A fractal permeability model for gas flow through dual-porosity media

Journal of Applied Physics

Volumn 111, Issue 2, 2012, Pages

  Zheng, Qian ^a   Yu, Boming ^a  

^a HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTICAL EXPRESSIONS; DUAL-POROSITY MEDIUMS; EMPIRICAL CONSTANTS; FRACTAL DISTRIBUTION; NATURAL GAS RESERVOIR; RANDOMLY DISTRIBUTED; STRUCTURAL PARAMETER; SUBSURFACE CONTAMINATION;

FORESTRY; FRACTAL DIMENSION; GAS PERMEABILITY; POROUS MATERIALS; UNDERGROUND RESERVOIRS;

POROSITY;

EID: 84872335946     PISSN: 00218979     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3679070     Document Type: Article

References (44)

1. G. I. Barenblatt, Iu. P. Zheltov, and I. N. Kochina, J. Appl. Math. Mech. 24, 1286 (1960). 10.1016/0021-8928(60)90107-6
2. J. E. Warren and P. J. Root, Soc. Pet. Eng. J. 3, 245 (1963). 10.2118/426-PA
3. I. Gray, SPE Reservoir Eng. 2, 28 (1987). 10.2118/12514-PA
4. J. L. Saulsberry, P. S. Schafer, and R. A. Schraufnagel, A Guide to Coalbed Methane Reservoir (Gas Research Institute, Chicargo, 1996).
5. 2 in Deep Unmineable Coal Seams (Coal-seqll), Washington DC, 6-7 March 2003.
6. J. Q. Shi and S. Durucan, Fuel 82, 1219 (2003). 10.1016/S0016-2361(03) 00010-3
7. L. Gosselin and A. K. da Silva, J. Appl. Phys. 102, 114902 (2007). 10.1063/1.2721783 (Pubitemid 46938596)
8. C. Hou, S. Gheorghiu, V. H. Huxley, and P. Pfeifer, PLOS Comput. Biol. 6, e1000902 (2010). 10.1371/journal.pcbi.1000902.g001
9. M. E. Beygi and F. Rashidi, Transp. Porous Media 87, 421 (2011). 10.1007/s11242-010-9692-7
10. V. Calogovic, Cem. Concr. Res. 25, 1054 (1995). 10.1016/0008-8846(95) 00100-Q
11. J. Amani Rad and K. Parand, Int. J. Math. Comput. Sci. 6, 184 (2010).
12. J. Billiotte, D. Yang, and K. Su, Phys. Chem. Earth 33, S231 (2008). 10.1016/j.pce.2008.10.040
13. L.-Z. Zhang, Int. J. Heat Mass Transfer 51, 5288 (2008). 10.1016/j.ijheatmasstransfer.2008.03.008
14. F. Kucuk and W. K. Sawyer, SPE 55th Annual Technical Conference and Exhibition, Dallas, Texas, 1980.
15. S. Békri, C. Laroche, and O. Vizika, SCA 2005-35, International Symposium of the Society of Core Analysts, Toronto, Canada, 2005.
16. A. Khlaifat, H. Qutob, and H. Arastoopour, AAPG Search and Discovery Article # 40732 (2011).
17. M. S. A. Perera, P. G. Ranjith, S. K. Choi, and D. Airey, Fuel 90, 547 (2011). 10.1016/j.fuel.2010.09.029
18. A. J. Katz and A. H. Thompson, Phys. Rev. Lett. 54, 1325 (1985). 10.1103/PhysRevLett.54.1325
19. J. F. Thovert, F. Wary, and P. M. Adler, J. Appl. Phys. 68, 3872 (1990). 10.1063/1.346274
20. P. M. Adler, J. Hydrol. 187, 195 (1996). 10.1016/S0022-1694(96)03096-X (Pubitemid 27027842)
21. P. M. Adler and J.-F. Thovert, Appl. Mech. Rev. 51, 537 (1998). 10.1115/1.3099022
22. J. P. Hansen and A. T. Skjeltorp, Phys. Rev. B 38, 2635 (1988). 10.1103/PhysRevB.38.2635
23. B. M. Yu and J. H. Lee, Fractals 9, 365 (2001). 10.1142/S0218348X01000804
24. B. M. Yu, L. J. Lee, and H. Cao, Fractals 9, 155 (2001). 10.1142/S0218348X01000610
25. B. M. Yu, L. J. Lee, and H. Cao, Polym. Compos. 23, 201 (2002). 10.1002/pc.v23:2
26. B. M. Yu and P. Cheng, Int. J. Heat Mass Transfer 45, 2983 (2002). 10.1016/S0017-9310(02)00014-5 (Pubitemid 34635474)
27. P. Xu and B. M. Yu, Adv. Water Resour. 31, 74 (2008). 10.1016/j.advwatres.2007.06.003 (Pubitemid 350082674)
28. B. M. Yu and J. H. Li, Chin. Phys. Lett. 21, 1569 (2004). 10.1088/0256-307X/21/8/044 (Pubitemid 39057538)
29. J. Bear, Dynamics of Fluids in Porous Media (American Elsevier Publishing Company Inc., New York, 1972).
30. F. A. L. Dullien, Porous Media Fluid Transport and Pore Structure (Academic, San Diego, 1979).
31. E. L. Cussler, Diffusion: Mass Transfer in Fluid Systems (Cambridge University Press, London, 2002).
32. A. Beskok, G. E. Karniadakis, and W. Trimmer, J. Fluids Eng. 118, 448 (1996). 10.1115/1.2817779
33. L. F. Ayala, T. Ertekin, and M. Adewumi, SPE J. 11, 480 (2006). 10.2118/94856-PA
34. L. F. Ayala, T. Ertekin, and M. Adewumi, J. Pet. Sci. Eng. 58, 13 (2007). 10.1016/j.petrol.2006.11.005 (Pubitemid 47090143)
35. M. M. Denn, Process Fluid Mechanics (Prentice-Hall, Englewood Cliffs, NJ, 1980).
36. J. R. Welty, C. E. Wicks, and R. E. Wilson, Fundamentals of Momentum, Heat and Mass transfer (John Wiley Sons, New York, 1984).
37. M. Lu and L. D. Connell, Transp. Porous Media 68, 153 (2007). 10.1007/s11242-006-9030-2 (Pubitemid 46711531)
38. P. Xu, B. M. Yu, Y. Feng, and Y. Liu, Physica A 369, 884 (2006). 10.1016/j.physa.2006.03.023
39. B. B. Mandelbrot, The Fractal Geometry of Nature (Freeman, New York, 1982).
40. P. Xu and B. M. Yu, J. Appl. Phys. 100, 104906 (2006). 10.1063/1.2392935 (Pubitemid 44853743)
41. J. Chen, B. M. Yu, P. Xu, and Y. Li, Phys. Rev. E 75, 056301 (2007). 10.1103/PhysRevE.75.056301 (Pubitemid 46686358)
42. A. E. Scheidegger, The Physics of Flow Through Porous Media (University of Toronto Press, Toronto, Canada, 1974).
43. W. Yi, P. G. Ranjith, and S. Tilakasiri, A study of gas flow in porous sandstone, Int. J. Environ. Sci. Policy (submitted).
44. Y. J. Feng, B. M. Yu, M. Q. Zou, and D. M. Zhang, J. Phys. D: Appl. Phys. 37, 3030 (2004). 10.1088/0022-3727/37/21/014