Multiscale Structures to Describe Porous Media Part II: Transport Properties and Application to Test Materials |
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Authors: | Xu Ke Daian Jean-Francois Quenard Daniel |
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Affiliation: | (1) Centgre d'Etude de la Neige (Météo-France), 1441 rue de la Piscine, F38406 Saint Martin d'Hères, France;(2) Laboratoire d'Etude des Transferts en Hydrologie et Environnement, Université Joseph Fourier, Institut National Polytechnique de Grenoble, Centre National de la Recherche Scientifique, (UMR 5564), France;(3) Centre Scientifique et Technique du Bâtiment, 24 rue Joseph Fourier, F38400 Saint Martin d'Hères, France |
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Abstract: | A renormalization method for the computation of the transport properties of a porous medium modelled as a multiscale random network is proposed. The method applies to electrical conduction, molecular diffusion, hydraulic transport under low Reynolds number, transport of condensable vapour, in the medium fully or partially saturated by one or two immiscible fluids. For 31 test materials, the method previously exposed by the authors for the reconstitution of the pore structure from the mercury intrusion curve is applied. Then, the intrinsic permeability is computed. The results are in good agreement with the measured permeability. |
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Keywords: | percolation theory renormalization multiscale networks mercury intrusion porosimetry transport properties effective properties permeability. |
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