Reducing Uncertanties of Mercury Loading into the Everglades Nutrient Removal Project by Haseeb Mahmood B.Eng. Civil Enginering, University of Benin, Nigeria, 1997 and Carolyn E. Metzger S.B. Civil and Environmental Engineering, MIT, 1997 S.B. Urban Studies and Planning, MIT, 1997 Submitted to the Department of Civil and Environmental Engineering in Partial Fulfillmet of the Requirements for the Degree of MASTER OF ENGINEERING in Civil and Environmental Engineering at the MASSACHUSETTS INSTITUTE OF TECHNOLOGY May 1998 © 1998 Massachusetts Institute of Technology. All rights reserved. Signature of A uthor........... ..... .... ... . .... ..... ; v... Signature of Author... ..... . . ....... . .. °.°..... ....................... ...... .. .. .. ............. Department of Civil and Environmental Engineering May 15, 1998 C ertified by.................................... V/ ... :...... ... ............................................................. Ole Mad S. Madsen Professor of Civil and Environmental Enginering Thesis Supervisor A ccepted by.................................. ......... . ..... . ................................. Joseph M. Sussman Chairman, Departmental Committee on Graduate Studies Reducing Uncertainties of Mercury Loading into the Everglades Nutrient Removal Project by Haseeb Mahmood Carolyn E. Metzger Submitted to the Department of Civil and Environmental Engineering On May 15, 1998 In Partial Fulfillment of the Requirements for the Degree of Master of Engineering in Civil and Environmental Engineering ABSTRACT For the past few decades, the Everglades ecosystem in south Florida has seen adverse water quality conditions due to extensive phosphorus and mercury loading. The Everglades Nutrient Removal Project (ENR) was created in 1994 by the South Florida Water Management District as a pilot plan to evaluate the effectiveness of constructed wetlands in removing phosphorus from the water that flows into the Everglades. Since the effects of the ENR on the transport and storage of mercury were unknown, extensive mercury monitoring and mass balance studies were performed. These studies have shown a considerable amount of uncertainty in the amount of mercury flowing into the ENR. This analyses attempts to determine a more accurate value of the total mercury that has entered into the ENR over the past three years. Mercury sorbs onto organic particulate matter which becomes the primary transport mechanism into the ENR. Past studies have established a mercury concentration of 150 ppb on the suspended solids. This study develops a sediment transport model for the supply canal that feeds the ENR that can be used to calculate the total mass of suspended solids flowing into the system at different flow rates. Combining the cumulative inflow of solids with the historical pumping data can determine the amount of mercury that has been transported into the ENR over the past three years. This total mass of mercury was then compared with previous estimates obtained by the South Florida Water Management District to help improve the mercury mass balance for the ENR. Thesis Supervisor: Professor Ole Madsen Title: Professor of Civil and Environmental Engineering ACKNOWLEDGMENTS This project would not have been possible without all of the help that we received during the course of the year. Our unquantifiable gratitude goes to our advisor, Professor Ole S. Madsen, for his painstaking effort, patience and valuable suggestions in the supervision of this work. His unfailing good humor made learning about sediment transport enjoyable, and we can't thank him enough for his help. There are many other people who we would like to thank: The Director of the M.Eng. program, Professor David Marks, for his invaluable support, guidance and all the wonderful lunches throughout the year. Scott Hassell, who is NOT our T.A. anymore, for helping to define the project, as well as traveling to Florida with us to help us while we were there. He took time out of his own thesis to help us with ours, and his insurance company will never look at him the same way again. Scott Vollrath for working with us on the project and letting us use his work on the hydraulic model for our thesis. Bruce Jacobs, for his support in creating this project, and his advice along the way. The staff from the South Florida Water Management District have been wonderfully supportive. We would specifically like to thank Larry Fink, the director of the Mercury Program, for managing our efforts, helping us in Florida, and introducing us to so many helpful people. Pete Rawlik was wonderful, and we appreciate both the help with our equipment and the food and kindness while we were in Florida. Darren Rumbold not only put up with our adventures while we were visiting, but has continued to be helpful since we have returned. Rich Meeker was very helpful in introducing us to the Everglades Nutrient Removal Project, and Angela Chong found any tiny bit of data that we needed. We would like to thank Nick Aumen for his early support that made the project possible. This project was an amazing learning experience for us all, and we would like to thank you all very much for helping us. We would also like to. Finally, and most importantly, we would like to thank our family and friends for all of their help and support. TABLE OF CONTENTS 1. Introduction and Project Background 1.1 Everglades History 8 8 1.2 Everglades Nutrient Removal Project 11 1.3 Identification ofProblem 11 1.4 ProjectObjectives 14 2. Field Experiments 16 2.1 Physical System Description 16 2.2 Equipment Description 2.2.1 TSS Masts 2.2.2 Niskin Bottles 2.2.3 YSI Probe 2.2.4 Sediment Samples 2.2.5 Water Elevation 2.2.6 Bathymetry Measurements 18 19 20 20 21 21 21 2.3 Experimental Conditions 2.3.1 Logistics 2.3.2 Weather Conditions 21 22 23 3. Preliminary Discussion of Data 25 3.1 YSI Probe 25 3.2 TSS Data 25 3.3 Surface Elevation Data 27 3.4 Bathymetry 27 3.5 PreliminaryConclusions 3.5.1 Inflow/Outflow 3.5.2 TSS Depth Variation 3.5.3 PVC Pipe/Niskin Bottle Calibrations 28 28 29 30 4. Hydraulic Model of Supply Canal Flow 31 4.1 Deriving the Equationfor Shear Stress 31 4.2 Estimation ofManning's n in the Supply Canal 4.2.1 Modeling the Equation to Obtain an Estimate for Manning's n 4.2.2 Results of the Modeling 4.2.3 Alternate Cross-Sectional Areas on Manning's n Values 32 34 35 37 4.3 DeterminingShear Stresses with the Estimate of n 4.4 Determiningthe CriticalShear Stress 5. Sediment Characteristics 5.1 Settling Velocity 5.2 Grain Size Distribution 5.3 'Transportof Cohesionless Particles 5.4 Comparison of Fieldand LaboratoryData 6. Transport Model 6.1 Governing Equation 6.2 Trends in Mass Flux 6.3 Model 6. 4 HistoricalData 7. Conclusion 8. References 9. Appendices Appendix A: Experimental Data Appendix B. Grain Size and OrganicContent Analysis Appendix C: Head Loss ParameterModelingfor the Entrance Culverts to the ENR Supply Canal 104 Appendix D: Datafrom Sediment TransportModel 107 List of Figures Figure 1-1: M ap of South Florida [2] ............................................................ ........................... 9 Figure 1-2: M ap of EN R [2] ........................................................................... ........................ 12 13 Figure 1-3: SFWMD Mercury Mass Balance [2] ..................................... ............ 16 Figure 2-1: Plan View of Supply Canal ............................................................................. Figure 2-2: Supply Canal cross Section, as Designed ........................................ ...... 17 Figure 2-3: Backw ater Curve ............................................ ...................................................... 17 Figure 2-4: Sampling Stations along Supply Canal..............................................18 Figure 2-5: PVC Pipe/Tygon Tube Apparatus.............................................. 19 Figure 3-1: TSS Concentrations for 400 cfs Pump Test ............................................................ 26 Figure 3-2: TSS Concentrations at Station 4 ................................................... 26 Figure 3-3: Stage Variation over Time for 400 cfs Pump Test.................................. .... 27 Figure 3-4: M easured Canal Cross-Sections....................................... .................................... 28 Figure 3-5: TSS Depth Profile for Station 3 at 400 cfs............................................29 Figure 4-1: log K and log Z vs log h.................................................................... ................... 36 Figure 4-2: Regression to Determine the Critical Flow Rate ..................................... ... 40 Figure 5-1: TSS Concentrations at Different Depths as a Function of Time after Pumping Stopped for Settling Velocity Tests at 300 cfs (Station 4)................................... ... 43 Figure 5-2: TSS Concentrations at Different Depths as a Function of Time after Pumping Stopped for Settling Velocity Tests at 500 cfs (Station 4)................................... .... 43 Figure 5-3: Settling Velocity Test for 300 cfs at Station 4 ...................................... ..... 44 Figure 5-4: Settling Velocity Test at 300cfs for Station 4 ......................................................... 45 Figure 5-5: Location of Sediment Sampling Sites.................................48 Figure 5-6: Grain Size Distribution Curve for Sample 51 ....................................... ..... 49 Figure 5-7: M odified Shields Curve [13]................................................................................... 51 Figure 5-8: Shear Stress Required to Initiate Motion of a Quartz Particle in Water ................. 51 Figure 5-9: Equivalent Diameters from Settling Velocity ...................................... ..... 53 Figure 6-1: Mass Flux within the Canal .................................................. 55 Figure 6-2: Calculating a Values for Segment 3 .................................................. 57 Figure 6-3: Alpha Variations over Time................................................... ..................... 58 Figure 6-4: Mass Flux for each Canal Segment.............................................. 59 Figure 6-5: Historical M ercury Profile ................................................................... ................ 61 List of Tables Table 2-1: Table 2-2: Table 2-3: Table 2-4: Table 3-1: Table 3-2: Table 3-3: Table 4-1: Table 4-2: Table 4-3: Table 4-4: Table 4-5: Table 5-1: Table 5-2: Table 5-3: Table 5-4: Table 5-5: Table 5-6: Table 5-7: Table 6-1: Table 6-2: Table 6-3: Table 6-4: Table 6-5: ..... 19 Sampling Depths Available for Pumping Tests ..................................... ....... 22 Times and Dates for Pumping Tests........................................... Residence Times for Each Flow Rate ................................................ 23 ...... 24 Weather Conditions during Pump Tests....................................... ...... 25 Turbidity Data for YSI Probe at Station 5....................................... Relationships between Stations 1, 2, 5, and 6 ............................................................ 29 ... 30 Comparison of Niskin Bottle and PVC Pipe Apparatus........................... Estimates from the Log-Log Fit .................................................... 35 Manning's n Estimates for Varying Flow Rates ...................................... .... 36 Typical Manning's n Values for Various Excavated Earth Channels ...................... 36 Alternate Cross Sectional Areas on Manning's n Values ..................................... 37 Shear Stress Estimates for Varying Flow Rates ..................................... ..... 39 Settling Velocities (ft/hr) for Different Flow Rates .................................................... 45 Settling Velocity (ft/hr) for Stations 4 and 5 after Pumping ...................... 46 Values of C/Co for 500 cfs at Station 4 ............................................... 47 Values of C/Co for 300 cfs at Station 4 ....................................................................... 47 Average Settling Velocities and Standard Deviations for Different Flow Rates ........ 47 Particle Size Moved at Different Flow rates ....................................... ..... 52 Relative Concentrations of 0.1mm Diameter Particles at 200 cfs and 500 cfs ........... 53 Alpha Values (s/m) by Canal Segment ......................................... ...... 57 Finding Concentrations at Station 5 ................................................... 60 Comparison of Model Results and Experimental Data ............................................... 61 Duration of Pumping during Concentration Spike ...................................... ... 62 Yearly M ercury Inflows into ENR.........................................................................62 1. Introduction and Project Background The Everglades Nutrient Removal Project in south Florida has possible mercury problems, and the South Florida Water Management District is attempting to create a mass balance of mercury flux in and out of the system. This project will attempt to define amounts of mercury entering the system. To achieve this goal, the problem was clearly identified, and possible solutions were compared. An experimental procedure was delineated to solve the problem, and then the data gathered through experimentation was analyzed. The following report will explain all the steps necessary to reach the final conclusions of the mercury flux into the project. 1.1 Everglades History South Florida is an extremely flat area that was historically composed of wetlands. The ground surface is very close to mean sea level, but there is slightly higher land near the ocean. The interior land is the Everglades, which is a "river of grass." The free water surface is slightly above the ground surface, so that water is often visible through the surrounding plant life. The plants are usually grasses, with tree islands interspersed on mounds of slightly higher ground. This land is undesirable for settlement because of the high water table, but the climate in south Florida makes it a popular place to live. Most areas around the Everglades have been settled, but these areas have only slightly higher elevations than interior Florida. The weather patterns in the area consist of very warm weather with frequent large rain storms. During a wet season, the greater than average rainfalls quickly cause flooding of the lower elevations. In the late 1940s, heavy rainfall resulted in flooding of Lake Okeechobee, located in central Florida, which killed approximately 200 people near Clewiston. This flooding resulted in the creation of a flood plan to account for extreme weather conditions. Canals and streams were modified to allow improved control of water levels, and almost 700,000 acres of wetlands south of Lake Okeechobee were drained. The new water levels allowed farmers to start planting in these drained areas which were previously unfit for farming. These newly planted areas became known as the Everglades Agricultural Area (EAA), where the primary crop was sugarcane. [12] With the creation of larger canals, the land that was previously entirely natural wetlands began to diversify and have different uses. Lake Okeechobee led into the EAA, which fed into the Water Conservation Areas (WCA). These areas were created to maintain a reservoir of water to serve as a water supply during dry seasons. Downstream from the WCAs is the Everglades National Park (see Figure 1-1). Everglades Nutrient Removal Lake Okeechobee Stormwater Treatment Area (STA) Figure 1-1: Map of South Florida [2] Everglades National Park is a home to many varieties of plants and animals, some of which are endangered, such as the Florida Panther and the Cape Sable Sparrow. The water entering the park plays a very important part in the ecosystem that has developed with ground that is primarily covered with a thin layer of water. Water comes from Lake Okeechobee all the way through central south Florida. Water flows easily into the park from central Florida through both surface water and groundwater. Groundwater flows are aided because the transmissivity of the ground is very high. Water quality problems started to occur in the 1970s, when above average phosphorus levels began changing the plant composition. The Everglades evolved in a low phosphorus environment, so they were populated with plants that grow well in low phosphorus conditions. With the added concentrations, new plants started growing that could out-compete the traditional plants. An example of this problem is the slow transition from sawgrass, which is a traditional plant covering most of the Everglades, to cattails, which dominate in higher phosphorus environments. The additional phosphorus was attributed to the increase in sugarcane farming in the EAA, which uses fertilizers containing phosphorus. [12] Mercury was also identified to be a water quality problem that needed attention. The first indication of a problem was bioaccumulation in animals that is sometimes toxic. Mercury poisoning has been cited as the primary or secondary cause of death of several endangered Florida Panthers. It became an important concern to understand where the mercury was coming from, and to attempt to reduce the amounts in the Everglades system. Mercury is deposited into the atmosphere from both man-made and natural sources. The largest contributions are due to anthropogenic sources such as the burning of fossil fuels and the incineration of waste. Mercury can remain in the atmosphere for several years until it falls back to earth as dust, or is collected into a cloud formation. Recent studies have shown that south Florida is a global mercury sink because the large thunderstorms gather mercury from the atmosphere that has been accumulating around the world. The mercury that is deposited on the ground is not the type of mercury that is directly responsible for bioaccumulation. This mercury is transformed to methyl mercury, which is the most toxic form of mercury and has a tendency to bioaccumulate. It is formed by attaching a methyl group to the ionic species of mercury, which forms the mono-methyl mercury ion. This compound has a low excretion rate and is very toxic. Mercury methylation is carried out primarily by sulfur reducing bacteria located in anoxic aquatic environments such as lakes and wetlands, so this is a particular problem in the Everglades. The phosphorus and mercury problems in the Everglades ecosystem caused the Environmental Protection Agency to sue the South Florida Water Management District (SFWMD) in 1988 for not providing "naturally clean" water to the Everglades. This lawsuit brought about a radical change in the objectives of the SFWMD. Traditionally, SFWMD's primary objective was flood control and procuring enough water for South Florida's developmental and agricultural needs. The organization was now mandated to reduce phosphorus concentrations in the water feeding into the Everglades in an attempt to try to restore the ecosystem. Strategies were discussed, and Stormwater Treatment Areas (STAs) were suggested and finally accepted. STAs are constructed wetlands that are designed to remove phosphorus from the water entering the Everglades. The plants in the wetland use the phosphorus to grow, so the wetland acts as a phosphorus sink. [12] The Florida Legislature passed the Everglades Forever Act in 1994, which requires the SFWMD to create strategies for restoration and protection of the Everglades. This act mandates appropriate levels of phosphorus entering the Everglades. Phosphorus reduction was required to attempt to preserve the historical plant composition of the area. Mercury levels were also under restriction because it was recognized that the bioaccumulation was causing animal death. [11] 1.2 Everglades Nutrient Removal Project The Everglades Nutrient Removal Project (ENR) was created in 1994 as the first STA. The final plan is to have an STA located on each of the five major canals that carry water from Lake Okeechobee throughout south Florida. Although a pilot program, the ENR is the largest constructed wetland in the United States at 3,800 acres, and is only one tenth of the 40,000 total acres that are planned for all five STAs. The ENR takes water from the West Palm Beach Canal (WPBC), which is one of the five large canals that divert water from Lake Okeechobee through south Florida. A fraction of the water from the WPBC is diverted through a supply canal and enters the ENR. [11, 12] The ENR has 2 flow paths, both of which have 2 cells (see Figure 1-2). The flow way cells have vegetation that is not controlled, and the polishing cells are used to experiment with different phosphorus removal techniques. [12] The phosphorus removal is mandated by the Everglades Forever Act, so there is extensive testing of phosphorus concentrations throughout the ENR. The legislation also requires mercury monitoring to ensure that creating a wetland on possibly contaminated land does not become a mercury source [3]. In addition, wetlands methylate mercury, and it was necessary to monitor the mercury amounts to ensure that the wetland was not causing new problems. 