Critical path analysis of the relationship between permeability and electrical conductivity of three-dimensional pore networks

Water Resources Research

Volumn 34, Issue 7, 1998, Pages 1703-1710

  Friedman, Shmulik P ^a   Seaton, Nigel A ^b  

^a VOLCANI CENTER   (Israel)

^b UNIVERSITY OF EDINBURGH   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

CONDUCTIVITY; PERMEABILITY; POROUS MEDIUM;

ELECTRICAL CONDUCTIVITY; PERMEABILITY; PORE NETWORK; SOLUTE TRANSPORT;

ELECTRIC CONDUCTIVITY; PORE SIZE; REGRESSION ANALYSIS; SIZE DISTRIBUTION; TRANSPORT PROPERTIES;

AVERAGE COORDINATION NUMBER; COORDINATION NUMBER; ELECTRICAL CONDUCTIVITY; KNUDSEN DIFFUSIVITY; POSITIVELY SKEWED; RANDOM SYSTEMS; SIMPLE-CUBIC LATTICES; THREE-DIMENSIONAL PORES;

CRITICAL PATH ANALYSIS;

EID: 0031840302     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/98WR00939     Document Type: Article

References (30)

1. Ambegaokar, V., N. I. Halperin, and J. S. Langer, Hopping conductivity in disordered systems, Phys. Rev. B Solid State, 4, 2612-2620, 1971.
2. Berman, D., B. G. Orr, H. M. Jaeger, and A. M. Goldman, Conductances of filled two-dimensional networks, Phys. Rev. B Condens. Matter, 33, 4301-4302, 1986.
3. Bernabé, Y., The transport properties of networks of cracks and pores, J. Geophys. Res., 100, 4231-4241, 1995.
4. Bernabé, Y., and C. Bruderer, Effect of the variance of pore size distribution on the transport properties of heterogeneous networks, J. Geophys. Res., 103, 513-523, 1998.
5. Blair, S. C., P. A. Berge, and G. Berryman, Using two-point correlation functions to characterize microgeometry and estimate permeabilities of sandstones and porous glass, J. Geophys. Res., 101, 20,359-20,375, 1996.
6. Charlaix, E., E. Guyon, and S. Roux, Critical effects in the permeability of heterogeneous porous media, Ann. Isr. Phys. Soc., 8, 316-324, 1986.
7. Charlaix, E., E. Guyon, and S. Roux, Permeability of a random array of fractures widely varying apertures, Transp. Porous Media, 2, 31-43, 1987.
8. David, C., Geometry of flow paths for fluid transport in rocks, J. Geophys. Res., 98, 12,267-12,278, 1993.
9. David, C., Y. Gueguen, and G. Pampoukis, Effective medium theory and network theory applied to the transport properties of rocks, J. Geophys. Res., 95, 6993-7005, 1990.
10. Friedman, S. P., and N. A. Seaton, On the transport properties of anisotropic networks of capillaries, Water Resour. Res., 32, 339-347, 1996.
11. Friedman, S. P., L. Zhang, and N. A. Seaton, Gas and solute diffusion coefficients in pore networks and their description by a simple capillary model, Transp. Porous Media, 19, 281-301, 1995.
12. Johnson, D. L., J. Koplik, and L. M. Schwartz, New pore-size parameter characterizing transport in porous media, Phys. Rev. Lett., 57, 2564-2567, 1986.
13. Johnson, D. L., J. Koplik, and R. Dashen, Theory of dynamic permeability and tortuosity in fluid-saturated porous media, J. Fluid Mech., 176, 379-402, 1987.
14. Katz, A. J., and A. H. Thompson, Quantitative prediction of permeability in porous rock, Phys. Rev. B Condens. Matter, 34, 8179-8181, 1986.
15. Kirkpatrick, S., The geometry of the percolation threshold, in III-Condensed Matter, edited by R. Balian, R. Maynard, and G. Toulouse, pp. 99-116, North-Holland, New York, 1979.
16. Knudsen, M., The laws of molecular flow and viscous flow of gases through tubes, Ann. Phys., 28, 73-79, 1928.
17. Kosugi, K., Three-parameter lognormal distribution model for soil water retention, Water Resour. Res., 30, 891-901, 1994.
18. Kosugi, K., Lognormal distribution model for unsaturated soil hydraulic properties, Water Resour. Res., 32, 2697-2703, 1996.
19. Kozeny, J., Ueber kapillare leitung des wasswes in boden, Sitzungsber. Akad. Wiss. Wien., 136, 271-306, 1927.
20. Lin, C., and M. H. Cohen, Quantitative methods for microgeometric modeling, J. Appl. Phys., 53, 4152-4165, 1982.
21. Millington, R. J., and J. P. Quirk, Formation factors and permeability equations, Nature, 202, 143-145, 1964.
22. Mualem, Y., and S. P. Friedman, Theoretical prediction of electrical conductivity in saturated and unsaturated soil, Water Resour. Res., 27, 2771-2777, 1991.
23. Rouault, Y., and S. Assouline, Modelling pore size distributions and water retention functions in dense polydisperse sphere packings, C. R. Acad. Sci., Ser. II, 573-581, 1997.
24. Sahimi, M., Applications of Percolation Theory, pp. 258, Taylor and Francis, Bristol, Pa., 1994.
25. Seaton, N. A., S. P. Friedman, J. M. D. MacElroy, and B. J. Murphy, The molecular sieving mechanism in carbon molecular sieves, Langmuir, 13, 1199-1204, 1997.
26. Shante, V. K. S., Hopping conduction in quasi-one-dimensional disordered compounds, Phys. Rev. B Solid State, 16, 2597-2612, 1977.
27. Stauffer, D., and A. Aharony, Introduction to Percolation Theory, 181 pp., Taylor and Francis, Bristol, Pa., 1992.
28. Thompson, A. H., Fractals in rock physics, Annu. Rev. Earth Planet. Sci., 19, 237-262, 1991.
29. Yanuka, M., F. A. L. Dullien, and D. E. Elirck, Percolation processes and porous media, I, Geometrical and topological model of porous media using a three-dimensional joint pore size distribution, J. Colloid Interface Sci., 112, 24-41, 1986.
30. Zhang, L., and N. A. Seaton, Prediction of the effective diffusivity in pore networks close to a percolation threshold, AICE J., 38, 1816-1824, 1992.