Extension of Biot theory to the problem of saturated microporous elastic media with isolated cracks or/and vugs


  • J. Lewandowska,

    Corresponding author
    • Laboratoire de Mécanique et Génie Civil (LMGC), UM2, CNRS, CC048 Place Eugene Bataillon, 34095 Montpellier Cedex 5, France
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  • J.-L. Auriault

    1. Laboratoire Sols Solides Structures et Risques (3S-R), UJF, INPG, CNRS, Domaine Universitaire, BP 53, 38041 Grenoble Cedex, France
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Correspondence to: J. Lewandowska, Journals Production Department, John Wiley & Sons, Ltd, The Atrium, Southern Gate, Chichester, West Sussex, PO19 8SQ, UK.

E-mail: Jolanta.Lewandowska@univ-montp2.fr


The purpose of this paper is to develop the macroscopic model of hydro-mechanical coupling for the case of a porous medium containing isolated cracks or/and vugs. In the development, we apply the asymptotic expansion homogenization method. It is shown that the general structure of Biot's model is the same as in the case of homogeneous medium, but the poro-elastic parameters are modified. Two numerical examples are presented. They concern the computations of Biot's parameters in isotropic and anisotropic cases. It can also be seen how the presence of near-zero-volume cracks influences Biot's parameters of the porous matrix. It can significantly affect the coupled hydro-mechanical behaviour of damaged porous medium. Copyright © 2012 John Wiley & Sons, Ltd.