1.3 Identification of Problem During the ENR's three-year period of operation, the SFWMD has been creating a mercury mass balance to measure the mercury flux. The results are still uncertain, and one area of uncertainty is the inflow into the ENR. The correct inflow is a major aspect of the mass balance, so it is difficult to draw any conclusions until the amounts of mercury entering the system are quantified. The mercury concentrations are only measured once every two weeks, S-5A EAA L ._ " /- Innflow 4O Pump Station Flow-way Cell 1 Arthur R. Marshall Loxahatchee National Wildlife Refuge (Water Conservation Area 1) Direction of TH Flow f Station In El E Figure 1-2: Map of ENR [2] Research Test Cell 0N regardless of the pumping rate at the time of sampling. The duration of each pumping period is used to estimate a volume of water entering the ENR, and this volume is divided by fourteen days to find the average flow rate during that period. The average flow rate and concentration are used to estimate mercury inflows. The primary problem with the mercury mass balance is that only around 1000 g of mercury are entering the system, but there are over 30,000 g being stored in the sediments (see Figure 1-3). To correct the problems with the mass balance, studies would need to find more mercury is entering the system, or less is being stored. The original hypothesis in this study is that additional mercury inflows will be discovered. Bulk Depoetlaon blow Pump 390 Ar sion Oa4I w Pump 1.mj 1 2? Figure 1-3: SFWMD Mercury Mass Balance [2] found to contribute water only negligible amounts sampliung of mercury.) [2] The method used is alhmiseladicka I Rsidul S paoe Total Mercury Mass udget for the N Pojecd in sampling for the Figure 1-3: SFWMD Mercury Mass Balance [2] The primary method of transport into the ENR is through water, so the mercury samples are taken from water entering the ENR. (Other methods of transport have been investigated, but found to contribute only negligible amounts of mercury.) [2] The water sampling method used is designed as a "double safe" method to prevent contamination during testing. The method preserves the integrity of data collected, but increases costs involved in sampling for the mercury. In addition, contracting the mercury analysis to an exterior laboratory is expensive. Testing for mercury every two weeks is cost effective, but it is inaccurate. Weather in south Florida is very volatile, and there are frequently large storms. These storms create surges of water, which are not taken into account by infrequent testing. The mercury concentration tests are taken at whatever pumping rate happens to be operating when the workers are ready to test, and these concentrations are assumed to be constant over two weeks. This does not take into account that each pumping rate is likely to have different amounts of mercury entering the system. The current mercury estimation method does not account for weather, pumping, or other reasons for variation. The answer is more difficult than increasing the numbers of samples because the samples are so expensive to collect and analyze. The SFWMD performed an experiment that experimentally established a connection between TSS and mercury concentrations. The test compared filtered and unfiltered mercury samples during pumping and found the concentrations of sediments for different mercury concentrations. A connection between mercury and TSS of 150 jtg/kg was established. [2] 1.4 Project Objectives The objective of this project is to improve the estimates of mercury inflows to the ENR over the three-year operating period. The result will be a total mass of mercury that has entered the system, which will include any spikes that might occur due to storm systems. This estimate will replace the current estimates that are derived from taking one representative mercury measurement every two weeks. TSS measurements are much easier to perform and less expensive to analyze than mercury measurements, so it is more practical to evaluate mercury loading from TSS data. Therefore, a sediment transport model will be created to show the amounts of TSS that enter the ENR for different pumping rates. The mass of TSS can be multiplied by the mercury/TSS concentration ratio to establish how much mercury enters the ENR for different pumping rates. Historical pumping records are available, and will be used to back-calculate the mercury inflows since the ENR began operation. To accomplish these goals, several experiments were performed. TSS measurements throughout the supply canal leading into the ENR were taken. These measurements were performed at different depths at several sites along the canal during pumping tests of different flow rates. The results from these tests will help to characterize the sediment transport through the canal and assist in the creation of the transport model. TSS measurements were also taken after the pumps stopped running. This data helped to explain how the TSS concentrations in the canal reacted after the water stopped moving into the ENR. It provided an estimate of the fall velocity of the particles suspended during pumping, which also helped characterize the way that sediments travel through the canal. Grab samples of the canal sediments were taken to further examine sediment characteristics. A grain size analysis was performed to find the composition of the sediments. This provided another estimate of settling velocity as well as an idea of what particles within the sediments can be resuspended by flow in the canal. A hydraulic model of the canal was created to assist in the creation of the sediment transport model. The hydraulic model defines the flow characteristics within the supply canal during different pumping rates, and the flow characteristics can illustrate how sediments are suspended during flow. To create this model, it was necessary to measure the changes in water elevations during pumping at the beginning and end of the canal. Examining flow patterns in the canal requires knowledge about the canal. At each station throughout the canal, measurements were taken of the depth of water so that the canal crosssections could be determined. These measurements were performed at no-flow conditions when no water was entering the ENR. 2. Field Experiments The experiments necessary to reach the project goals were performed during a trip to Florida from January 11 to January 25, 1998. The experiments were performed on the supply canal into the ENR because the major point of interest was the TSS concentrations entering the ENR. Most of the sediment entering the ENR is thought to come from the supply canal, so the supply canal was chosen as a control volume to examine sediment transport. 2.1 Physical System Description The water entering the ENR travels from the West Palm Beach Canal through a horizontal supply canal that is 2.2 miles long. The water enters the canal through five culverts each with an eight foot diameter that pass under a road that leads to the ENR. It is then pumped out of the canal at the opposite end by six 100 cfs capacity pumps (see Figure 2-1). Each pump is a toggle pump, so it can only pump at 0 or 100 cfs. WPBC I-- Access Road Entry Culverts 2.2 miles OO Pump House ENR Figure 2-1: Plan View of Supply Canal The canal is straight and was constructed to have a trapezoidal cross-section (see Figure 2-2). The canal was simply dug into existing ground, and was not constructed with a liner [10]. Erosion of the canal during operation has caused the trapezoidal shape to alter in some areas. 12 ft 1 I 28 ft I Figure 2-2: Supply Canal cross Section, as Designed Studies have examined the canal's current condition, and found that it has been seriously eroded since construction. Erosion has changed the shape of the canal because it has caused the sediments on the sides to fall into the canal and settle on the bottom. Deposition decreases the cross-sectional area available for flow, which can result in velocities higher than the allowable design velocity of 2.5 feet per second. A cycle is created where additional erosion causes additional velocities, which in turn increase erosion. The SFWMD investigated options for repairing the canal in a way that would decrease the erosion, but decided not to act immediately. Because the ENR will be expanded in one year and the supply canal will not be necessary, improvements would not be cost-effective. The areas that are the most seriously eroded have had a protective covering installed in an attempt to temporarily control erosion. [5] The bottom of the canal is flat, so when the pumps start, they cause the depth of the water to decrease by the pumps. This change in depth is known as a backwater curve, and the water surface slope drives the flow through the canal (see Figure 2-3). 1 WPBC x= 0 Pumps x = 2.2 miles Figure 2-3: Backwater Curve The change in depth (h, - h2) through the canal results in a higher velocity towards the pumps because when the cross-sectional area decreases, the velocity must increase to keep the flow rate constant. A higher velocity means that there will be a greater shear stress on the bottom and sides of the canal closer to the pumps, which will result in greater sediment resuspension. The increased rates of sedimentation will cause the TSS concentrations to increase at a faster rate near the pumps. TSS measurements were taken at six different sites for various pumping rates. The first site was located in the West Palm Beach Canal and the last site was located in the ENR on the downstream side of the pumps. The remaining four sites were located in the supply canal and were used to take water samples at different depths (see Figure 2-4). Pump House 3 4 5 Figure 2-4: Sampling Stations along Supply Canal The testing sites in the supply canal were skewed towards the pump end of the canal. The most particle resuspension occurs where the shear stresses are the greatest, and the backwater curves show that this will be close to the pumps. The stations were located by the culverts bringing water from the WPBC, 1.1 miles towards the pumps, 1.7 miles, and then right before the pumps. Stations 1, 2, and 5 were chosen because the SFWMD already had sampling sites there. The existing sampling sites had piers extending into the canal, so measurements could be taken more easily. They also had testing apparatus that helped with data collection. The sample taken in the WPBC (station 1) was used to establish a baseline of how much TSS was entering the supply canal. The first site within the supply canal (station 2) was located very close to the WPBC, and it was expected that a comparison would show that the supply canal site was an accurate measure of TSS entering the supply canal from the WPBC. The sample taken in the ENR was used to ensure that the TSS measurements taken at the final station in the supply canal (station 5) were indicative of the TSS amounts that actually entered the ENR. The supply canal is treated as a control volume for water. Stations 2 and 5 are the ideal locations for the boundaries of the control volume and stations 1 and 6 were tested to ensure that these sites captured the correct TSS concentrations entering and leaving the control volume. 2.2 Equipment Description To perform the necessary experiments, different equipment was used. Some of the equipment simply had to be located, but some had to be designed. This section will outline the equipment used, and how it was constructed (if necessary). Knowing the uses of the equipment gives a clearer view of how the experiments were performed. 2.2.1 TSS Masts The four stations within the canal had water quality samplers made of PVC pipe and tygon tubing to take water samples. The three inch diameter PVC pipe had holes drilled at heights of 0.5, 3, 5.5, and 8 feet above the base. A piece of tubing went from each hole, through the center of the pipe, and out through the top (see Figure 2-5). It connected to tubing that lead to the bank, where one liter samples were taken using peristaltic pumps to draw water from each depth. The PVC pipes were also stabilized with ropes that attached the top of the pipe to the banks on either side of the canal. This was necessary because the PVC pipe was not sturdy enough to stand up straight with fast velocities in the canal. to bank 2.5 ft 2.5 ft 2.5 ft 0.5 ft Figure 2-5: PVC Pipe/Tygon Tube Apparatus The water depth changed during the pumping, so it was difficult to get samples from the higher levels when the water was low. We had a fifth pipe that had a fish float attached six inches from the end to get a reading that was six inches from the surface of the water, as shown in Figure 2-5. However, the actual depth of the canal was significantly less than the design depth shown in engineering drawings, with depths between 7 feet near the pumps to 10 feet closer to the middle of the canal. Table 2-1 shows which sampling levels were underwater during the different pumping tests. Table 2-1: Sampling Depths Available for Pumping Tests Sampling level above bottom (ft) 0.5 3.0 5.5 Station 2 Station 3 Station 4 Station 5 100-600 cfs 100-600 cfs 100-600 cfs 100-600 cfs 100-600 cfs 100-600 cfs 100-600 cfs 100-600 cfs 100-600 cfs 100-600 cfs 100-600 cfs 100-400 cfs 8.0 100-400 cfs 100-600 cfs 100-600 cfs Surface 100-400 cfs This design was created in cooperation with the SFWMD, who assembled the apparatus. To arrive at this final design, many different options were considered. One concern with this design is that sediments would adhere to the tygon tubing, so the TSS concentrations measured would be less than those found in the canal. This concern was partly addressed by purging the system for five minutes before taking each sample, and taking each sample at flow rates that ensured turbulent conditions within the tube. 2.2.2 Niskin Bottles The stations in the WPBC (station 1) and behind the pumps (station 6) required different sets of equipment. The water in the WPBC was too turbulent for the standard apparatus, and it would have been difficult to tie ropes to support a similar apparatus because both the canal and the ENR cell are too wide. A shortage of manpower also would have made it difficult to have a person to take samples at any additional stations. The purpose of these stations was not to provide information for the transport model, but to verify that the data collected at stations 2 and 5 were accurate boundary representations. Therefore, a distribution of TSS with depth was not necessary. Two one-liter Niskin bottles were used to collect samples approximately three feet below the water surface. A Niskin bottle is a water sampling device where a bottle is lowered to a desired depth, then a weight, referred to as a "messenger," is dropped down the rope to close the ends of the bottle and collect the water sample. To ensure that the two testing methods were compatible, both the PVC pipe apparatus and Niskin bottle samples were taken at station 5. Taking both samples at one station provided a comparison between the two methods as an estimate of losses through the tygon tubing. If there were losses, these measurements could be used to find a loss factor that would equate the two methods. 2.2.3 YSI Probe In addition to gathering TSS data from water samples, there is also information from turbidity sampling that is regularly collected in the canal. Turbidity is a measure of water clarity, and can be calibrated to give TSS concentrations. There was a turbidity probe installed near the pumps at the beginning of ENR operation, but the data was unreliable. This apparatus did not work because the device to measure TSS was covered with microbial growth, so the device artificially inflated TSS. A YSI probe was recently installed to measure conductivity, dissolved oxygen, temperature, and turbidity, and this probe is much more reliable. During the pumping tests, the installed probe and a mobile probe were used. They were not specifically calibrated to TSS concentrations, but the changes in turbidity also indicate changes in TSS. The probe provided instantaneous turbidity measurements, and the relative changes were quite useful. For example, the 100 cfs pumping test was not performed because the turbidity measurements for 200 cfs showed that very minor amounts of sediment were being suspended. Measurements taken at stations 2 and 5 produced similar turbidity readings, which indicated that the TSS entering the ENR was in the water entering from the WPBC, and not resuspended from the bottom of the supply canal for this flow rate of 200 cfs. 2.2.4 Sediment Samples The grab samples were taken using an Eckman dredge. This dredge is a metal box with ten inch sides. It is dropped into the sediment at the bottom of the canal, and then a "messenger" weight is dropped along a rope to trigger the jaws on the bottom to spring shut. This results in a sample depth of approximately six inches. The dredge was portable, and was used both from the pier and the end of a boat so that samples could be obtained from the sides and the center of the canal. 2.2.5 Water Elevation During the pumping tests, water elevations were also recorded. The changes in elevations over time were measured in the WPBC and at the beginning and end of the supply canal. The differences between the stage in the WPBC and the beginning of the supply canal allow calculations of the losses that occur through the culverts into the canal. The stage changes between the beginning and end of the canal are important to calculate the hydraulic parameters of the canal. More details about the stage changes are found in Section 4. The water surface elevation was measured using stage gauges that were previously installed by SFWMD at stations 1, 2, and 5 to provide constant stage data. The gauges measured the distance above mean sea level. 2.2.6 Bathymetry Measurements Bathymetric measurements were taken at stations 2, 3, and 4 in the canal to determine the crosssectional profile of the canal. Measurements were also taken at station 5, but they were not as helpful in determining cross-sectional area of the canal because station 5 is located where the canal widens before the pumps. Measurements were taken from the back of a boat, using a heavy concrete weight tied to a string. The weight was lowered until it reached the bottom, and depths were recorded at different widths across the canal. 2.3 Experimental Conditions The planned experimental procedure differed from the actual procedure performed, and it will be helpful to understand what was planned. The original plan formulated prior to on site investigation was to begin pump tests at 100 cfs, and increase pumping each day (in 100 cfs increments) to 600 cfs. The pumps would run long enough to replace all water in the supply canal with water from the WPBC. The sediment samples would be taken both before and after pumping to examine changes in the sediment structure that might occur during the pump tests. The next section outlines the actual procedure, and any reasons for changes that occurred during experimentation. 2.3.1 Logistics Four MIT graduate students traveled to South Florida to perform these experiments. During testing, one person was positioned at each sampling station within the canal (stations 2-5). The sampling sites in the WPBC and the ENR were close to the end stations within the supply canal, so the people at the ends of the canal also took Niskin samples and recorded stages at stations 1 and 6. The MIT students were working closely with the SFWMD, and there were staff members present during the experiments. The SFWMD employees took readings with the YSI probe as well as TSS samples. The first four days of the trip were spent learning about the SFWMD and setting up the equipment within the supply canal. The PVC pipe apparatuses were assembled before arrival, so it was only necessary to bring them to the supply canal and install them in the desired locations. The pump tests began on Thursday, January 15, and are completely delineated in Table 2-2. Table 2-2: Times and Dates for Pumping Tests Q (cfs) Date 1 100 200 300 400 500 600 1/15/98 1/21/98 1/16/98 1/17/98 1/18/98 1/19/98 0 0 0 0 2 6 1.5 6 1 0.75 0.5 Sampling Numbers 3 4 5 3 7.5 2 1.5 4.5 9 3 2.25 6 10.5 4 3 Settling Tests No No Yes No Yes No The numbers listed at the top of the table represent sampling numbers. In each column under the sampling numbers are the hours after pumping started that each test was taken. For each pump test, the goal was to take five samples: one before the pumps started running (test zero), and four at different times during the pumping period. The lengths of each test were calculated based on the residence times of the water in the supply canal at each pumping rate. The goal was to fully replace the water in the canal, and the volume of water in the canal was estimated to be 1.13x1 05 cubic meters. This estimate was divided by pumping rates to find residence times (Table 2-3). The times for each sample were calculated by dividing the entire time of the pumping test evenly into four segments. Table 2-3: Residence Times for Each Flow Rate Q (cfs) 100 Residence Time (hours) 11.11 200 5.56 300 400 500 600 3.70 2.78 2.22 1.85 The testing is not intuitively ordered because all experimentation did not run according to the original plan. The 300 cfs test occurred on the second day of testing because there was a storm system moving through the area, and the higher pumping rates were required to accommodate additional flows. This decision was made by the SFWMD headquarters in their ongoing attempts to avoid flooding during storms, and research is a much lower priority. This test does not have a sample before pumping begins because the pumps started running six hours before the water sampling began. In Table 2-2, these irregularities are indicated in that there is no zero test before pumping, and the first sampling number occurs at 6 hours after pumping began. This is the best example of a steady state situation because the pumps had been running at 300 cfs for six hours before sampling, and at 200 cfs for 8 hours before that. The 100 cfs pumping trial was not a necessary test, and the samples were taken just for background information. This test was not necessary because the low velocities and shear stresses at 100 cfs suspend very little sediment. The one value obtained was taken when the pumps were supposed to be turned off, and this sample is used only as verification that the test was unnecessary. The 600 cfs pump test was attempted, but the pumps are usually not operated at 600 cfs because the high velocities are suspected to cause serious erosion of the canal. During the 600 cfs test, debris floating on the surface quickly blocked the entrance to the pumps and caused the pumps to turn off automatically due to the pressure drop as the pumps approached cavitation. The only samples that were collected were the samples before pumping began, and the first sample after half an hour. The settling velocity tests were run after the 300 and 500 cfs pumping tests. Only stations 4 and 5 were used because the TSS concentrations were the highest, and the higher concentrations produced a more complete idea of the settling velocities. Samples were taken at all depths at 0.5, 1, 2, and 3.5 hours after pumping ended. 