History of Pore Pressure Build Up and Slope Instability in Mud-Dominated Sediments of Ursa Basin, Gulf of Mexico Continental Slope R. Urgeles, J. Locat, D.E. Sawyer, P.B. Flemings, B. Dugan, and N.T.T. Binh Abstract The Ursa Basin, at ~1,000 m depth on the Gulf of Mexico continental slope, contains numerous Mass Transport Deposits (MTDs) of Pleistocene to Holocene age. IODP Expedition 308 drilled three sites through several of these MTDs and encompassing sediments. Logs, sedimentological and geotechnical data were collected at these sites and are used in this study for input to basin numerical models. The objective of this investigation was to understand how sedimentation history, margin architecture and sediment properties couple to control pore pressure build-up and slope instability at Ursa. Measurements of porosity and stress state indicate that fluid overpressure is similar at the different sites (in the range of 0.5–0.7) despite elevated differences in sedimentation rates. Modeling results indicate that this results from pore pressure being transferred from regions of higher to lower overburden along an underlying more permeable unit: the Blue Unit. Overpressure started to develop at ~53 ka, which induced a significant decrease in FoS from 45ka, especially where overburden is lower. Keywords Submarine landslides • pore pressure • basin modeling • slope instability • scientific drilling R. Urgeles () Institute of Marine Sciences, Spanish National Research Council (CSIC) e-mail: urgeles@icm.csic.es J. Locat Université Laval, Dept. of Geology and Geological Engineering, Québec G1K 7P4, QC, Canada D.E. Sawyer and P.B. Flemings University of Texas at Austin, Jackson School of Geosciences, 1 University Station C1100, Austin, TX 78712-0254, USA B. Dugan Rice University, Department of Earth Science, 6100 Main Street, Houston, Texas 77005, USA N.T.T. Binh Durham University, Department of Earth Sciences, Science Labs, Durham DH1 3LE, UK D.C. Mosher et al. (eds.), Submarine Mass Movements and Their Consequences, Advances in Natural and Technological Hazards Research, Vol 28, © Springer Science + Business Media B.V. 2010 179 180 1 R. Urgeles et al. Introduction Pleistocene sedimentation in the Gulf of Mexico from the Mississippi River is characterized by rapid sedimentation upon a mobile salt substrate (Worrall and Snelson 1989). Offshore Texas and Western Louisiana, individual slope minibasins are surrounded by elevated salt highs (Pratson and Ryan 1994) producing a remarkable hummocky topography. This morphology is obscured in front of the Mississippi delta, where sedimentation has been very rapid, exceeding 25 m ky−1 (Expedition 308 Scientists 2005). Ursa Basin (~150 km due south of New Orleans, Louisiana, USA) lies in ~1,000 m of water (Fig. 1). From bottom to top, the Pleistocene to Holocene sedimentary sequence in Ursa Basin consists of: (1) the lower Mississippi Canyon Blue Unit, a late Pleistocene, sand-dominated, “ponded fan” (Winker and Booth 2000; Sawyer et al., 2007), (2) a mud dominated channel-levee assemblage with dramatic alongstrike variations in thickness and (3) a mud drape deposited during the last ~20 ky (Fig. 2; Flemings et al. 2006). The mudstone package, belonging to the eastern Elevation (m) –500 –600 –700 28.4N –800 –900 –1000 28.3N –1100 –1200 –1300 28.2N –1400 –1500 –1600 28.1N –1700 –1800 –1900 28N –2000 60° 27.9N 40° 20° 89.3W 89.2W 89.1W 89W 88.9W 0° –140° –100° –60° Fig. 1 Detailed swath bathymetry (US national archive for multibeam bathymetric data) shaded relief of the Mars Ridge (eastern levee of the Mississippi Canyon) showing location of Ursa drill sites U1322, U1324 and seismic line shown in Fig. 2. Profuse evidence of mass-wasting processes is evident. Inset shows location History of Pore Pressure and Slope Instability in Ursa Basin 1.4 181 U1324 1km 1.6 TWT (s) U1322 1.8 2.0 2.2 NE 2.2 SW 1.4 U1324 1km Hemipelagic Drape Subunit Id Seafloor U1322 2.0 Slump Blocks Unit I Slope Failure 2 East Levee Unit II TWT (s) Southwest Pass Canyon 1.8 Slope Failure 1B Unit II Unit I Distal Le vee 1.6 Slope Failure 1A Top Blue West Levee Core Top Blue 2.2 Ursa Canyon Blue Unit East Levee Base Blue 2.2 SW Base Blue NE Fig. 2 Top. Seismic cross-section (for location see Fig. 1). Bottom. Interpreted cross-section. The sand-prone Blue Unit has been incised by a channel-levee complex and