A Separate-Phase Drag Model and a Surrogate Approximation for Simulation of the Steam-Assisted-Gravity-Drainage Process
- Juan C. Padrino (Los Alamos National Laboratory) | Xia Ma (Los Alamos National Laboratory) | W. Brian VanderHeyden (BP America) | Duan Z. Zhang (Los Alamos National Laboratory)
- Document ID
- Society of Petroleum Engineers
- SPE Journal
- Publication Date
- April 2016
- Document Type
- Journal Paper
- 364 - 379
- 2016.Society of Petroleum Engineers
- Reservoir simulation, Flow in porous media, Multiphase flow, Steam-Assisted Gravity Drainage, Thermal recovery
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- 150 since 2007
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General, ensemble phase-averaged equations for multiphase flows were specialized for the simulation of the steam-assisted-gravity-drainage (SAGD) process. In the average momentum equation, fluid/solid and fluid/fluid viscous interactions are represented by separate force terms. This equation has a form similar to that of Darcy’s law for multiphase flow but augmented by the fluid/fluid viscous forces. Models for these fluid/fluid interactions are suggested and implemented into the numerical code CartaBlanca. Numerical results indicate that the model captures the main features of the multiphase flow in the SAGD process, but the detailed features, such as plumes, are missed. We find that viscous coupling among the fluid phases is important.
Advection time scales for the different fluids differ by several orders of magnitude because of vast viscosity differences. Numerically resolving all these time scales is time consuming. To address this problem, we introduce a steam-surrogate approximation to increase the steam-advection time scale, while keeping the mass and energy fluxes well-approximated. This approximation leads to approximately a 40-fold speedup in execution speed of the numerical calculations at the cost of a few percentage errors in the relevant quantities.
|File Size||1 MB||Number of Pages||16|
Ahmed, T.H. 2006. Reservoir Engineering Handbook, third edition (Chapter 5). Burlington, Massachusetts, USA: Elsevier/Gulf Professional.
Aziz, K. and Settari, A. 1979. Petroleum Reservoir Simulation. London: Applied Science Publishers Ltd.
Azom, N. P. and Srinivasan, S. 2009. Mechanistic Modeling of Emulsion Formation and Heat Transfer During the Steam-Assisted Gravity Drainage (SAGD) Process. Presented at the SPE Annual Technical Conference and Exhibition, New Orleans, USA, 4–7 October. SPE-124930-MS. http://dx.doi.org/10.2118/124930-MS.
Butler, R. M. 1991. Thermal Recovery of Oil and Bitumen (Appendix 5). Englewood Cliffs, New Jersey: Prentice-Hall, Inc.
Chung, K. H. and Butler, R. M. 1987. Geometrical Effect of Steam Injection on the Formation of Emulsions in the Steam-Assisted Gravity Drainage Process. Presented at the SPE Annual Technical Meeting, Calgary, 7–10 June. SPE-873822-MS. http://dx.doi.org/10.2118/873822-MS.
Ezeuko, C. C., Wang, J., and Gates, I. D. 2012. Investigation of Emulsion Flow in SAGD and ES-SAGD. Presented at the SPE Heavy Oil Conference Canada, Calgary, 12–14 June. SPE-157830-MS. http://dx.doi.org/10.2118/157830-MS.
Irani, M. and Ghannadi, S. 2013. Understanding the Heat-Transfer Mechanism in the Steam-Assisted Gravity-Drainage (SAGD) Process and Comparing the Conduction and Convection Flux in Bitumen Reservoirs. SPE J. 18 (1): 134–145. SPE-163079-PA. http://dx.doi.org/10.2118/163079-PA.
Kalaydjian, F. 1990. Origin and Quantification of Coupling Between Relative Permeabilities for Two-Phase Flows in Porous Media. Transport in Porous Media 5 (3): 215–229. http://dx.doi.org/10.1007/BF00140013.
Raats, P. A. C. and Klute, A. 1968a. Transport in Soils: The Balance of Mass. Soil Sci. Soc. Amer. Proc. 32 (2): 161–166. http://dx.doi.org/10.2136/sssaj1968.03615995003200020008x.
Raats, P. A. C. and Klute, A. 1968b. Transport in Soils: The Balance of Momentum. Soil Sci. Soc. Amer. Proc. 32 (4): 452–456.
Sasaki, K., Akibayashi, S., Yazawa, N. et al. 2001a. Experimental Modeling of the SAGD Process—Enhancing SAGD Performance With Periodic Stimulation of the Horizontal Producer. SPE J. 6 (1): 89–97. SPE-69742-PA. http://dx.doi.org/10.2118/69742-PA.
Sasaki, K., Akibayashi, S., Yazawa, N. et al. 2001b. Numerical and Experimental Modelling of the Steam Assisted Gravity Drainage (SAGD) Process. J Can Pet Technol 40 (1): 44–50. SPE-99-21-PA. http://dx.doi.org/10.2118/99-21-PA.
VanderHeyden, W. B., Dendy, E. D., Livescu, D. et al. 2002. Carta-Blanca—An Object-Oriented Jacobian-Free Newton-Krylov Solver Environment for Multiphase Flow With Phase Change. In Los Alamos National Laboratory Report, LA-UR-02-2305.
Yang, D., Currier, R. P., and Zhang, D. Z. 2009. Ensemble Phase Averaged Equations for Multiphase Flows in Porous Media. Part 1: The Bundle-of-Tubes Model. Int. J. Multiphase Flow 35: 628–639. http://dx.doi.org/10.1016/j.ijmutiphaseflow.2009.03.002.
Zarcone, C. and Lenormand, R. 1994. Détermination Expérimentale Du Couplage Visqueux Dans Les Ecoulements Diphasiques En Milieu Poreux. C. R. Acad. Sci. Paris. Série II 318: 1429–1435.
Zhang, D. Z. and Prosperetti, A. 1997. Momentum and Energy Equations for Disperse Two-Phase Flow and Their Closure for Dilute Suspensions. Int. J. Multiphase Flow 23 (3): 425–453. http://dx.doi.org/10.1016/S0301-9322(96)00080-8.
Zhang, D. Z., VanderHeyden, W. B., Zou, Q. et al. 2007. Pressure Calculations in Disperse and Continuous Multiphase Flows. Int. J. Multiphase Flow 33: 86–100. http://dx.doi.org/10.1016/j.ijmultiphaseflow.2006.07.006.
Zhang, D. Z. 2009. Ensemble Phase Averaged Equations for Multiphase Flows in Porous Media. Part 2: A General Theory. Int. J. Multiphase Flow 35: 640–649. http://dx.doi.org/10.016/j.ijmultiphaseflow.2009.03.004.