A multiscale mixed finite-element method for vuggy and naturally-fractured reservoirs

SPE Reservoir Simulation Symposium Proceedings

Volumn 2, Issue , 2009, Pages 898-908

  Gulbransen, Astrid Fossum ^a   Hauge, Vera Louise ^a   Lie, Knut Andreas ^a  

^a SINTEF ICT   (Norway)

Author keywords

[No Author keywords available]

Indexed keywords

ACCURATE MODELING; BASIS FUNCTIONS; BRINKMAN EQUATION; CARBONATE RESERVOIR; CO-EXISTENCE; COARSE GRID; COARSENING AND REFINEMENTS; DARCY MODEL; DARCY-FLOW MODEL; DETAILED MODELING; DIRECT SIMULATION; EFFECTIVE PERMEABILITY; FINITE-ELEMENT; FLOW PROBLEMS; FLOW REGIONS; FRACTURE NETWORK; FRACTURED RESERVOIR; GEOCELLULAR GRID; GEOCELLULAR MODELS; INTERFACE MODELING; MIXED FINITE ELEMENT METHODS; MULTIPLE SCALE; MULTISCALE FRAMEWORK; MULTISCALE METHOD; MULTISCALES; NUMERICAL SOLUTION; SCALE EFFECTS; STOKES FLOWS; SYSTEM OF EQUATIONS; TEST CASE; UNIFIED APPROACH;

FINITE ELEMENT METHOD; FRACTURE; PETROLEUM RESERVOIR EVALUATION; PETROLEUM RESERVOIRS; PRODUCTION; SIMULATORS; SOLAR RADIATION;

FLOW SIMULATION;

EID: 70449646788     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (21)

1. Aarnes, J. E. 2004. 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(3):421-439 (electronic).
2. Aarnes, J. E., Krogstad, S., and Lie, K.-A. 2006. A hierarchical multiscale method for two-phase flow based upon mixed finite elements and nonuniform coarse grids. Multiscale Model. Simul. 5(2):337-363 (electronic).
3. Aarnes, J. E., Krogstad, S., and Lie, K.-A. 2008. Multiscale mixed/mimetic methods on corner-point grids. Comput. Geosci., 12(3):297-315. Doi: 10.1007/s10596-007-9072-8.
4. Arbogast, T. and Brunson, D. S. 2007. A computational method for approximating a Darcy-Stokes system governing a vuggy porous medium. Comput. Geosci., 11(3):207-218.
5. Arbogast, T. and Gomez, M. S. M. 2008. A discretization and multigrid solver for a Darcy-Stokes system of three dimensional vuggy porous media, submitted.
6. Arbogast, T. and Lehr, H. L. 2006. Homogenization of a Darcy-Stokes system modeling vuggy porous media. Comput. Geosci., 10(3):291-302.
7. Chen, Z. and Hou, T. 2003. A mixed multiscale finite element method for elliptic problems with oscillating coefficients. Math. Comp., 72:541-576.
8. Christie, M. A. and Blunt, M. J. 2001. Tenth SPE comparative solution project: A comparison of upscaling techniques. SPE Reservoir Eval. Eng., 4:308-317. url: http://www.spe.org/csp/.
9. Hajibeygi, H., Bonfigli, G., Hesse, M. A., and Jenny, P. 2008. Iterative multiscale finite-volume method. J. Comput. Phys., 227(19):8604-8621.
10. Hou, T. and Wu, X.-H. 1997. A multiscale finite element method for elliptic problems in composite materials and porous media. J. Comput. Phys., 134:169-189.
11. Juanes, R. and Tchelepi, H. A. 2008. Special issue on multiscale methods for flow and transport in heterogeneous porous media. Comput. Geosci. 12(3):255-416.
12. Karper, T., Mardal, K.-A., and Winther, R. 2008. Unified finite element discretizations of coupled Darcy-Stokes flow. Numer. Meth. PDEs. Doi: 10.1002/num.20349.
13. Kippe, V., Aarnes, J., and Lie, K.-A. 2008. A comparison of multiscale methods for elliptic problems in porous media flow. Comput. Geosci., 12(3):377-398. Doi: 10.1007/s 10596-007-9074-6.
14. Krogstad, S., Lie, K.-A., Nilsen, H. M., Natvig, J. R., Skaflestad, B., and Aarnes, J. E. 2009. A multiscale mixed finite-element solver for three-phase black-oil flow. Paper SPE 118993, presented at SPE Reservoir Simulation Symposium, The Woodlands, TX, USA, 2-4 February.
15. Lee, S. H., Wolfsteiner, C., and Tchelepi, H. 2008. Multiscale finite-volume formulation for multiphase flow in porous media: black oil formulation of compressible, three phase flow with gravity. Comput. Geosci. 12(3):351-366. Doi: 10.1007/s 10596-007-9069-3.
16. Natvig, J. R., Skaflestad, B., Bratvedt, F., Bratvedt, K., Lie, K.-A., Laptev, V., and Khataniar, S. K. 2009. Multiscale mimetic solvers for efficient streamline simulation of fractured reservoirs. Paper SPE 119132, presented at 2009 SPE Reservoir Simulation Symposium, The Woodlands, Texas, USA, 2-4 February.
17. th SPE Middle East Oil & Gas Show and Conference, Bahrain, 11-14 March.
18. Popov, P., Efendiev, Y., and Qin, G. 2008. Multiscale modeling and simulations of flows in naturally fractured karst reservoirs. Commun. Comput. Phys. In press.
19. Skaflestad, B. and Krogstad, S. 2008. Multiscale/mimetic pressure solvers with near-well grid adaption. In Proceedings of ECMOR XI - 11th European Conference on the Mathematics of Oil Recovery, number A36, Bergen, Norway. EAGE.
20. Wu, Y.-S., Qin, G., Ewing, R. E., Efendiev, Y., Kang, Z., and Ren, Y. 2006. A multiple-continuum approach for modeling multiphase flow in naturally fractured vuggy petroleum reservoirs. Paper SPE 104173, presented at SPE International Oil & Gas Conference and Exhibition, Beijing, China, 5-7 December.
21. Zhou, H. and Tchelepi, H. 2008. Operator-based multiscale method for compressible flow. SPE J., 13(2):267-273.