then overlain by a thick and heavily slumped hemipelagic mudstone wedge that thickens to the west (left). The Blue Unit sands are correlated to a distinct seismic facies. The thickness of the hemipelagic mudstone above the Blue Unit does not change significantly in the north-south direction. Major lithostratigraphic units identified during IODP Exp. 308 are labeled for correlation with Figs. 3–5. Seismic section reproduced with permission of Shell Exploration and Production Company (After Flemings et al. 2006) margin of the larger channel-levee system of the Mississippi Canyon, has Mass Transport Deposits (MTDs) that record failure of the margin during the Pleistocene (Figs. 1 and 2; Flemings et al., 2006; Sawyer et al., 2007). Holocene failures have also been mapped all along the Gulf of Mexico, with the largest ones originating from Ursa Basin (Fig. 1; see also McAdoo et al. 2000). Ursa Basin is of economic interest because of its prolific oilfields, which are currently being exploited in the nearby tension leg platforms of Mars and Ursa. Geohazard characterization is therefore essential for safe offshore activities. For the purpose of this paper, we use data from two boreholes (Figs. 1–3) acquired during IODP expedition 308 182 R. Urgeles et al. Fig. 3 Stripe of seismic profile with major reflectors labeled and lithologic log (MTDs in red, non-failed sediments in green) for drill sites U1324 and U1322 (see also Expedition 308 Scientists 2005). Logs of physical properties correspond from left to right to: (1) Median grain size (red line) and grain size fraction abundance; (2) Undrained shear strength as determined from shipboard motorized vane tests and trends for Cu•(g’z)−1 ratios of 0.1, 0.3 and 0.5; (3) Plastic limit (red), liquid limit (cyan) and shipboard measured water content (blue) and (4) Overpressure determined from Skempton’s (1957) eq. (blue line), porosity vs. stress relationships (green line with dots), preconsolidation pressures measured in oedometer tests, DVTPP (blue inverted triangles and T2P (green inverted triangles) piezometers and 1-D modeling results (red line) History of Pore Pressure and Slope Instability in Ursa Basin 183 (Expedition 308 Scientists 2005, Flemings et al. 2006), including Logging While Drilling (LWD), measurements of physical properties and geotechnical analysis performed on whole round samples. The aim of this paper is to document how pressure, stress, and geology couple to control fluid migration on Ursa Basin, illuminate the controls on slope stability and understand the timing of sedimentation and slumping. 1.1 Methods To accomplish the objectives stated above a laboratory testing program was established, which included grain size analysis using a Coulter LS100 laser diffractometer and Atterberg Limits determined using a British Fall cone device (Feng et al. 2001), isotropically consolidated undrained (CIU) triaxial tests, and uniaxial incremental loading tests (see also Urgeles et al. 2007). The data resulting from these tests are here discussed together with IODP Expedition 308 Shipboard data (Expedition 308 Scientists 2005; Flemings et al. 2006), including visual core descriptions, moisture and density data, vane shear and pocket penetrometer strength determinations and in-situ pore pressure measurements using the DVTPP and T2P piezoprobes (see Flemings et al. 2008; Long et al. 2008 for further details on these measurements). In this paper, pore pressure is most often described in terms of overpressure (l), defined as: l = (P – Ph)/(sv -Ph) (1) where P is pore pressure Ph is hydrostatic pressure and sv is lithostatic or total stress. A value of 0 implies hydrostatic conditions, a value of 1 means pore pressure equals the lithostatic stress. 2-D margin simulations along the transect of Fig. 2 were carried using the Finite Element Software “BASIN” (Bitzer et al. 1996, 1999), which allows for stratigraphic, tectonic, hydrodynamic and thermal evolution to be modeled. In “BASIN” compaction and fluid flow are coupled through the consolidation equation and the nonlinear form of the equation of state for porosity, allowing non-equilibrium compaction and overpressuring to be calculated. 