Three-Phase Relative Permeability Modeling in the Simulation of WAG Injection
- Lin Zuo (Stanford University) | Yuguang Chen (Chevron Energy Technology Company) | Zhou Dengen (Chevron Energy Technology Company) | Jairam Kamath (Chevron Energy Technology Company)
- Document ID
- Society of Petroleum Engineers
- SPE Reservoir Evaluation & Engineering
- Publication Date
- August 2014
- Document Type
- Journal Paper
- 326 - 339
- 2014.Society of Petroleum Engineers
- 5.4 Enhanced Recovery
- three-phase relative permeability, water alternating gas, gas injection
- 7 in the last 30 days
- 775 since 2007
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We propose a new workflow to evaluate the effect of three-phase relative permeability models on the simulation of water-alternating-gas (WAG) injection: define a root-mean-square error to quantify differences between the models; introduce a high-uncertainty region on a ternary saturation diagram; and map simulation saturation/time paths in this ternary diagram. The display of the saturation paths, along with the high-uncertainty region, allows us to systematically analyze and understand the effect of three phase models on recovery predictions. We apply the workflow to immiscible and miscible WAG injection, simulated by use of black-oil and compositional models. Both 2D homogeneous cases (with various reservoir conditions and injection scheduling) and realistic 3D field sector models are considered. We show that the three-phase relative permeability models can have a strong effect on recovery predictions for immiscible WAG injection, and the effect depends on initial conditions and displacement history. For compositional simulation of multicontact miscible WAG injection, the effect of three-phase models depends on the size of the three-phase-flow region before the miscibility fully develops. Simulation of carbon dioxide (CO2) flooding on a 3D field sector model reveals that the uncertainty in recovery predictions because of the various three-phase models is secondary compared with other sources of uncertainty (such as the input two-phase relative permeability data), and this may be the case in other field studies.
|File Size||1 MB||Number of Pages||14|
Al-Dhahli, A., van Dijke, R., and Geiger, S. 2012. Pore-to-Reservoir Modeling of Three-Phase Flow Processes in Mixed-Wet Carbonate Reservoirs. Oral presentation given at the 13th European Conference on the Mathematics of Oil Recovery, Biarritz, France, 10–13 September.
Aziz, K., and Settari, A. 1979. Petroleum Reservoir Simulation. London, UK: Elsevier.
Baker, L. E. 1988. Three-Phase Relative Permeability Correlations. Presented at SPE Enhanced Oil Recovery Symposium, Tulsa, Oklahoma, 16–21 April. SPE-17369-MS. http://dx.doi.org/10.2118/17369-MS.
Blunt, M. J. 2000. An Empirical Model for Three-Phase Relative Permeability. SPE J. 5 (4): 435–445. SPE-67950-PA. http://dx.doi.org/10.2118/67950-PA.
Blunt, M. J., Jackson, M. D., Piri, M., et al. 2002. Detailed Physics, Predictive Capabilities and Macroscopic Consequences for Pore-Network Models of Multiphase Flow. Adv. Water Resour. 25 (8–12): 1069–1089. http://dx.doi.org/10.1016/S0309-1708(02)00049-0.
Christensen, J. R., Stenby, E. H., and Skauge, A. 2001. Review of WAG field experience. SPE Res Eval & Eng 4 (2): 97–106. SPE-71203-PA. http://dx.doi.org/10.2118/71203-PA.
Delshad, M., and Pope, G. 1989. Comparison of the Three-Phase Oil Relative Permeability Model. Transport Porous Med. 4 (1): 59–83. http://dx.doi.org/10.1007/BF00134742.
Fayers, F. J., and Matthews, J. D. 1984. Evaluation of Normalized Stone's Methods for Estimating Three-Phase Relative Permeabilities. SPE J. 24 (2): 223–232. SPE-11277-PA. http://dx.doi.org/10.2118/11277-PA.
Guzman, R. E., Giordano, D., Fayers, F. J., et al. 1994. Three-Phase Flow in Field-Scale Simulations of Gas and WAG Injections. Presented at European Petroleum Conference, London, UK, 25–27 October. SPE-28897-MS. http://dx.doi.org/10.2118/28897-MS.
Hustad, O. S., and Browning, D. J. 2010. A Fully Coupled Three-Phase Model for Capillary Pressure and Relative Permeability for Implicit Compositional Reservoir Simulation. SPE J. 15 (4): 1009–1025. SPE-125429-PA. http://dx.doi.org/10.2118/125429-PA.
Jerauld, G. R. 1997. General three-phase relative permeability model for Prudhoe Bay. SPE Res Eng 12 (4): 255–263. SPE-36178-PA. http://dx.doi.org/10.2118/36178-PA.
Juanes, R. 2003. Relative Permeabilities in Reservoir Simulation. Class Notes for PE 224 Advanced Reservoir Simulation, Department of Petroleum Engineering, Stanford University, California.
Killough, J. E. 1976. Reservoir Simulation With History-Dependent Saturation Functions. SPE J. 16 (1): 37–48. SPE-5106-PA. http://dx.doi.org/10.2118/5106-PA.
Krevor, S. C. M., Pini, R., Zuo, L., et al. 2012. Relative Permeability and Trapping of CO2 and Water in Sandstone Rocks at Reservoir Conditions. Water Resour. Res. 48 (2). http://dx.doi.org/10.1029/2011WR010859.
Larsen, J. A., and Skauge, A. 1998. Methodology for Numerical Simulation With Cycle-Dependent Relative Permeabilities. SPE J. 3 (2): 1221–1230. SPE-38456-PA. http://dx.doi.org/10.2118/38456-PA.
Oak, M. J. 1990. Three-Phase Relative Permeability of Water-Wet Berea. Presented at SPE/DOE Enhanced Oil Recovery Symposium, Tulsa, Oklahoma, 22–25 April. SPE-20183-MS. http://dx.doi.org/10.2118/20183-MS.
Oak, M. J., Baker, L. E., and Thomas, D. C. 1990. Three-Phase Relative Permeability of Berea Sandstone. J Pet Technol 42 (8): 1054–1061. SPE-17370-PA. http://dx.doi.org/10.2118/17370-PA.
Spiteri, J. E., and Juanes, R. 2006. Impact of Relative Permeability Hysteresis on the Numerical Simulation of WAG Injection. J. Pet. Sci. Eng. 50 (2): 115–139. http://dx.doi.org/10.1016/j.petrol.2005.09.004.
Stone, H. L. 1973. stimation of Three-Phase Relative Permeability And Residual Oil Data. J Can Pet Technol 12 (4): 53–61. PETSOC-73-04-06. http://dx.doi.org/10.2118/73-04-06.
Stone, H. L. 1970. Probability Model for Estimating Three-Phase Relative Permeability. J Pet Technol 23 (2): 214–218. SPE-2116-PA. http://dx.doi.org/10.2118/2116-PA.
Todd, M. R., and Longstaff, W. J. 1972. The Development, Testing, and Application Of a Numerical Simulator for Predicting Miscible Flood Performance. J Pet Technol 24 (7): 874–882. SPE-3484-PA. http://dx.doi.org/10.2118/3484-PA.
Yuan, C., and Pope, G. A. 2012. A New Method To Model Relative Permeability in Compositional Simulators To Avoid Discontinuous Changes Caused by Phase-Identification Problems. SPE J. 17 (4): 1221–1230. SPE-142093-PA. http://dx.doi.org/10.2118/142093-PA.