Two-phase flow in porous media: Property identification and model validation

AIChE Journal

Volumn 44, Issue 11, 1998, Pages 2337-2350

  Kulkarni, Raghavendra ^a   Ted Watson, A ^a,c   Nordtvedt, Jan Erik ^b   Sylte, André ^b  

^a Texas AandM University   (United States)

^b RF Rogaland Research   (Norway)

^c GeoQuest Interp Computing Services   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DISPLACEMENT; DYNAMIC BEHAVIOR; TWO-PHASE FLOW;

ARTICLE; CAPILLARY PRESSURE; FLOW KINETICS; MATHEMATICAL MODEL; PERMEABILITY; POROSITY; SIMULATION; VISCOSITY;

EID: 0032466573     PISSN: 00011541     EISSN: None     Source Type: Journal    
DOI: 10.1002/aic.690441102     Document Type: Article

References (47)

1. Amaefule, J., and L. Handy, "The Effect of Interfacial Tensions on Relative Oil/Water Permeabilities of Consolidated Porous Media," Soc. of Pet. Engs. J., 22, 371 (1982).
2. Archer, J., and S. Wong, "Use of a Reservoir Simulator to Interpret Laboratory Waterflood Data," Soc. of Pet. Engs. J., 163, 343 (1973).
3. Bard, Y., Nonlinear Parameter Estimation, Academic Press, New York (1974).
4. Buckley, S. E., and M. C. Leverett, "Mechanisms of Fluid Displacement in Sands," Trans. AIME, 146, 107 (1942).
5. Chang, Y., K. Mohanty, D. Huang, and M. Honarpour, "The Impact of Wettability and Core-Scale Heterogeneities on Relative Permeability," J. of Pet. Sci. and Eng., 18, 1 (1997).
6. Chardaire-Riviere, C., G. Chavent, J. Jaffre, J. Liu, and B. J. Bourbiaux, "Simultaneous Estimation of Relative Permeability and Capillary Pressure," SPE Form. Eval., 7, 283 (1992).
7. Chen, S., F. Qin, K.-H. Kim, and A. T. Watson, "NMR Imaging of Flow in Porous Media," AIChE J., 39, 925 (1993).
8. Chen, S., F. Qin, and A. T. Watson, "Determination of Fluid Saturations During Multiphase Flow Experiments Using NMR Imaging Techniques," AIChE J., 40, 1238 (1994).
9. Constantinides, G., and A. Payatakes, "Network Simulation of Steady-State Two-Phase Flow in Consolidated Porous Media," AIChE J., 42, 369 (1996).
10. Cook, R., and C.-L. Tsai, "Residuals in Nonlinear Regression," Biometrika, 72, 23 (1985).
11. Draper, N. R., and H. Smith, Applied Regression Analysis, Wiley, New York (1981).
12. Dullien, F., Porous Media Fluid Transport and Pore Structure, Academic Press, New York (1992).
13. Fulcher, R., T. Ertekin, and C. Stahl, "Effect of Capillary Number and Its Constituents on Two-Phase Relative Permeability Curves," J. Pet. Tech., 37, 249 (1985).
14. Johnson, E. F., D. P. Bossler, and V. O. Naumann, "Calculation of Relative Permeability From Displacement Experiments," Trans. AIME, 216 (1959).
15. Kerig, P. D., and A. T. Watson, "Relative Permeability Estimation From Displacement Experiments: An Error Analysis," SPE Res. Eng., 1, 175 (1986).
16. Kerig, P. D., and A. T. Watson, "A New Algorithm for Estimating Relative Permeability Estimation From Displacement Experiments," Soc. Pet. Eng. J., 2, 103 (1987).
17. Kulkarni, R. N., and A. T. Watson, "A Robust Technique for Quantification of NMR Imaging Data," AIChE J., 43, 2137 (1997).
18. Larson, R., "Derivation of Generalized Darcy Equations for Creeping Flow in Porous Media," IECF, 20, 132 (1981).
19. Leverett, M. C., "Flow of Oil-Water Mixtures Through Unconsolidated Sands," Trans. AIME, 142 (1940).
20. Leverett, M. C., "Capillary Behavior in Porous Sands," Trans. AIME, 152 (1941).
21. Mejia, G. M., K. K. Mohanty, and A. T. Watson, "Use of In-Situ Saturation Data in Estimation of Two-Phase Flow Functions in Porous Media," J. Pet. Sci. Eng., 12, 233 (1995).
22. Mejia, G. M., A. T. Watson, and J. E. Nordtvedt, "Estimation of Three-Phase Flow Functions in Porous Media," AIChE J., 42, 233 (1996).
