Two-phase fluid flow through fractured porous media with deformable matrix

Water Resources Research

Volumn 44, Issue 7, 2008, Pages

  Khalili, N ^a  

^a UNIVERSITY OF NEW SOUTH WALES   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

AIR PRESSURES; BALANCE EQUATIONS; CLASSICAL THEORY; CROSS-COUPLINGS; DOUBLE POROSITY; EFFECTIVE STRESS; FRACTURE WATER; FRACTURED POROUS MEDIA; FULLY-COUPLED; GOVERNING EQUATIONS; MACROSCOPIC APPROACH; MATRIX; MATRIX DEFORMATION; MATRIX DISPLACEMENT; PORE-AIR; PORE-WATER PRESSURES; PORO-ELASTICITY; POROSITY MEDIA; TWO-FLUID; TWO-PHASE FLUID FLOW;

AIR; ATMOSPHERIC PRESSURE; DEFORMATION; FRACTURE; POROSITY; POROUS MATERIALS; SPECIAL EFFECTS; WELL TESTING;

FLOW OF FLUIDS;

ATMOSPHERIC PRESSURE; FLUID FLOW; MASS; MATRIX; MOMENTUM; NUMERICAL MODEL; POROELASTICITY; POROSITY; POROUS MEDIUM; SATURATION; TWO PHASE FLOW;

EID: 63149178094     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/2007WR006555     Document Type: Review

References (40)

