Permeability analysis of fractured vuggy porous media based on homogenization theory

Science China Technological Sciences

Volumn 53, Issue 3, 2010, Pages 839-847

  Huang, ZhaoQin ^a   Yao, Jun ^a   Li, YaJun ^a   Wang, ChenChen ^a   Lü, XinRui ^a  

^a CHINA UNIVERSITY OF PETROLEUM   (China)

Author keywords

Discrete fracture vug network; Equivalent permeability; Fractured vuggy porous media; Homogenization theory; Up scaling

Indexed keywords

GROUNDWATER FLOW; NUMERICAL METHODS; POROUS MATERIALS;

DISCRETE FRACTURE NETWORK; DISCRETE FRACTURES; EQUIVALENT PERMEABILITY; HOMOGENIZATION THEORY; NETWORK MODELING; PERMEABILITY ANALYSIS; THEORETICAL FORMULA; UPSCALING;

FRACTURE;

EID: 77950823908     PISSN: 16747321     EISSN: 18691900     Source Type: Journal    
DOI: 10.1007/s11431-009-0397-5     Document Type: Article

References (20)

1. M. Zhao Z. H. Kang J. Liu 2008 Modeling and application of fractured vuggy carbonate reservoir (in Chinese) Xinjiang Petrol Geol 29 3 318 320
2. S. W. Zhu X. C. Wei S. L. Qu, et al. 2008 Description of the carbonate Karst Reservoir with random media model (in Chinese) Acta Geol Sin 82 3 420 427
3. Yang J. Study of numerical simulation theory and method of fracture-vug unit in fractured-vuggy carbonate reservoirs (in Chinese). Dissertation of Doctoral Degree. Dongying: University of Petroleum (East China), 2006
4. T. Arbogast L. H. Lehr 2006 Homogenization of a Darcy-Stokes system modeling vuggy porous media Comput Geosci 10 3 291 302 10.1007/s10596-006-9024-8 2261837 (Pubitemid 44363983)
5. Neale G H, Nader W K. The Permeability of a Uniformly Vuggy Porous Medium. SPEJ, SPE paper PA 3812. 1973
6. Arbogast T, Brunson D S, Bryant S L, et al. A preliminary computational investigation of a macro-model for vuggy porous medium. In: Miller C T, ed. Computational Methods in Water Resources XV. New York: Elsevier, 2004
7. T. Arbogast D. S. Brunson 2007 A computational method for approximating a Darcy-Stokes system governing a vuggy porous medium Comput Geosci 11 3 207 218 05200264 10.1007/s10596-007-9043-0 2344200
8. Popove P, Bi L F, Efendiev Y, et al. Multiphysics and multiscale methods for modeling fluid flow through naturally fractured vuggy carbonate reservoirs. In: 15th SPE Middle East Oil & Gas Show and Conference. Manama: Society of Petroleum Engineers, 2007
9. P. Popov Y. Efendiev G. Qin 2009 Multiscale modeling and simulations of flows in naturally fractured Karst Reservoirs Commun Comput Phys 6 1 162 184 10.4208/cicp.2009.v6.p162 2537310
10. G. S. Beavers D. D. Joseph 1967 Boundary conditions at a naturally permeable wall J Fluid Mech 30 197 207 10.1017/S0022112067001375
11. Joseph D D, Tao L N. Lubrication of a porous bearing-Stokes' solution. J Appl Mech, 1966, (12): 753-760
12. J. O-Tapia S. Whitaker 1995 Momentum transfer at the boundary between a porous medium and a homogeneous fluid-I: Theoretical development Int J Heat Mass Transf 38 14 2635 2646 10.1016/0017-9310(94)00346-W
13. J. O-Tapia S. Whitaker 1995 Momentum transfer at the boundary between a porous medium and a homogeneous fluid-II: Comparison with experiment Int J Heat Mass Transf 38 14 2647 2655 10.1016/0017-9310(94)00347-X
14. H. C. Brinkman 1949 A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles Appl Sci Res 1 1 27 34 0041.54204 10.1007/BF02120313
15. Benssousan A, Lions J L, Papanicoulau G. Asymptotic Analysis for Periodic Structures. Amesterdam: North Holland, 1978
16. J. L. Auriault 1991 Heterogeneous medium: Is an equivalent macroscopic description possible? Int. J Eng Sci 29 7 785 795 0749.73003 10.1016/0020-7225(91)90001-J (Pubitemid 21669024)
17. G. Allaire 1992 Homogenization and two-scale convergence SIAM J-Math Anal 23 6 1482 1518 0770.35005 10.1137/0523084 1185639
18. Hornung U. Homogenization and Porous Media. New York: Springer-Verlag Inc., 1997
19. Zienkiewicz O C, Taylor R L. The Finite Element Method. 5th ed. Oxford: Butterworth-Heinemann, 2002
20. Shu H M, Tong X H. Engineering Finite Element Method (in Chinese). DongYing: University of Petroleum Press, 2003