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Compressibility and permeability of sand–kaolin mixtures. Experiments versus non‐linear homogenization schemes
Authors:Claude Boutin  Grzegorz Kacprzak  Doanh Thiep
Institution:1. Université de Lyon, Ecole Nationale des Travaux Publics de l'Etat, LGM/DGCB CNRS 1652 Rue Maurice Audin 69518 Vaulx‐en‐Velin, FranceCurrently invited scientist at LNCC/MCT, Laboratorio Nacional de Computacao Cientifica, Av. Getulio Vargas 333, 25651‐070, Petropolis, Rio de Janeiro, Brazil.;2. Université de Lyon, Ecole Nationale des Travaux Publics de l'Etat, LGM/DGCB CNRS 1652 Rue Maurice Audin 69518 Vaulx‐en‐Velin, France
Abstract:This study deals with the behaviour of mixtures of sand and saturated kaolin paste considered as composite materials made of permeable and deformable (with non‐linear behaviour) matrix (the kaolin paste) with rigid and impervious inclusions (the sand grains). Oedometric and permeability tests highlight the key role of the state of the clay paste, and show the existence of a threshold of sand grain concentration above which a structuring effect influences both compressibility and permeability. At the light of these experiments two homogenization schemes (with simplifying assumptions to make the problem manageable) are considered to model these two parameters. Qualitative and quantitative comparisons with experimental data point out their respective domain of interest and limitations: a tangent homogenization scheme is shown to be sufficient to describe the macroscopic properties for dilute sand concentration; above the concentration threshold, the structuring effect is captured by the new homogenization scheme developed in this paper. Copyright © 2010 John Wiley & Sons, Ltd.
Keywords:sand–  clay mixtures  non‐linear homogenization  hardening  compression index  permeability  compaction
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