Massively parallel sector scale discrete fracture and matrix simulations

SPE Reservoir Simulation Symposium Proceedings

Volumn 1, Issue , 2009, Pages 344-358

  Geiger, S ^a   Huangfu, Q ^b   Reid, F ^b   Matthai, S ^c   Coumou, D ^d   Belayneh, M ^e   Fricke, C ^a   Schmid, K ^a  

^a HERIOT WATT UNIVERSITY   (United Kingdom)

^b UNIVERSITY OF EDINBURGH   (United Kingdom)

^c UNIVERSITY OF LEOBEN   (Austria)

^d Potsdam Institute of Climate Impact Research   (Germany)

^e IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

COLUMN HEIGHT; DISCRETE FRACTURES; DISPLACEMENT PATTERNS; FRACTURE LENGTH; GRAVITATIONAL FORCES; HIGH RESOLUTION; IDLE TIME; INTER PROCESSOR COMMUNICATION; LINEAR SCALING; LOCAL GRIDS; MATRIX; NATURALLY FRACTURED RESERVOIRS; NONLINEAR COUPLING; OIL RECOVERIES; PARALLELISATION; PARAMETER SPACES; POWER-LAW; REALISTIC MODEL; RESERVOIR SIMULATION; RUNTIMES; SMALL SCALE; UPSCALING;

FRACTURE; GRAVITATION; HYDROCARBONS; PETROLEUM REFINING; PETROLEUM RESERVOIR EVALUATION; PETROLEUM RESERVOIRS; SOLAR RADIATION;

SIMULATORS;

EID: 70450199217     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (65)