2 Results In Ursa basin, Site U1324 (on the upslope part) was drilled to more than 600 mbsf and site U1322 (downslope) to about 250 mbsf (Fig. 2). The sediments drilled at these sites included several MTDs (5 at Site U1324 and 9 at U1322). On seismic reflection profiles the thicker MTDs are characterized by discontinuous and/or transparent to low amplitude reflections. MTDs show increased resistivity and density in logs, presumably due to transport-induced compaction, while folds, some with half-wavelengths of a meter or more, are apparent both in cores and logs. 184 R. Urgeles et al. Despite differences in visual aspect and physical properties the sediment composition shows no major differences between MTDs and non-failed deposits. Sediment grain size analyses indicate that at both sites the sediments are made of ~30% clay and ~70% silt, the mean grain size is about 4 microns, and these values remain fairly constant with depth (Fig. 3). The sediment plastic limit is at about 35%, while the liquid limit decreases from 70% to 55% in the upper 10 m of sediment column and then becomes relatively constant around the latter value (Fig. 3). The sediment water content moves from values at or higher than the liquid limit for the upper 20 mbsf and then gradually decreases to values close to the plastic limit at 100– 125 mbsf. From that depth downhole the water content sticks to the plastic limit (IL =0%). On the Casagrande plot, samples from both sites plot on a line parallel and above the A-line identifying the sediment as clays of high plasticity. The vane shear and pocket penetrometer data show similar values of undrained shear strength at equivalent depth for both drill sites, ranging from a few kPa near the seafloor to about 250 kPa at about 600 mbsf (Fig. 3). CIU triaxial tests (see Urgeles et al. 2007) were carried out on samples obtained from MTDs and non-failed deposits at Sites U1324 and U1322. Prior to shearing the samples were isotropically consolidated. Some of the samples were brought into the normally consolidated state others remained in the overconsolidated state prior to shearing. However, on the stress path plot the whole set of tests show relatively consistent results with a friction angle of 28° and little cohesion of around 7 kPa. Using consolidation theory, overpressure was estimated from pre-consolidation pressures determined from incremental loading consolidation tests, and measurements of pore pressure using the DVTPP and T2P pressure probes (Fig. 3; see also Flemings et al. 2006, 2008; Long et al. 2008). Despite significant scatter, results appear to show overpressures in the range of 0.6 to 0.8, suggesting that non-equilibrium consolidation occurs in Ursa Basin (Fig. 3). The consolidation tests results also provide parameters that can be used in basin and interstitial fluid flow modeling. These parameters include the initial porosity, hydraulic conductivity and specific storage (see Table 1 and Fig. 4). Consolidation tests were performed in sediments of the Southwest Pass Canyon Formation and hemipelagic sediments above (corresponding to Lithostratigraphic Units I and II in the cores; see Fig. 2 for equivalence). Unfortunately, no samples could be retrieved Table 1 Parameters for basin and fluid flow modeling Upper SW Pass Recent Canyon (%) Fm. (%) Sand 0 Silt 0 Hemipelagic 100 drape SW Pass 0 Canyon Fm. Lower SW Pass Blue Canyon Ursa Canyon unit Fm. (%) Fm. (%) (%) Initial Initial specific Grain Hydraulic porosity storage density conductivity (%) (m−1) (kg/m3) (m/s) 0 0 0 0 20 0 10 (Core 40) 30 (Core 30) 0 (Core 40) 70 20 0 60 70 80 0.001 0.004 0.09 2,650 2,650 2,650 1 × 10−8 5 × 10−8 3 × 10−9 100 80 60 (Core 30) 10 75 0.07 2,650 3 × 10−9 History of Pore Pressure and Slope Instability in Ursa Basin 185 Fig. 4 Permeability and specific storage vs. effective stress derived from incremental loading consolidation experiments used to derive the set of initial parameters for 2-D basin modeling within “BASIN”. For location of experiments see Fig. 3 from the Blue Unit and central sandier part of the Ursa Canyon, as drilling within these formations implied a high risk for shallow water flow sands. Parameters for Sand and Silt which, according to industry well-log data (Sawyer et al. 2007) are a significant constituent of the Blue Unit and core of the Ursa Canyon are taken from the literature (Table 1; Reed et al. 2002). 