2.3.2 Weather Conditions The weather in south Florida changes very rapidly, and had a large effect on experimental procedure. As previously mentioned, the 300 cfs pump test occurred sooner than planned because of a storm system. The weather conditions for each day of pumping tests are shown in Table 2-4. Table 2-4: Weather Conditions during Pump Tests Pumping Date Weather 200 300 400 500 1/21/98 1/16/98 1/17/98 1/18/98 Medium winds in direction of flow Rain overnight, canals very full Sunny Light winds in direction of flow 600 1/19/98 Strong winds against flow On the final day planned for testing, a large storm hit south Florida and created serious flooding. Many roads were impassable, and the SFWMD would not allow any experiments in the field because of safety concerns. 3. Preliminary Discussion of Data The data is essential in developing the hydraulic and transport models, but some observations can be made simply from looking at the data. All of the TSS data is tabulated in Appendix A, and the implications of this data will be discussed throughout the rest of the report. 3.1 YSI Probe The data from the YSI probe was obtained immediately and was very useful. It was evident that there was an increase in TSS with higher pumping rates, and an increase from station 2 to station 5. Table 3-1 illustrates the changes in turbidity data at station 5 during the pumping tests. Table 3-1: Turbidity Data for YSI Probe at Station 5 Pumping Rate (cfs) 200 300 400 500 YSI Turbidity (NTUs) 8-9 20s 30s 40s It was expected that TSS concentrations would be directly proportional to shear stress, which is proportional to the square of the flow rate. (For a more detailed explanation, see section 4.) While turbidity is not a direct measure of TSS, it is proportional to the TSS concentrations. TSS oc Turbidity oc r ac Q2 (3.1) This relationship is shown in the turbidity data. The pumping rate (Q) doubles from 200 to 400 cfs, so the turbidity should increase by a factor of four. This theory is consistent with the data because the 8-9 NTUs at 200 cfs quadruple to results in the 30s at 400 cfs. 3.2 TSS Data The TSS data has trends that follow the turbidity data. There are several interesting points that can be noted just from looking at the data. Figure 3-1 illustrates how TSS concentrations vary from station to station. In this situation, the pumping rate is constant, and the chart shows how the concentrations vary over time at each station. As expected, TSS increases along the length of the canal, indicating that sediments are being resuspended within the canal. 35 -- Station 2 Station 3 -30 25 20 -- -- Station 4 -- X-- Station 5 15 10 5 0 0 1 2 3 4 Sampling Number Figure 3-1: TSS Concentrations for 400 cfs Pump Test Figure 3-2 shows how the depth averaged TSS changes over time for each flow rate at station 4. At the beginning of the test, the TSS concentrations increase rapidly. This initial surge can be accounted for by the fluff layer located on the top of the canal sediments. This layer is primarily sediments that settled out of the water after the pumping stopped from the previous test, and these materials are very easily resuspended. However, it was expected that after the initial surge, the TSS values would reach a steady state concentration. It is therefore possible that modeling the suspended solids in a way that accounts for the changes over time might produce more accurate results. 50 45 40 --+ 35 30 25 c 20 --15 10 -*--300 cfs 400 cfs -- 500 cfs 5 0 0 100 cfs 2--200 cfs 1 2 3 4 Sampling Number Figure 3-2: TSS Concentrations at Station 4 3.3 Surface Elevation Data Measurements of surface elevation were taken manually, but measurements are also available from SFWMD's existing testing facilities. These measurements are averaged over fifteen minutes to result in one estimate of stage (water surface elevation above mean sea level). Figure 3-3 shows how the manual data compares with the automatic data. The stage data for each pump test is listed in Appendix A. 10.8 10.6 10.4 10.2 * " 10 m Station 5,manual 9.8 S-t- Station 2, SFWMD 9.6 9.4 Station 2, manual Station 5, SFWMD 9.---- 9.2 9 8.8 Time Figure 3-3: Stage Variation over Time for 400 cfs Pump Test The manual measurements are slightly higher than the automatic measurements, but the differences are uniform. The main concern is the difference between the levels at station 2 and station 5, not the absolute levels themselves (see Chapter 4). The differences measured manually are very close to the differences measured by SFWMD equipment. The surface elevation data also helps to determine steady state conditions. There is always an initial drop and a concluding spike in elevation data due to the abrupt changes when the pumps are turned on and off. After these quick changes, the data levels off to steady state values after approximately 30-45 minutes. 3.4 Bathymetry The measurements of the cross-sections of the canal are shown in Figure 3-4. The designed cross-section is outlined by the heavy black line, and it is obvious that the existing geometry has changed. In general, the canal has flattened out, with the sides of the canal eroding and depositing on the bottom. 10 E 8 -An- 6- , .! Station 2 - Station 3 ---- Station 4 // 4 Design 2 20 10 0 30 40 50 Distance from southeast bank (ft) Figure 3-4: Measured Canal Cross-Sections The designed depth is greater than the actual depth at any of the stations. This discrepancy is partially caused by the erosion from the sides of the canal decreasing the depth. Also, the design width illustrates the maximum depth that the canal can hold, and the measured cross-sections only examine the water that was actually in the canal on January 15. 3.5 Preliminary Conclusions Examining the data gathered can yield some helpful conclusions. These conclusions are not based on extensive analysis of the data, but simple examination of the data. More complicated analyses will follow in Chapters 4, 5, and 6, but these observations will simplify following calculations. 3.5.1 Inflow/Outflow The concentrations for station 1 and station 2 were very close, as were the concentrations for stations 5 and 6. This similarity is helpful in creation of the model because stations 2 and 5 in the supply canal can be used as boundaries for sediment transport. To illustrate the results, Table 3-2 shows the average ratios of TSS concentrations between stations during each pumping rate. Table 3-2: Relationships between Stations 1, 2, 5, and 6 Pumping Rate (cfs) 200 300 400 500 Station 5/ENR 0.91 0.92 1.05 0.98 Station 2/WPBC 1.10 1.03 0.98 1.03 This table illustrates that the ratios are very close to one, which indicates that the values are approximately equal. The data illustrates that the TSS concentrations at station 2 can be assumed to equal the concentration entering the canal, and the measurements at station 5 also equal the concentration entering the ENR. The TSS amounts entering the ENR are the final goal of the transport model, so it is important to note that this amount can be derived from the TSS at station 5 and the flow rate patterns. 3.5.2 TSS Depth Variation The profile of TSS concentration versus depth was not consistent between samples. This indicates that there is no typical stratification of TSS over the canal depth, and suggests that a uniform distribution might be appropriate. A uniform distribution of TSS concentration suggests that the settling velocity is negligibly small, and this issue will be further addressed in the following section. 0 10 20 30 40 -- Sampling Number I --- Sampling Number 2 -- Sampling Number 3 --- Sampling Number 4 50 TSS (mg/I) Figure 3-5: TSS Depth Profile for Station 3 at 400 cfs While the general trend is an increase in the TSS concentration with increasing depth from the surface, this trend is not seen in all data. Some data (such as sampling number 2 in Figure 3-5) has no discernible pattern. For the examples where a trend does exist, the change in TSS concentration from the top of the canal to the bottom is at most twice as high. Because the patterns are irregular, the TSS profile with depth has been assumed to be uniform. This assumption is more completely justified in Chapter 5. 3.5.3 PVC Pipe/Niskin Bottle Calibrations The Niskin calibrations at station 5 were relatively close to the concentrations measured through the tygon tubing apparatus. The data for Station 5 during the 500 cfs pumping test is illustrated in Table 3-3. The Niskin sample was taken at the same level as the port on the PVC pipe that was 3 feet from the bottom. Table 3-3: Comparison of Niskin Bottle and PVC Pipe Apparatus Sampling Number 1 2 3 4 PVC Pipe Apparatus 36 47 50 37 Niskin Bottles 29 51 45 39 The major concern was that losses would occur through the tygon tubing, and these results show that there is no consistent loss. The small differences in the numbers can be attributed to turbulence during pumping and the timing differences (the samples through the tygon tubes take around one minute, but Niskin samples are taken instantaneously). The numbers are similar enough to assume that the PVC pipe apparatus results in water samples that are comparable to the samples taken with Niskin Bottles. 4. Hydraulic Model of Supply Canal Flow In order to create a sediment transport model in the supply canal that fully captures the effects of resuspension, it is necessary to determine the shear stress as a function of flow rate. This The critical shear information can be used to help determine the critical shear stress (rr,). stress is defined as the threshold shear stress at which sediment material begins to be transported from the bottom and sides of the canal. To determine the critical shear stress, a hydraulic model must be generated to characterize the flow in the supply canal. To find r,,j,, it is necessary to combine the critical flow rate (determined empirically from the TSS data) with estimates of the shear stresses for different flow rates within the canal. The shear stress corresponding to the critical flow rate will be an approximation of the critical shear stress. 4.1 Deriving the Equationfor Shear Stress To calculate the shear stresses for varying flow rates, an estimate of the velocity throughout the length of the supply canal is needed. There are several methods of calculating the velocity in an open channel, but Manning's equation (4.1) is the most widely accepted [7, p 653-656]. v= n R2/3S1/2 (4.1) where n is Manning's n coefficient, R is the hydraulic radius (defined as the cross-sectional area/wetted perimeter), and Sfis the slope of the energy grade line. The energy grade line is a schematical representation of the total energy in the canal in the longitudinal direction. As the flow continues towards the pumps, the total energy decreases due to friction (this must also be true since flow goes from high energy to lower energy). The resulting difference in energy can be thought of as creating a slope of energy which is represented by Sf Manning's equation can be solved for Sf and this result can be introduced into the equation for shear stress (-) in an open channel. = pgRSf (4.2) which is derived from a force balance on a parcel of water in an open channel [7]. Combining equation (4.1) and (4.2) results in an expression for the shear stress in terms of the velocity in the canal and Manning's n. Since the flow rate within the canal is controlled by the pumping flow rate, it is more desirable to have (4.2) in terms of flow rate (Q) instead of velocity (v). Applying the Continuity equation, (4.3), generates the desired expression for shear stress (4.4). Q = vA pgn 2Q2 SR '/3A 2 (4.3) (4.4) The only unknown or directly immeasurable parameters in (4.4) are the shear stress (what is trying to be determined) and Manning's n. As a consequence, an estimate of Manning's n must be obtained for the supply canal in order to determine shear stress values as a function of flow rate. 4.2 Estimation of Manning'sn in the Supply Canal In order to achieve an estimate of Manning's n in the supply canal, an analysis of the backwater curve generated in the canal during pumping must be performed. A backwater curve expresses the depth of the canal over its length. Assuming the canal has a horizontal bottom as designed [11], the only way to drive flow in the canal is to have differential depths at each end of the canal. The difference in depth, or head gradient, is what the backwater curve schematically represents. When the pumps are turned on at the end of the supply canal, there is a decrease in head directly in front of the pumps which pulls flow from the West Palm Beach canal (see Figure 2-3). From Figure 2-3, it can easily be seen that when the pumps are operational, the water depth (h) becomes a function of the longitudinal distance (x) in the canal. The backwater curve can also be expressed as an equation. [7, p 651-652] dh - So -S So(4.5) dx 1- Fr 2 where So is the slope of the canal bottom and Fr is the Froude number. The Froude number is a measure of the inertial force on an element of fluid to its weight [7, p 413-414]. As stated earlier, the canal was designed with a horizontal bottom which means that So is equal to 0. If expressions for the slope of the Energy Grade Line obtained from (4.2) and (4.4): S- and the Froude Number: n2 Q2 R4 13 A2 (4.6) Q2b gA3 Fr 2 (4.7) are inserted into the backwater curve equation (4.5), then it can be rewritten as: n2Q - dh dx 2 A 10/3/P4/3 Q2 /g A 3/b 1- In (4.8), the area (A), wetted perimeter (P), and surface width (b) are all functions of depth (h). New variables can then be defined as ratios of these parameters. _- dh ddx where: K - A 0/ 3 P4/3 and Z = 1- 2 Q2 K Q2 /g (4.9) A3 bS Since K and Z are both functions of h, and the limits of h in the canal are known during normal pumping regimes, then a range of values can be determined for both K and Z. During pump testing, the depth in the canal varied from roughly 6 to 10 feet (or from 1.83m to 3.05m). These limits of h can be used to establish ranges of A, P, and b, and subsequently obtain ranges of Z and K. If the limits of log Z and log K versus log h (with some intermediate values) are plotted and a linear regression run on the points, a best fit estimate of both the K and Z values can be generated. Neither log K nor log Z is a linear function of log h, but if the range of these parameters is narrowed enough, a linear regression can produce a good approximation. The regressions will be of the form: log K = N -log h + a (4.10) where N = the slope of the regression and a is the y-intercept. Similarly: logZ = M.log h + b (4.11) where M is the slope of the regression and b is the y-intercept. Solving for K and Z yield: K= hN .10a (4.12) Z=hM o10b (4.13) Now if new constants Ko and Zo are defined, K and Z can be rewritten in terms of them as: K = K. hN Z = Zo hM where K. = 10" Zo = 10b where (4.14) (4.15) Introducing (4.14) and (4.15) into (4.9) yields a modified backwater curve equation. 2 _ n Q2 dh dx- dx K o -h N Q22 g (4.16) 1 Q /g M Z o .h Rearranging (4.16), separating the differentials, and integrating yields the desired expression for Manning's n (4.17): n (x-x K 2)Q 2 h N+1 Q2/g QZ hN-M+1 N-M+ ]h h (4.17) where x, and x2 are the locations of stations 2 and 5 respectively. Thus, (x, - x2) is equal to the distance between the two stations or the length of the supply canal. In (4.17) all the parameters on the right hand side of the equation are either known, measurable, or generated from the log-log fit. This means that (4.17) can be solved to give estimates of Manning's n for varying flow rates. 4.2.1 Modeling the Equation to Obtain an Estimate for Manning's n Once a steady state during pumping has been achieved in the canal (where steady state is defined as occurring when the flow rate in and out of the supply canal are equal at a given point in time), an estimate of Manning's n can be obtained from (4.17) if the stage (canal depth) measurements are simultaneously taken at the ends of the canal. These measurements are the limits of the inte- gral (h2 and hi). Furthermore, the pumping rate (Q) and the length of the canal (x, - X2) are both known. The expressions for N, M, Ko, and Zo can be evaluated from the log-log fit (see equations 4.10 through 4.15). Therefore, there is only one unknown (Manning's n) left in (4.17). Solving this equation with various flow rates (and consequently different h values) yields several estimates of n. However, n should be independent of the flow rate, because n is a property of the canal. Therefore, the uniform value of Manning's n can be calculated to be the arithmetic mean of the Manning's n estimates for varying flow rates. If the estimates of Manning's n are all relatively close, it can be reasoned that the modeling done to obtain the values of N, M, Ko, and Zo are adequate. If the Manning's n values are not precise, then perhaps the cross sectional area of the canal assumed to create N, M, K0 , and Zo in equations (4.10) through (4.15) is invalid. To rectify this precision problem, modifying the cross-sectional geometry of the canal to a more accurate depiction of reality can lead to improved estimates of these parameters which can be inserted back into (4.17). The process can be repeated until the Manning's n values for varying flow rates are all reasonably close. 4.2.2 Results of the Modeling In order to acquire estimates of the parameters N, M, Ko, and Z0 , a trapezoidal cross-sectional geometry of the supply canal was assumed (see Figure 2-2). This cross-section was obtained from the design specifications of the canal [10]. The canal bottom was constructed to be 28 feet wide and have 45 degree sloping sides. It was noticed with bathymetric readings taken at various places throughout the canal that this cross-sectional shape was not maintained uniformly throughout the length of the canal. The cause for this change in shape is probably due to erosion, deposition, and/or imprecision in construction specifications. However, the bathymetric readings still seemed to indicate that the trapezoidal design shape would be a good assumption for the cross-sectional area throughout the length of the supply canal (see Figure 3-4). Therefore, the design specifications were utilized and the model produced estimates of N, M, Ko, and Zo as listed in Table 4-1 below. Table 4-1: Estimates from the Log-Log Fit N (m4) 3.47 M (m4) 3.30 K, (m') 67.7 Z, (m') 76.0 A plot of log K and log Z versus log h is shown in Figure 5-1. From the plot it is evident that the fit of the curves is excellent. There is a near perfect linear fit of the data for both log Z and log K over the range of depths analyzed. This generates extreme robustness in the estimates of N, M, Ko , and Zo . Indeed, the R2 (or goodness of fit) of the plot is 0.99 for both log K and log Z. Other cross sections taken from the bathymetric readings were introduced into the log-log fit for completeness. In general, these cross sections also produced excellent fits, but the R2 values were a little lower illustrating that the assumption of the design trapezoidal cross section of the supply canal was well represented by the use of the power laws. 3.7 3.5 3.3 3.1 2.9 2.7 2.5 0.25 0.3 0.4 0.35 0.45 0.5 log h Slog K(h) log Z(h) Figure 4-1: log K and log Z vs log h With the above estimates of N, M, Ko , and Zo, it is now possible to estimate Manning's n. Introducing the above estimates into (4.17) for varying flow rates generated the Manning's n values below in Table 4-2: Table 4-2: Manning's n Estimates for Varying Flow Rates Q (ft3 /s) h, (m) h2 (m) n (s/m /3 ) 200 2.68 2.65 300 2.94 2.88 400 2.52 2.38 0.024 0.026 0.022 500 2.43 2.18 0.020 Notice that the error/uncertainty associated with Manning's n values is on the order of 13% which is quite acceptable. Averaging the above estimates yields a Manning's n coefficient of 0.023. This value of Manning's n seems reasonable when considering the composition of the supply canal. The canal is perfectly straight, has only grass for primary bank vegetation, and is devoid of many obstacles (such as tree stumps, large rocks, etc.) all of these characteristics would suggest a lower frictional factor and consequently smaller Manning's n value. Table 4-3 lists several typical values of Manning's n for similar types of channels [7, p 656 ]. Table 4-3: Typical Manning's n Values for Various Excavated Earth Channels Channel Bottom n (s/m") Clean 0.022 Gravelly 0.025 Weedy 0.030 The supply canal is thought to have more of a "clean" bottom since it has neither weeds nor gravel in it's bottom sediments. Notice that the typical value illustrated in Table 4-3 is extremely close to the Manning's n values obtained in Table 4-2. This further increases the robustness and confidence of the model. Therefore, the estimate of Manning's n utilized throughout the hydraulic modeling of the supply canal is assumed to be 0.023. 