23. Nordtvedt, J. E., G. Mejia, P. Yang, and A. T. Watson, "Estimation of Capillary Pressure and Relative Permeability Functions Centrifuge Experiments," SPE Res. Eng., 8, 292 (1993).
24. Nordtvedt, J., H. Urkedal, A. T. Watson, E. Ebeltoft, K. Koltveit, K. Langaas, and I. Øxnevad, "Estimation of Relative Permeability and Capillary Pressure Functions Using Transient and Equilibrium Data From Steady-State Experiments," Proc. Int. Symp. of Soc. of Core Analysts, SCA 9418, Stavanger, Norway (1994).
25. Nordtvedt, J. E., and K. Kolltveit, "Capillary Pressure Curves From Centrifuge Data by Use of Spline Functions,"SPE Res. Eng., 6, 497 (1991).
26. Nordtvedt, J. E., K. Langaas, A. Sylte, H. Urkedal, and A. T. Watson, "Estimation of Three-Phase Relative Permeability and Capillary Pressure Functions," Proc. Eur. Conf. on the Mathematics of Oil Recovery (ECMOR V), 113, Leoben, Austria (Sept. 3-6, 1996).
27. Odeh, A. S., "Effect of Viscosity Ratio on Relative Permeability," Trans. AIME, 216, 346 (1959).
28. Rapoport, L., and W. Leas, "Properties of Linear Waterfloods," Trans. AIME, 198, 139 (1953).
29. Richmond, P. C., "Estimating Multiphase Flow Functions From Displacement Experiments," PhD Thesis, Texas A&M Univ., College Station (1988).
30. Richmond, P. C., and A. T. Watson, "Estimation of Multiphase Flow Functions From Displacement Experiments," SPE Reservoir Eng., 5, 121 (1990).
31. Rosenbrock, H. H., and C. Storey, Computational Techniques for Chemical Engineers, Pergamon Press, Oxford (1966).
32. Schumaker, L. L., Spline Functions: Basic Theory, Wiley, New York (1981).
33. Sigmund, P., and F. McCaffery, "An Improved Unsteady-State Procedure for Determining the Relative Permeability Characteristics of Heterogeneous Media," SPEJ, 169, 15 (1979).
34. Slattery, J., "Single-Phase Flow through Porous Media," AIChE J., 15, 866 (1969).
35. Slattery, J., "Two-Phase Flow through Porous Media," AIChE J., 16, 345 (1970).
36. Tao, T. M., and A. T. Watson, "Accuracy of JBN Estimates of Relative Permeability: Part 1 - Error Analysis," Soc. Pet. Eng. J., 24, 209 (1984).
37. Watson, A. T., and C. T. Chang, "Characterizing Porous Media with NMR Methods," Prog, in Nucl. Magn. Res. Spectr., 31, 343 (1997).
38. Watson, A. T., P. D. Kerig, and R. W. Otter, "A Test for Detecting Rock Property Nonuniformities in Core Sample," Soc. of Pet. Eng. J., 25, 909 (1985).
39. Watson, A. T., H. S. Lane, and J. M. Gatens, III, "History Matching With Cumulative Production Data," J. Pet. Technol., 42, 96 (1990).
40. Watson, A. T., P. C. Richmond, P. D. Kerig, and T. M. Tao, "A Regression-Based Method for Estimating Relative Permeabilities from Displacement Experiments," SPE Res. Eng., 3, 953 (1988).
41. Wellington, S. L., and H. J. Vinegar, "X-Ray Computerized Tomography," J. of Pet. Tech., 39, 885 (1987).
42. Whitaker, S., "Advances in Theory of Fluid Motion in Porous Media," Ind. Eng. Chem., 61(12), 14-28 (1969).
43. Whitaker, S., "Flow in Porous Media: A Theoretical Derivation of Darcy's Law," Transport in Porous Media, 16, 3 (1986a).
44. Whitaker, S., "Flow in Porous Media: II. The Governing Equations for Immiscible, Two-Phase Flow," Transport in Porous Media, 16, 105 (1986b).
45. Wilkinson, D., "Percolation Model of Immiscible Displacement in the Presence of Buoyancy Forces," Phys. Rev. A., 30, 520 (1984).
46. Withjack, E. M., "Computed Tomography for Rock-Properry-Determination and Fluid-Flow Visualization," SPE Form. Eval., 3, 696 (1988).
47. Withjack, E. M., S. K. Graham, and C.-T. Yang, "Determination of Heterogeneities and Miscible Displacement Characteristics in Corefloods by CT Scanning,"SPE Form. Eval., 6, 447 (1991).