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Multiscale Structures to Describe Porous Media Part II: Transport Properties and Application to Test Materials
Authors:Xu  Ke  Daian  Jean-Francois  Quenard   Daniel
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
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.
Keywords:percolation theory  renormalization  multiscale networks  mercury intrusion porosimetry  transport properties  effective properties  permeability.
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