A nonuniform coarsening approach for the scale-up of displacement processes in heterogeneous porous media

Advances in Water Resources

Volumn 20, Issue 5-6, 1997, Pages 335-347

  Durlofsky, Louis J ^a   Jones, Richard C ^a   Milliken, William J ^a  

^a CHEVRON ENERGY TECHNOLOGY COMPANY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL MODELS; MECHANICAL PERMEABILITY; POROUS MATERIALS;

DISPLACEMENT PROCESSES; NONUNIFORM COARSENING APPROACH;

FLOW OF FLUIDS;

POROUS MEDIA-FLOW THROUGH; SCALE EFFECTS;

EID: 0031260610     PISSN: 03091708     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0309-1708(96)00053-x     Document Type: Article

References (16)

1. Amaziane, B. Global behavior of compressible three-phase flow in heterogeneous porous media. Transport in Porous Media, 1993, 10, 43-56.
2. Amaziane, B., Bourgeat, A. & Koebbe, J. Numerical simulation and homogenization of two-phase flow in heterogeneous porous media. Transport in Porous Media, 1991, 6, 519-547.
3. Bourgeat, A. Homogenized behavior of two-phase flows in naturally fractured reservoirs with uniform fractures distribution. Comp. Meth. Appl. Mech. Eng., 1984, 47, 205-216.
4. Durlofsky, L. J. Numerical calculations of equivalent grid block permeability tensors for heterogeneous porous media. Water Resour. Res., 1991, 27, 699-708.
5. Durlofsky, L. J. Modeling fluid flow through complex reservoir beds. SPE Form. Eval., 1992, 7, 315-322.
6. Durlofsky, L. J. Representation of grid block permeability in coarse scale models of randomly heterogeneous porous media. Water Resour. Res., 1992, 28, 1791-1800.
7. Durlofsky, L. J., Milliken, W. J., Dehghani, K. & Jones, R. C. Application of a new scale up methodology to the simulation of displacement processes in heterogeneous reservoirs, SPE paper 28704 presented at the SPE International Petroleum Conference and Exhibition of Mexico, Veracruz, 1994.
8. Hewett, T. A. & Behrens, R. A. Considerations affecting the scaling of displacements in heterogeneous permeability distributions. SPE Form. Eval., 1993, 8, 258-266.
9. King, M. J. Application and analysis of tensor permeability to cross-bedded reservoirs, Proceedings of the 7th European IOR Symposium, Moscow, 1993.
10. King, P. R. The use of renormalization for calculating effective permeability. Transport in Porous Media, 1989, 4, 37-58.
11. King, P. R., Muggeridge, A. H. & Price, W. G. Renormalization calculations of immiscible flow. Transport in Porous Media, 1993, 12, 237-260.
12. Muggeridge, A. H. Generation of effective relative permeabilities from detailed simulation of flow in heterogeneous porous media. In Reservoir Characterization II, ed. L. W. Lake, H. B. Carroll & T. C. Wesson. Academic Press, San Diego, 1991.
13. Pickup, G. E., Jensen, J. L., Ringrose, P. S. & Sorbie, K. S. A method for calculating permeability tensors using perturbed boundary conditions, Proceedings of the 3rd European Conference on the Mathematics of Oil Recovery, ed. M. A. Christie et al. Delft University Press, Delft, 1992.
14. Pickup, G. E., Ringrose, P. S., Jensen, J. L. & Sorbie, K. S. Permeability tensors for sedimentary structures. Math. Geol., 1994, 26, 227-250.
15. Saez, A. E., Otero, C. J. & Rusinek, I. The effective homogeneous behavior of heterogeneous porous media. Transport in Porous Media, 1989, 4, 213-238.
16. White, C. D. & Home, R. N. Computing absolute transmissibility in the presence of fine-scale heterogeneity, SPE paper 16011 presented at the SPE Symposium on Reservoir Simulation, San Antonio, 1987.