4.2.3 Alternate Cross-Sectional Areas on Manning's n Values The bathymetric readings taken at each station in the supply canal illustrated that the design cross-section has not been maintained entirely (see Figure 3-4). It appears that some deposition has occurred in the bottom of the canal while erosion has been occurring on the banks. Since the hydraulic modeling used to obtain estimates of Manning's n are heavily dependent upon the cross-section of the canal, it becomes necessary to determine the best representative cross-section to use in the model. This section analyzes this concern in greater detail. In modeling for Manning's n, the original trapezoidal design cross-section of the canal was initially assumed - 28 foot base with 45 degree sloped sides. However, Figure 3-4 illustrates that perhaps alternative cross-sections might be a better representation of current conditions. From analyzing Figure 3-4, two new cross-sections were generated for comparison with the design. A second trapezoidal cross-section was assumed with a 10 foot base and 30 degree sloped sides. This cross-section seemed to do a better job in fitting the bathymetric data than the design. A third cross-section was generated by averaging the bathymetric readings at each of the three stations. For example, if the depths measured 20 feet away from the eastern bank were 7, 8.5, and 7.3 feet for stations 2, 3, and 4 respectively; then the representative cross-sectional depth at this distance from the bank would be 7.6 feet. This value would be used in conjunction with the other average depths found at different distances from the bank to yield an average cross-section. Note that this cross-section requires hand calculating the area, wetted perimeter, and surface width for varying depths since it is non-uniform in the lateral direction. The results of modeling these two additional cross-sections are included with the design crosssection in Table 4-4. Table 4-4: Alternate Cross Sectional Areas on Manning's n Values design n for 200 cfs (s/m3) n for 300 cfs (s/m) n for 400 cfs (s/mrn) n for 500 cfs (s/m") average n (s/m l 3) R2 log K R2 log Z 0.024 0.026 0.022 0.020 0.023 0.9999 0.9999 bathymetric trapezoidal fit 0.029 0.031 0.026 0.024 0.027 0.9495 0.9999 average bathymetric fit 0.028 0.025 0.029 0.030 0.028 0.8061 0.2563 The results of the new cross-sections both yield higher estimates of Manning's n. This finding implies a higher amount of friction in the canal which impedes flow and leads to higher shear stress and critical shear stress values. The three varying cross-sections each produce different Manning's n values. As a result a justificaton of which cross-section will be used must be made. It is important to first note that the uncertainty in Manning's n values associated with each cross-section all overlap. This fact implies that the three cross-sections are all in a good range of agreement with each other. The R2 of the log-log plot for the average bathymetric fit cross-section was very poor. This increases the amount of uncertainty in the model for this cross-section in comparison to the other two geometries. Utilizing this cross-section with its associated uncertainty in the modeling was felt to be inferior to using the other two well represented cross-sections. As a result, the average bathymetric fit cross-section was not utilized. The choice between the design cross-section and the trapezoidal bathymetric fit cross-section is less clear. Both produce excellent R2 results for the log-log plot (although the design's R1 is slightly better). Since the bathymetric data was taken with an imprecise home-made instrument (a string tied to a weight), it was felt that the accuracy and precision of this data was too low to justify using the trapezoidal fit cross-section above the design. Utilizing a cross-sectional area based upon imprecise measurements was felt to be inferior to the design specifications. Furthermore, the bathymetric sampling sites at each station (distance from the bank) were also not accurately measured. Additionally, the bathymetric data seemed to indicate that the bottom of the canal was not perfectly horizontal throughout its length. Since the shape of the cross-sections derived from the bathymetric data assumes a horizontal canal bottom, these cross-sections will be skewed based upon the undulations in the bottom surface. Therefore, it is inappropriate to utilize multiple cross-sections from different stations in the canal when they are not based from a consistent elevational datum. This problem also cannot be corrected for since insufficient cross-sectional data was collected throughout the canal to propose an alternative bottom variation. As a consequence, the results obtained from the design cross-sectional area are the ones utilized throughout this model. Hence, a Manning's n value of 0.023 is assumed. 4.3 Determining Shear Stresses with the Estimate of n Now that an estimate of Manning's n has been obtained, an estimate of the shear stress in the supply canal can be calculated from (4.4) for each flow rate. The shear stress can be calculated for particular flow rates (Q) utilizing the measured water depths to evaluate R and A in conjunction with the estimate of n. However, the shear stress along the canal varies with different values of R and A which depend on the water depth. Therefore, the shear stress should increase as one approaches the pumps because the water depth here decreases which subsequently lowers R and A. However, accounting for a variable shear stress through the length of the canal is very problematic. Furthermore, the differences in the shear stress from the beginning to the end of the canal is thought to be insignificant. As a result of this assumption, a uniform shear stress will be calculated for each pumping rate and a verification will be made of the uniformity assumption. The method utilized here for determining the uniform shear stress (t,) will be to introduce R and A corresponding to the water depths at the beginning and end of the canal (found in Table 4-2) into (4.4) which creates a lower limit (tmi,) and an upper limit (Tm) respecitively, on the shear stress. The values of tmin and cmax will then be averaged to yield the approximate uniform shear stress through the length of the canal (TO). Table 4-5 lists the values of tmin and tmax obtained from (4.4). It also lists the uniform shear stress and the variability in the shear stress calculation due to the uncertainty in water depth (Ath). Where: Arh = (4.18) ax -min 2 Table 4-5 further reports the friction velocity (u.) along the perimeter of the canal. (4.19) u = Table 4-5: Shear Stress Estimates for Varying Flow Rates Q (fte/s) Iti, (Pa) Tm, (Pa) To (Pa) A-rh (Pa) u. (m/s) 1 200 0.137 0.142 0.139 0.002 0.012 300 0.237 0.252 0.244 0.008 0.016 400 0.647 0.763 0.705 0.058 0.027 500 1.13 1.51 1.32 0.193 0.036 Notice that unlike Manning's n, the shear stress does indeed increase with higher flow rates as expected. The uncertainty associated with the shear stress calculations above depends primarily on two factors. The first is the estimation of Manning's n while the second is due to the uniformity assumption of the shear stress through the length of the canal. Since the uncertainty associated with the Manning's n estimation was near 13%, the uncertainty in the shear stress calculations due to uncertainty in n is 26% (since z is a function of n2). The uncertainty of the shear stress due to the uniformity assumption can be represented by h This ratio increases rapidly with flow rate. This is expected since as flow rates increase, the difference in water depth must also increase which will cause greater variability in Arh. This ratio ranges from 1.7% for 200 cfs to 14.5% for 500 cfs. Since this uncertainty is far less than the 26% uncertainty associated with Manning's n, it can be concluded that the assumption of a uniform shear stress through the length of the canal is valid. 4.4 Determining the Critical Shear Stress As has been previously mentioned, the critical shear stress is the calculated shear stress value that corresponds to the critical flow rate. The critical flow rate is the pumping rate at which transport of sediment particles begins in the supply canal (or the flow rate at which the TSS at station 5 is greater than that at station 2). Analyzing the TSS data, it is apparent that the critical flow rate in the supply canal corresponds to a pumping value less than 200 cfs since the TSS concentrations increase slightly throughout the canal at this flow rate. Since a formal pump test was not done for 100 cfs and only minimal data existed, it becomes difficult to empirically determine the critical flow rate. However, the critical flow rate can be determined from a linear regression made on a plot of the mass flux values seen at all stations versus the flow rate squared (this relationship follows from combining (6.2), and (4.4)). The results of the regression are shown in Figure 4-2. 0.00005 y= 2E-10x - 6E-06 R2 =0 864 0.00004 0.00003 0.00002 0.00001 0 50000 100000 150000 200000 250 00 -0.00001 Flow Rate, Squared (ft6/s 2 ) Figure 4-2: Regression to Determine the Critical Flow Rate In Figure 4-2, the critical flow rate corresponds to the point where the regression crosses the zero mass flux axis (no resuspension occurs in the canal). The results of the regression illustrate that the critical flow rate is approximately 173 ft3/s. The regression also has a good R2 value increasing the confidence in the critical flow rate value. It should also be noted that the mass flux values for the 300 cfs data were omitted from the regression. This exclusion was done because the 300 cfs pump test did not start from static pumping conditions. Since the pumps had been operational before the start of this pump test, much of the resuspended material had already been stripped from the canal sides and bottom. This effect would result in lower mass flux values seen for this pump test which would skew the results of the regression and promote an inaccurate critical flow rate. In order to evaluate the critical shear stress, an estimate of the average water depth must be obtained. Since there was no pump test performed at 173 cfs, there were no corresponding stage measurements. As a result the average depth used here was the mean of the average depths measured for all the other pump tests. Converting the critical flow rate into m3/s and inserting it into (4.4) with the average depth estimate (h = 2.55 m) yields the critical shear stress in the supply canal of approximately 0.118 Pascals. cricW = 0.12 Pascals (4.20) This value is utilized as the critical shear in the supply canal throughout the rest of the report. 5. Sediment Characteristics In order to create a sediment transport model, it is useful to know not only the hydraulic characteristics of the system but also the characteristics of the sediments. To do this, two sets of experiments were performed. The first set of experiments were carried out on the TSS in the canal and were used to calculate the settling velocity of the suspended sediment after pumping at different rates. Determination of the settling velocity was necessary to establish if the suspended material stratified in the canal during pumping, which influences how the sediment transport model is developed. These experiments were also used to establish the typical grain sizes that were suspended during pumping. The second set of experiments were carried out on the canal sediments to obtain grain size distributions. This experiment was necessary to establish the type of sediments that may be available for transportation. It is also useful in estimating the amount of cohesive and cohesionless sediments, both of which have different transport characteristics. 5.1 Settling Velocity The settling velocity tests performed in the canal consisted of taking water samples at different depths and time after pumping had stopped. The tests were carried out after pumping rates of 300 and 500 cfs to see the change in TSS with time. The tests were done at stations 4 and 5 because of the higher suspended solids available here as shown in Figure 3-1. This is because there is more material to be picked up from the bottom at these locations. Additionally, station 4 was the deepest, allowing measurements across a greater depth than available for the other sites. 10 - - 8 3.5 hrs after pumping -- w-2.0 hrs after pumping 6- --- 1.0 hrs after pumping 4- --- 0.5 hrs after pumping --- During Pumping 2 0 5 10 TSS (mg/l) Figure 5-1: TSS Concentrations at Different Depths as a Function of Time after Pumping Stopped for Settling Velocity Tests at 300 cfs (Station 4) 98 7 6 -+- 5 -U-2.0 hrs after pumping -- 4- A --- 3 3.5 hrs after pumping 1.0 hrs after pumping 0.5 hrs after pumping -+-- During pumping 2 1 0 10 20 30 40 50 TSS (mg/l) Figure 5-2: TSS Concentrations at Different Depths as a Function of Time after Pumping Stopped for Settling Velocity Tests at 500 cfs (Station 4) From Figures 5-1 and 5-2 it can be seen that there is a slight trend showing a decrease in TSS with height above bottom. However, there is no defined stratification and therefore the assumption is made that the concentration of TSS is constant with depth throughout the canal. The TSS concentrations obtained during pumping are also given for comparison. Applying the principle of conservation of mass on a unit column of water, the rate of change of mass is equal to the mass flux that settles out per unit area. d -(C dt h) = -w, C (5.1) Where: wf = Settling velocity Cav = Average concentration of TSS over depth of canal h = Depth of canal This equation can be solved to give: Ca = Coe(wfh)i (5.2) Where Co = Depth Averaged Concentration at time t =0 (when pumps shut off). This can also be rewritten as: or In Ca = ln Co - (w / h)t (5.3) LogCav = LogCo - (wf / 2.3h)t (5.4) Equation (5.4) is a straight line of the form y = a + bt. By plotting Log Cav against time (illustrated in Figure 5-3 for 300 cfs), we can estimate the fall velocity wf from the slope of the line (where b = - w 2.3h). 0 0.5 1 1.5 2 Time (hr) 2.5 3 3.5 Figure 5-3: Settling Velocity Test for 300 cfs at Station 4 Performing a linear regression on the above plot yields a slope (b) of -0.0486. The depth of water for this station was 10 ft. For this example, the settling velocity wf is approximately 1.12 ft/hr. Similar analyses were carried out on the other tests and the results are given in Table 5-1 (see Appendix B.2.4 for details on calculations). Table 5-1: Settling Velocities (ft/hr) for Different Flow Rates Station 4 5 300 cfs 1.12 0.50 500 cfs 2.22 1.97 Although Table 5-1 gives a regression for the four points, it is also possible to apply the same process in calculating velocities between adjacent data points to get a representative settling velocity variation with time after pumping stopped, which is illustrated in Figure 5-4 for the 300 cfs test at station 4. 1.4 1.2 1.0 0.8 0.6 0.4 0.2 0.0 i Time (hr) Figure 5-4: Settling Velocity Test at 300cfs for Station 4 Since the settling velocity is dependent on the mass of the particles, it would be expected that the larger particles would settle out faster than the smaller and lighter particles. Hence, there would be a drop in settling velocity with time as is clearly illustrated by Figure 5-4. The settling velocities computed from Figure 5-4 are given in Table 5-2 along with similar results obtained from other tests (presented in Appendix B.5). These results are based on a water depth of 1Oft at station 4 and 7 ft at station 5. Table 5-2: Settling Velocity (ft/hr) for Stations 4 and 5 after Pumping Time Period (hrs) Average 0.5 to 1 1 to 2 2 to 3.5 300 cfs 1.12 3.03 1.48 0.38 Station 4 500 cfs 2.22 5.82 2.07 1.48 Station5 300 cfs 0.50 -1.52 0.86 0.71 500 cfs 1.97 4.49 2.58 0.90 The data indicates that there is a rapid drop in the settling velocity with time as the heavier suspended solids quickly settle out. Table 5-2 shows a settling velocity for 0.5 to 1 hr at station 5 during the 300 cfs to be negative. From the consistently positive results for the remaining data set, this might be due to experimental error. Based on the average depth of the canal (about 8 ft) and the exponential decay in suspended TSS predicted by (5.2), it is reasonable to assume that the canal achieves steady ambient TSS concentration between normal pumping events (which are separated by about 16 hours). Hence, the previous pumping schedule does not have any effect on future pumping. This assumption is necessary to create a sediment transport model that would not depend on the prior pumping rates. The TSS tests that were carried out before pumping started indicate this background TSS to be consistently in the range of 4 to 6 mg/l. The concentration of TSS at different depths is a function of the height above the bottom of the canal, the fall velocity and the shear velocity. It can be expressed as [4]: _15wfz C = Coe u (5.5) Where: z = height above bottom u. = shear velocity = /p h = depth of canal p = density of fluid z = bottom shear stress (4.19) Co = concentration at the bottom C = concentration of TSS at the given depth Thus if w/u, is much less than 1, in the above equation then the concentration C at any depth is approximately equal to Co, (i.e. there is very little stratification occurring within the canal and therefore it can be assumed to have a uniformly distributed concentration of TSS). From the values oft and u. calculated earlier (Table 4-4) and wf (Table 5-2), the values for the coefficient of Co can be determined as given in Tables 5-3 and 5-4. Table 5-3: Values of C/Co for 500 cfs at Station 4 Time (hrs) 0.5 to 1 1 to 2 2 to 3.5 wf (ft/hr) 5.82 2.07 1.48 15*weu. 0.21 0.07 0.05 Exp(-15w/u.) 0.81 0.93 0.95 Table 5-4: Values of C/Co for 300 cfs at Station 4 Time (hrs) 0.5 to 1 1 to 2 2 to 3.5 w, (ft/hr) 3.03 1.48 0.38 15w/u. 0.24 0.12 0.03 Exp(-15wfu.) 0.79 0.89 0.97 From 5-5, the ratio of C to Co is given by exp (-15W/u,) as in Tables 5-3 and 5-4. These tables show the concentration expected at the top compared to the concentration at the bottom of the canal. From the results in Table 5-3 and the TSS data for 500 cfs (given in Appendix A), it is seen that the concentration at the bottom is usually less than twice that at the top. Equation 5.5 can also be used to estimate values of settling velocity during pumping by considering the TSS measurements taken during pumping at stations 4 and 5. Taking TSS sample measured at two different elevations, we can substitute values into (5.5). Dividing the two equations thus formed gives: (In(Ct / Cb)u*h) = (5.6) (zb - z t )15 Based on (5.6) settling velocities were calculated for different flow rates at stations 4 and 5. Since four samples were taken at each site during pumping (complete results are given in Appendix B), the settling velocities were averaged and these are given in Table 5-5. The standard deviations associated with these velocities show that there was quite a large variation in the computed velocities for each flow rate. The average velocities were used in computing the variation that might occur during pumping between the bottom and the top. Table 5-5: Average Settling Velocities and Standard Deviations for Different Flow Rates Flow Rate Average Velocity (ft/hr) Standard Deviation Exp(-15wfu*) D (mm) 500 cfs 28.06 10.92 0.37 0.05 400 cfs 12.51 6.27 0.56 0.03 300 cfs 4.66 3.54 0.69 0.02 200 cfs 3.09 1.84 0.72 0.02 * D gives the equivalentparticle diameterfor the computed settling velocity based on equation 5.10. The equivalent diameter shows that most of the particles picked up during pumping are in the silt range, which can easily be uniformly suspended due to their light weight. Table 5-5 also shows that the change in the TSS concentration between the top and the bottom is generally about a factor of two. In sediment transport modeling this variation is not a significant factor and the error introduced by averaging the TSS concentrations is quite small. Due to this and the difficulty in creating a model accounting for these stratification effects, for the purpose of this study a depth averaged value has been used for the TSS concentrations at each station. These averaged TSS values are used in creating the sediment transport model in Section 6. 5.2 Grain Size Distribution Grab samples of the sediment were obtained from the bottom of the canal and a grain size analysis was carried out on these based on the American Society of Testing and Materials Standard D 422-87 procedure (a detailed analysis is given in Appendix B). Six samples were collected along the length of the canal. Of these only three were of sufficient quantity (about 250 grams of wet sample) to be analyzed for grain size distribution. The three samples analyzed were: Sample 51: By pier at station 5 before any pumping Sample 52: By pier at station 5 after 600cfs tests Sample 62: Middle of canal between station 5 and the pumps after 600cfs tests Sample 51 Sample 52 Canal Sample 62 Pe ~Pumps Figure 5-5: Location of Sediment Sampling Sites The grain size analysis is divided into two sections: the hydrometer and the sieve analysis. The sieve analysis is usually carried out first, to get the distribution of the coarse material in the sample, which is done by passing a dry soil sample through a set of sieves of different sizes. Since there is a limit to how fine a mesh can be constructed, a hydrometer test is used to get the finer grain sizes. The hydrometer test involves suspending the soil sample in water and measuring the changes in relative density as the particles settle. Based on this change in relative density an effective grain diameter can be obtained by using the Stokes equation. The high organic content of the samples (Appendix B2.2) indicated that drying might cause alteration of the soil structure and for this reason the hydrometer tests were carried out first. After completion of the hydrometer tests, the samples were dried and a sieve analysis was performed. The tests showed a large difference between the quantity of fines (generally grain sizes below 0.6 mm, which is the lower limit of sand particles [6]) measured by the sieve and the hydrometer tests. The coarser sieves collected a lot of clumps of soil material. The clumps when analyzed showed unusually high organic content (Appendix B.2.2), indicating the drying process had joined some of the fines with the organics. To improve on this, the soil samples were soaked for 24 hours and then washed on a #270 sieve (53 jpm) to remove the organic content. The sample was re-dried and a new sieve analysis was performed to obtain better results. A grain size distribution curve obtained from a combined sieve and hydrometer analysis is shown in Figure 56. 