Use of higher moments for the description of upscaled, process independent relative permeabilities

SPE Journal

Volumn 2, Issue 4, 1997, Pages 474-484

  Durlofsky, Louis J ^a,b  

^a CHEVRON ENERGY TECHNOLOGY COMPANY   (United States)

^b MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; MECHANICAL PERMEABILITY; PETROLEUM GEOLOGY; PRESSURE EFFECTS; SATURATION (MATERIALS COMPOSITION); VISCOUS FLOW;

PSEUDORELATIVE PERMEABILITIES;

PETROLEUM RESERVOIR EVALUATION;

EID: 0031332178     PISSN: 1086055X     EISSN: None     Source Type: Journal    
DOI: 10.2118/37987-PA     Document Type: Article

References (25)

1. Barker, J.W. and Dupouy, P.: "An Analysis of Dynamic Pseudo Relative Permeability Methods," Proceedings of the 5th European Conference on the Mathematics of Oil Recovery, Leoben, Austria, Sept. 1996.
2. Pickup, G.E. and Sorbie, K.S.: "The Scaleup of Two-Phase Flow in Porous Media Using Phase Permeability Tensors," SPEJ, 1, 369-381, Dec. 1996.
3. Christie, M.A., Mansfield, M., King, P.R., Barker, J.W., and Culverwell, I.D.: "A Renormalisation-Based Upscaling Technique for WAG Floods in Heterogeneous Reservoirs," paper SPE 29127 presented at the 1995 SPE Symposium on Reservoir Simulation, San Antonio, Feb. 12-15.
4. Barker, J.W. and Thibeau, S.: "A Critical Review of the Use of Pseudorelative Permeabilities for Upscaling," SPERE, 12, 138-143, May 1997.
5. Durlofsky, L.J., Jones, R.C., and Milliken, W.J.: "A Nonuniform Coarsening Approach for the Scale Up of Displacement Processes in Heterogeneous Porous Media," Advances in Water Resources, 20, 335-347, 1997.
6. Durlofsky, L.J., Behrens, R.A., Jones, R.C., and Bernath, A.: "Scale Up of Heterogeneous Three Dimensional Reservoir Descriptions," SPEJ, 1, 313-326, Sept. 1996.
7. Bourgeat, A.: "Homogenized Behavior of Two-Phase Flows in Naturally Fractured Reservoirs with Uniform Fractures Distribution," Comp. Meth. Appl. Mech. Eng., 47, 205-216, 1984.
8. Saez, A.E., Otero, C.J., and Rusinek, I.: "The Effective Homogeneous Behavior of Heterogeneous Porous Media," Transport in Porous Media, 4, 213-238, 1989.
9. Amaziane, B.: "Global Behavior of Compressible Three-Phase Flow in Heterogeneous Porous Media," Transport in Porous Media, 10, 43-56, 1993.
10. Ekrann, S., Dale, M., Langaas, K., and Mykkeltveit, J.: "Capillary Limit Effective Two-Phase Properties for 3D Media," paper SPE 35493 presented at the 1996 European 3-D Reservoir Modeling Conference, Stavanger, April 16-17.
11. Yortsos, Y.C., Satik, C., Bacri, J.-C., and Salin, D.: "Large-Scale Percolation Theory of Drainage," Transport in Porous Media, 10, 171-195, 1993.
12. Lee, J., Kasap, E., and Kelkar, M.G.: "Development and Application of a New Upscaling Technique," paper SPE 30712 presented at the 1995 SPE Annual Technical Conference and Exhibition, Dallas, Oct. 22-25.
13. Kumar, A.T.A. and Jerauld, G.R.: "Impacts of Scale-up on Fluid Flow from Plug to Gridblock Scale in Reservoir Rock," paper SPE/DOE 35452 presented at the 1996 Symposium on Improved Oil Recovery, Tulsa, April 21-24.
14. Chen, W.H., Durlofsky, L.J., Engquist, B., and Osher, S.: "Minimization of Grid Orientation Effects Through Use of Higher Order Finite Difference Methods," SPE Advanced Technology Series, 1, 43-52, 1993.
15. Muggeridge, A.H.: "Generation of Effective Relative Permeabilities from Detailed Simulation of Flow in Heterogeneous Porous Media," Reservoir Characterization II, L.W. Lake et al., eds., Academic Press, San Diego, 1991.
16. Christie, M.A.: "Upscaling for Reservoir Simulation," JPT, 48, 1004-1010, Nov. 1996.
17. Hewett, T.A. and Behrens, R.A.: "Considerations Affecting the Scaling of Displacements in Heterogeneous Permeability Distributions," SPEFE, 8, 258-266, Dec. 1993.
18. Chang, Y.C. and Mohanty, K.K.: "Stochastic Description of Multiphase Flow in Heterogeneous Porous Media," paper SPE 28443 presented at the 1994 SPE Annual Technical Conference and Exhibition, New Orleans, Sept. 25-28.
19. Guzman, R.E., Giordano, D., Fayers, J., Godi, A., and Aziz, K.: "The Use of Dynamic Pseudo Functions in Reservoir Simulation," Fifth International Forum on Reservoir Simulation, Muscat, Oman, Dec. 10-14, 1994.
20. Malik, M.A.: Geostatistical Reservoir Characterization and Scale-Up of Permeability and Relative Permeability, PhD Thesis, University of Texas at Austin, 1996.
21. Graham, W. and McLaughlin, D.: "Stochastic Analysis of Nonstationary Subsurface Solute Transport 1. Unconditional Moments," Water Resour. Res., 25, 215-232, 1989.
22. Neuman, S.P.: "Eulerian-Langrangian Theory of Transport in Space-Time Nonstationary Velocity Fields: Exact Nonlocal Formalism by Conditional Moments and Weak Approximation," Water Resour. Res., 29, 633-645, 1993.
23. Quintard, M. and Whitaker, S.: "Two-Phase Flow in Heterogeneous Porous Media I: The Influence of Large Spatial and Temporal Gradients," Transport in Porous Media, 5, 341-379, 1990.
24. Ahmadi, A. and Quintard, M.: "Large-Scale Properties for Two-Phase Flow in Random Porous Media," J. Hydrology, 183, 69-99, 1996.
25. Durlofsky, L.J.: "Coarse Scale Models of Two Phase Flow in Heterogeneous Reservoirs: Volume Averaged Equations and Their Relationship to Existing Upscaling Techniques," in review.