HYDROLOGIC AND HYDRAULIC MODELING Hydrologic Precipitation & Basin Parameters, Flood Frequency Analysis Hydraulic Energy & Momentum Relationships HYDROLOGIC MODELING Water Budget Analysis Droughts Water Supply Reservoir Operations Rule Curve Hydrologic Routings Overland Flow (Rational Formula: Q = CIA) River Channel (Muskingkum, Straddle Stagger, etc.) Flood Frequencies e.g., 50 & 100 Year Floods (log Pearson Type III distribution) HYDRAULIC MODELING Steady State Step Backwater Computations (FEMA FlRM Flood Studies) Unsteady State Dam Breach Analyses, Detail Flood Studies, Dynamic Riverine Conditions HYDRAULIC MODELING HISTORY Pre 1970 Paper Spreadsheets Physical Models Logan Martin at Univ of AL Farley Nuclear Plant at Auburn Univ US Army Corps of Engineers Waterways Experiment Station (WES) at Vicksburg, MS Post 1970 Fortran 66 US Army Corps of Engineers Hydrologic Engineering Center (HEC) at Davis, CA HEC-1 (Basin Overland Flow) HEC HMS HEC-2 (Steady State River Routings) HEC RAS (Also Unsteady State) HEC-5 (Reservoir Operations) RES SIM HEC-6 (Sediment Transport) NEXGEN EXCEL Spreadsheets HYDRAULIC MODELING HISTORY (Continued) Post 1977 1976 Teton Dam 1977 Laurel Run Dam 1977 Taccoa Falls Dam Idaho 14 Killed Pennsylvania 40 Killed Georgia 39 Killed HYDRAULIC MODELING HISTORY (Continued) Post 1977 DAMBRK UNET DWOPER BRANCH FLDWAV Dr. Danny Fread National Weather Service (NWS) Silver Springs, MD Dr. Robert Barkau at Colorado State HEC RAS HYDROLOGIC MODELING EXAMPLE – (Water Budget) R L HARRIS Impact of 200 CFS Minimum Flow during Peak Season 795 793 Rule Curve Historical Average +200 CFS Peak Season Drought Contingency 791 789 Elev (msl) 787 785 783 781 779 777 775 1-Jan 1-Feb 1-Mar 1-Apr 1-May 1-Jun 1-Jul 1-Aug 1-Sep 1-Oct 1-Nov 1-Dec HYDROLOGIC MODELING EXAMPLE – (Routings) Black Warrior River Flow (cfs) 140000 Smith Inflow 120000 Smith Discharge 100000 Arkadelphia Sayre 80000 Bankhead Inflow 60000 Gaged Inflow 40000 Poly. (Bankhead Inflow ) 3 per. Mov. Avg. (Smith Inflow ) 20000 0 1 6 11 16 21 26 31 36 41 46 51 56 61 66 71 Hours Feb 5-7 2004 HYDROLOGIC MODELING EXAMPLE – (Flood Frequency Analysis) R L HARRIS Reservoir Inflow 500 YR 250 YR 50 YR 25 YR 10 YR 5 YR 2 YR 1 YR 125,000 100 YR (1924-2003) Peak Inflow (cfs) 100,000 75,000 50,000 25,000 100.00 10.00 1.00 0.10 Exceedance Computed Expected 5% 95% 80 Records HYDRAULIC MODELING EXAMPLE - (HEC-RAS Steady State) HEC-RAS ROUTINGS OF LAY RESERVOIR Elevation (msl) Narrows Waxahatchee Creek Cedar Creek Yellowleaf Creek SEGCO Steam Plant 420 Southern R.R. Paper Mill Talladega Creek Tallasseehatchee Crk. Hwy 280 Bridge 425 LAY DAM S.C.L. R.R. LOGAN MARTI Kelly Creek 430 HEC-RAS 100 YR 1979 32.9K APC Easement APC Fee 415 410 405 400 395 100 95 90 85 80 75 70 Stream Miles Above Mouth of Coosa River 65 60 55 50 HYDRAULIC MODELING EXAMPLE - (DAMBRK) R L HARRIS DAM BREACH STAGE AND TIME HYDROGRAPHS May 2003 Flood MARTIN DAM 740.00 26.0 720.00 24.0 700.00 22.0 680.00 20.0 660.00 18.0 640.00 16.0 Page 13 620.00 14.0 Time to Peak w/ Failure w/o Failure 600.00 12.0 580.00 10.0 560.00 8.0 540.00 6.0 520.00 4.0 500.00 2.0 480.00 Time to Peak Elevation (hr) R L HARRIS DAM 140 130 120 110 100 Tallapoosa River Mile 90 80 70 60 FIGURE 12 HYDRAULIC MODELING EXAMPLE - (HEC-RAS Unsteady State) RS = 1.98 .05 IS .035 .05 630 Legend 629 Ground Bank Sta 628 627 626 625 624 623 Elevation (ft) 622 621 620 619 618 617 616 615 614 613 612 611 610 100 200 300 400 500 600 700 800 Station (ft) RS = 5.01 .05 IS .035 650 Legend 649 Ground Bank Sta 648 647 646 645 644 643 Elevation (ft) 642 641 640 639 638 637 636 635 634 633 632 631 630 0 100 200 300 400 Station (ft) 500 600 700 HYDRAULIC MODELING EXAMPLE - (HEC-RAS Unsteady State) PROFILE OF THE TALLPOOSA RIVER From R L Harris Dowstream to the Wadley Gauge 665 660 655 650 645 Elevation (msl) 640 635 