1. T. M. Al-Shaalan, L. S. K. Fung, and A. H. Dogru. A scalable massively parallel dual-porosity dual-permeability simulator for fractured reservoirs with super-k permeability. Paper SPE-84371. SPE Annual Technical Conference and Exhibition, Denver, Colorado, 5-8 October,2003.
2. M. Belayneh, S. Geiger, and S. K. Matthai. Numerical simulation of water injection into layered fractured carbonate reservoir analogs. AAPG Bulletin,90(10): 1473-1493, 2006.
3. M. Belayneh, S. K. Matthai, and J. W. Cosgrove. The implication of fracture swarms in the chalk of se england on the tectonic history of the basin and their impact on fluid flow in high-porosity and low-permeability rocks. In A.C. Ries, R.W Butler, and R.H. Graham, editors, Deformation of the Continental Crust: The Legacy of Mike Coward. Geological Society, London, Special Publications,272: 499-517 2007.
4. B. Berkowitz. Characterizing flow and transport in fractured geological media: A review. Advances in Water Resources,25(8-12): 861-884, 2002.
5. B. Berkowitz, G. Kosakowski, G. Margolin, and H. Scher. Application of continuous time random walk theory to tracer test measurements in fractured and heterogeneous porous media. Ground Water,39(4):593-604, 2001.
6. H. Cao, H. A. Tchelepi, J. Wallis, and H. Yardumian. Parallel scalable unstructured cpr-type linear solver for reservoir simulation. Paper SPE-96809. SPE Annual Technical Conference, Dallas, Texas, 9-12 October.,2005.
7. M. C. H. Chien, M. L. Wasserman, H. E. Yardumian, E. Y. Chung, T. Nguyen, and J. Larson. The use of vectorization and parallel processing for reservoir simulation. Paper SPE-16025. SPE Reservoir Simulaiton Symposium, San Antonio, Texas, 1-4 Feburary, 1987.
8. M. C. H. Chien, H. A. Tchelepi, H. E. Yardumian, and W. E. Chen. A scalable parallel multi-purpose reservoir simulator. Paper SPE-37976. SPE Reservoir Simulation Symposium, Dallas, Texas, 8-11 June,1997.
9. T. Clees. AMG Strategies for PDE Systems with Applications in Industrial Semiconductor Simulation.PhD Thesis, Universität Köln, Germany, 2005.
10. D. A. Collins, J. E. Grabenstetter, and P. S. and Sammon. A shared-memory parallel black-oil simulator with a parallel ilu linear solver. Paper SPE-79713. SPE Reservoir Simulation Symposium, Houston, Texas, 3-5 February,2003.
11. A.Cortis and J. Birkholzer. Continuous time random walk analysis of solute transport in fractured porous media. Water Resources Research,44:W06414, 2008. doi: 10.1029/2007WR006569.
12. D. Coumou, T. Driesner, and C. A. Heinrich. Heat transport at boiling, near-critical conditions. Geofluids,8(3):208215, 2008a.
13. D. Coumou, S. K. Matthai, S. Geiger, and T. Driesner. A parallel FE-FV scheme to solve fluid flow in complex geologic media. Computers & Geosciences,34(12):1697-1707, 2008b.
14. D. DeBaun, T. Byer, P. Childs, J. Chen, F. Saaf, M. Wells, J. Liu, H. Cao, L. Pianelo, V. Tilakraj, P. Crumpton, D. Walsh, H. Yardumian, R. Zorzynski, K. T. Lim, M. Scharder, V. Zapata, J. Nolen, and H. Tchelepi. An extensible architecture for next generation scalable parallel reservoir simulation. Paper SPE-93274. SPE Reservoir Simulation Symposium, Houston, Texas, 31 January-2 February., 2005.
15. P. A. Fjerstaed, A. S. Skiandar, H. Cao, J. Liu, and W. Da Sie. Next generation parallel computing for large-scale reservoirs simulation. Paper SPE-97385. SPE International Improved Oil Recovery Conference in Asia Pacific, Kuala Lumpur, Malaysia, 5-6 December, 2005.
16. Y. Fu, Y. K. Yang, and M. Doe. Three-dimensional, three-phase discrete-fracture reservoir simulation based on control volume finite element (CVFE) formulation. Paper SPE-93292. SPE Reservoir Simulation Symposion, Houston, Texas, 31 January-2 February, 2005.
17. L. S. K. Fung and T. M. Al-Shaalan. Parallel iterative solver for the dual-porosity, dual-permeability system in fractured reservoir simulation, iptc-10343. In International Petroleum Technology Conference, Doha, Qatar, 21-23 November,2005.
18. S. Geiger, S. G. Roberts, S. K. Matthai, C. Zoppou, and A. Burri. Combining finite element and finite volume methods for efficient multiphase flow simulations in highly heterogeneous and structurally complex geologic media. Geofluids,4(4):284-299, 2004.
19. 2O. Transport in Porous Media,63(3):399-434, 2006.
20. S. Geiger, S.K. Matthai, J. Niessner, and R. Helmig. Black-oil simulations for three-component-three-phase flow in fractured porous media. SPE Journal,in press.
