Well modeling in the multiscale finite volume method for subsurface flow simulation

Multiscale Modeling and Simulation

Volumn 5, Issue 3, 2006, Pages 900-917

  Wolfsteiner, Christian ^a   Lee, Seong H ^a   Tchelepi, Hamdi A ^b  

^a CHEVRON ENERGY TECHNOLOGY COMPANY   (United States)

^b STANFORD UNIVERSITY   (United States)

Author keywords

Multiscale finite volume; Permeability heterogeneity; Reservoir simulation; Well constraints; Well modeling

Indexed keywords

COMPUTER SIMULATION; FINITE VOLUME METHOD; MATHEMATICAL MODELS; MULTIPHASE FLOW; RESERVOIRS (WATER); TRANSPORT PROPERTIES;

MULTISCALE FINITE VOLUME; PERMEABILITY HETEROGENEITY; RESERVOIR SIMULATION; WELL CONSTRAINTS; WELL MODELING;

WATER WELLS;

EID: 34249103996     PISSN: 15403459     EISSN: 15403467     Source Type: Journal    
DOI: 10.1137/050640771     Document Type: Article

References (20)

1. J. E. AARNES, On the use of a mixed multiscale finite element method for greater flexibility and increased speed or improved accuracy in reservoir simulation, Multiscale Model. Simul., 2 (2004), pp. 421-439.
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, SPEJ, 7 (2002), pp. 446-457.
4. K. AZIZ AND A. SETTARI, Petroleum Reservoir Simulation, Applied Science Publishers, London, England, 1979.
5. G. F. CAREY AND S. S. CHOW, Well singularities in reservoir simulation, SPE Res. Eng., 2 (1987), pp. 713-719.
6. A. CHEN AND T. Y. HOU, A mixed finite element method for elliptic problems with rapidly oscillating coefficients, Math. Comp., 72 (2003), pp. 541-576.
7. Z. CHEN AND X. YUE, Numerical homogenization of well singularities in the flow transport through heterogeneous porous media, Multiscale Model. Simul., 1 (2003), pp. 260-303.
8. M. A. CHRISTIE AND M. J. BLUNT, Tenth SPE comparative solution project: A comparison of upscaling techniques, SPERE, 4 (2001), pp. 308-317.
9. G. DAGAN, Flow and Transport in Porous Formations, Springer-Verlag, New York, 1989.
10. C. DEUTSCH AND A. G. JOURNEL, GSLIB: Geostatistical Software Library and User's Guide, 2nd ed., Oxford University Press, Reading, MA, 1998.
11. Y. DING AND L. JEANNIN, New numerical schemes for near-well modeling using flexible grids, SPEJ, 9 (2004), pp. 109-121.
12. L. J. DURLOFSKY, W. J. MILLIKEN, AND A. BERNATH, Scale up in the near-well region, SPEJ, 5 (2000), pp. 110-117.
13. 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.
14. 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.
15. P. JENNY, S. H. LEE, AND H. A. TCHELEPI, Adaptive multiscale finite-volume method for multiphase flow and transport in porous media, Multiscale Model. Simul., 3 (2005), pp. 50-64.
16. P. JENNY, S. H. LEE, AND H. A. TCHELEPI, An adaptive fully implicit multi-scale finite-volume algorithm for multi-phase flow in porous media, J. Comput. Phys., to appear.
17. S. H. LEE, H. TCHELEPI, P. JENNY, AND L. J. DECHANT, Implementation of a flux-continuous finite difference method for stratigraphic, hexahedron grids, SPEJ, 7 (2002), pp. 267-277.
18. D. W. PEACEMAN, Interpretation of wellblock pressures in numerical reservoir simulation, SPEJ, (June 1978), pp. 183-94.
19. M. SLODICKA, Mathematical treatment of point sources in a flow through porous media governed by darcy's law, Transp. Porous Media, 28 (1997), pp. 51-67.
20. C. WOLFSTEINER, L. J. DURLOFSKY, AND K. AZIZ, Calculation of well index for nonconventional wells on arbitrary grids, Comput. Geosci., 7 (2003), pp. 61-82.