Multiscale finite-volume method for density-driven flow in porous media

Computational Geosciences

Volumn 12, Issue 3, 2008, Pages 337-350

  Lunati, Ivan ^a   Jenny, Patrick ^b  

^a EPFL   (Switzerland)

^b ETH ZURICH   (Switzerland)

Author keywords

Counter currentflow; Finite volume methods; Gravity; Lock exchange problem; Multiphase flow in porous media; Multiscale methods; Reservoir simulation

Indexed keywords

CAPILLARITY; FINITE VOLUME METHOD; INTERPOLATION; MULTIPHASE FLOW; POROUS MATERIALS; PRESSURE DISTRIBUTION;

CAPILLARITY; CONFERENCE PROCEEDING; DENSITY CURRENT; EXPERIMENTAL STUDY; FINITE VOLUME METHOD; MULTIPHASE FLOW; PERFORMANCE ASSESSMENT; POROUS MEDIUM; PRESSURE EFFECT;

EID: 51549119194     PISSN: 14200597     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10596-007-9071-9     Document Type: Conference Paper

References (15)

1. Aarnes, J.: On the use of a mixed multiscale finite elements method for greater flexibility and increased speed or improved accuracy in reservoir simulation. Multiscale Model. Simul. 2 (3), 421-439 (2004)
2. Aarnes, J., Kippe, V., Lie, K.: Mixed multiscale finite elements and streamline methods for reservoir simulation of large geomodel. Adv. Water Resour. 28, 257-271 (2005)
3. Arbogast, T.: Numerical subgrid upscaling of two phase flow in porous media. Tech. Rep., Texas Institute for Computational and Applied Mathematics, The University of Texas at Austin (1999)
4. Arbogast, T.: Implementation of a locally conservative numerical subgrid upscaling scheme for two phase darcy flow. Comput. Geosci. 6, 453-481 (2002)
5. Arbogast, T., Bryant, S.L.: Numerical subgrid upscaling for waterflood simulations. SPE 66375, presented at the SPE Symp on Reservoir Simulation, Houston, 11-14 February (2001)
6. Chen, Z., Hou, T.Y.: A mixed finite element method for elliptic problems with rapidly oscillating coefficients. Math. Comput. 72 (242), 541-576 (2003)
7. Christie, M.A., Blunt, M.J.: TenthASPE comparative solution project: a comparision of upscaling techniques. SPE 66599, presented at the SPE Symp on Reservoir Simulation, Houston, 11-14 February (2001)
8. Hou, T.Y., Wu, X.H.: A multiscale finite element method for elliptic problems in composite materials and porous media. J. Comp. Phys. 134 (1), 169-189 (1997)
9. Jenny, P., Lee, S.H., Tchelepi, H.: Multi-scale finite-volume method for elliptic problems in subsurface flow simulation. J. Comp. Phys. 187 (1), 47-67 (2003)
10. Jenny, P., Lee, S.H., Tchelepi, H.: Adaptive multiscale finite-volume method for multi-phase flow and transport in porous media. Multiscale Model. Simul. 3 (1), 50-64 (2004)
11. Jenny, P., Lee, S.H., Tchelepi, H.: Adaptive fully implicit multi-scale finite-volume method for multi-phase flow and transport in heterogeneous porous media. J. Comp. Phys. 217, 627-641 (2006)
12. Lunati, I., Jenny, P.: Multi-scale finite-volume method for compressible flow in porous media. J. Comp. Phys. 216, 616-636 (2006)
13. Lunati, I., Jenny, P.: Treating highly anisotropic subsurface flow with the multiscale finite-volume method. Multiscale Model. Simul. 6 (1), 208-218 (2007)
14. Renard, P., de Marsiliy, G.: CaAculating equivalent permeability: a review. Water Resour. Res. 20 (5-6), 253-278 (1997)
15. Wolfsteiner, C., Lee, S.H., Tchelepi, H.A.: Well modeling in the multiscale finite volume method for subsurface flow simulation. Multiscale Model. Simul. 5 (3), 616-636 (2006)