630 625 620 615 610 605 600 595 0 1 2 3 4 5 6 7 8 Miles Above Wadley Gauge 9 10 11 12 13 14 HYDRAULIC MODELING EXAMPLE - (HEC-RAS Unsteady State) R L HARRIS GENERATION SCHEDULE 8/25/2000 0 1 2 FRIDAY 3 4 5 6 7 R L HARRIS GENERATION SCHEDULE 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 0 1 2 SATURDAY 3 4 5 3 4 5 3 4 5 3 4 5 3 4 5 3 4 5 3 4 5 3 4 5 6 7 8 428 CFS 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 8/26/2000 0 1 2 SATURDAY 3 4 5 6 7 8 9/7/2003 170 CFS 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 0 1 2 SUNDAY 6 7 8 209 CFS 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 8/27/2000 0 1 2 SUNDAY 3 4 5 6 7 8 9/8/2003 201 CFS 9 0 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 1 2 MONDAY 6 7 8 2,322 CFS 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 8/28/2000 0 1 2 MONDAY 3 4 5 6 7 8 9/9/2003 323 CFS 9 0 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 1 2 TUESDAY 6 7 8 1,196 CFS 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 8/29/2000 0 1 2 TUESDAY 3 4 5 6 7 8 9/10/2003 140 CFS 9 0 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 WEDNESDAY 6 7 8 1,653 CFS 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 1 2 8/30/2000 0 1 2 WEDNESDAY 3 4 5 6 7 8 9 9/11/2003 182 CFS 0 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 THURSDAY 6 7 1,123 CFS 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 1 2 8/31/2000 0 1 2 THURSDAY 3 4 5 6 7 8 9/12/2003 253 CFS 9 0 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 FRIDAY 6 7 1,014 CFS 1 2 1 2 9/1/2000 0 1 2 9/6/2003 753 CFS 8 1 2 FRIDAY 3 4 5 6 7 9/13/2003 491 CFS 8 9 0 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 1 2 SATURDAY 6 7 8 2,461 CFS 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 HYDRAULIC MODELING EXAMPLE - (HEC-RAS Unsteady State) River: Tallapoosa River Reach: Harris to Wadley RS: 0.00 607 Legend 3 GEOTUBES 5 GEOTUBES EXIST RIVER 606 Stage (ft) 605 604 603 602 601 25 26 27 28 29 Aug2000 Time 30 31 01 02 01Sep2000 HYDRAULIC MODELING EXAMPLE - (HEC-RAS Unsteady State) 2 MACHINE HOURS 605.00 604.50 604.00 WSE (ft) 603.50 603.00 602.50 602.00 601.50 601.00 0:00 w/o Pulse Exist w/ Pulse Exist w/o Pulse 3 GEO w/ Pulse 3 GEO 3:00 6:00 9:00 12:00 15:00 18:00 21:00 0:00 HYDRAULIC MODELING EXAMPLE - (HEC-RAS Unsteady State) 2 MACHINE HOURS 3,000 2,500 FLOW (cfs) 2,000 1,500 1,000 500 w/o Pulse Exist w/ Pulse Exist w/o Pulse 3 GEO w/ Pulse 3 GEO 0:00 3:00 6:00 9:00 12:00 15:00 18:00 21:00 0:00 HYDRAULIC MODELING EXAMPLE - (HEC-RAS Unsteady State) 2 MACHINE HOURS 3.00 2.50 VELOCITY (fps) 2.00 1.50 1.00 0.50 w/o Pulse Exist w/ Pulse Exist w/o Pulse 3 GEO w/ Pulse 3 GEO 0:00 3:00 6:00 9:00 12:00 15:00 18:00 21:00 0:00 HYDRAULIC MODELING EXAMPLE - (HEC-RAS Unsteady State) 618 6.00 617 5.00 616 4.00 Elevation Velocity 615 3.00 614 2.00 0 200 400 Flow at Notch (cfs) 600 800 Velocity (fps) Elevation (msl) GeoTube at RM 1.98 HYDRAULIC MODELING EXAMPLE - (HEC-RAS Unsteady State) R L H arris Dam downs tream t o W adley Plan: 1) U SS A UG00 3G 3/ 4/ 2004 2) U SS AUG00 E X 3/4/2004 Harris to Wadley Legend Power T otal 01SEP2000 1045 - USS AUG00 3G Power T otal 01SEP2000 1045 - USS AUG00 EX 1.4 1.2 Power Total (lb/ft s) 1.0 0.8 0.6 0.4 0.2 0.0 0 2 4 6 8 Main Channel Distance (mi ) 10 12 14 HYDRAULIC MODELING EXAMPLE - (HEC-RAS Unsteady State) R L H arris Dam downs tream to W adley Plan: 1) U SS AUG00 3G 5.87207* 5.83471* 5.79735* 5.76 5.722* 5.684* 5.646* 5.608* 5.57* 5.532* 5.494* 5.456* 5.418* 5.38 5.342* 5.304* 5.266* 5.228* 5.19* 5.152* 5.114* 5.076* 5.038* 5.00 3/ 4/2004 2) Legend WS 31AUG2000 2045 - USS AUG00 3G WS Ground Bank Sta Ground 4.945* 4.89 4.85* 4.81 4.77230* 4.73461* 4.69692* 4.65923* 4.62153* 4.58384* 4.54615* 4.50846* 4.47076* 4.43307* 4.39538* 4.35769* 4.32 4.28153* 4.24307* 4.20461* 4.16615* 4.12769* 4.08923* 4.05076* 4.01230* 3.97384*