100 90 80 70 60 50 40 30 20 10 0 0.0001 0.0010 0.0100 0.1000 1.0000 10.0000 Grain Size (mm) --- Sieve Analysis -e- Hydrometer Figure 5-6: Grain Size Distribution Curve for Sample 51 There is still a small difference between the results obtained by the hydrometer and the sieve analysis. This difference may be because not all of the organic content had been removed or other clumping mechanism existed, but it is within reasonable limits. For example, at a diameter of 0.05 mm, the hydrometer shows that 34% of the sample is finer while the sieve analysis shows that 37% of the sample is finer. 5.3 Transport of Cohesionless Particles In considering the transport of sediment material, it is usually necessary to divide the sediments into cohesive and cohesionless sediments. Cohesive sediment resuspension is quite difficult to model because it depends on factors which are difficult to quantify, such as the electrostatic forces of attraction between particles and the geologic state in which they are found. Since the grain size analysis (Figure 5-6) shows there is a significant amount of coarse material, it is necessary to consider the motion of such cohesionless particles. The resuspension and transport of cohesionless particles depends primarily on their weight and can be modeled based on the Shields Parameter ' [9]. This Parameter is a ratio of the forces causing resuspension of the particle (due to shear stress acting on the particle from moving fluid) to the stabilizing forces (due to submerged weight of the particle). If the Shields Parameter exceeds a critical value then sediment motion occurs. Although this parameter has been derived empirically, it has been found to be applicable to any fluid and flow so long as the particles are cohesionless. Experiments have shown that when the Shields Parameter is plotted against the boundary Reynolds Number (a dimensionless parameter expressing the ratio of the inertial forces to the vicious forces acting on an element of fluid), there is a well defined critical value of the Shields Parameter ' above which sediment motion occurs. The Shields Parameter is given as: Y= TO (5.7) (s - 1)pgd where: ' = Shield's Parameter ,O= Bottom shear stress s = Relative density of sediment g = Acceleration due to gravity d = Diameter of the soil particle p = Density of fluid And the boundary Reynolds Number is R. - u.d V (5.8) Where v is the kinematic viscosity of the fluid. By using a modified form of the Shields curve (Figure 5-7), it is possible to relate the shear stress for initial motion of a quartz particle in water (s = 2.65), as shown in Figure 5-8. Vo 10 .3 10' 2 S d=- 5 Figure 5-7: Modified Shields Curve [13] 1.6 1.5 1.4 1.3 1.2 . -- --------- ----- ------ - --- ---- -- ---- ------- ---- - --- -- / - --- 1.1 / 0.9 20.8 0.7 , 0.6 c 0.5 0.4 0.3 0.2 0.1 0 0.0100 -- --- -- - - -I , .. ...=***I 0.1000 I 1.0000 10.0000 Diameter (mm) Figure 5-8: Shear Stress Required to Initiate Motion of a Quartz Particle in Water From Figure 5-8, it can be seen that there is a dramatic increase in the particle size that can be moved as the shear stress increases. This means that for the higher flow, large particles may be moved because of the increase in shear stress. Based on our grain size analysis (Appendix B) and the shear stress at different flow rates (given in Table 4-4), Figure 5-8 can be used to estimate the largest particle size that might be moved at different flow rates, as given in Table 56. Table 5-6: Particle Size Moved at Different Flow rates Q (cfs) r (Pa) d (mm) 200 300 400 500 0.139 0.244 0.705 1.320 0.100 0.132 1.010 1.080 Based on the grain size distribution, Table 5-4 is a useful indicator of the amount of coarse material that would be suspended or moved along the canal bottom at different flow rates. (5.5) can also be used to estimate the relative concentration of these sediments at different heights above the canal bottom and is given in section 5.4. 5.4 Comparison of Field and Laboratory Data In order to compare the field and the laboratory data, it is necessary to relate the field settling velocities to the grain size distribution. This can be done by using the Stokes equation, shown below, which relates the settling velocity of a particle in fluid to its weight and its resistance to motion in the fluid [7]. gd2 w - 18/p (P,- p) (5.9) which can be transformed to give: d= 18 w p p g(p - p) where: g = acceleration due to gravity (9.81 m/s 2) d = diameter of the particle p, = density of the particle material (assumed 2,650 kg/m' for soil particles) p = density of the fluid (1,000 Kg/m3 for water) p= dynamic viscosity ( 1.002 x 10 N.s/m 2) (5.10) which is used to plot the following figure: 100 0 0.02 0.04 0.06 0.08 0.1 Particle Diamter (mm) Figure 5-9: Equivalent Diameters from Settling Velocity Figure 5-9 shows the settling velocities encountered in the field (between 0.5 ft/hr to about 25ft/hr) relate to sediment particles with diameters less than 0.06 mm. This particle size falls in the range for silt particles (0.002 to 0.06 mm), indicating that most of the suspended material is made up of fine grained sediments. Hence, the material is quite light and can easily be mixed uniformly through out the depth of the canal by the turbulence produced by the flowing water. From Table 5-5, for pumping at 200cfs, the shear stress picks up material of about 0.1mm diameter. This is equivalent to a settling velocity of 90 ft/hr (0.8cm/s) which can be used in (5.5), to calculate the relative concentration at different heights the above bottom. Taking canal depth to be 8ft and u* from Table 4-5, we get Table 5-7. Table 5-7: Relative Concentrations of 0.1mm Diameter Particles at 200 cfs and 500 cfs Flow Rate (cfs) 200 200 200 500 500 500 u* (m/s) 0.012 0.012 0.012 0.036 0.036 0.036 height (ft) 2 4 6 2 4 6 Relative Concentration (C/C 0) 0.09 0.01 0.00 0.45 0.20 0.09 Table 5-6 shows that most of the larger particles are moved within the bottom 2 to 3 feet. Hence it may be assumed, that due to their weight, these large particles are difficult to move and can settle out easily. This is especially important as the current normal pumping regime is usually at the lower flow rates to prevent erosion of the canal sides, which would reduce the amount of large cohesionless particles flowing into the ENR. Additionally, their larger size implies a smaller surface area to volume ratio, which reduces the amount of mercury that can be sorbed onto the sediment surface. Thus, the grain size distributions indicate that about 60 percent of the sediments are coarse particles, the settling velocities show that most of the actual TSS flowing into the ENR is likely to be of finer material. To develop a sediment transport model that considers motion of fine particles, Chapter 6 looks at the changes in mass fluxes along the length of the canal at different flow rates. 6. Transport Model The purpose of the sediment transport model is to account for the mass flux of sediment in different sections of the canal over time. This model will use the experimental data collected on TSS concentrations at different locations in the canal to investigate how much sediment is resuspended over the length of the canal. The final model will be applied to past data of the ENR inflow pumping rates to calculate sediment and mercury masses that have entered the ENR since August 1994. 6.1 Governing Equation Mass flux can be determined from TSS concentration data by using (6-1). (6.1) Cout Q - CinQ = MA where: Cout = outgoing TSS concentration (kg/m3 ) 3 Cin = TSS inflow concentrations (kg/m ) Q = pumping rate (m3/s) A = wetted perimeter multiplied by segment length (m2) M = mass flux per unit area (kg/m 2s) The concentrations, pumping rates, and areas are known from the field experiments. From this information, mass flux calculations were performed for each segment of the canal. The canal segments are defined by the experimental stations (see Figure 6-1). Segment 1 is defined as the area between stations 2 and 3, segment 2 is between stations 3 and 4, and segment 3 is between stations 4 and 5. Pump House WPBC M1 2 M2 3 M3 4 0 j.O . *6 51O Figure 6-1: Mass Flux within the Canal The mass fluxes calculated from (6.1) are shown in Appendix D, and vary widely by segment and by flow rate. These changes are expected because increasing flow rate leads to increasing mass flux, and because it is expected that more sediments will be resuspended closer to the pumps. Because the mass flux values are not similar, it is difficult to draw conclusions about any trends that occur. Another method is required to compare the mass fluxes among the different flow rates. 6.2 Trends in Mass Flux The material picked up in the canal is proportional to the shear stress, as shown in (6-2) [8]. The proportionality constant (a) in (6-2) is dependent on the canal segment, but is independent of the flow rate. It provides a way to find trends among all of the different mass fluxes. M = a(r - rcr) (6-2) where: M = mass flux per unit area (kg/m 2s) r = shear stress for a given flow rate (Pa) rcr = critical shear stress (Pa) a = proportionality constant (s/m) The shear stress for each flow rate (r) and the critical shear stress (,cr) were calculated in Chapter 4, and the mass fluxes were calculated using (6-1). This equation accounts for the differences due to pumping rates by including the excess shear stress (r-er). The values for a are not a function of pumping rate, but can vary for each different segment of the canal. To find a, the mass flux (M) was graphed against the excess shear stress. A linear regression through the origin results in a line with a slope of a. One example of this process is shown in Figure 6-2, which illustrates a values for the third canal segment (closest to the pumps). The linear regression finds an a of 2x10 5-. This calculation does include the data from the 300 cfs pump test, and uses a time for those tests as the time after testing began. The TSS concentration values are lower than they would be for a test that was beginning at time zero, but the difference is not large when calculating a using these methods. 0.000025 0.00002 y = 2E-05x R2 = 0.7003 " 0.000015 E . 0.00001 2 0.000005 0 0.2 0.4 0.6 0.8 1 1.2 14 -0.000005 T-Tcr (Pa) Figure 6-2: Calculating a Values for Segment 3 This process was repeated for each segment of the canal, and the resulting values of a are listed in Table 6-1. Table 6-1: Alpha Values (s/m) by Canal Segment Alpha Segment 1 8x 10"6 Segment 2 8x 10-6 Segment 3 2x10 s TSS concentration profiles shown in Figure 3-2 show that a steady-state TSS concentration is never reached because the concentrations continue to slowly decline. Varying a over time was considered as a possibility to account for the decline in TSS resuspension over time. It was possible that instead of a constant a, a linear relationship could be established between a and time. To examine this possibility, a values were calculated for every mass flux by dividing it by the excess shear stress, according to (6-2). The values were graphed against the time when the samples were taken, and a linear regression was performed on this data (see Figure 6-3). The data for the first two segments were graphed together because the previous calculations show that the values of a are similar. 2.50E-05 y = -2E-06x + 2E-05 2.00E-05 + R 2 = 0.1772 1.50E-05 + 1.00E-05 5.00E-06 0.00E+00 0 1 2 3 4 5 6 Time (hours after pumping began) Figure 6-3: Alpha Variations over Time The linear regression in Figure 6-3 resulted in a fairly low R2 value, so this line does not accurately account for variation of a over time. To further verify that changing a over time would not produce more accurate values, the mean and standard deviation of the data for segments 1 and 2 were calculated. The mean was found to be 1.16x 10' , and the standard deviation was 5.55x10-6. Adding and subtracting a standard deviation from the mean illustrates that 68% of the data is in between 1.72x10 5- and 6.05x10-6. Looking at the best fit line, the first value is on the line for approximately time zero, and the second value is between 5 and 6 hours. A pump test that last for six hours will have a variation associated with the line that will be well approximated by the average because half of the material will be below the line, and half above. Examining the data shows that most significant tests are fairly long in duration, so an average value of a will be at least as good of an approximation as a line. Because of the low R 2 value and the small standard deviation when using a simple average, the average a values for each segment were used, and the time variation was not included. The values ofa create a way to find trends among the mass flux values. These a values for each segment were multiplied by the excess shear stress to find the average mass fluxes used in the model. These mass fluxes are shown in Figure 6-4. 20 ~ 200 cfs 15E -E I-300 cfs - -- 400cfs ---1 500 cfs S10 1 2 3 Canal Segment Figure 6-4: Mass Flux for each Canal Segment Figure 6-4 shows that the mass flux remains constant in the first two segments of the canal, but increases dramatically in the third segment. The shear stress is assumed to be constant over the length of the canal (see Chapter 4), so this increase cannot be attributed to higher shear stresses near the pumps. The increased fluxes could be because there is more material available near the pumps, or because the material there is easier to suspend. During pumping, the TSS concentrations are much higher towards the pumps because the water there contains the solids that are suspended throughout the entire length of the canal. After pumping, these solids settle to the bottom, resulting in more loose sediments that are easier to resuspend. 6.3 Model The sediment transport model is designed to estimate how much TSS is added to the water while the water travels from station 2 to station 5. The ultimate goal is to calculate the mass of sediment that enters the ENR, and then multiply this by the 150 ppb mercury concentration. The amount of sediment entering the ENR is given by the concentration at station 5 multiplied by the pumping rate and the length of time that the concentration is accurate. The concentration at station 5 is calculated by adding the amount picked up in the canal to the concentration entering the supply canal from the West Palm Beach Canal, as shown in (6.3). C5 = C2 + (Amount Resuspended in Canal) where the subscripts indicate the station numbers. (6.3) The model accounts for the amount of sediments collected between stations 2 and 5 during steady state pumping conditions. It begins with an input of TSS concentration from the WPBC, and looks at the increase in concentration from flow through each segment of the canal. The final result is a steady-state outgoing concentration at station 5 for each flow rate. This concentration is assumed to be the constant concentration during the entire pumping period, and does not account for a transient phase. In the model, the inflow concentration is assumed to be 4.8 mg/L. This value is the average inflow value during the experiments performed. It is not a function of the pumping rate, but purely reflects the concentration in the WPBC. This concentration can change for many reasons, including large rainstorms with added flow, or pumping at the nearby S5A pumping station. The S5A pumping station has a capacity to pump 8000 cfs through the WPBC, and is located downstream of the culverts into the supply canal. Movement in the WPBC would create altered TSS concentrations. However, it is not possible to account for these differences because historical data on the TSS concentration in the WPBC is not available. The concentrations at the end of the canal are easily calculated for 200 - 600 cfs using (6.1), (6.2), and previously calculated values of ca and excess shear stresses. Because 100 cfs is below the critical flow rate, no resuspension occurs. Therefore the concentration entering from the WPBC must be the concentration entering the ENR. The information necessary to find the steady-state concentration at station 5 for all flow rates is listed in Table 6-2. Table 6-2: Finding Concentrations at Station 5 Pumping C2 M 2.3 A2 .3 M 3 .4 A3 4 C4 M4- mg/L 4.8 5.6 8.1 16.1 23.3 27.7 m2 16000 16000 16000 16000 16000 16000 mg/L 4.8 6.1 9.9 22.7 33.9 40.9 kg/m 2s 0 4.2e-7 2.5e-6 1.2e-5 2.4e-5 3.6e-6 C5 m2 27000 27000 27000 27000 27000 27000 kg/m 2s 0 1.7e-7 1.1e-6 4.7e-6 9.6e-6 1.4e-5 A4s5 mg/L 4.8 4.8 4.8 4.8 4.8 4.8 kg/m 2s 0 1.7e-7 1.0e-6 4.7e-6 9.6e-6 1.4e-5 C3 cfs m2 12000 12000 12000 12000 12000 12000 mg/L 4.8 7.0 13.6 35.5 54.9 66.9 100 200 300 400 500 600 These values were compared with the experimental TSS concentration data collected to verify their validity. The calculated concentrations at station 5 listed in Table 6-2 were multiplied by the pumping rate and duration to find an estimate of sediment mass entering the ENR. To estimate the sediment loads from the experimental data, the concentration data from station 5 during the experimental pump tests was also examined. The experimental concentrations at station 5 were averaged over depth and multiplied by the time between tests and the pumping rate. The final mass entering the ENR from the experimental data and the model are compared in Table 6-3. The values were very close, which confirms that the model is an appropriate representation of the experimental data. Table 6-3: Comparison of Model Results and Experimental Data Flow Rate (cfs) Model (g of sediment) Experiments (g of sediment) 200 300 400 500 858 1870 5790 8420 816 1450 6170 7530 6.4 Historical Data The final step in model development is to apply the model to the historical pumping data supplied by the SFWMD. This data includes the starting and ending times for each pumping period. From this data, the sediment entering during each period of pumping was determined. The resulting sediment inflows are shown in Appendix D. The mercury inflows were calculated by multiplying the sediment inflow by 150 p.g/kg [2], which indicates the amount of mercury entering per kilogram of sediment. These results are shown in Figure 6-5, along with the mercury calculations performed by the SFWMD as part of the mercury mass balance study. There are differences between the two measurements, but the general patterns are similar. 350 300 250 200 150 --- Model --- SFWMD 100 0 Mar-94 Sep-94 Apr-95 Oct-95 May- Dec-96 Jun-97 Jan-98 Jul-98 96 Date Figure 6-5: Historical Mercury Profile The most striking difference in Figure 6-5 between the mercury inflow from the model and SFWMD's calculated inflow is that the model does not include some of the large spikes in SFWMD data. SFWMD takes only one data point over a two week period, and uses this mercury concentration as the average over the entire two weeks. If this sample is taken at a high flow rate, then the concentration during that two week period could be abnormally high and produce a spike in mercury inflows. One example of a large spike in SFWMD data occurs from 79.4 grams in December 1995 to 308 grams in January 1996. This spike would be a legitimate increase if more time was spent pumping, or the pumping occurred at higher pumping rates during January. If there is increased pumping, the historical pumping data would show that more time was spent pumping during January. Table 6-4 shows the differences in pumping between months. During January, there is longer pumping period for 400 cfs, but the pumping schedule overall is fairly similar to the December schedule. The pumping schedule does not account for the drastic increase in mercury concentration, so it is more likely that the January samples were taken at 400 cfs and produced an over-estimate of the mercury inflows. The model corrects for this problem, so the large spikes in mercury inflow are not present. Table 6-4: Duration of Pumping during Concentration Spike Pumping Rate (cfs) 100 200 300 400 December 1995 Monthly Duration (min) 276 2800 10,733 27,694 January 1996 Monthly Duration (min) 467 8215 3414 30,537 To further compare the SFWMD's mercury measurements to the model, yearly mercury totals were computed (Table 6-5). The years under consideration start at the beginning of ENR operation in August 1994, and the SFWMD has only completed mercury inflows for the first two years. Table 6-5: Yearly Mercury Inflows into ENR Time 1994-1995 1995-1996 1996-1997 1994-1998 (TOTAL) Model (g of Hg) 396 970 611 2060 SFWMD (g of Hg) 360 1023 Despite the differences in the time history curves in Figure 6-5, the yearly mercury inflows are very similar. This indicates that SFWMD testing methods do not produce the originally hypothesized errors. While the concentrations are often too high or too low during a given two week period, the randomness of testing means that averaging the data over longer periods of time yields fairly accurate values. The model calculates concentrations in the supply canal using an assumed inflow concentration of 4.8 mg/L. This concentration was found from averaging the inflow concentrations during the experimental period, but this does not account for any variation in WPBC TSS concentration. The next step in producing a more accurate transport model would be to quantify the inflow concentrations. This could be done by measuring TSS concentrations in the center of the supply canal during different weather and pumping conditions, and applying the new values for TSS concentration to the existing model. 