1. Aifantis, E. C. (1977), Introducing a multiporous medium, Dev. Mech., 8, 209-211.
2. Aifantis, E. C. (1979), On the response of fractured rocks, Dev. Mech., 8, 249-253.
3. Aifantis, E. C. (1980), On the problem of diffusion in solids, Acta Mech., 37, 265-296.
4. Auriault, J. L., and C. Boutin (1993), Deformable porous media with double porosity, Transp. Porous Media, 10, 153-159.
5. Bai, M., D. Elsworth, and J. C. Roegiers (1993), Modeling of naturally fractured reservoirs using deformation dependant flow mechanism, Int. J. Rock Mech. Miner. Sci. Geomech. Abstr., 30(7), 1185-1191.
6. Bai, M., F. Meng, J. C. Roegiers, and Y. Abousleiman (1998), Modeling two-phase fluid flow and rock deformation in fractured porous media, in Poromechanics, edited by J. F. Thimus et al., pp. 333-338, A. A. Balkema, Rotterdam.
7. Barenblatt, G. I., I. P. Zheltov, and I. N. Kochina (1960), Basic concepts in the theory of seepage of homogeneous liquids in fractured rocks (strata), Prikl. Mat. Mekh., 24(5), 1286-1303.
8. Bear, J. (1972), Dynamics of Fluids on Porous Media, Elsevier, New York.
9. Biot, M. A. (1941), General theory of three-dimensional consolidation, J. Appl. Phys., 12, 155-164.
10. Bishop, A. W. (1959), The principle of effective stress, Tek. Ukebl., 106, 859-863.
11. Brooks, R. H. and A. T. Corey (1964), Hydraulic properties of porous media, Hydrol. Pap. 3, Colo. State Univ., Fort Collins, Colo.
12. Chen, H. Y. and L. W. Teufel (1997), Coupling fluid flow and geomechanics in dual-porosity modeling of naturally fractured reservoirs, paper presented at Annual Technical Conference and Exhibition, Soc. of Pet. Eng., San Antonio, Tex.
13. Duguid, J. O., and P. C. Y. Lee (1977), Flow in fractured porous media, Water Resour. Res., 13(3), 558-566.
14. Huyakorn, P. S., B. H. Lester, and J. W. Mercer (1983), A finite element technique for modeling transport in fractured porous media: 1. Single species transport, Water Resour. Res., 19(3), 841-854.
15. Khaled, M. Y., D. E. Beskos, and E. C. Aifantis (1984), On the theory of consolidation with double porosity - III. A finite element formulation, Int. J. Numer. Anal. Methods Geomech., 8, 101-123.
16. Khalili, N. (2003), Coupling effects in double porosity media with deformable matrix, Geophys. Res. Lett., 30(22), 2153, doi:10.1029/2003GL018544.
17. Khalili, N., and M. H. Khabbaz (1998), A unique relationship for χ for the determination of the shear strength of unsaturated soil, Geotechnique, 48(5), 681-687.
18. Khalili, N., and S. Valliappan (1996), Unified theory of flow and deformation in double porous media, Eur. J. Mech. A Solids, 15(2), 321-336.
19. Khalili, N., S. Valliappan, and C. F. Wan (1999), Consolidation of fractured clays, Geotechnique, 49(1), 75-89.
20. Khalili, N., M. H. Khabbaz, and S. Valliappan (2000), An effective stress based numerical model for hydro-mechanical analysis in unsaturated porous media, Comput. Mech., 26, 174-184.
21. Khalili, N., F. Geiser, and G. E. Blight (2004), Effective stress in unsaturated soils: Review with new evidence, Int. J. Geomech., 4(2), 115-126.
22. Khalili, N., R. Witt, L. Laloui, L. Vulliet, and A. Koliji (2005), Effective stress in double porous media with two immiscible fluids, Geophys. Res. Lett., 32, L15309, doi:10.1029/2005GL023766.
23. Khalili, N., M. A. Habte, and S. Zargarbashi (2008), A fully coupled flow deformation model for cyclic analysis of unsaturated soils including hydraulic and mechanical hystereses, Comput. Geotech., in press.
24. Khalili-Naghadeh, N., and S. Valliappan (1991), Flow through fractured porous media with deformable matrix: Implicit formulation, Water Resour. Res., 27(7), 1703-1709.
25. Lewis, R. W., and H. R. Ghafouri (1997), A novel finite element double porosity model for multiphase flow through deformable fractured porous media, Int. J. Numer. Anal. Methods Geomech., 21, 789-816.
26. Long, J. C. S., J. S. Remer, C. R. Wilson, and P. A. Witherspoon (1982), Porous media equivalents for networks of discontinuous fractures, Water Resour. Res., 18(3), 645-658.
27. Loret, B., and N. Khalili (2000), A three-phase model for unsaturated soils, Int. J. Numer. Anal. Methods Geomech., 24, 893-927.
28. Loret, B., and E. Rizzi (1999), Strain localization in fluid saturated anisotropic elastic-plastic porous media with double porosity, J. Mech. Phys. Solids, 47, 503-530.
29. Nair, R., Y. Abousleiman, and M. Zaman (2005), Modeling fully coupled oil-gas flow in a dual-porosity medium, Int. J. Geomech., 5(4), 326-338.
30. Nur, A., and J. D. Byerlee (1971), An exact effective stress law for elastic deformation of rocks with fluids, J. Geophys. Res., 76(26), 6414-6419.
31. Nuth, M., and L. Laloui (2008), Effective stress concept in unsaturated soils: Clarification and validation of a unified framework, Int. J. Numer. Anal. Meth. Geomech., 32, 771-801, doi:10.1002/nag.645.
32. Pao, W. K. S., and R. W. Lewis (2002), Three-dimensional finite element simulation of three-phase flow in a deforming fractured reservoir, Comput. Methods Appl. Mech. Eng., 191, 2631-2659.
33. Skempton, A. W. (1961), Effective stress in soils, concrete and rocks, in Pore Pressure and Suction in Soil, pp. 4-16, Butterworth, London.
34. Tuncay, K., and M. Y. Corapcioglu (1996), Wave propagation in fractured porous media, Transp. Porous Media, 23, 237-258.
35. Valliappan, S., and N. Khalili-Naghadeh (1990), Flow through fractured porous media with deformable matrix, Int. J. Numer. Method. Eng. Sci., 29, 1079-1094.
36. Wang, H. F., and J. G. Berryman (1996), On constitutive equations and effective stress principles for deformable, double-porosity media, Water Resour. Res., 32(12), 3621-3622.
37. Warren, J. B., and P. J. Root (1963), The behavior of naturally fractured reservoirs, Trans. Soc. Min. Eng. AIME, 228, 245-255.
38. Wilson, C. R., P. A. Witherspoon, J. C. S. Long, R. M. Galbraith, A. O. DuBois, and M. J. McPherson (1983), Large-scale hydraulic conductivity measurements in fractured granite, Int. J. Mech. Min. Sci. Geomech. Abstr., 20(6), 269-276.
39. Wilson, R. K., and E. C. Aifantis (1982), On the theory of consolidation with double porosity - II, Int. J. Eng. Sci., 20(9), 1009-1035.
40. Zimmerman, R. W. (1991), Compressibility of Sandstone, Elsevier, New York.