3 Discussion As shown above, overpressure estimates and measurements performed in various ways, indicate that an overpressure of 0.6–0.8 is present in Ursa Basin (Fig. 3; see Flemings et al. 2006; Long et al. 2008). Despite the significant scatter observed in these estimates and measurements, all data suggest that similar overpressure exists at Sites U1324 and U1322. 1-D modeling results however indicate that given the sedimentation rates at both sites, which are much higher at Site U1324 than at U1322, there should be a significantly higher overpressure at Site U1324 (Fig. 3). Mean sedimentation rates at Site U1324 are 9.6 m/ky with peaks exceeding 25 m/ky, while at site U1322 mean sedimentation rates are 3.5 m/ky with peaks at 16 m/ky (Expedition 308 Scientists 2005). According to 1-D modeling results, these sedimentation rates imply that overpressure should be around 0.8 at Site U1324 and only around 0.2 at U1322 (Fig. 3). Using the 2-D modeling software “BASIN” the margin stratigraphic evolution and the resulting interstitial fluid flow pattern and overpressure generation can be better understood (Fig. 5). For this experiment initial and boundary conditions are: (1) no flow occurs at the basement and model sides, (2) initial conditions are hydrostatic, (3) no subsidence occurs and (4) the initial (decompacted) thickness of the various formations can be estimated from van Hinte’s (1978) equation: Fig. 5 Margin stratigraphic and hydrodynamic modeling with “BASIN” at final simulated present-day conditions. (a) Margin stratigraphy (red MTDs) according to seismic profile depicted in Fig. 2. (b) Fractional porosity. (c) Log hydraulic conductivity (m/s). (d) Excess pore pressure (kPa). (e) Overpressure (l) History of Pore Pressure and Slope Instability in Ursa Basin T0 = (1 − Φ N )TN (1 − Φ 0 ) 187 (2) where jN, TN are the present-day porosity and thickness (assuming vp: 1,600 m/s; Flemings et al. 2005) and j0, T0 are the original porosity and thickness. MTDs removed/added little overburden because the failed masses did not evacuate the failing zone and therefore have little to no effect in both 1-D and 2-D simulations. The margin stratigraphic evolution is modeled since deposition of the Blue Unit, roughly 100 ka ago, along the seismic line shown in Fig. 2. Margin modeling is performed using a set of initial sediment types and their corresponding hydraulic conductivity and specific storage shown in Table 1. Each stratigraphic unit is made of a mixture of the different sediment types (Table 1), which result in averaged initial physical properties (see Bitzer et al. 1999 for further details). The “BASIN” simulations show that, as it should be expected, porosity and hydraulic conductivity decrease with time and depth along the section (Fig. 5b, c). However, high hydraulic conductivities ~10−8.5 m/s remain in the sandier Blue Unit and in the core of the Ursa Canyon after the whole sedimentary package has been deposited. The hydraulic conductivities on the muddy sediment wedge above the Blue Unit are between 1 to almost 3 orders of magnitude lower (Fig. 5c). The modeled porosity and hydraulic conductivities result in fluid flow from West to East along the Blue Unit and Ursa Canyon and a vertically upward migration on the overlying muddy formations. The model also shows that pore pressures above hydrostatic started to develop at ~53 ka with onset of the Southwest Pass Canyon sedimentation, which deposited more clayey material (Fig. 5d). Due to the higher sedimentation rates excess pore pressure develops further near Site U1324, where the overburden is thicker. The more permeable nature of the lower Blue Unit allows fluid to flow laterally from Site U1324 to U1322 inducing higher excess pore pressures at this Site than should be expected given the sedimentation rate at this location (Fig. 5). This effect is better seen in terms of overpressure (l). Figure 5e clearly shows similar, or sometimes higher, overpressure at Site U1322 compared to Site U1324. The 2-D simulation results agree better with the estimated and observed overpressures at both Sites. It also shows that the higher overpressures concentrate within the depth range of 100 to 200–350 mbsf. Overpressure build up in Ursa Basin has probably played an important role in slope failure generation. Major additional controls in slope stability in Ursa Basin include variations in slope angle due to depositional processes and salt tectonics. Presently the regional slope in Ursa Basin does not exceeds 2°, and