Adaptive multiscale finite-volume method for multiphase flow and transport in porous media

Multiscale Modeling and Simulation

Volumn 3, Issue 1, 2004, Pages 50-64

  Jenny, P ^a   Lee, S H ^b   Tchelepi, H A ^c  

^a ETH ZURICH   (Switzerland)

^b CHEVRON ENERGY TECHNOLOGY COMPANY   (United States)

^c STANFORD UNIVERSITY   (United States)

Author keywords

Adaptivity; Finite volume method; Multiphase flow; Multiscale physics; Subsurface flow; Upscaling

Indexed keywords

ADAPTIVE ALGORITHMS; COMPUTER SIMULATION; MATHEMATICAL MODELS; MECHANICAL PERMEABILITY; MULTIPHASE FLOW; POROUS MATERIALS;

MULTISCALE FINITE VOLUME METHOD; MULTISCALE PHYSICS; SUBSURFACE FLOW; UPSCALING;

FINITE VOLUME METHOD;

EID: 15744392935     PISSN: 15403459     EISSN: None     Source Type: Journal    
DOI: 10.1137/030600795     Document Type: Article

References (16)

1. R. Ababou, D. Mclaughlin, L. W. Gelhar, and A. F. B. Tompson, Numerical simulation of three-dimensional saturated flow in randomly heterogeneous porous media, Transp. Porous Media, 4 (1989), pp. 549-565.
2. T. Arbogast, Implementation of a locally conservative numerical subgrid upscaling scheme for two phase Darcy flow, Comput. Geosci., 6 (2002), pp. 453-481.
3. T. Arbogast and S. L. Bryant, A two-scale numerical subgrid technique for waterflood simulations, Soc. Petrol. Eng. J., 7 (2002), pp. 446-457.
4. Z. Chen and T. Y. Hou, A mixed multiscale finite element method for elliptic problems with oscillating coefficients, Math. Comp., 72 (2003), pp. 541-576.
5. M. C. H. Chien, S. T. Lee, and W. H. Chen, A new fully implicit compositional simulator, in Proceedings of the 8th SPE Symposium on Reservoir Simulation, Dallas, TX, 1985, pp. 7-30.
6. M. A. Christie and M. J. Blunt, Tenth SPE comparative solution project: A comparison of upscaling techniques, SPE Reservoir Eval. & Eng., 4 (2001), pp. 308-317.
7. K. H. Coats, A note on IMPES and some IMPES-based models, Soc. Petrol. Eng. J., 5 (2000), pp. 245-251.
8. G. Dagan, Flow and Transport in Porous Formations, Springer-Verlag, New York, 1989.
9. L. J. Durlofsky, Numerical calculation of equivalent grid block permeability tensors for heterogeneous porous media, Water Resour. Res., 27 (1991), pp. 699-708.
10. Y. Gautier, M. J. Blunt, and M. A. Christie, Nested gridding and streamline-based simulation for fast reservoir performance prediction Comput. Geosci., 3 (1999), pp. 295-320.
11. R. J. Hoeksema and P. Kitanidis, Analysis of the spatial structure properties of selected aquifers, Water Resour. Res., 21 (1985), pp. 563-572.
12. T. Hou and X. H. Wu, A multiscale finite element method for elliptic problems in composite materials and porous media, J. Comput. Phys., 134 (1997), pp. 169-189.
13. P. Jenny, S. H. Lee, and H. A. Tchelepi, Multi-scale finite-volume method for elliptic problems in subsurface flow simulation, J. Comput. Phys., 187 (2003), pp. 47-67.
14. P. K. Kitanidis, Effective hydraulic conductivity for gradually varying flow, Water Resour. Res., 26 (1990), pp. 1197-1208.
15. H. Stone and A. O. Garder, Jr., Analysis of gas-cap or dissolved-gas drive reservoirs, Trans. Soc. Pet. Eng. AIME, 222 (1961), pp. 92-104.
16. H. A. Tchelepi, L. J. Durlofsky, W. H. Chen, A. Bernath, and M. C. H. Chien, Practical use of scale up and parallel reservoir simulation technologies in field studies, SPE Reservoir Eval. & Eng., 2 (1999), pp. 368-376.