Hybrid multiscale modeling through direct substitution of pore-scale models into near-well reservoir simulators

Energy and Fuels

Volumn 26, Issue 9, 2012, Pages 5828-5836

  Sun, Tie ^a   Mehmani, Yashar ^a   Balhoff, Matthew T ^a  

^a The University of Texas at Austin   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DIRECT APPROACH; FINITE DIFFERENCE; FINITE-ELEMENT; MULTI-SCALE MODELING; MULTISCALES; PORE-SCALE MODEL; POSTERIORI; RESERVOIR SIMULATOR; SUB-DOMAINS; UPSCALING;

SIMULATORS;

FINITE ELEMENT METHOD;

EID: 84866617482     PISSN: 08870624     EISSN: 15205029     Source Type: Journal    
DOI: 10.1021/ef301003b     Document Type: Article

References (30)

1. Bryant, S.; Pallatt, N. Predicting formation factor and resistivity index in simple sandstones J. Pet. Sci. Eng. 1996, 15 (2-4) 169-179
2. Bakke, S.; Øren, P. E. 3-D pore-scale modelling of sandstones and flow simulations in the pore networks SPE J. 1997, 2 (2) 136-149
3. Valvatne, P. H.; Blunt, M. J. Water Resour. Res. 2004, 40 W07406
4. Balhoff, M. T.; Wheeler, M. F. A predictive pore scale model of non-Darcy flow in porous media SPE J. 2009, 14 (4) 579-587
5. Joekar-Niasar, V.; Prodanović, M.; Wildenschild, D.; Hassanizadeh, S. M. Network model investigation of interfacial area, capillary pressure and saturation relationships in granular porous media Water Resour. Res. 2010, 46 W06526
6. Chen, S.; Doolen, G. Lattice Boltzman method for fluid flows Annu. Rev. Fluid Mech. 1998, 30, 329-364
7. Prodanovic, M.; Bryant, S. A level set method for determining critical curvatures for drainage and imbibitions J. Colloid Interface Sci. 2006, 304, 442-458
8. Fatt, I. The network model of porous media I. Capillary characteristics Trans. Am. Inst. Min., Metall. Pet. Eng. 1956, 207, 144-159
9. Bryant, S. L.; Mellor, D. W.; Cade, C. A. Physically representative network models of transport in porous media AIChE J. 1953, 39, 387-396
10. Balhoff, M. T.; Thompson, K. E.; Hjortsø, M. Coupling pore networks to continuum models Comput. Geosci. 2007, 33 (3) 393-410
11. Balhoff, M. T.; Thomas, S. G.; Wheeler, M. F. Mortar coupling and upscaling of pore scale models Comput. Geosci. 2008, 12 (1) 15-27
12. Peterson, R. T.; Balhoff, M. T.; Bryant, S. Pore-scale modeling of the impact of surrounding flow behavior on multiphase flow properties J. Multiscale Model. 2012, 3 (3) 109-131
13. Sun, T.; Mehmani, Y.; Bhagmane, J.; Balhoff, M. T. Pore to continuum upscaling of permeability in heterogeneous porous media using mortars Int. J. Oil, Gas Coal Technol. 2012, 5 (2/3) 249-266
14. Scheibe, T. D.; Tartakovsky, A. M.; Tartakovsky, D. M.; Redden, G. D.; Meakin, P. Hybrid numerical methods for multiscale simulations of subsurface biogeochemical processes J. Phys.: Conf. Ser. 2007, 78 (1) 1-5
15. Tartakovsky, A. M.; Tartakovsky, D. M.; Scheibe, T. D.; Meakin, P. Hybrid simulations of reaction-diffusion systems in porous media SIAM J. Sci. Comput. 2008, 30 (6) 2799-2816
16. Koumoutsakos, P. Multiscale flow simulations using particles Annu. Rev. Fluid Mech. 2005, 37, 457-487
17. Chu, J.; Engquist, B.; Prodanovic, M.; Tsai, R. A multiscale method coupling network and continuum models in porous media I-Single phase flow Multiscale Model. Simul. 2012, 10, 515-549
18. Arbogast, T.; Cowsar, L. C.; Wheeler, M. F.; Yotov, I. Mixed finite element methods on nonmatching multiblock grids SIAM J. Numer. Anal. 2002, 37 (4) 1295-1315
19. Wheeler, M. F.; Arbogast, T.; Bryant, S.; Eaton, J.; Lu, Q.; Peszynska, M.; Yotov, I. A parallel multiblock/multidomain approach for reservoir simulation. Proceedings of the Society of Petroleum Engineers (SPE) Reservoir Simulation Symposium; Houston, TX, Feb 14-17, 1999.
20. Peszynska, M.; Wheeler, M.; Yotov, I. Mortar upscaling for multiphase flow in porous media Comput. Geosci. 2002, 6 (1) 73-100
21. Arbogast, T. Numerical Subgrid Upscaling of Two-Phase Flow in Porous Media; Texas Institute for Computational and Applied Mathematics (TICAM), University of Texas at Austin: Austin, TX, 1999; Technical Report 99-30.
22. Thomas, S. G.; Wheeler, M. F. Multiblock methods for coupled flow-transport and compositional flow through porous media-Applications to simulation of transport of reactive species and carbon sequestration. Proceedings of the Society of Petroleum Engineers (SPE) Reservoir Simulation Symposium; The Woodlands, TX, Feb 21-23, 2011; SPE Paper 141824.
23. Al-Raoush, R.; Thompson, K. E.; Willson, C. S. Comparison of network generation techniques for unconsolidated porous media Soil Sci. Soc. Am. J. 2003, 67 (6) 1687-1700
24. Thompson, K. E.; Willson, C. S.; White, C. D.; Nyman, S.; Bhattacharya, J.; Reed, A. H. Application of a new grain-based reconstruction algorithm to microtomography images for quantitative characterization and flow modeling. Proceedings of the Society of Petroleum Engineers (SPE) Annual Technical Conference and Exhibition; Dallas, TX, Oct 9-12, 2005.
25. Jackson, M. D.; Valvatne, P. H.; Blunt, M. J. Prediction of wettability variation and its impact on flow using pore- to reservoir-scale simulations J. Pet. Sci. Eng. 2003, 39, 231-246
26. Holden, L.; Nielsen, B. F. Global upscaling of permeability in heterogeneous reservoirs: The output least squares (OLS) method Trans. Porous Media 2000, 40, 115-143
27. Fredd, C. N.; Fogler, H. S. Influence of transport and reaction on wormhole formation in porous media AIChE J. 1998, 44 (9) 1933-1949
28. Chen, Y.; Durlofsky, L. J.; Gerritsen, M.; Wen, X. H. A coupled local-global upscaling approach for simulating flow in highly heterogeneous formations Adv. Water Resour. 2003, 26 (10) 1041-1060
29. Chen, Y.; Durlofsky, L. J. Adaptive local-global upscaling for general flow scenarios in heterogeneous formations Trans. Porous Media 2005, 62, 157-185
30. Wen, X. H.; Durlofsky, L. J.; Chen, Y. Efficient three-dimensional implementation of local-global upscaling for reservoir simulation. Proceedings of the Society of Petroleum Engineers (SPE) Reservoir Simulation Symposium; Houston, TX, Jan 31-Feb 2, 2005; SPE Paper 92965.