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Other Transport Properties of Porous Media

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Percolation Theory for Flow in Porous Media

Part of the book series: Lecture Notes in Physics ((LNP,volume 880))

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Abstract

The saturation dependence of the air permeability, solute and gas diffusion are shown to obey universal expressions from percolation theory. In the case of the air permeability and gas diffusion, changing the air content of the medium does not change the radius of the bottleneck pore size, meaning that the pore-size distribution is irrelevant to the saturation dependence. If the pore-size distribution does not play a role, the controlling influence on this behavior is the universal evolution of the topology of the infinite cluster with changing moisture content. The scaling of the diffusion constant with percolation probability in a finite system is known to follow the same function as the electrical conductivity. Since we showed in Chap. 6 that the pore-size distribution is typically (though not always) unimportant to the saturation-dependence of the electrical conductivity, one expects the same universal scaling behavior for the solute diffusion. The thermal conductivity is shown to have an important dependence on particle-particle contact resistance values at low moisture contents, to follow approximately the universal expression from percolation theory at intermediate moisture contents and, nearer saturation to follow a universal expression from effective-medium theory.

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Authors and Affiliations

  1. Department of Earth and Environmental Sciences, Wright State University, Dayton, OH, USA

    Allen Hunt

  2. Department of Agronomy, Iowa State University, Ames, IA, USA

    Robert Ewing

  3. Department of Earth and Environmental Sciences, Wright State University, Dayton, OH, USA

    Behzad Ghanbarian

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Hunt, A., Ewing, R., Ghanbarian, B. (2014). Other Transport Properties of Porous Media. In: Percolation Theory for Flow in Porous Media. Lecture Notes in Physics, vol 880. Springer, Cham. https://doi.org/10.1007/978-3-319-03771-4_7

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