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Effective Medium Analysis of Random Lattices

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Abstract

Calculations of effective conductivities of generalized random bond lattices representing porous media are compared to approximations using effective medium theory (EMT). We use numerical simulations of flow through 2D and 3D random lattice models, which allow for variable lattice densities and a lognormal distribution of local conductivities, to compare effective conductivities to effective medium approximations. We find that the analytical expressions provide good agreement to the simulations in 2D systems, but are in significant error in 3D systems when the standard deviation of the local conductivities is large.

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Authors and Affiliations

  1. Institut de Physique du Globe de Paris, tour 24, 4, Place Jussieu, 75252, Paris Cedex, France

    Pierre M. Adler

  2. Department of Environmental Sciences and Energy Research, Weizmann Institute of Science, Rehovot, 76100, Israel

    Brian Berkowitz

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  1. Pierre M. Adler
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  2. Brian Berkowitz
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Adler, P.M., Berkowitz, B. Effective Medium Analysis of Random Lattices. Transport in Porous Media 40, 145–151 (2000). https://doi.org/10.1023/A:1006611011600

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  • DOI: https://doi.org/10.1023/A:1006611011600

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