local slopes rarely exceed 4°. The Gulf of Mexico is an area where large seismic ground motions are not probable (Petersen et al. 2008). No large earthquakes have been reported recently with the exception of two 5 < Mw < 6 earthquakes (Preliminary Determination of Earthquakes (PDE) Catalog 1973–present). Recent studies, suggest however that these are a result of shallow slippage (most probably large-scale gravitational sliding) rather than deep-seated tectonic processes (Nettles 2007, Dewey and Dellinger 2008), and therefore we will not consider seismic ground motions as potential triggering mechanism. The main characteristics of MTDs in Ursa Basin are: (a) they occur on a more or less uniform slope, (b) the failure planes are subparallel to the seafloor and (c) the 188 R. Urgeles et al. length of the failure surfaces is large compared to the failure thickness (Figs. 1 and 2). Therefore, it is considered that an “infinite slope” approach provides a first approximation to the margin stability. Urgeles et al. (2007) show the results of a drained slope stability evaluation in Ursa Basin using the parameters identified from the CIU triaxial tests (c = 7 kPa, F = 28°). Urgeles et al. (2007) show that for the range of overpressures observed in Ursa Basin and the present regional slope gradient, the slope can be considered safe. For failure to occur overpressure values close to 0.9 are needed, or slope gradients need to approach angles between 7.5 an 11° depending on the overpressure. Using undrained shear strengths the slope appears in the stable to metastable conditions (Urgeles et al. 2007). Using the output from the overpressure simulations it is also possible to investigate the margin stability conditions during the last 100 ky. Figure 6a shows that the margin remained relatively stable with a Factor of Safety (FoS) ~6 until ~45 ka, and then an overall decrease in margin stability occurred. Despite several oscillations, the Fig. 6 (a) Ursa Basin FoS at Sites U1324 and U1322 using the output from overpressure (l) simulations performed with “BASIN”. (b) Depth to the potential failure surface (depth of lowest FoS) at Sites U1324 and U1322 History of Pore Pressure and Slope Instability in Ursa Basin 189 margin’s FoS (Fig. 6a) has remained lower at the site of lower overburden (Site U1322) until about 20 ka, in agreement with core evidence showing that most failures are found at this Site. From 20 ka onwards the FoS became similar for both sites. Using the output from the overpressure simulations it is also possible to investigate the depth at which failure could most likely have occurred. Figure 6b indicates that the reduction in the margin’s FoS was accompanied by an increase in thickness of the potentially unstable sedimentary package. It is also found that the potentially unstable sediment package is thinner at Site U1322 than at Site U1324 in agreement with the thicker MTD found at the latter site (Fig. 6b). 4 Conclusions Physical property data and geotechnical measurements indicate that sediments from Ursa Basin are largely overpressured, inducing effective stresses that are only 25% of those that would exist under hydrostatic conditions. At Sites U1324 and U1322 similar overpressures are found despite large differences in sedimentation rates. Modeling simulations show that this most probably results from excess pore pressure being laterally transferred through the Blue Unit from places of high to low overburden. The highest overpressures concentrate in the depth range between ~50 and 250– 350 mbsf. 2-D modeling results indicate that pore pressure started to build up with onset of deposition of the South West Pass Canyon Formation ~53 ka ago. Basic regional slope stability analysis suggests that the slope is stable under current conditions. For the slope to fail it is necessary that the overpressure exceeds a value of ~0.9 or the regional slope steepens above 7°. Using the output from the margin stratigraphic and hydrodynamic evolution it is found that the margin’s fluid flow pattern induced lower stability at the foot of the slope where sedimentation rates are lower. The margin stability reduced significantly from ~45 ka onwards. The decrease in margin’s stability was accompanied by increased thickness of the potential failure package. Acknowledgments This research used samples and data provided by