7. Conclusion The mercury mass balance performed by the South Florida Water Management District raised some doubts regarding the inflow, outflow, and storage of mercury. The inflow concentrations are only measured once every two weeks, and averaged over the entire time period. The inaccuracies in measuring the inflow of mercury could create major problems with the mercury mass balance. However, the results of this study show that the original estimates were more accurate than previously thought. The mass of mercury entering the ENR during the first two years was found to be very close to the SFWMD estimates. A time history shows that the inflows during any one month were often different, but the averages over a year were very similar. This similarity indicates that the unpredictable testing performed by the SFWMD was random, and produced good results when averaged over longer periods of time. To correct the errors in the current mass balance, other methods need to be employed. The storage factor needs to be examined, and this could be the problem that creates an imbalance. If the storage factor is found to be accurate, then there are several experiments that could improve the existing model. A study of the concentration in the West Palm Beach Canal would be a logical next step. The factor relating sediments to mercury concentration of 150 ppb has been taken in this study as given input, and slight changes in this figure could produce large changes in the computed mercury inflow. Finally, collecting additional TSS concentration data would allow the concentration decrease over time to be fully characterized. However, without further studies, this model is a very good estimation of the mercury inflows. 8. References 1. American Society of Testing and Materials, Annual Book ofASTM Standards, Vol. 4, 1990. 2. Fink, Larry. Personal Communication. 3. Fink, Larry. Request for Proposal: Uncertainty Reduction in the Mercury Mass Budget for the ENR Project Modeling Sediment Transport Pulses Through the Inflow Pump Station. 1997. 4. Fischer, H.B., List, E.J., Koh, R.C.Y., Imberger, J. and Brooks, N.H., Mixing in Inlandand Coastal Waters, 1979, Academic Press Inc., London. 5. Guardo, M., and Pellegrino, R. ENR Project Supply Canal Hydraulic Analysis. 1996. 6. Lambe, W.T., Soil Testingfor Engineers, 1951, John Wiley & Sons, Inc., New York. 7. Munson B., Young D., and Okiishi T. FundamentalsofFluid Mechanics. & Sons, Inc., New York. 2 nd Ed. John Wiley 8. Parchure, T., and Mehta, A. Erosion of Soft Cohesive Sediment Deposits. Journal of Hydraulic Engineering, ASCE, 1985, 111(10): 1308 - 1326. 9. Raudkivi, A.J., Loose Boundary Hydraulics,2 nd Edition, 1976, Pergamon Press, Inc., New York. 10. Schattner, B. (P.E.). "Everglades Nutrient Removal Project Supply Canal Contract Drawings." Burns & McDonnell Company. March 1991. 11. South Florida Water Management District. Everglades Nutrient Removal Project 1995 Monitoring Report. http://www.floridaplants.com/horticulture/introduc.htm 12. South Florida Water Management District. http://www.eng.flu.edu/evrglads/engineer/enr.htm 13. Madsen, O.S., 1.67 Sediment Transport and CoastalProcessesLecture Notes, 1976, Massachusetts Institute of Technology, Massachusetts. 9. Appendices Appendix A: Experimental Data A.1 TSS Concentration Data The data from the TSS tests is listed in the following charts. Each chart lists the data from one pumping (or settling) test. These charts contain sections of the results from Harbor Branch Environmental Lab. The labeling system for the charts is explained below: Field Number: number assigned to each experimental sample. The first number is the station number, the second is the level (0 = bottom, 1 = 3.0 feet, etc.), the third is the pumping rate (1 = 100 cfs, 2 = 200 cfs, etc.) and the fourth is the sampling number. Data at 100 cfs has no fourth number (sampling number) because only one series of tests was taken. In some tests, the second number (level) is "N", which indicates that this is a Niskin bottle sample. Sampling Date: date sample was taken. Sampling Time: time on a 24 hour clock. Parameter: test performed on samples. Method Name: standard used to analyze samples. TSS Concentration: concentration as analyzed. Units: TSS units. Figure A-1: TSS Concentrations for 100 cfs Pumping Test Parameter Method Name TSS Cone. Units TSS EPA 160.2 2.4 mg/L 1350 TSS EPA 160.2 4.2 mg/L 1135 1205 1125 TSS TSS TSS EPA 160.2 3.6 mg/L 3.6 mg/L 3.6 mg/L 1/15/98 1435 TSS EPA 160.2 EPA 160.2 EPA 160.2 6.8 mg/L 1/15/98 1231 TSS EPA 160.2 3.6 mg/L 1231 TSS EPA 160.2 4 mg/L 1/15/98 1440 TSS EPA 160.2 4.2 mg/L 411 1/15/98 1300 TSS EPA 160.2 7.8 mg/L 421 431 441 451 1/15/98 1/15/98 1/15/98 1/15/98 1300 1240 1240 1240 TSS TSS TSS TSS 160.2 160.2 160.2 6 6 4.4 mg/L mg/L mg/L 511 1/15/98 1400 TSS EPA EPA EPA EPA EPA 160.2 160.2 5 4.4 mg/L mg/L 521 1/15/98 1400 TSS EPA 160.2 4.8 mg/L 531 1/15/98 1400 TSS EPA 160.2 4.2 mg/L Field Number Sampling Date 101 1/15/98 211 1/15/98 221 231 241 1/15/98 1/15/98 1/15/98 311 321 331 1/15/98 341 Sampling Time Figure A-2: TSS Concentrations for 200 cfs Pumping Test Field Number Sampling Date Sampling Time Parameter Method Name TSS Conc. Units IN20 1/21/98 1000 TSS EPA 160.2 2.8 mg/L IN21 1/21/98 1130 TSS EPA 160.2 3.6 mg/L IN22 1/21/98 1300 TSS IN23 1/21/98 1430 TSS IN24 2120 1/21/98 1/21/98 mg/L mg/L mg/L 1/21/98 TSS TSS TSS 4 4.6 3.2 2121 1600 1000 1130 EPA 160.2 EPA 160.2 EPA 160.2 EPA 160.2 EPA 160.2 3.4 4 mg/L mg/L 2122 1/21/98 1300 TSS 5.2 mg/L 2123 1/21/98 1430 TSS EPA 160.2 EPA 160.2 3.4 mg/L 2124 1/21/98 1600 TSS EPA 160.2 3.8 mg/L 2220 1/21/98 1000 TSS EPA 160.2 3.2 mg/L 2221 1/21/98 1130 TSS EPA 160.2 6.4 mg/L 2222 1/21/98 1300 2223 2224 2320 2321 1/21/98 1/21/98 1/21/98 1/21/98 1430 1600 1000 1130 TSS TSS TSS TSS TSS EPA EPA EPA EPA 160.2 160.2 160.2 160.2 4.6 4.2 4 2.4 mg/L mg/L mg/L mg/L EPA 160.2 3.8 mg/L 2322 2323 1/21/98 1/21/98 1300 1430 TSS EPA 160.2 3.8 mg/L TSS EPA 160.2 4.2 mg/L 2324 1/21/98 1600 TSS EPA 160.2 4 mg/L 2420 1/21/98 1000 TSS EPA 160.2 4 mg/L 2421 1/21/98 1130 TSS EPA 160.2 4 mg/L 2422 1/21/98 1300 2423 1/21/98 2424 1/21/98 1430 1600 TSS TSS TSS EPA 160.2 EPA 160.2 EPA 160.2 5 3.4 3.4 mg/L mg/L mg/L 3120 1/21/98 959 3121 3122 1/21/98 1/21/98 1100 1230 TSS TSS TSS EPA 160.2 EPA 160.2 3.2 8.2 mg/L mg/L EPA 160.2 6 mg/L 3123 1/21/98 1400 TSS EPA 160.2 5 mg/L 3124 1/21/98 1530 TSS EPA 160.2 5 mg/L 3220 3221 3222 1/21/98 1/21/98 1/21/98 955 1100 1230 TSS TSS TSS EPA 160.2 EPA 160.2 EPA 160.2 3.2 7.4 6.6 mg/L mg/L mg/L 3223 1/21/98 1400 TSS EPA 160.2 7 mg/L 3224 1/21/98 1530 TSS EPA 160.2 4 mg/L 3320 1/21/98 950 TSS EPA 160.2 3.8 mg/L 3321 1/21/98 1100 TSS EPA 160.2 6.8 mg/L 3322 1/21/98 1230 TSS EPA 160.2 5.2 mg/L 160.2 160.2 160.2 160.2 4.4 5.4 3.4 7 mg/L 160.2 160.2 160.2 6.2 4.8 9 mg/L mg/L mg/L EPA 160.2 2.8 mg/L EPA 160.2 160.2 160.2 160.2 7.2 mg/L 8 5.6 5.2 mg/L mg/L mg/L 160.2 160.2 2.8 7.2 mg/L mg/L 160.2 6.6 mg/L TSS EPA 160.2 5.4 mg/L 1545 TSS EPA 160.2 4.4 mg/L 1/21/98 1/21/98 945 1111 TSS TSS EPA 160.2 1.8 mg/L EPA 160.2 6 mg/L 4322 1/21/98 1240 TSS EPA 160.2 5.4 mg/L 4323 4324 1/21/98 1/21/98 1411 1540 TSS 4.8 mg/L 4420 1/21/98 940 TSS TSS EPA 160.2 EPA 160.2 EPA 160.2 4 2.8 mg/L mg/L 4421 1/21/98 1106 TSS EPA 160.2 5.6 mg/L 4422 1/21/98 1236 TSS EPA 160.2 5.2 mg/L 4423 4424 1/21/98 1/21/98 1406 1535 TSS EPA 160.2 4.2 mg/L TSS EPA 160.2 4.6 mg/L 4520 1/21/98 930 TSS EPA 160.2 3.4 mg/L 4521 4522 4523 4524 1/21/98 1/21/98 1/21/98 1/21/98 1100 1230 1400 1530 TSS TSS TSS TSS EPA EPA EPA EPA 160.2 160.2 160.2 160.2 2.2 2.4 1.8 3.8 mg/L mg/L mg/L mg/L 5220 1/21/98 950 TSS EPA 160.2 3.2 mg/L 5221 1/21/98 1119 TSS EPA 160.2 5.4 mg/L 5222 1/21/98 1228 TSS EPA 160.2 7.8 mg/L 5223 1/21/98 1412 TSS EPA 160.2 6.6 mg/L 5224 1/21/98 1550 TSS EPA 160.2 6.4 mg/L 5320 1/21/98 945 TSS EPA 160.2 4.6 mg/L 5321 1/21/98 1128 TSS EPA 160.2 6 mg/L 5322 1/21/98 1213 TSS EPA 160.2 7.2 mg/L 5323 1/21/98 1406 TSS EPA 160.2 6.6 mg/L 5324 1/21/98 1557 TSS EPA 160.2 4.8 mg/L 1400 1530 945 1100 1230 TSS TSS TSS TSS TSS 1/21/98 1400 1530 TSS TSS EPA EPA EPA EPA EPA EPA EPA 4120 1/21/98 955 TSS 4121 1/21/98 1123 TSS 4122 1/21/98 1252 TSS 4123 1/21/98 1424 4124 4220 4221 4222 1/21/98 1/21/98 1/21/98 1/21/98 1550 950 1115 1246 TSS TSS TSS TSS TSS EPA EPA EPA EPA EPA EPA 4223 1/21/98 1417 4224 1/21/98 4320 4321 3323 3324 3420 1/21/98 1/21/98 1/21/98 3421 3422 1/21/98 1/21/98 3423 1/21/98 3424 mg/L mg/L mg/L 6N20 1/21/98 952 TSS EPA 160.2 1.4 mg/L 6N21 6N22 6N23 6N24 1/21/98 1/21/98 1/21/98 1/21/98 1110 1215 1403 1540 TSS TSS TSS TSS EPA EPA EPA EPA 160.2 160.2 160.2 160.2 6 8.6 8.8 6.4 mg/L mg/L mg/L mg/L Figure A-3: TSS Concentrations for 300 cfs Pumping Test Field Number Sampling Date Sampling Time Parameter Method Name TSS Conc. Units 1N31 1N32 1/16/98 1/16/98 900 1030 1N33 1N34 1/16/98 1/16/98 1200 1330 TSS TSS TSS TSS 1/16/98 900 TSS 3.9 4.8 3.7 4.2 4.5 mg/L mg/L mg/L 2131 EPA 160.2 EPA 160.2 EPA 160.2 EPA 160.2 EPA 160.2 2132 1/16/98 1030 TSS EPA 160.2 4.6 mg/L 2133 1/16/98 1200 TSS EPA 160.2 3.4 mg/L 2134 1/16/98 1330 TSS EPA 160.2 3.2 mg/L mg/L mg/L 2231 1/16/98 900 TSS EPA 160.2 4.1 mg/L 2232 1/16/98 1030 TSS EPA 160.2 4.3 mg/L 2233 2234 2331 2332 1/16/98 1/16/98 1/16/98 1/16/98 1200 1330 900 1030 TSS TSS TSS TSS EPA EPA EPA EPA 160.2 3.5 mg/L 160.2 160.2 160.2 4.2 5.6 2.9 mg/L mg/L 2333 1/16/98 1200 TSS EPA 160.2 3.9 mg/L 2334 1/16/98 1330 TSS EPA 160.2 4.8 mg/L 2431 1/16/98 900 TSS EPA 160.2 4.4 mg/L 2432 1/16/98 1030 TSS EPA 160.2 3.8 mg/L 2433 1/16/98 1200 TSS EPA 160.2 3.6 mg/L 2434 1/16/98 1330 3131 1/16/98 3132 3133 1/16/98 1/16/98 839 1004 1135 TSS TSS TSS 3.5 11 10 mg/L mg/L mg/L TSS EPA 160.2 EPA 160.2 EPA 160.2 EPA 160.2 9.4 mg/L 3134 1/16/98 1302 TSS EPA 160.2 5.6 mg/L 3231 1/16/98 844 TSS EPA 160.2 9.2 mg/L 3232 3233 1/16/98 1/16/98 TSS TSS 1/16/98 1/16/98 1/16/98 1/16/98 160.2 160.2 160.2 160.2 160.2 160.2 8 6.6 5.6 7.8 7.6 mg/L mg/L mg/L TSS EPA EPA EPA EPA EPA EPA mg/L mg/L 3234 3331 3332 3333 1008 1140 1306 850 1019 1144 6.2 mg/L 3334 1/16/98 1310 TSS EPA 160.2 5.6 mg/L 3431 1/16/98 854 TSS EPA 160.2 7.2 mg/L 3432 1/16/98 1024 TSS EPA 160.2 8 mg/L 3433 1/16/98 1149 TSS EPA 160.2 5.6 mg/L 3434 1/16/98 1314 TSS EPA 160.2 5 mg/L 4131 1/16/98 900 TSS EPA 160.2 15 mg/L 4132 1/16/98 1030 TSS EPA 160.2 12 mg/L 4133 1/16/98 1200 TSS EPA 160.2 13 mg/L TSS TSS TSS mg/L mg/L mg/L mg/L 160.2 12 13 18 10 TSS TSS EPA 160.2 EPA 160.2 7.8 12 mg/L mg/L 1017 TSS EPA 160.2 11 mg/L 1/16/98 1146 TSS EPA 160.2 10 mg/L 4432 1/16/98 1/16/98 1/16/98 1316 840 1011 TSS TSS TSS EPA 160.2 EPA 160.2 EPA 160.2 8 11 11 mg/L mg/L mg/L 4433 1/16/98 1140 TSS EPA 160.2 7.8 mg/L 4434 1/16/98 1310 4532 1/16/98 1005 TSS TSS EPA 160.2 EPA 160.2 6.4 9.8 mg/L mg/L 4533 1/16/98 1135 TSS EPA 160.2 8.6 mg/L 4534 1/16/98 1304 TSS 6 mg/L 5131 5132 5133 1/16/98 1/16/98 1/16/98 830 1000 1130 TSS TSS TSS EPA 160.2 EPA 160.2 EPA 160.2 EPA 160.2 18 13 9.6 mg/L mg/L mg/L 5134 1/16/98 1300 TSS EPA 160.2 10 mg/L 5231 1/16/98 830 TSS EPA 160.2 15 mg/L 5232 1/16/98 1000 TSS EPA 160.2 13 mg/L 5233 1/16/98 1130 TSS EPA 160.2 11 mg/L 5234 5331 5332 1/16/98 1/16/98 1/16/98 1300 830 1000 TSS TSS 8.8 mg/L TSS EPA 160.2 EPA 160.2 EPA 160.2 13 11 mg/L mg/L 5333 5334 1/16/98 1/16/98 1130 1300 TSS TSS EPA 160.2 EPA 160.2 9.2 9 mg/L mg/L 6N31 1/16/98 830 TSS EPA 160.2 17 mg/L 6N32 6N33 1/16/98 1/16/98 1000 1130 TSS TSS EPA 160.2 EPA 160.2 13 11 mg/L mg/L 6N34 1/16/98 1300 TSS EPA 160.2 9.6 mg/L 4233 1/16/98 1/16/98 1/16/98 1/16/98 1330 854 1023 1153 TSS TSS TSS TSS EPA EPA EPA EPA 4234 4331 1/16/98 1/16/98 1323 848 4332 1/16/98 4333 4334 4431 4134 4231 4232 160.2 160.2 160.2 mg/L Figure A-4: TSS Concentrations for 400 cfs Pumping Test Field Number Sampling Date Sampling Time Parameter Method Name TSS Conc. Units 1N40 IN41 1/17/98 1/17/98 900 1000 TSS TSS EPA 160.2 EPA 160.2 8 57 mg/L mg/L IN42 1/17/98 1100 TSS EPA 160.2 1N43 1/17/98 1200 TSS EPA 160.2 6.8 5.2 mg/L mg/L 1N44 2140 1/17/98 1/17/98 1300 900 TSS TSS EPA 160.2 EPA 160.2 7.6 6.2 mg/L mg/L 2141 2142 1/17/98 1/17/98 1000 1100 TSS EPA 160.2 EPA 160.2 9.4 mg/L 6.4 mg/L 2143 2144 1/17/98 1/17/98 1200 1300 TSS TSS EPA 160.2 6.8 mg/L EPA 160.2 6.4 mg/L 2240 1/17/98 900 TSS EPA 160.2 7.6 mg/L 2241 1/17/98 1000 TSS EPA 160.2 8.2 mg/L 2242 1/17/98 1100 TSS EPA 160.2 6 mg/L 2243 1/17/98 1200 TSS EPA 160.2 6.6 mg/L mg/L TSS 2244 1/17/98 1300 TSS EPA 160.2 5.4 2340 2341 1/17/98 1/17/98 900 1000 TSS TSS EPA 160.2 6 mg/L EPA 160.2 7.8 mg/L 2342 1/17/98 1100 TSS EPA 160.2 7.6 mg/L 2343 1/17/98 1200 TSS EPA 160.2 7.4 mg/L 2344 1/17/98 1300 TSS EPA 160.2 6 mg/L 2440 1/17/98 900 TSS EPA 160.2 6.8 mg/L 2442 1/17/98 1100 TSS EPA 160.2 6 mg/L 2443 1/17/98 1200 TSS EPA 160.2 6.2 mg/L 2444 1/17/98 1300 TSS EPA 160.2 5.8 mg/L 3140 3141 1/17/98 1/17/98 845 950 TSS TSS EPA 160.2 EPA 160.2 3.1 45 mg/L mg/L 3142 1/17/98 1050 TSS EPA 160.2 27 mg/L 3143 1/17/98 1150 TSS 3144 3240 1/17/98 1/17/98 1250 840 TSS TSS EPA 160.2 EPA 160.2 26 13 mg/L mg/L EPA 160.2 3.5 mg/L 3241 1/17/98 1645 TSS EPA 160.2 37 mg/L 3242 1/17/98 1045 TSS EPA 160.2 23 mg/L 3243 1/17/98 1145 TSS EPA 160.2 14 mg/L 3244 1/17/98 1245 TSS EPA 160.2 11 mg/L 3340 1/17/98 835 TSS EPA 160.2 4.8 mg/L 3341 1/17/98 940 TSS EPA 160.2 31 mg/L 3342 1/17/98 1040 TSS EPA 160.2 24 mg/L 3343 1/17/98 1140 TSS EPA 160.2 12 mg/L 3344 1/17/98 1240 TSS EPA 160.2 9.8 mg/L 3440 1/17/98 3441 3442 1/17/98 1/17/98 830 935 1030 TSS TSS TSS EPA 160.2 EPA 160.2 EPA 160.2 4 30 27 mg/L mg/L mg/L 3443 3444 4140 1/17/98 1/17/98 1/17/98 1135 1235 858 TSS TSS TSS 13 10 4.2 mg/L mg/L mg/L 4141 1/17/98 950 TSS EPA 160.2 EPA 160.2 EPA 160.2 EPA 160.2 44 mg/L 4142 1/17/98 4143 1/17/98 1053 1157 TSS TSS EPA 160.2 EPA 160.2 54 30 mg/L mg/L 4144 1/17/98 1253 TSS EPA 160.2 25 mg/L 4240 1/17/98 TSS TSS TSS TSS EPA EPA EPA EPA 4.4 36 39 19 mg/L mg/L mg/L mg/L TSS EPA 160.2 17 mg/L 5.6 mg/L 4241 4242 4243 1/17/98 1/17/98 1/17/98 850 945 1047 1136 4244 1/17/98 1247 160.2 160.2 160.2 160.2 4340 1/17/98 845 TSS EPA 160.2 4341 1/17/98 940 TSS EPA 160.2 31 mg/L 4342 1/17/98 1042 TSS EPA 160.2 29 mg/L 4343 1/17/98 1145 TSS EPA 160.2 21 mg/L 4344 4440 4441 1/17/98 1/17/98 1/17/98 1241 840 935 TSS TSS TSS EPA 160.2 EPA 160.2 EPA 160.2 14 mg/L 5.6 26 mg/L mg/L 4442 1/17/98 1035 TSS EPA 160.2 25 mg/L 4443 1/17/98 1150 TSS EPA 160.2 22 mg/L 4444 1/17/98 1235 TSS EPA 160.2 13 mg/L 4540 1/17/98 835 TSS EPA 160.2 3.8 mg/L 4541 1/17/98 930 TSS EPA 160.2 18 mg/L 4542 1/17/98 1030 TSS EPA 160.2 22 mg/L 4543 4544 1/17/98 1/17/98 5140 1/17/98 1131 1230 830 TSS TSS TSS EPA 160.2 EPA 160.2 EPA 160.2 16 12 5.4 mg/L mg/L mg/L 5141 1/17/98 930 TSS 44 mg/L 5142 1/17/98 1030 5143 1/17/98 1130 TSS TSS EPA 160.2 EPA 160.2 EPA 160.2 49 49 mg/L mg/L 5144 1/17/98 1230 TSS EPA 160.2 28 mg/L 5240 1/17/98 830 TSS EPA 160.2 6.6 mg/L 5241 1/17/98 930 TSS EPA 160.2 47 mg/L 5242 1/17/98 1030 TSS EPA 160.2 40 mg/L 5243 1/17/98 1130 TSS EPA 160.2 50 mg/L 5244 1/17/98 1230 TSS EPA 160.2 22 mg/L EPA 160.2 7.2 mg/L 5340 1/17/98 830 TSS 37 28 37 mg/L mg/L mg/L mg/L EPA 160.2 23 1.3 TSS EPA 160.2 41 mg/L 1030 TSS EPA 160.2 37 mg/L 1/17/98 1130 TSS EPA 160.2 41 mg/L 1/17/98 1230 TSS EPA 160.2 25 mg/L 5341 5342 5343 5344 6N40 1/17/98 1/17/98 1/17/98 1/17/98 1/17/98 930 1030 1130 1230 830 TSS TSS TSS TSS TSS EPA 160.2 EPA 160.2 EPA 160.2 EPA 160.2 6N41 1/17/98 930 6N42 1/17/98 6N43 6N44 mg/L Figure A-5: TSS Concentrations for 500 cfs Pumping Test Field Number Sampling Date Sampling Time Parameter Method Name TSS Conc. Units IN50 IN51 IN52 1/18/98 1/18/98 1/18/98 1100 TSS EPA 160.2 4.8 mg/L 1145 1230 TSS TSS EPA 160.2 EPA 160.2 3.8 4.8 mg/L mg/L IN53 IN54 1/18/98 1/18/98 EPA 160.2 EPA 160.2 EPA 160.2 mg/L 1/18/98 TSS TSS TSS 8.2 2150 1315 1400 1100 4.6 3.3 mg/L mg/L 2151 1/18/98 1145 TSS EPA 160.2 13 mg/L 2152 1/18/98 1230 TSS EPA 160.2 5.4 mg/L 2153 1/18/98 1315 TSS EPA 160.2 5.6 mg/L 2154 1/18/98 1400 TSS EPA 160.2 4.8 mg/L 2250 1/18/98 1100 TSS EPA 160.2 2.8 mg/L 2251 1/18/98 1145 TSS EPA 160.2 6.2 mg/L 2252 1/18/98 1230 TSS EPA 160.2 4.2 mg/L 2253 1/18/98 1315 TSS EPA 160.2 3.6 mg/L 2254 1/18/98 1400 TSS EPA 160.2 5.8 mg/L 2350 2351 1/18/98 1/18/98 1100 1145 mg/L 1/18/98 1/18/98 1230 1315 EPA 160.2 EPA 160.2 EPA 160.2 EPA 160.2 4 2352 2353 TSS TSS TSS TSS 5 3.6 mg/L mg/L 3.4 mg/L 2354 1/18/98 1400 2450 1/18/98 1100 TSS TSS EPA 160.2 EPA 160.2 5.4 5 mg/L mg/L 3150 1/18/98 1050 TSS EPA 160.2 4.4 mg/L 3151 1/18/98 1135 TSS 54 mg/L 3152 1/18/98 TSS TSS 37 19 mg/L mg/L 15 3.6 29 mg/L mg/L mg/L 3153 1/18/98 1220 1305 3154 3250 3251 1/18/98 1/18/98 1/18/98 1350 1045 1130 TSS TSS TSS EPA 160.2 EPA 160.2 EPA 160.2 EPA 160.2 EPA 160.2 EPA 160.2 3252 1/18/98 1215 TSS EPA 160.2 32 mg/L 3253 1/18/98 1300 TSS EPA 160.2 18 mg/L 3254 1/18/98 1345 TSS EPA 160.2 13 mg/L 3350 1/18/98 1040 TSS 5 mg/L 3351 1/18/98 1125 TSS EPA 160.2 EPA 160.2 21 mg/L 3352 32 mg/L 1/18/98 1210 TSS 3353 1/18/98 1255 TSS EPA 160.2 EPA 160.2 16 mg/L 3354 1/18/98 1340 TSS EPA 160.2 14 mg/L 3450 1/18/98 1035 TSS EPA 160.2 4.6 mg/L 3451 1/18/98 1120 TSS EPA 160.2 15 mg/L 3452 3453 3454 4150 1/18/98 1/18/98 1/18/98 1/18/98 1205 1250 1335 1051 TSS TSS TSS TSS EPA EPA EPA EPA 160.2 160.2 160.2 160.2 24 16 mg/L mg/L 11 5.4 mg/L mg/L 4151 1/18/98 1135 TSS EPA 160.2 65 mg/L mg/L 4152 1/18/98 1220 TSS EPA 160.2 68 4153 1/18/98 1305 TSS EPA 160.2 50 mg/L 4154 1/18/98 1345 TSS EPA 160.2 32 mg/L 4250 4251 1/18/98 1/18/98 1045 1130 TSS TSS EPA 160.2 EPA 160.2 4.4 33 mg/L mg/L 4252 1/18/98 1215 TSS 43 mg/L 4253 1/18/98 1300 TSS EPA 160.2 EPA 160.2 40 mg/L 4254 4350 1/18/98 1/18/98 1340 TSS EPA 160.2 18 mg/L 1040 TSS EPA 160.2 4.8 mg/L 4351 4352 1/18/98 1/18/98 1125 1210 TSS TSS EPA 160.2 EPA 160.2 30 mg/L 41 mg/L 4353 1/18/98 1255 TSS EPA 160.2 34 mg/L 4354 1/18/98 1335 TSS EPA 160.2 20 mg/L 4450 1/18/98 1035 TSS EPA 160.2 5.6 mg/L 4451 1/18/98 1120 TSS EPA 160.2 16 mg/L 4452 1/18/98 1205 TSS EPA 160.2 29 mg/L 4453 4454 1/18/98 1/18/98 1250 1330 TSS TSS EPA 160.2 EPA 160.2 26 15 mg/L mg/L 4550 4551 1/18/98 1/18/98 1030 1115 TSS TSS EPA 160.2 EPA 160.2 5.2 13 mg/L mg/L 5150 1/18/98 1030 TSS EPA 160.2 6.2 mg/L 5151 1/18/98 1115 TSS EPA 160.2 48 mg/L 5152 1/18/98 1200 TSS EPA 160.2 63 mg/L 5153 1/18/98 1245 TSS EPA 160.2 65 mg/L 5154 5250 5251 5252 5253 1/18/98 1/18/98 1/18/98 1/18/98 1/18/98 1330 1030 1115 1200 1245 TSS TSS TSS TSS TSS 5254 1/18/98 1330 TSS EPA EPA EPA EPA EPA EPA 160.2 160.2 160.2 160.2 160.2 160.2 47 5 36 47 50 37 mg/L mg/L mg/L mg/L mg/L mg/L 5350 1/18/98 1030 TSS EPA 160.2 4.6 mg/L 6N50 6N51 1/18/98 1/18/98 1030 1115 TSS TSS EPA 160.2 EPA 160.2 1.6 46 mg/L mg/L 6N52 1/18/98 1200 TSS EPA 160.2 47 mg/L 6N53 1/18/98 1245 TSS EPA 160.2 55 mg/L 6N54 1/18/98 1330 TSS EPA 160.2 36 mg/L Figure A-6: TSS Concentrations for 600 cfs Pumping Test Field Number Sampling Date Sampling Time Parameter Method Name TSS Conc. Units IN60 1/19/98 1140 IN61 1/19/98 1140 TSS TSS EPA 160.2 EPA 160.2 3 3.8 mg/L mg/L 2160 1/19/98 1100 TSS EPA 160.2 1.8 mg/L 2161 1/19/98 1140 TSS EPA 160.2 10 mg/L EPA 160.2 EPA 160.2 4.2 2 mg/L mg/L 2162 1/19/98 1210 TSS 2260 1/19/98 1100 TSS 2261 2262 2460 1/19/98 1/19/98 1/19/98 1140 1210 1100 TSS TSS TSS EPA 160.2 EPA 160.2 4.2 4.4 mg/L mg/L EPA 160.2 3.4 mg/L 2461 1/19/98 1140 TSS EPA 160.2 5 mg/L 3160 1/19/98 1050 TSS 3.2 mg/L 3161 3162 1/19/98 1/19/98 1120 TSS EPA 160.2 EPA 160.2 26 mg/L 1150 TSS EPA 160.2 25 mg/L 3260 1/19/98 1045 TSS EPA 160.2 4.6 mg/L 3261 1/19/98 1115 TSS mg/L 1/19/98 1145 TSS EPA 160.2 EPA 160.2 14 3262 23 mg/L 3360 1/19/98 1040 TSS EPA 160.2 3 mg/L 3361 1/19/98 1110 TSS EPA 160.2 3.8 mg/L 3362 1/19/98 1140 TSS mg/L 1/19/98 1035 TSS EPA 160.2 EPA 160.2 21 3460 3 mg/L 3461 1/19/98 1105 TSS 5 mg/L 3462 4160 4161 1/19/98 1/19/98 1/19/98 1135 1055 1127 21 6.2 mg/L 4162 1/19/98 1155 TSS TSS TSS TSS EPA 160.2 EPA 160.2 EPA 160.2 EPA 160.2 EPA 160.2 39 29 mg/L mg/L 4260 4261 1/19/98 1/19/98 1048 1121 TSS TSS EPA 160.2 EPA 160.2 5 24 mg/L mg/L 4262 4360 4361 4362 4460 1/19/98 1/19/98 1/19/98 1/19/98 1/19/98 1149 1044 1116 1144 1037 TSS TSS TSS TSS TSS 4461 1/19/98 1109 TSS EPA 160.2 EPA 160.2 EPA 160.2 EPA 160.2 EPA 160.2 EPA 160.2 4462 1/19/98 1138 TSS 4463 1/19/98 1207 4560 1/19/98 4561 4562 mg/L 21 mg/L 5.8 mg/L 18 21 6 mg/L mg/L mg/L 9.2 mg/L EPA 160.2 19 mg/L TSS EPA 160.2 23 mg/L 1033 TSS EPA 160.2 4.2 mg/L 1/19/98 1103 TSS EPA 160.2 2.8 mg/L 1/19/98 1133 TSS EPA 160.2 16 mg/L 1045 1130 TSS TSS TSS EPA 160.2 EPA 160.2 EPA 160.2 18 4.4 45 mg/L mg/L mg/L 1/19/98 1130 1045 TSS TSS EPA 160.2 EPA 160.2 36 4.4 mg/L mg/L 1/19/98 1/19/98 1100 1130 TSS TSS EPA 160.2 EPA 160.2 37 mg/L 32 mg/L mg/L mg/L 4563 1/19/98 1202 5160 1/19/98 5161 5162 1/19/98 1/19/98 5260 5261 5262 5360 5361 1/19/98 1/19/98 1045 1100 TSS TSS EPA 160.2 EPA 160.2 3.2 14 5362 1/19/98 1130 TSS EPA 160.2 30 mg/L 6N60 1/19/98 1045 TSS EPA 160.2 -1 mg/L U 6N61 1/19/98 1100 TSS EPA 160.2 35 mg/L 6N62 1/19/98 1130 TSS EPA 160.2 35 mg/L Figure A-7: Settling Tests after 300 cfs Field Number Sampling Date Sampling Time Parameter Method Name TSS Conc. Units 4105 1/16/98 1400 TSS 4106 1/16/98 1430 TSS 8 7 mg/L mg/L 4107 1/16/98 1528 4108 1/16/98 1655 TSS TSS EPA 160.2 EPA 160.2 EPA 160.2 EPA 160.2 7.2 4.8 mg/L mg/L 4205 4206 4207 1/16/98 1/16/98 1/16/98 1354 1428 1526 TSS TSS TSS EPA 160.2 EPA 160.2 EPA 160.2 7.2 6.6 mg/L mg/L 4.4 mg/L 4208 1/16/98 1651 TSS EPA 160.2 5 mg/L mg/L 4305 1/16/98 1354 TSS EPA 160.2 5.8 4306 1/16/98 1424 TSS EPA 160.2 6.6 mg/L 4307 1/16/98 1523 TSS EPA 160.2 4.4 mg/L 4308 1/16/98 1650 TSS EPA 160.2 4.8 mg/L 4405 1/16/98 1347 TSS EPA 160.2 7.2 mg/L 4406 4407 4408 1/16/98 1/16/98 1/16/98 1421 1519 1645 TSS TSS TSS EPA 160.2 EPA 160.2 EPA 160.2 5.4 4.4 mg/L mg/L 4.8 mg/L 4505 4506 1/16/98 1/16/98 1347 1418 TSS TSS EPA 160.2 EPA 160.2 6.8 3.4 mg/L mg/L 4507 1/16/98 1517 TSS EPA 160.2 4.6 mg/L 4508 1/16/98 1644 TSS EPA 160.2 4.2 mg/L 5105 1/16/98 1400 TSS EPA 160.2 7.4 mg/L 5106 5107 5108 1/16/98 1/16/98 1/16/98 1430 1530 1700 TSS TSS TSS EPA 160.2 EPA 160.2 EPA 160.2 7 7.6 mg/L mg/L 5.6 mg/L 5205 5206 5207 1/16/98 1/16/98 1/16/98 1400 1430 1530 TSS TSS TSS EPA 160.2 EPA 160.2 EPA 160.2 6.4 8 6 mg/L mg/L mg/L 5208 1/16/98 1700 TSS EPA 160.2 5.4 mg/L 5305 1/16/98 1400 TSS EPA 160.2 6.3 mg/L 5306 1/16/98 5307 5308 1/16/98 1/16/98 1430 1530 1700 TSS TSS TSS EPA 160.2 EPA 160.2 7.4 6.2 mg/L mg/L EPA 160.2 6 mg/L Figure A-8: Settling Tests after 500 cfs Field Number Sampling Date Sampling Time Parameter Method Name TSS Conc. Units 4105 4106 1/18/98 1/18/98 TSS EPA 160.2 15 mg/L 4107 1/18/98 1430 1502 1557 TSS TSS EPA 160.2 EPA 160.2 12 9.6 mg/L mg/L 4108 1/18/98 4205 1/18/98 1730 1425 TSS TSS EPA 160.2 EPA 160.2 