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A dual-porosity model for waterflooding in naturally fractured reservoirs. (English) Zbl 0825.76516


MSC:

76M20 Finite difference methods applied to problems in fluid mechanics
76S05 Flows in porous media; filtration; seepage
76T99 Multiphase and multicomponent flows
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[1] Bear, J., Dynamics of Fluids in Porous Media (1988), Dover: Dover New York · Zbl 1191.76002
[2] Chavent, G.; Jaffré, J., Mathematical Models and Finite Elements for Reservoir Simulation (1986), North-Holland: North-Holland Amsterdam · Zbl 0603.76101
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[4] Peaceman, D. W., Fundamentals of Numerical Reservoir Simulation (1977), Elsevier: Elsevier New York · Zbl 0204.28001
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[6] Pirson, S. J., Performance of fractured oil reservoirs, Bull. Amer. Assoc. Petroleum Geologists, 37, 232-244 (1953)
[7] J. Appl. Math. Mech., 24, 1286-1303 (1960) · Zbl 0104.21702
[8] Warren, J. E.; Root, P. J., The behavior of naturally fractured reservoirs, Soc. Petroleum Engr. J., 3, 245-255 (1963)
[9] T. Arbogast, J. Douglas Jr. and U. Hornung, Modeling of naturally fractured reservoirs by formal homogenization techniques, to appear.; T. Arbogast, J. Douglas Jr. and U. Hornung, Modeling of naturally fractured reservoirs by formal homogenization techniques, to appear. · Zbl 0727.76110
[10] Arbogast, T.; Douglas, J.; Homung, U., Derivation of the double porosity model of single phase flow via homogenization theory, SIAM J. Math. Anal., 21 (1990), to appear.
[11] Douglas, J.; Arbogast, T., Dual porosity models for flow in naturally fractured reservoirs, (Cushman, J. H., Dynamics of Fluids in Hierarchical Porous Media (1990), Academic Press: Academic Press New York) · Zbl 0825.76516
[12] Gilman, J. R., An efficient finite-difference method for simulating phase segregation in the matrix blocks in double-porosity reservoirs, Soc. Petroleum Engrg. J., 26, 403-413 (1986)
[13] Kazemi, H.; Gilman, J. R., Improvements in simulation of naturally fractured reservoirs, Soc. Petroleum Engrg. J., 23, 695-707 (1983)
[14] Kazemi, H.; Gilman, J. R., Improved calculations for viscous and gravity displacement in matrix blocks in dual-porosity simulators, (Proceedings Ninth SPE Symposium on Reservoir Simulation, Society of Petroleum Engineers. Proceedings Ninth SPE Symposium on Reservoir Simulation, Society of Petroleum Engineers, Dallas, Texas. Proceedings Ninth SPE Symposium on Reservoir Simulation, Society of Petroleum Engineers. Proceedings Ninth SPE Symposium on Reservoir Simulation, Society of Petroleum Engineers, Dallas, Texas, Paper SPE 16010 (1987)), 193-208
[15] Sonier, F.; Souillard, P.; Blaskovich, F. T., Numerical simulation of naturally fractured reservoirs, (Proceedings 61st Annual Technical Conference and Exhibition of the Society of Petroleum Engineers. Proceedings 61st Annual Technical Conference and Exhibition of the Society of Petroleum Engineers, Dallas, Texas. Proceedings 61st Annual Technical Conference and Exhibition of the Society of Petroleum Engineers. Proceedings 61st Annual Technical Conference and Exhibition of the Society of Petroleum Engineers, Dallas, Texas, Paper SPE 15627 (1986))
[16] De Swaan, A., Theory of waterflooding in fractured reservoirs, Soc. Petroleum Engrg. J., 18, 117-122 (1978)
[17] Thomas, L. K.; Dixon, T. N.; Pierson, R. O., Fractured reservoir simulation, Soc. Petroleum Engrg. J., 23, 42-54 (1983)
[18] Arbogast, T.; Douglas, J.; Santos, J. E., Two-phase immiscible flow in naturally fractured reservoirs, (Wheeler, M. F., Numerical Simulation in Oil Recovery. Numerical Simulation in Oil Recovery, The IMA Volumes in Mathematics and its Applications, 11 (1988), Springer: Springer Berlin), 47-66 · Zbl 0699.76103
[19] Douglas, J.; Arbogast, T.; Leme, P. J.Paes, Two models for the waterflooding of naturally fractured reservoirs, (Proceedings Tenth SPE Symposium on Reservoir Simulation, Society of Petroleum Engineers. Proceedings Tenth SPE Symposium on Reservoir Simulation, Society of Petroleum Engineers, Dallas, Texas. Proceedings Tenth SPE Symposium on Reservoir Simulation, Society of Petroleum Engineers. Proceedings Tenth SPE Symposium on Reservoir Simulation, Society of Petroleum Engineers, Dallas, Texas, Paper SPE 18425 (1989)), 219-225
[20] J. Douglas Jr. and P.J. Paes Leme, A limit form of the equations for immiscible displacement in a fractured reservoir, Transport in Porous Media, to appear.; J. Douglas Jr. and P.J. Paes Leme, A limit form of the equations for immiscible displacement in a fractured reservoir, Transport in Porous Media, to appear. · Zbl 0760.76058
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