21. M. G. Gerritsen and L. J. Durlofsky. Modeling fluid flow in oil reservoirs. Annual Review of Fluid Mechanics,37:211-238, 2005.
22. M. G. Gerritsen, H. Löf, and M. R. Thiele. Parallel implementations of streamline simulators. Computational Geosciences,in press, 2008.
23. B.Gong, M. Karimi-Fard, and L. J. Durlofsky. Upscaling discrete fracture characterizations to dual-porosity, dual-permeability models for efficient simulation of flow with strong gravitational effects. SPE Journal,13(l):58-67, 2008.
24. W. Gropp, E. Lusk, N. Doss, and A. Skjellum. A high-performance, portable implementation of the mpi message passing interface standard. Parallel Computing,6:789-828, 1996.
25. H. Hoteit and A. Firoozabadi. Multicomponent fluid flow by discontinuous galerkin and mixed methods in unfractured and fractured media. Water Resources Research,4LW11412, 2005. doi: 10.1029/2005WR004339.
26. H. Hoteit and A. Firoozabadi. Compositional modeling by the combined discontinuous galerkin and mixed methods. SPE Journal,11 (l):19-34, 2006.
27. H. Hoteit and A. Firoozabadi. Numerical modeling of two-phase flow in heterogeneous permeable media with different capillarity pressures. Advances in Water Resources,31(1):56-73, 2008a.
28. H. Hoteit and A. Firoozabadi. An efficient numerical model for incompressible two-phase flow in fractured media. Advances in Water Resources,31(6):891-905, 2008b.
29. W. Huang, G. Di Donate and M.J. Blunt. Comparison of streamline-based and grid-based dual porosity simulation. Journal of Petroleum Science and Engineering,43(1-2):129-137, 2004.
30. P. Jenny, S. H. Lee, and H. A. Tchelepi. Adaptive fully implicit multi-scale finite-volume method for multi-phase flow and transport in heterogeneous porous media. Journal of Computational Physics,217(2):627- 641, 2006.
31. M. Karimi-Fard and A. Firoozabadi. Numerical simulation of water injection in fractured media using the discrete-fracture model and the galerkin method. SPE Reservoir Evaluation & Engineering,6(2):117-126, 2003.
32. M. Karimi-Fard, L. J. Durlofsky, and K. Aziz. An efficient discrete-fracture model applicable for general-purpose reservoir simulators. SPE Journal,9(2):227-236, 2004.
33. M. Karimi-Fard, B. Gong, and L. J. Durlofsky. Generation of coarse-scale continuum flow models from detailed fracture characterizations. Water Resources Research, A2(\0):\i\0A2i,2006.doi: 10.1029/2006WR005015.
34. G. Karypsis and V. Kumar. METIS, a software package for partitioning unstructured graphs, partitioning meshes, and computing fill-reducing orderings of sparse matrices. Version 4.0. Technical report, Department of Computer Science/Army HPC Research Center, University of Minnesota, Minneapolis, USA., 1998a.
35. G. Karypsis and V. Kumar. A fast and high quality multilevel scheme for partitioning irregular graphs. SIAM Journal on Scientific Computing,20(1):359392, 1998b.
36. H. Kazemi and J. R Gilman. Multiphase flow in fractured petroleum reservoirs. In J. Bear, C.F. Tsang, and G. Marsily, editors, Flow and Contaminant Transport in Fractured Rocks,pages 267-323. Academic Press Inc., San Diego, 1993.
37. A. Kerchel and K. Stiiben. SAMGp user's manual. Release 21z. Technical report, Fraunhofer Institute for Algorithms and Scientific Computing., 2005.
38. J. E. Killough and M. F. Wheeler. Parallel iterative linear equation solver: An investigation of domain decomposition algorithms for reservoir simulation. Paper SPE-6021. SPE Reservoir Simulation Symposium, San Antonio, Texas, 1-4 February,1987.
39. J. G. Kim and M. D. Deo. Comparison of the performance of a discrete fracture multiphase model with those using conventional methods. Paper SPE-51928. SPE Reservoir Simulation Symposium, Houston, Texas, 14-17 February,1999.
40. J. G.Kim and M. D. Deo. Finite element, discrete-fracture model for multiphase flow in porous media. AIChE Journal,46(6): 1120-1130, 2000.
41. P. Leyland and R. Richter. Completely parallel compressible ow simulations using adaptive unstructured meshes. Computer Methods in Applied Mechanics and Engineering,2000:467-483, 2000.
42. Q. Lu, M. Peszynska, and M. F. Wheeler. A parallel multiblock black-oil model in multimodel implementation. SPE Journal,7(3): 278-287, 2002.
43. Y. Ma and Z. Chen. Parallel computation for reservoir thermal simulation of multicomponent and multiphase fluid flow. Journal of Computational Physics,201(l):224-237, 2004.
44. S. K. Matthai and M. Belayneh. Fluid flow partitioning between fractures and a permeable rock matrix. Geophysical Research Letters, 31(7):5, 2004.