8.2 14 mg/L mg/L 4206 4207 1/18/98 1/18/98 1502 1557 TSS TSS EPA 160.2 EPA 160.2 11 8.8 mg/L mg/L 4208 1/18/98 1730 4305 1/18/98 1420 TSS TSS EPA 160.2 EPA 160.2 7.4 12 mg/L mg/L 4306 4307 1/18/98 1/18/98 1455 1549 1/18/98 1725 EPA 160.2 EPA 160.2 EPA 160.2 9.4 8.4 5.4 mg/L 4308 TSS TSS TSS 4405 1/18/98 1415 TSS EPA 160.2 12 mg/L 4406 1/18/98 1455 TSS EPA 160.2 7.2 mg/L 4407 1/18/98 1549 TSS EPA 160.2 5.4 mg/L 4408 1/18/98 1725 TSS EPA 160.2 4.8 mg/L 5105 1/18/98 1430 TSS EPA 160.2 22 mg/L 5106 5107 5108 1/18/98 1/18/98 1/18/98 1500 1600 1730 TSS TSS TSS EPA 160.2 EPA 160.2 EPA 160.2 17 12 9 mg/L mg/L mg/L 5205 1/18/98 1430 TSS EPA 160.2 20 mg/L 5206 1/18/98 1500 TSS EPA 160.2 16 mg/L 5207 1/18/98 1600 TSS EPA 160.2 9.6 mg/L 5208 1/18/98 1730 TSS EPA 160.2 9.2 mg/L 5305 1/18/98 1430 TSS EPA 160.2 17 mg/L 5306 5307 5308 1/18/98 1/18/98 1/18/98 1500 1600 1730 TSS TSS TSS EPA 160.2 EPA 160.2 EPA 160.2 9.8 8 6.2 mg/L mg/L mg/L mg/L mg/L A.2 Stage Data During the pumping tests, the stage in the canal was measured at stations 1, 2 and 5. Measurements were performed at the times when TSS Data was collected at these stations. The SFWMD also has permanent stage gauges at these three points that monitor the stage on fifteen minute intervals. The data in Tables A-9 through A-12 show both sets of stage measurements from the four pump tests. The stages are measured in feet. Table A-9: Stage Measurements During the 200 cfs Pump Test Time 9:30 9:45 10:00 10:15 10:30 10:45 11:00 11:15 11:30 11:45 12:00 12:15 12:30 12:45 13:00 13:15 13:30 13:45 14:00 14:15 14:30 14:45 15:00 15:15 15:30 15:45 16:00 16:15 16:30 16:45 17:00 17:15 17:30 17:45 18:00 Station 1 MIT Station 2 MIT 10.92 10.8 Station 5 MIT 10.92 10.73 10.89 10.7 10.71 10.89 10.7 10.73 10.88 10.69 10.69 10.85 10.68 Station 1 SFWMD 10.9 10.9 10.91 10.92 10.92 10.89 10.86 10.87 10.88 10.88 10.88 10.88 10.88 10.88 10.88 10.88 10.89 10.89 10.89 10.89 10.88 10.88 10.87 10.86 10.86 10.86 10.85 10.85 10.88 10.91 10.91 10.89 10.89 10.9 10.89 Station 2 SFWMD 10.76 10.76 10.78 10.78 10.79 10.7 10.63 10.66 10.69 10.69 10.69 10.68 10.68 10.68 10.68 10.69 10.69 10.69 10.69 10.69 10.69 10.68 10.677 10.67 10.67 10.66 10.66 10.66 10.73 10.79 10.77 10.75 10.76 10.76 10.76 Station 5 SFWMD 10.86 10.87 10.89 10.91 10.77 10.58 10.64 10.7 10.71 10.71 10.7 10.71 10.7 10.69 10.69 10.7 10.7 10.71 10.71 10.72 10.71 10.7 10.69 10.69 10.68 10.68 10.68 10.83 11 10.92 10.82 10.89 10.93 10.85 10.85 Table A-10: Stage Measurements During the 300 cfs Pump Test Time 8:30 8:45 9:00 9:15 9:30 9:45 10:00 10:15 10:30 10:45 11:00 11:15 11:30 11:45 12:00 12:15 12:30 12:45 13:00 13:15 13:30 13:45 14:00 14:15 14:30 14:45 15:00 15:15 15:30 15:45 16:00 Station 1 MIT Station 2 MIT 11.2 11 11.4 11.2 11.5 11.3 11.65 11.38 Station 5 MIT 10.975 11.125 11.15 11.35 11.74 11.48 11.45 11.81 11.54 12.05 11.85 Station 1 SFWMD 11.26 11.28 11.3 11.31 11.39 11.44 11.49 11.53 11.55 11.6 11.64 11.65 11.66 11.69 11.73 11.73 11.73 11.74 11.76 11.77 11.79 11.8 11.87 11.92 11.92 11.93 11.96 11.97 11.99 12 12.01 Station 2 SFWMD 10.98 11 11.02 11.03 11.09 11.13 11.18 11.23 11.27 11.31 11.34 11.36 11.38 11.4 11.43 11.45 11.47 11.47 11.48 11.49 11.51 11.53 11.75 11.77 11.78 11.79 11.82 11.83 11.84 11.86 11.87 Station 5 SFWMD 10.89 10.91 10.92 10.94 10.96 11.04 11.09 11.14 11.18 11.22 11.26 11.3 11.32 11.34 11.36 11.4 11.41 11.41 11.42 11.43 11.45 11.76 11.99 11.82 11.84 11.95 11.93 11.91 11.95 Table A-11: Stage Measurements During the 400 cfs Pump Test Station 1 SFWMD 10.35 10.36 10.37 10.4 10.34 10.33 10.35 Station 2 SFWMD 10.22 10.23 10.24 10.25 9.96 9.95 9.97 Station 5 SFWMD 10.33 10.35 10.35 9.67 9.52 9.58 9.59 10:15 10.39 10.01 9.6 10:30 10.41 10.03 9.64 10:45 11:00 10.43 10.45 10.05 10.07 9.67 9.69 10.47 10.09 9.72 10.49 10.5 10.5 10.5 10.5 10.5 10.51 10.51 10.58 10.63 10.64 10.62 10.61 10.62 10.61 10.11 10.12 10.13 10.14 10.14 10.14 10.15 10.14 10.48 10.5 10.49 10.48 10.48 10.48 10.477 9.73 9.76 9.77 9.78 9.78 9.78 9.79 10.27 10.72 10.64 10.52 10.6 10.63 10.58 10.56 Time 8:30 8:45 9:00 9:15 9:30 9:45 10:00 Station 1 MIT Station 2 MIT Station 5 MIT 10.35 10.4 10.28 9.7 9.55 9.625 10.38 10.02 10.47 10.11 11:15 11:30 11:45 12:00 12:15 12:30 12:45 13:00 13:15 13:30 13:45 14:00 14:15 14:30 14:45 15:00 9.85 10.51 10.15 9.875 10.51 10.16 Table A-12: Stage Measurements During the 500 cfs Pump Test Time 10:30 10:45 11:00 11:15 11:30 11:45 12:00 12:15 12:30 12:45 13:00 13:15 13:30 13:45 14:00 14:15 14:30 14:45 15:00 15:15 15:30 15:45 16:00 Station 1 MIT Station 2 MIT Station 5 MIT 10.475 10.44 10.32 9.65 9.375 9.225 10.34 9.87 9.225 10.32 9.225 9.225 10.3 9.84 10.28 9.83 10.525 Station 1 SFWMD 10.42 10.43 10.44 10.44 10.39 10.33 10.32 10.32 10.31 10.31 10.3 10.3 10.3 10.28 10.28 10.27 10.33 10.38 10.41 10.38 10.36 10.36 10.35 Station 2 SFWMD 10.29 10.3 10.3 10.31 10.04 9.88 9.85 9.85 9.84 9.84 9.84 9.83 9.83 9.82 9.81 9.81 10.19 10.26 10.267 10.22 10.22 10.22 10.21 Station 5 SFWMD 10.4 10.41 10.42 9.85 9.26 9.15 9.14 9.12 9.12 9.13 9.12 9.12 9.13 9.12 9.12 9.93 10.45 10.46 10.3 10.32 10.38 10.34 10.29 Appendix B: Grain Size and Organic Content Analysis In general the procedure for the above tests were in accordance with the specifications set out in the ASTM standards D 422-63 and D 2974-87 [1], with slight modifications. An overview of these standards is given below: B.1: Organic Content (ASTM D 2974-87) 1. 2. 3. A small amount of the dried soil sample (about 10 grams) was placed in a porcelain dish and weighed. The dish was placed in the muffle furnace and kept there for 24 hours at 750 C. The sample was then weighed to determine the mass of organics burnt off. Calculations: % Organic Content = Mass Burnt Off Off xBurnt 100 Original Soil Mass (B.1) The Organic content for the samples is given in Appendix B.3.1. B.2: Grain Size Analysis (ASTM D 422-63) B.2.1: Hydrometer Tests The soil sample is usually sieved before carrying out the hydrometer analysis. However, due to the high organic content of the soil sample, the hydrometer test was carried out first to prevent altering the soil matrix during drying. 1. 2. 3. 4. The moisture content of the soil samples was determined by oven drying at 105 C about 10 grams of the samples. Based on the moisture content, the equivalent of about 50 grams dry soil sample was weighed out for the hydrometer tests. Because of the small amounts of sample available, only three of the samples were analyzed. The soil samples were mixed with a solution of the dispersing agent (Sodium Hexametaphosphate) in distilled water and left overnight to soak. The samples were dispersed further using apparatus A [1], and poured into glass sedimentation cylinders. These were allowed to stand for 24 hours to equilibrate the temperature in the water bath. 5. Hydrometer tests (as described in ASTM D442-63, section 10) were then carried out on the three samples. This involved the use of a hydrometer to record changes in the relative density of the soil water solution with time. The Stokes equation given below gives the relationship between the falling velocity wf of a particle and it size. w/ = gd gd 2 - p) (B.2) 18 p where: g = acceleration due to gravity d = diameter of particle p, = density of particle material p = density of water . g = dynamic viscosity This is used with the hydrometer readings to calculate the grain size of the particles. 6. After the hydrometer tests were completed, the sample solutions were oven dried to obtain the dry mass of the soils. These samples were then used for sieve analysis. The hydrometer tests were based on a soil density of 2650 Kg/m 3. The hydrometer test results are given in appendix B2. B.2.2: Sieve Analysis The sieve analyses were carried out on the dry samples as described in ASTM D 422. When the first sieve analysis was carried out on each of the samples, it was discovered that the drying process had produced a lot of clumps which could not be broken up, thus giving erroneous results. An organic content analysis (Appendix B.3.1) of these clumps showed that they were very high in organic content, indicating that the organic material in samples had formed clumps with finer soil particles. To get better results the three samples were soaked in water for 24 hours and then washed on a #270 sieve. The material retained was oven dried and then sieved. This produced no clumping and gave reasonable results. The results for the sieve analysis and the grain size curves are given in Appendix B.3.3 and B.4 respectively. B.3: Test Results B.3.1: Organic Content The results for the organic content tests are given below. Only two of the soil samples were used. The clumps were from both samples 62 and 51. Table B-1: Soil Organic Content Analysis B.3.2: Hydrometer Test Results The hydrometer results are presented below. The analysis is based on the ASTM D 442 Standard and Soil Testing for Engineers [6]. To show how the calculations were carried out, the data for sample 51 has been used. The column denoted Sample information gives general information about the sample that was used in calculating the grain sizes. The weight of the sample calculated after the test was completed is also here. The specific gravity of the solids is also given. A calibration had already been carried out for the hydrometer and cylinders and the values used for this are shown in this column. B.3.2.1: Description of Columns A to L Column Column Column Column Column Column Column Column A: B: C: D: E: F: G: H: the time elapsed since the beginning of the test in minutes. the hydrometer relative density readings obtained in the sample solution (r). the hydrometer relative density readings obtained in the control solution (r,). 1000(r-1) 1000(r, -1) the temperature in C. It is used in getting accurate values of the water density. R-R, the value of y, which is the unit weight (density) of water. This is dependent on the temperature. Column I: the percentage of material finer, than the diameter calculated for this reading. It is given by: V G N= - - Y, (r - r,)x100% (B.2) Where y, is the unit weight of water at which the hydrometer was calibrated (0.9982063 g/cm 3 for these tests). Column J: the value of Zr, the hydrometer calibration used. The no correction value was used for the first 2 minutes after which the corrected value was used (formulae for this are given in the sample information column). Column K: This is the value of viscosity of water at different temperatures (taken from table A3, [5]). Column L: This is the calculated grain size and is given by Where y,= G, y,; Note that the value of D obtained by (B.3) is multiplied by 10 to get the diameter in mm. Table B-2: Hydrometer Analysis of Sample 51 Sample: Depth: Specific Gravity (Gs): Soil Sample Weight: . Wt. container + dry soil, in g: Wt. container, in g: Wt. added salt, In g: Wt. dry soil, in g: 51 8ft 2.65 55.49 558.51 503.02 5 55.49 Columns .t---- --I-- ------- i q Initial readings: Elapsed Time R= r r 1000(r-1) R== 1000(r -I) (min.) R-R, 0.9979 0.9979 0.9979 0.9979 0.9979 0.9979 0.9978 0.9978 0.9975 0.9981 0.9981 H (gcm) 1.0157 1.0145 1.0140 1.0130 1.0103 1.0080 1.0075 1.0064 1.0061 1.0030 1.0030 1.0030 1.0030 1.0030 1.0030 1.0031 1.0030 1.0028 15.65 14.45 14.00 13.00 10.30 8.00 7.50 6.40 6.10 3.00 3.00 3.00 3.00 3.00 3.00 3.10 3.00 2.80 21.5 21.5 21.5 21.5 21.5 21.5 21.8 22.0 23.3 1 0061 1 0034 6.10 3.40 20.4 12.65 11.45 11.00 10.00 7.30 5.00 4.40 3.40 3.30 2.70 A B C D E F G volume, In cm': 1000 Hydrometer No.: 56961 C., in cm: Zr (no correction): Zr (with correction): 0.0005 17.30248-.25801R 15.93051-.25801R g, Temp. (0C) (I 0.50 1.00 2.00 5.00 15.00 30.00 60.00 250.00 480.00 1I440 23.273 Cylinder Area (A), in em: - - . . Sample Information N () 36.55 33.08 31.78 28.89 21.09 14.45 12.71 9.82 9.53 7.8 7.80 Zr m (cm) (g-s)cm 13.26 13.57 13.69 12.58 13.27 13.87 14.00 14.28 14.36 9.92E-06 9.92E-06 9.92E-06 9.92E-06 9.92E-06 9.92E-06 9.85E-06 9.80E-06 9.50E-06 14. ib 14.36t J 1r.U~- 1.UZ:-UO K Table B-3: Hydrometer Analysis of Sample 52 Sample: Depth: Specific Gravity (Gs): 52 8ft 2.65 Soil Sample Weight: Wt. container + dry soil, in g: Wt. container, in g: Wt. added salt, in g: Wt.dry soil, in g: 38.71 ....... . ........ .... .............. . . . . .. .......... ........ .. . . . .. . . Initial readings: Elapsed Time (mi n.) 0.50 1.00 2.00 5.00 15.00 30.00 60.00 250.00 480.00 1440 547.51 508.8 5 38.71 . . . . . .. . . . . .. ... ..... ..... . . . ........................ ... . . . . . . . . . . . . . . . . . .. . . .. . . . . . .. . . . . . . .. H........ .. . .. ...................................... ... .. . r r .. .......... 1.0121 1.0111 1.0107 1.0103 1.0090 1.0068 1.0060 1.0051 1.0049 1.0049 R,= 12.05 11.10 10.65 10.30 9.00 6.80 6.00 5.10 4.90 4.90 1.0030 1.0030 1.0030 1.0030 1.0030 1.0030 1.0031 1.0030 1.0028 1.0034 Temp. R-R, 3.00 3.00 3.00 3.00 3.00 3.00 3.10 3.00 2.80 3.40 ("C) 21.5 21.5 21.5 21.5 21.5 21.5 21.8 22.0 23.3 20.4 9.05 8.10 7.65 7.30 6.00 3.80 2.90 2.10 2.10 1.50 (g/cm) 0.9979 0.9979 0.9979 0.9979 0.9979 0.9979 0.9978 0.9978 0.9975 0.9981 37.48 33.55 31.68 30.23 24.85 15.74 12.01 8.70 8.70 6.21 ... .. ......... ........ - I Zr m (cm) 14.19 14.44 14.55 13.27 13.61 14.18 14.38 14.61 14.67 14.67 (g-s)/cm 2 9.92E-06 9.92E-06 9.92E-06 9.92E-06 9.92E-06 9.92E-06 9.85E-06 9.80E-06 9.50E-06 1.02E-05 ........... .............. ............... . I-... . . ..... ................ iI i ..... | I ....................... ........ ........ t i ...... . ......... I .................. .... ....................................... i.... i .............. . . . . . . i .. . . . . . . . . i30248-.25801R 17. ............. -.250 R ......... ... ......................... .. ......... ............. | 1 ......................... i 1000 1 30 r (wth correcion): .................. g ............. . . . .................. .... ................ ................. . ...... ........................... Zr (no correction): 1000(r,-) ... Iydrometer Calibration Data 2 123.273 Cylinder Area incm : Volume,in cm : R= 1000(r-1) Sample: Depth: Specific Gravity (Gs): Soil Sample Weight: Wt. container + dry soil, in g: Wt. container, in g: Wt. added salt, in g: Wt. dry soil, in g: 62 8ft 2.65 142.84 636.02 493.18 5 142.84 Table B-4: Hydrometer Analysis of Sample 62 ampe 6 Tabl B-: HdromterAnaysisof ilnitial readings: Elapsed Time r (min.) L 0.50 1.00 2.00 5.00 15.00 30.00 60.00 250.00 480.00 1440 1.0248 1.0227 1.0197 1.0179 1.0165 1.0160 1.0150 1.0125 1.0112 1.0102 r,, 1.0030 1.0030 1.0030 1.0030 1.0030 1.0030 1.0031 1.0030 1.0028 1.0034 R= 1000(r-1) 24.75 22.65 19.65 17.90 16.50 16.00 15.00 12.50 11.20 10.20 R,= 1000(r,-1) Temp. 3.00 3.00 3.00 3.00 3.00 3.00 3.10 3.00 2.80 3.40 (OCI 21.5 21.5 21.5 21.5 21.5 21.5 21.8 22.0 23.3 20.4 R-R. 21.75 19.65 16.65 14.90 13.50 13.00 11.90 9.50 8.40 6.80 1 .......... . ............ Cylinder Area (A), in cm : . .. .......... 2 3 .2 73.. Volume, in cm3: 1000 Hlydrometer No.: .................................... ......... . C.,in cm: 0.0005 Zr (no correcion): ........... I17.30248-.25801R Zr (with correction): 15.93051-.25801R . i. ..., .. . i ... . . .. . .. - . I .......... i........... i ........._ . .I i ...... ..1 .. ............ i...... ......... ......j /g, (g/cm) 0.9979 0.9979 0.9979 0.9979 0.9979 0.9979 0.9978 0.9978 0.9975 0.9981 Zr N I(%) 24.41 22.05 18.69 16.72 15.15 14.59 13.36 10.66 9.43 7.63 m (cm) f (g-s)/cm 10.92 11.46 12.23 11.31 11.67 11.80 12.06 12.71 13.04 13.30 z 9.92E-06 9.92E-06 9.92E-06 9.92E-06 9.92E-06 9.92E-06 9.85E-06 9.80E-06 9.50E-06 1.02E-05 B.3.3: Sieve Analysis: The results for the sieve analysis tests are presented below: Table B-5: Sieve Analysis Data for Sample 51 Number 10 20 30 60 100 200 270 Pan Sieve sample 51 Opening (mm) 2.0000 0.8400 0.5900 0.2500 0.1490 0.0740 0.0530 less than 0.053 Weight (g) 452.25 411.88 402.64 349.38 350.15 389.16 342.6 342.62 Soil + Sieve (g) 453.17 413.16 403.65 354.77 364.77 398.6 344.85 343.84 Dry Soil Weight (g) 0.92 1.28 1.01 5.39 14.62 9.44 2.25 1.22 % Finer 98.34 96.04 94.22 84.50 58.15 41.14 37.09 34.89 Table B-6: Sieve Analysis Data for Sample 52 Number 10 20 30 60 100 200 270 Pan Sieve sample 52 Opening (mm) 2.0000 0.8400 0.5900 0.2500 0.1490 0.0740 0.0530 less than 0.053 Weight (g) 452.3 411.89 402.64 349.69 350.2 389.23 343.29 342.65 Soil + Sieve (g) 453.67 416.83 404.99 354.67 357.89 395.16 344.21 343.43 Dry Soil Weight (g) 1.37 4.94 2.35 4.98 7.69 5.93 0.92 0.78 % Finer 96.46 83.70 77.63 64.76 44.90 29.58 27.20 25.19 Table B-7: Sieve Analysis Data for Sample 62 Number 20 30 60 100 200 270 Pan Sieve Sample 62 Opening (mm) 0.8400 0.5900 0.2500 0.1490 0.0750 0.0530 less than 0.053 Weight (g) 411.91 402.68 349.51 350.06 389.33 342.63 342.66 Soil + Sieve (g) 432.76 406.88 371.69 395.96 409.94 347.35 345.38 Dry Soil Weight (g) 20.85 4.2 22.18 45.9 20.61 4.72 2.72 % Finer 85.40 82.46 66.93 34.78 20.35 17.04 15.14 B.4: Grain Size Distribution The grain size distribution curves are given for the three samples analyzed: 100 90 80 70 -IIA I- 60 r , 50 40 30 20 10 0 0.0001 0.0010 0.0100 0.1000 Grain Size (mm) ---- Sieve Analysis - Hydrometer Figure B-1: Grain Size Distribution Curve for Sample 51 1.0000 10.0000 100 90 - 80 70 - -f 60 _ S50 S 40 30 20 -*--- D" 0 0.0001 0.0010 0.0100 0.1000 Grain Size (mm) -- Sieve Analysis -- *- Hydrometer Figure B-2: Grain Size Distribution Curve for Sample 52 1.0000 10.0000 100 90 80 70 30 20 10 0 0.0001 0.0010 0.0100 0.1000 Grain Size (mm) - - Sieve Analysis -*- Hydrometer Figure B-3: Grain Size Distribution Curve for Sample 62 1.0000 10.0000 B.5: Field Tests for Settling Velocity The theory used in calculating the settling velocity from the field data is given in Section 5.1. The following gives data not analyzed in the section 5.1. 0.85 0.80 0.75 0.70 0.65 0.60 0.5 1 1.5 2.5 2 3.5 3 Time (hr) Figure B-4: Settling Velocity Test at 300cfs for Station 4 0.85 0.80 0.75 0.70 0.65 0.60 0 0.5 1 1.5 2 2.5 3 Time (hr) Figure B-5: Settling Velocity Test at 300cfs for Station 4 Between Samples 3. 0.9 - •U 0.8 0.8 0.7 0.7 0.6 Time (hr) Figure B-6: Settling Velocity Test at 300cfs for Station 5 0.6 Time (hr) Figure B-7: Settling Velocity Test at 300cfs for Station 5 Between Samples 1.2 1.1 1.0 S0.9 U-- 0.8 e3 0.7 0.6 Time (hr) Figure B-8: Settling Velocity Test at 500cfs for Station 4 1.0 E-- C 0.9 - - 0.8 0.7 0.6 Time (hr) Figure B-9: Settling Velocity Test at 500cfs for Station 4 Between Samples 100 1.3 1.2 1.1 1.0 0.9 ~---, 0.8 Time (hr) Figure B-10: Settling Velocity Test at 500cfs for Station 5 1.3 1.2 1.1 1.0 0.9 0.8 0.7 Time (hr) Figure B-11: Settling Velocity Test at 500cfs for Station 5 Between Samples Based on the above charts the following settling velocities were obtained. Table B-8 also shows the slope of the above graphs. The depth of water at station 5 was 7 ft while at station 4 a value of 10 ft was used. 101 Table B-8: Settling Velocity (ft/hr) Results for 300 cfs Station 5 Station 4 Time (hrs) Average 0.5 to 1 1 to 2 2 to 3.5 Wf (ft/hr) 1.12 3.03 1.48 0.38 Slope b -0.05 -0.13 -0.06 -0.02 Wf (ft/hr) 0.50 -1.52 0.86 0.71 Slope b -0.03 0.09 -0.05 -0.04 Table B-9: Settling Velocity (ft/hr) Results for 500 cfs Station 4 Time (hrs) Average 0.5 to 1 1 to 2 2 to 3.5 Slope b -0.10 -0.25 -0.09 -0.06 Wf (ft/hr) 2.22 5.82 2.07 1.48 Slope b -0.12 -0.28 -0.16 -0.06 Station 5 Wf (ft/hr) 1.97 4.49 2.58 0.90 B.6: Settling Velocity During Pumping The following gives computed results for settling velocity during pumping based on Equation 5.6. The theory used is given Section 5.1. The sample numbers indicate the order in which the samples were collected during testing. Table B-10: Settling Velocity (ft/hr) During Pumping for 500 cfs Sample # Station 4 Station 5 1 52.98 22.83 2 32.21 23.25 3 24.72 20.82 4 28.64 18.99 Table B-11: Settling Velocity (ft/hr) During Pumping for 400 cfs Sample # Station 4 Station 5 1 14.91 5.16 2 21.83 16.66 3 8.79 8.36 4 18.54 5.85 102 Table B-12: Settling Velocity (ft/hr) During Pumping for 300 cfs 1 1.46 2.98 Sample # Station 4 Station 5 2 8.58 0.76 4 5.21 5.81 3 10.56 1.88 Table B-13: Settling Velocity (ft/hr) During Pumping for 200 cfs Sample # Station 4 Station 5 1 3.17 0.00* 2 5.43 4.08 3 3.62 1.87 4 1.54 4.99 * indicates that the TSS increasedwith height above bottom of canal,giving a negative Wf Table B-14: Average Settling Velocity (ft/hr) and Standard Deviation During Pumping for Different Flow Rates Flow Rate 500 cfs 400 cfs 300 cfs 200 cfs Average Velocity (ft/hr) 28.06 12.51 4.66 3.09 Standard Deviation 10.92 6.27 3.54 1.84 Exp(-15wfu*) 0.37 0.56 0.69 0.72 D (mm) 0.05 0.03 0.02 0.02 * Diameter of an equivalentparticle 103 Appendix C: Head Loss Parameter Modeling for the Entrance Culverts to the ENR Supply Canal One of the key assumptions of the sediment transport model is that the suspended solids entering into the ENR supply canal are the same as the suspended solids in the West Palm Beach canal. More specifically, the TSS measured at station 1 (via the Niskin bottles) matches the depth averaged TSS measured at station 2 (with the TSS masts). This assumption allows for the data at station 2 to be used as the representative inflow TSS concentrations into the control volume/supply canal and ignore the data at station 1. This is advantageous since setting up a TSS mast in the West Palm Beach Canal (station 1) was impratical. As a consequence, only one TSS measurement could be taken there for every time period tested for (as opposed to the four to five samples taken with depth as station 2). Thus, utilizing station 2 as the input location allowed for the use of more data. If the TSS concentrations at stations 1 and 2 did not match, it would be prudent to utilize the TSS measurements at station 1 for the inflow values. In between stations 1 and 2 are located five entrance culverts each eight feet in diameter buried beneath a levee that connect the West Palm Beach canal with the supply canal. Flow through these culverts could have a significant impact on the hydraulics of the supply canal. Any sediment transport model having to utilize station 1 as the input site would have to control for the effects of the flow through these culverts. Since it was uncertain whether or not the uniform TSS concentrations assumption would be valid and it would take some time for the TSS results to be obtained, it was decided to go ahead and attempt to determine the effects of the entrance culverts on the flow characteristics in case this was necessary for the final sediment transport model. The largest hydraulic effect of the entrance culverts is going to be the loss in energy (or head) due to friction and the constriction and subsequent expansion of the flow upon entering each culvert. The loss in head decreases the amount of energy available to drive flow from the West Palm Beach canal through the supply canal and into the ENR. This effect needs to be determined via modeling in order to estimate its properties. Fluids flow from an area of high energy (head) to low energy. This fact implies that there must be a higher head in the West Palm Beach canal for water to flow into the supply canal. Flow through the culverts will result in headlosses. The total head loss through the culvert will be comprised of three componets: * The frictional head loss due to flow through the corrugated pipes retarding flow * The entrance head loss due to the flow contracting and subsequently expanding when it enters the culverts * The exit head loss resulting from the fluid flow slowing down as it enters into a larger area of flow 104 The total head at any point in an open channel can be characterized by the open channel form of the Bernoulli Equation (C.1) [6]. V2 H - +z 2g (C.1) where H is the total head, v is the velocity of the flow, g is the gravitational constant, and z is the elevation. The concept of energy conservation is expressed by (C.2). (C.2) H, = H2 + AH The term AH represents the total head loss between stations 1 and 2. Rearranging (C.1) and (C.2) and breaking the head loss term into its three component parts yields (C.3) [6]. 