the Integrated Ocean Drilling Program (IODP). Research was funded by the Spanish “Ministerio de Educación y Ciencia” (grant CGL2005-24154-E) and University of Barcelona through a “Promotion and Intensification of the Research Activity” grant (56552-EK00A-790 01). Helpful reviews were provided by E. Doyle and V. Lykousis. References Bitzer K (1996) Modeling consolidation and fluid flow in sedimentary basins. Comput Geosci 22: 467–478 Bitzer K (1999) Two-dimensional simulation of clastic and carbonatesedimentation, consolidation, subsidence, fluid flow, heat flow and solute transport during the formation of sedimentary basins. Comput Geosci 25: 431–447 Dewey JW, Dellinger JA (2008) Location of the Green Canyon Event (Offshore Southern Louisiana) of February 10, 2006. U. S. Geol Surv Open-File Rep 2008–1184 190 R. Urgeles et al. Expedition 308 Scientists (2005) Gulf of Mexico hydrogeology—overpressure and fluid flow processes in the deepwater Gulf of Mexico: slope stability, seeps, and shallow-water flow. Integrat Ocean Drill Prog Prel Rept 308. doi:10.2204/iodp.pr.308.2005 Feng T-W (2001) A linear log d–log w model for the determination of consistency limits of soils. Can Geotech J 38: 1335–1342 Flemings PB, Behrmann JH, John CM, Expedition 308 Scientists (2006) Proc Integr Ocean Drill Prog 308. IODP Management International, Inc., College Station TX, doi:10.2204/iodp. proc.308.2006 Flemings PB, Long H, Dugan B, et al. (2008) Pore pressure penetrometers document high overpressure near the seafloor where multiple submarine landslides have occurred on the continental slope, offshore Louisiana, Gulf of Mexico. Earth Planet Sci Lett 269: 309–325 Long H, Flemings PB, Dugan B, et al. (2008) Data report: penetrometer measurements of in situ temperature and pressure, IODP Expedition 308. In: Flemings, P.B., Behrmann, J.H., John, C.M., and the Expedition 308 Scientists (eds.), Proceedings of Integration Ocean Drilling Program 308: College Station, TX doi:10.2204/iodp.proc.308. 203.2008 McAdoo BG, Pratson LF, Orange DL (2000) Submarine landslide geomorphology, US continental slope. Mar Geol 169: 103–136 National Oceanic and Atmospheric Administration (2009) US national archive for multibeam bathymetric data. http://www.ngdc.noaa.gov/mgg/bathymetry. Accessed 15 April 2009 Nettles M (2007) Analysis of the 10 February 2006 Gulf of Mexico Earthquake from Global and Regional Seismic Data: 2007 Offshore Tech Conf abs 19099 Petersen MD, Frankel AD, Harmsen SC, et al. (2008) Documentation for the 2008 Update of the United States National Seismic Hazard Maps: U.S. Geol Surv Open-File Rep 2008–1128 Pratson LF, Ryan WBF (1994) Pliocene to Recent infilling and subsidence of intraslope basins offshore Louisiana. Am Assoc Pet Geol Bull 78: 1483–1506 Reed AH, Briggs KB, Lavoie DL (2002) Porometric properties of Siliciclastic Marine Sand: a comparison of traditional Laboratory Measurements with image analysis and effective medium modeling. IEEE J Ocean Eng 27: 581–592 Sawyer DE, Flemings PB, Shipp C, et al. (2007) Seismic geomorphology, lithology, and evolution of the late Pleistocene Mars-Ursa Turbidite region, Mississippi Canyon Area, Northern Gulf of Mexico. Am Assoc Pet Geol Bull 91: 215–234 Skempton AW (1957) Discussion: the planning and design of the new Hong Kong airport. Proc Inst of Civil Eng 7: 305–307 Urgeles R, Locat J, Dugan B (2007) Recursive failure of the Gulf of Mexico continental slope: Timing and causes. In: Lykoussis V, Sakellariou D, Locat J (eds.), Submarine Mass Movements and Their Consequences. Springer, Dordrecht U.S. Geological Survey (2009) Preliminary Determination of Earthquakes (PDE) Catalog (1973–present). http://www.neic.cr.usgs.gov. Accessed 15 April 2009 van Hinte JE (1978) Geohistory analysis—application of micropaleontology in exploration geology. Am Assoc Pet Geol Bull 62: 201–222 Winker CD, Booth JR (2000) Sedimentary dynamics of the salt-dominated continental slope, Gulf of Mexico: integration of observations from the seafloor, near-surface, and deep subsurface. Deep-Water Reservoirs of the World: Proc GCSSEPM 20th An Res Conf, pp. 1059–1086 Worrall DM, Snelson S (1989) Evolution of the northern Gulf of Mexico, with emphasis on Cenozoic growth faulting and the role of salt. In: Bally AW, Paler AR (eds.), The Geology of North America—An Overview (Vol A). Geological Society America, Boulder, CO