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Calculation of the effective permeability of a randomly inhomogeneous porous medium

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Abstract

The effective permeability of a porous medium is calculated nonperturbatively. An exact expression for the permeability in terms of a double path integral is derived on the assumption that the permeability obeys a log-normal distribution function. Path integration is carried out in general form in the large-scale limit. The result confirms the well-known conjecture that the effective permeability is independent of the structure of the correlation function, but it disagrees with the hypothesis that the effective permeability depends exponentially on the variance.

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Authors and Affiliations

  1. Institute of Problems in Mechanics, Russian Academy of Sciences, 117526, Moscow, Russia

    É. V. Teodorovich

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  1. É. V. Teodorovich
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Zh. Éksp. Teor. Fiz. 112, 313–324 (July 1997)

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Teodorovich, É.V. Calculation of the effective permeability of a randomly inhomogeneous porous medium. J. Exp. Theor. Phys. 85, 173–178 (1997). https://doi.org/10.1134/1.558302

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  • DOI: https://doi.org/10.1134/1.558302

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