2 2 AH = g +z- 2 2 2g 2 2g = (f-+ d C+ 1) v 2g (C.3) where: v, is the velocity at station 1 v2 is the velocity at station 2 f is the Darcy Weisbach friction factor L is the length of the culverts (115 ft = 35.05 m) d is the diameter of the culverts (8 ft = 2.44 m) C is the entrance loss coefficient v, is the velocity in the pipes The parameters C and f vary for different physical systems. These two parameters need to be estimated in order to better understand the hydraulic properties occuring between stations 1 and 2. The cross sectional area of the West Palm Beach canal is large compared to the ENR supply canal. As a result an assumption of the velocity at station 1 equal to zero was made. Knowing the flow rate (Q) being pumped through the supply canal, it is possible to determine the velocities at both stations 2 and in the culverts since both cross-sectional areas are known. Since the elevations at both stations 1 and 2 were measured at each testing period, (C.3) can be rewritten in terms of the head difference. Z - z2 = 2 v 2g + (f L - d v2 + C + 1) VP (C.4) 2g Knowing the difference in elevation, the velocities at station 2 and in the culverts, and the length and diameter of the culverts allows for the two unknown parameters (f and C) to be estimated. Typical values of f and C are known, but the exact figures can only be estimated. 105 Based on experience it is evident that frictional losses through the culverts will dominate the head losses. Typical values of the entrance loss contraction coefficient (C) range from 0.5 to 1. A value of 0.5 corresponds to a Borda's mouthpiece geometry (where the pipe fully intrudes into the body of water). This is the geometry we have in this case except the culverts lie near the bed of the canal which decreases the volume of contraction so the head loss coefficient will be slightly higher. As a consequence, a first approximated value ofC = 0.6 was utilized. This value was then inserted in (C.4) along with the elevation changes measured during various flow rates to obtain a first approximation of f. Inserting the contraction coefficient of 0.6 with the elevational changes for varying flow rates yielded an estimate for f near 0.2. Typical values of f are around 0.02 for open channel flow friction; however, this friction factor should increase dramatically for flow through a corrugated culvert (increased roughness). As a consequence, this value seemed reasonable. Since the values of f and C are not known precisely, they were varied slightly in attempt to yield "best fit" estimates. Alternate C values of 0.75 and 1 were inserted into (C.4) yielding f estimates of 0.19 and 0.172 respectively. These three different sets of parameters were input into a spreadsheet model in order to determine the deviation with actual measurements. The set of parameters that minimized the deviation among all flow rates would be chosen as the "best fit" set of estimated f and C values. Table C-1 lists the outcome of inserting the three sets of parameters into the model ind the resulting deviations from the observed values. Table C-1: Modeling of Head Loss to Estimate f and C Q (cfs) 200 300 400 Az (obs) 0.015 0.046 0.058 C = 0.6 Az (mod) 0.015 0.033 0.062 500 0.101 0.097 f= 0.2 deviation 0 -0.013 0.004 C = 0.75 Az (mod) 0.015 0.033 0.062 f= 0.19 deviation 0 -0.013 0.004 C=1 Az (mod) 0.015 0.033 0.061 f= 0.172 deviation 0 -0.013 0.003 -0.004 0.097 -0.004 0.097 -0.004 where all the reported values are in meters, Az (obs) is the observed elevation difference between stations 1 and 2, and Az (mod) is the predicted elevation difference from the model. As can be see by the results of the deviations listed in Table C-1, varying the parameters slightly had a negligible effect on the model's predicted elevation differences. Thus, the original determination of the contraction coefficient (C) of 0.6 and a Darcy Weisbach friction factor (f) of 0.2 are assumed to apply for the culverts between stations 1 and 2. If the reported TSS concentrations turned out not to illustrate a constant TSS concentration between stations 1 and 2, then the data at station 1 would have to be used in the sediment transport model. This would mandate the use of the parameters (C and f) to properly characterize the flow conditions throughout the new expanded control volume (from stations 1 to 5). 106 Appendix D: Data from Sediment Transport Model D.1 Mass Fluxes This chart shows the values for the mass flux for different pumping rates, sections of the canal, and times. The canal segment indicates the number of the segment, with segment 1 between stations 2 and 3, segment 2 between stations 3 and 4, and segment 3 between stations 4 and 5. The sampling number indicates which sample over time, with 0 taking place before pumping started, 1 as the first sample after pumping started, etc. The 300 cfs pump test is the only test with a mass flux during at the very beginning because the pumps had been running long before sampling began. Pump Rate (cfs) Canal Segment 200 200 200 200 200 200 200 200 200 200 200 200 300 300 300 300 300 300 300 300 300 300 300 300 400 400 400 400 400 400 400 1 1 1 1 2 2 2 2 3 3 3 3 1 1 1 1 2 2 2 2 3 3 3 3 1 1 1 1 2 2 2 Sampling Number 1 2 3 4 1 2 3 4 1 2 3 4 0 1 2 3 0 1 2 3 0 1 2 3 1 2 3 4 1 2 3 Mass Flux (kg/m2s) 5.8e-7 2.8e-7 3.1e-7 4.3e-7 -6.1e-7 -1.7e-7 -3.4e-7 -5.2e-7 4.3e-9 1.3e-6 1.2e-6 7.6e-7 1.3e-6 1.4e-6 1.Oe-6 4.8e-7 1.8e-6 2.1e-6 1.6e-6 1.4e-6 2.3e-6 -1.8e-8 3.7e-8 8.4e-7 1.1e-5 7.8e-6 3.9e-6 2.1e-6 -3.4e-6 6.2e-6 3.9e-6 107 400 400 400 400 400 500 500 500 500 500 500 500 500 500 500 500 500 2 3 3 3 3 1 1 1 1 2 2 2 2 3 3 3 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 3.8e-6 1.0e-5 4.8e-6 2.2e-5 7.4e-6 1.1e-5 1.4e-5 6.8e-6 4.1e-6 1.5e-6 1.3e-5 1.8e-5 7.2e-6 1.2e-5 1.12e-5 2.3e-5 2.4e-5 108 100 100 200 100 200 100 200 100 200 300 200 100 200 100 200 200 300 200 300 200 300 400 300 200 100 200 300 200 300 400 300 200 300 400 300 200 300 200 300 200 300 200 100 200 300 200 8/21/94 8/21/94 8/22/94 8/22/94 8/22/94 8/22/94 8/22/94 8/22/94 8/22/94 8/22/94 8/22/94 8/22/94 8/22/94 8/22/94 8/22/94 8/22/94 8/22/94 8/22/94 8/23/94 8/23/94 8/24/94 8/24/94 8/24/94 8/25/94 8/25/94 8/25/94 8/25/94 8/25/94 8/25/94 8/25/94 8/25/94 8/25/94 8/25/94 8/27/94 8/27/94 8/27/94 8/27/94 8/27/94 8/27/94 8/27/94 8/27/94 8/28/94 8/28/94 8/28/94 8/28/94 8/29/94 16:22 22:24 6:12 6:17 7:04 7:09 7:10 7:11 10:24 10:26 10:29 10:31 10:36 10:39 12:41 16:51 23:37 23:50 1:25 7:52 13:51 13:53 13:56 6:00 7:25 7:28 8:01 10:01 10:27 11:15 11:16 11:57 12:30 5:42 8:05 15:12 16:42 17:42 18:27 18:36 18:43 9:06 9:07 11:48 11:54 9:43 8/21/94 8/22/94 8/22/94 8/22/94 8/22/94 8/22/94 8/22/94 8/22/94 8/22/94 8/22/94 8/22/94 8/22/94 8/22/94 8/22/94 8/22/94 8/22/94 8/22/94 8/23/94 8/23/94 8/24/94 8/24/94 8/24/94 8/25/94 8/25/94 8/25/94 8/25/94 8/25/94 8/25/94 8/25/94 8/25/94 8/25/94 8/25/94 8/27/94 8/27/94 8/27/94 8/27/94 8/27/94 8/27/94 8/27/94 8/27/94 8/28/94 8/28/94 8/28/94 8/28/94 8/29/94 8/29/94 22:21 6:12 6:17 7:04 7:09 7:10 7:11 10:24 10:26 10:29 10:31 10:36 10:39 12:41 16:48 23:37 23:50 1:25 7:52 13:51 13:53 13:56 5:57 7:24 7:28 8:01 10:01 10:27 11:15 11:16 11:57 12:30 5:42 8:05 15:12 16:42 17:42 18:27 18:36 18:43 9:06 9:07 11:48 11:54 9:43 9:52 359 468 5 47 5 1 1 193 2 3 2 5 3 122 247 406 13 95 387 1799 2 3 961 84 3 33 120 26 48 1 41 33 2472 143 427 90 60 45 9 7 863 1 161 6 1309 9 294.60 384.05 11.92 38.57 11.92 0.82 2.38 158.38 4.77 20.80 4.77 4.10 7.15 100.12 588.78 967.79 90.14 226.45 2683.26 4288.30 13.87 72.36 6663.09 200.23 2.46 78.66 832.02 61.98 332.81 24.12 284.27 78.66 17139.60 3449.23 2960.60 214.53 416.01 107.27 62.40 16.69 5983.60 2.38 132.12 14.30 9075.94 21.45 0.04419 0.05761 0.00179 0.00579 0.00179 0.00012 0.00036 0.02376 0.00072 0.00312 0.00072 0.00062 0.00107 0.01502 0.08832 0.14517 0.01352 0.03397 0.40249 0.64324 0.00208 0.01085 0.99946 0.03003 0.00037 0.01180 0.12480 0.00930 0.04992 0.00362 0.04264 0.01180 2.57094 0.51739 0.44409 0.03218 0.06240 0.01609 0.00936 0.00250 0.89754 0.00036 0.01982 0.00215 1.36139 0.00322 109 300 200 300 300 200 300 100 200 300 400 300 400 100 400 300 200 300 400 300 200 300 200 300 200 300 400 300 200 300 100 300 200 300 200 200 200 200 200 100 100 200 100 100 100 100 100 8/29/94 8/29/94 8/29/94 8/30/94 8/30/94 8/30/94 9/3/94 9/3/94 9/3/94 9/6/94 9/6/94 9/8/94 9/8/94 9/8/94 9/9/94 9/9/94 9/9/94 9/9/94 9/10/94 9/10/94 9/10/94 9/10/94 9/10/94 9/10/94 9/10/94 9/10/94 9/11/94 9/11/94 9/11/94 9/11/94 9/11/94 9/11/94 9/11/94 9/13/94 9/13/94 9/14/94 9/19/94 9/19/94 9/19/94 9/19/94 9/20/94 9/20/94 9/20/94 9/21/94 9/23/94 9/23/94 9:52 9:57 10:27 9:15 11:15 15:21 8:09 8:12 8:13 3:31 3:32 9:55 13:52 13:54 9:22 15:24 15:25 16:52 9:21 9:26 9:52 9:57 10:12 12:42 13:16 15:17 8:12 9:09 13:11 13:29 13:33 13:54 17:19 8:12 18:31 16:40 15:07 16:11 16:29 18:22 9:49 10:07 18:33 1:04 15:01 15:19 8/29/94 8/29/94 8/30/94 8/30/94 8/30/94 9/3/94 9/3/94 9/3/94 9/6/94 9/6/94 9/8/94 9/8/94 9/8/94 9/9/94 9/9/94 9/9/94 9/9/94 9/10/94 9/10/94 9/10/94 9/10/94 9/10/94 9/10/94 9/10/94 9/10/94 9/11/94 9/11/94 9/11/94 9/11/94 9/11/94 9/11/94 9/11/94 9/13/94 9/13/94 9/14/94 9/19/94 9/19/94 9/19/94 9/19/94 9/20/94 9/20/94 9/20/94 9/21/94 9/23/94 9/23/94 9/23/94 9:57 10:27 9:12 11:15 15:21 7:42 8:12 8:13 3:31 3:32 9:55 13:24 13:54 9:22 15:24 15:25 16:52 9:21 9:26 9:52 9:57 10:12 12:42 13:16 15:17 8:12 9:09 13:11 13:12 13:33 13:54 17:19 8:12 18:28 16:36 14:58 16:10 16:29 16:43 9:49 10:07 18:30 1:03 14:57 15:15 15:23 5 30 1365 120 246 5301 3 1 4038 1 3263 209 2 1168 362 1 87 989 5 26 5 15 150 34 121 1015 57 242 1 4 21 205 2333 616 1325 7098 63 18 14 927 18 503 390 3713 14 4 34.67 71.51 9464.22 832.02 586.39 36754.45 2.46 2.38 27997.45 24.12 22623.99 5041.19 1.64 28172.76 2509.92 2.38 603.21 23855.19 34.67 61.98 34.67 35.76 1040.02 81.05 838.95 24482.32 395.21 576.86 6.93 3.28 145.60 488.66 16175.84 1468.37 3158.42 16919.59 150.17 42.91 11.49 760.72 42.91 412.77 320.04 3046.97 11.49 3.28 0.00520 0.01073 1.41963 0.12480 0.08796 5.51317 0.00037 0.00036 4.19962 0.00362 3.39360 0.75618 0.00025 4.22591 0.37649 0.00036 0.09048 3.57828 0.00520 0.00930 0.00520 0.00536 0.15600 0.01216 0.12584 3.67235 0.05928 0.08653 0.00104 0.00049 0.02184 0.07330 2.42638 0.22026 0.47376 2.53794 0.02253 0.00644 0.00172 0.11411 0.00644 0.06192 0.04801 0.45705 0.00172 0.00049 110 200 100 100 100 100 100 100 100 200 100 200 300 400 300 100 200 100 200 100 200 100 200 300 200 200 300 100 300 200 300 200 300 400 100 200 400 300 400 300 100 200 300 400 300 200 300 9/23/94 9/23/94 9/24/94 9/27/94 9/27/94 9/27/94 9/30/94 10/3/94 10/6/94 10/6/94 10/10/94 10/10/94 10/11/94 10/11/94 10/11/94 10/11/94 10/11/94 10/11/94 10/12/94 10/12/94 10/12/94 10/13/94 10/13/94 10/14/94 10/14/94 10/15/94 10/20/94 10/20/94 10/20/94 10/20/94 10/22/94 10/22/94 10/22/94 10/23/94 10/23/94 10/23/94 10/25/94 10/25/94 10/25/94 10/26/94 10/26/94 10/26/94 10/28/94 10/28/94 10/28/94 10/28/94 15:23 16:07 11:28 12:22 12:31 16:36 15:51 14:16 11:51 11:54 7:30 22:05 0:49 11:48 21:05 21:06 21:14 21:15 3:02 16:43 16:44 7:16 15:43 2:50 3:32 8:13 12:21 12:28 12:29 12:30 6:06 6:09 6:47 10:28 10:29 10:30 2:11 9:12 13:15 20:43 20:44 20:47 2:28 11:30 12:05 12:54 9/23/94 9/24/94 9/27/94 9/27/94 9/27/94 9/30/94 10/3/94 10/6/94 10/6/94 10/10/94 10/10/94 10/11/94 10/11/94 10/11/94 10/11/94 10/11/94 10/11/94 10/12/94 10/12/94 10/12/94 10/13/94 10/13/94 10/14/94 10/14/94 10/15/94 10/20/94 10/20/94 10/20/94 10/20/94 10/22/94 10/22/94 10/22/94 10/23/94 10/23/94 10/23/94 10/25/94 10/25/94 10/25/94 10/26/94 10/26/94 10/26/94 10/28/94 10/28/94 10/28/94 10/28/94 10/29/94 16:07 11:24 12:21 12:29 16:34 15:47 14:15 11:51 11:54 7:30 22:05 0:49 11:48 20:57 21:06 21:12 21:15 3:02 16:43 16:44 7:16 15:43 2:50 3:27 8:13 12:21 12:28 12:29 12:30 6:03 6:09 6:47 10:21 10:29 10:30 2:11 9:12 13:15 17:57 20:44 20:47 2:28 11:30 12:05 12:54 15:07 44 1157 4373 7 243 4271 4224 4175 3 5496 875 164 659 549 1 6 1 347 821 1 872 507 667 37 1721 7448 7 1 1 2493 3 38 1654 1 1 2381 421 243 1722 1 3 1781 542 35 49 1573 104.88 949.46 3588.58 5.74 199.41 3504.88 3466.31 3426.10 7.15 4510.14 2085.75 1137.09 15895.42 3806.49 0.82 14.30 0.82 827.15 673.73 2.38 715.58 1208.54 4624.64 88.20 4102.37 51640.66 5.74 6.93 2.38 17285.20 7.15 263.47 39895.33 0.82 2.38 57430.95 2919.00 5861.29 11939.48 0.82 7.15 12348.55 13073.32 242.67 116.80 10906.38 0.01573 0.14242 0.53829 0.00086 0.02991 0.52573 0.51995 0.51391 0.00107 0.67652 0.31286 0.17056 2.38431 0.57097 0.00012 0.00215 0.00012 0.12407 0.10106 0.00036 0.10734 0.18128 0.69370 0.01323 0.61536 7.74610 0.00086 0.00104 0.00036 2.59278 0.00107 0.03952 5.98430 0.00012 0.00036 8.61464 0.43785 0.87919 1.79092 0.00012 0.00107 1.85228 1.96100 0.03640 0.01752 1.63596 111 400 300 100 300 200 300 200 100 100 200 300 400 500 300 400 300 200 300 200 300 200 300 200 300 200 300 200 300 400 300 200 300 200 300 200 300 200 300 400 300 400 300 200 300 400 300 10/29/94 10/29/94 10/30/94 10/30/94 10/30/94 10/30/94 10/30/94 10/30/94 11/2/94 11/2/94 11/2/94 11/2/94 11/2/94 11/2/94 11/2/94 11/2/94 11/3/94 11/3/94 11/4/94 11/4/94 11/4/94 11/4/94 11/4/94 11/4/94 11/4/94 11/4/94 11/4/94 11/4/94 11/4/94 11/4/94 11/5/94 11/5/94 11/5/94 11/5/94 11/5/94 11/5/94 11/5/94 11/5/94 11/5/94 11/5/94 11/7/94 11/7/94 11/8/94 11/8/94 11/8/94 11/8/94 15:07 23:02 21:21 21:24 21:37 21:41 23:44 23:50 15:33 18:00 18:07 18:12 18:27 18:42 18:45 18:59 3:39 3:54 3:30 7:37 7:45 7:48 7:57 7:59 8:03 8:05 8:09 8:10 10:33 11:10 3:57 6:57 7:03 7:31 7:51 8:03 8:09 8:12 9:03 9:06 10:14 10:17 5:18 6:17 6:27 7:33 10/29/94 10/30/94 10/30/94 10/30/94 10/30/94 10/30/94 10/30/94 10/31/94 11/2/94 11/2/94 11/2/94 11/2/94 11/2/94 11/2/94 11/2/94 11/3/94 11/3/94 11/4/94 11/4/94 11/4/94 11/4/94 11/4/94 11/4/94 11/4/94 11/4/94 11/4/94 11/4/94 11/4/94 11/4/94 11/5/94 11/5/94 11/5/94 11/5/94 11/5/94 11/5/94 11/5/94 11/5/94 11/5/94 11/5/94 11/7/94 11/7/94 11/8/94 11/8/94 11/8/94 11/8/94 11/8/94 23:02 21:18 21:24 21:30 21:41 23:44 23:50 9:12 18:00 18:07 18:12 18:27 18:42 18:45 18:59 3:39 3:54 3:30 7:37 7:45 7:48 7:57 7:59 8:03 8:05 8:09 8:10 10:33 11:10 3:57 6:57 7:03 7:31 7:51 8:03 8:09 8:12 9:03 9:06 10:14 10:17 5:18 6:17 6:27 7:33 7:34 475 1336 3 6 4 123 6 562 147 7 5 15 15 3 14 520 15 1416 247 8 3 9 2 4 2 4 1 143 37 1007 180 6 28 20 12 6 3 51 3 2948 3 1141 59 10 66 1 11457.25 9263.15 2.46 41.60 9.53 852.82 14.30 461.19 120.63 16.69 34.67 361.81 699.91 20.80 337.69 3605.42 35.76 9817.83 588.78 55.47 7.15 62.40 4.77 27.73 4.77 27.73 2.38 991.49 892.46 6982.03 429.07 41.60 66.74 138.67 28.60 41.60 7.15 353.61 72.36 20439.94 72.36 7911.12 140.64 69.33 1591.95 6.93 1.71859 1.38947 0.00037 0.00624 0.00143 0.12792 0.00215 0.06918 0.01809 0.00250 0.00520 0.05427 0.10499 0.00312 0.05065 0.54081 0.00536 1.47267 0.08832 0.00832 0.00107 0.00936 0.00072 0.00416 0.00072 0.00416 0.00036 0.14872 0.13387 1.04730 0.06436 0.00624 0.01001 0.02080 0.00429 0.00624 0.00107 0.05304 0.01085 3.06599 0.01085 1.18667 0.02110 0.01040 0.23879 0.00104 112 400 300 200 300 200 300 200 300 200 300 400 300 200 300 400 500 400 300 400 300 100 200 300 100 300 200 300 300 100 200 300 400 300 300 200 300 200 300 300 500 100 200 300 400 500 400 11/8/94 11/8/94 11/8/94 11/8/94 11/9/94 11/9/94 11/9/94 11/9/94 11/9/94 11/9/94 11/9/94 11/9/94 11/9/94 11/9/94 11/10/94 11/10/94 11/10/94 11/10/94 11/11/94 11/12/94 11/19/94 11/19/94 11/19/94 11/20/94 11/20/94 11/20/94 11/20/94 11/20/94 11/21/94 11/21/94 11/21/94 11/22/94 11/22/94 11/23/94 11/23/94 11/23/94 11/24/94 11/24/94 11/25/94 11/28/94 11/29/94 11/29/94 11/29/94 11/29/94 11/29/94 11/29/94 7:34 7:35 7:42 7:48 5:01 5:04 5:12 5:16 5:24 5:27 6:19 7:31 11:02 11:03 7:50 7:53 16:50 16:51 8:49 9:50 6:34 6:35 6:38 13:17 13:18 13:23 13:24 16:12 10:06 10:09 10:10 15:19 16:36 4:54 12:22 12:24 1:27 1:30 20:30 9:43 11:07 11:10 11:11 11:12 11:14 21:17 11/8/94 11/8/94 11/8/94 11/9/94 11/9/94 11/9/94 11/9/94 11/9/94 11/9/94 11/9/94 11/9/94 11/9/94 11/9/94 11/10/94 11/10/94 11/10/94 11/10/94 11/11/94 11/12/94 11/14/94 11/19/94 11/19/94 11/20/94 11/20/94 11/20/94 11/20/94 11/20/94 11/21/94 11/21/94 11/21/94 11/22/94 11/22/94 11/23/94 11/23/94 11/23/94 11/24/94 11/24/94 11/25/94 11/28/94 11/29/94 11/29/94 11/29/94 11/29/94 11/29/94 11/29/94 11/30/94 7:35 7:42 7:48 5:01 5:04 5:12 5:16 5:24 5:27 6:19 7:31 11:02 11:03 7:50 7:53 16:50 16:51 8:49 9:50 7:41 6:35 6:38 13:15 13:18 13:23 13:24 13:48 8:00 10:09 10:10 15:19 16:36 4:51 11:30 12:24 1:24 1:30 20:27 9:43 8:18 11:10 11:11 11:12 11:14 21:17 0:27 1 7 6 1273 3 8 4 8 3 52 72 211 1 1247 3 537 1 958 1501 2751 1 3 1837 1 5 1 24 948 3 1 1749 77 735 396 2 780 3 2577 3673 1355 3 1 1 2 603 190 24.12 48.53 14.30 8826.34 7.15 55.47 9.53 55.47 7.15 360.54 1736.68 1462.97 2.38 8646.07 72.36 25056.84 24.12 6642.29 36204.90 19074.04 0.82 7.15 12736.83 0.82 34.67 2.38 166.40 6572.95 2.46 2.38 12126.68 1857.28 5096.12 2745.66 4.77 5408.12 7.15 17867.61 25466.72 63225.36 2.46 2.38 6.93 48.24 28136.45 4582.90 0.00362 0.00728 0.00215 1.32395 0.00107 0.00832 0.00143 0.00832 0.00107 0.05408 0.26050 0.21945 0.00036 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13:22 13:27 13:53 13:57 17:10 0:08 9:22 9:23 11:52 12:39 12:46 12:48 8:54 9:30 9:31 14:50 2:01 9:15 9:25 9:27 9:30 11:13 7:22 14:45 14:46 6:40 14:59 7:07 14:59 15:00 7:15 14:55 14:52 7:35 15:12 9:54 9:58 10:00 18 24 1038 1846 71 24 1323 2 3046 5 26 4 193 3 554 1 3 1487 1 2 1206 3 1 1759 671 3314 1 2 1443 4 2649 443 1 1 499 4 472 1 2 460 495 4 457 1 4 2 42.91 166.40 2474.29 4400.33 492.28 57.21 9173.01 4.77 21119.42 120.60 180.27 96.48 1338.16 2.46 3841.16 2.38 7.15 10310.10 0.82 4.77 8361.79 2.46 2.38 12196.01 1599.47 22977.60 0.82 4.77 10005.03 3.28 18366.82 10685.39 2.38 0.82 1189.47 3.28 1125.11 0.82 1.64 1096.51 1179.94 3.28 1089.36 0.82 9.53 13.87 0.00644 0.02496 0.37114 0.66005 0.07384 0.00858 1.37595 0.00072 3.16791 0.01809 0.02704 0.01447 0.20072 0.00037 0.57617 0.00036 0.00107 1.54652 0.00012 0.00072 1.25427 0.00037 0.00036 1.82940 0.23992 3.44664 0.00012 0.00072 1.50075 0.00049 2.75502 1.60281 0.00036 0.00012 0.17842 0.00049 0.16877 0.00012 0.00025 0.16448 0.17699 0.00049 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10:16 10:30 11:05 11:06 15:33 15:34 19:22 22:21 6:32 7:57 7:58 7:59 9:05 9:06 7:27 9:43 1443 3 57 1081 168 124 649 985 756 1555 69 8 145 50 129 83 2 2 936 47 48 30 2 137 839 38 891 13 25 2 85 14 35 1 4 1 228 179 491 85 1 1 66 1 168 136 1184.16 2.46 135.87 7495.11 7839.01 8452.42 30282.85 23758.71 5241.72 3706.67 56.62 6.56 118.99 119.19 894.42 2002.00 1.64 13.87 22576.80 112.03 39.39 24.62 1.64 326.57 5817.20 31.18 731.17 10.67 59.59 13.87 2050.24 97.07 83.43 0.82 3.28 2.38 1580.84 4317.57 22910.44 5794.00 46.66 24.12 457.61 0.82 137.86 324.18 0.17762 0.00037 0.02038 1.12427 1.17585 1.26786 4.54243 3.56381 0.78626 0.55600 0.00849 0.00098 0.01785 0.01788 0.13416 0.30030 0.00025 0.00208 3.38652 0.01681 0.00591 0.00369 0.00025 0.04899 0.87258 0.00468 0.10968 0.00160 0.00894 0.00208 0.30754 0.01456 0.01251 0.00012 0.00049 0.00036 0.23713 0.64764 3.43657 0.86910 0.00700 0.00362 0.06864 0.00012 0.02068 0.04863 150 100 200 100 100 200 300 600 500 600 500 400 300 400 500 400 500 400 300 200 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4/4/97 4/4/97 4/4/97 4/4/97 4/4/97 4/5/97 4/5/97 4/6/97 4/7/97 4/12/97 4/12/97 11:59 13:02 13:03 14:36 15:41 15:43 17:34 18:34 19:58 20:12 20:30 21:38 23:56 4:52 10:49 2:34 15:17 0:59 11:41 18:36 19:58 2:42 3:12 12:56 17:05 9:11 9:21 9:23 9:31 9:16 9:22 9:29 9:32 9:37 11:08 11:13 11:16 11:20 11:24 11:28 18:17 18:22 8:50 14:41 19:28 20:30 136 1503 1 48 65 2 111 60 84 14 18 68 138 296 357 945 763 582 642 39 82 404 28 583 249 966 10 2 8 6 6 7 3 5 91 5 3 4 4 4 32 5 868 54 27 62 111.60 3582.72 0.82 39.39 154.94 13.87 7566.28 2799.65 5725.83 653.25 434.17 471.48 3328.63 13811.59 8611.02 44094.44 18403.95 4035.29 1530.34 32.00 195.46 2801.13 194.14 1389.70 1726.44 23300.42 69.33 4.77 6.56 4.92 14.30 48.53 72.36 233.30 6202.98 233.30 72.36 27.73 9.53 3.28 26.26 11.92 712.30 44.31 22.16 147.79 0.01674 0.53741 0.00012 0.00591 0.02324 0.00208 1.13494 0.41995 0.85887 0.09799 0.06513 0.07072 0.49929 2.07174 1.29165 6.61417 2.76059 0.60529 0.22955 0.00480 0.02932 0.42017 0.02912 0.20846 0.25897 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