45. S. K. Matthai, S. Geiger, S. G. Roberts, A. Paluszny, M. Belayneh, A. Burri, A. Mezentsev, H. Lu, D. Coumou, T. Driesner, and C. A. Heinrich. Numerical simulations of multiphase fluid flow in structurally complex reservoirs. In S. J. Jolley, D. Barr, J. J. Walsh, and R. J. Knipe, editors, Structurally Complex Reservoirs. Geological Society of London Special Publications,292:405-129. 2007a.
46. S. K. Matthäi, A. Mezentsev, and M. Belayneh. Finite element-node-centered finite-volume two-phase-flow experiments with fractured rock represented by unstructured hybrid-element meshes. SPE Reservoir Evaluation & Engineering,10(6):740-756, 2007b.
47. P. Michielse. Parallel adaptive reservoir simulation. Parallel Computing,13:359-368, 1990.
48. J. E. P. Monteagudo and A. Firoozabadi. Control-volume method for numerical simulation of two-phase immiscible flow in two-and three-dimensional discrete-fractured media. Water Resources Research,40(7):W07405, 2004. doi: 10.1029/2003WR002996.
49. J. E. P. Monteagudo and A. Firoozabadi. Comparison of fully implicit and impes formulations for simulation of water injection in fractured and unfractured media. International Journal for Numerical Methods in Engineering,69(4):698-728, 2007a.
50. J. E. P. Monteagudo and A. Firoozabadi. Control-volume model for simulation of water injection in fractured media: Incorporating matrix heterogeneity and reservoir wettability effects. SPE Journal,12:355-366, 2007b.
51. R. Naimi-Tajdar, C. Y. Han, K. Sepehrnoori, T. J. Arbogast, and M. A. Miller. A fully implicit, compositional, parallel simulator for ior processes in fractured reservoirs. SPE Journal,12(3):367-381, 2007.
52. J. Niessner, R. Helmig, H. Jakobs, and J. E. Roberts. Interface condition and linearization schemes in the newton iterations for two-phase flow in heterogeneous porous media. Advances in Water Resources,28(7):671-687, 2005.
53. J. S. Nolen and P. L. Stanstad. Reservoir simulation on vector processing computers. Paper SPE-9644. SPE Middle East Oil Technical Conference, Manama, Bahrain,1981.
54. Y. A. Omelchenko and H. Karimabadi. Self-adaptive time integration of flux-conservative equations with sources. Journal of Computational Physics,216(1):179-194, 2006.
55. A. Paluszny, S. K. Matthai, and M. Hohmeyer. Hybrid finite element-finite volume discretization of complex geologic structures and a new simulation workflow demonstrated on fractured rocks. Geofluids,7(2): 186-208, 2007.
56. E. R. Rangel-German and T. Kovscek. Time-dependent matrix-fracture shape factors for partially and completely immersed fractures. Journal of Petroleum Science and Engineering Geology,54(3-4): 149-163, 2006.
57. V. Reichenberger, H. Jakobs, P. Bastian, and R. Helmig. A mixed-dimensional finite volume method for two-phase flow in fractured porous media. Advances in Water Resources,29(7):1020-1036, 2006.
58. K. Stüben. A review of algebraic multigrid. Journal of Computational an Applied Mathematics,128:281-309, 2001.
59. K. Stiiben and T. Clees. SAMG user's manual. Release 22c. Technical report, Fraunhofer Institute for Algorithms and Scientific Computing., 2005.
60. J. A. Trangenstein and J. B. Bell. Mathematical structure of the black-oil model for petroleum reservoir simulation. SIAM Journal on Applied Mathematics,49(3):749-783, 1989.
61. S. Verdire, L. Quettier, P. Samier, and A. Thompson. Applications of a parallel simulator to industrial test cases. Paper SPE-51887. SPE Reservoir Simulation Symposium, Houston, Texas, 14-17 February.,1999.
62. J. R. Wallis, J. A. Foster, and R. P. Kendall. A new parallel iterative linear solution method for large-scale reservoir simulation. Paper SPE-21209. SPE Reservoir Simulation Symposium, Anaheim, California, 17-20 Februrary,1991.
63. P. Wang, S. Balay, J. Sephernoori, M. F. Wheeler, S. Abate, B. Smith, and G. A. Pope. A fully implicit parallel EOS compositional simulator for large scale reservoir simulation. Paper SPE-51885. SPE Reservoir Simulation Symposium, Houston, Texas, 14-17 February.,1999.
64. J. E. Warren and P. J. Root. The behavior of naturally fractured reservoirs. SPE Journal,3(3):244-255, 1963.
65. Y. Wu, K. Zhang, C. Ding, K. Pruess, E. Elmroth, and G. S. Bodvarsson. An efficient parallel-computing method for modeling non-isothermal multiphase flow and multicomponent transport in porous and fractured media. Advances in Water Resources,25(3): 243-261,2002.