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Extension of Biot theory to the problem of saturated microporous elastic media with isolated cracks or/and vugs
Author(s) -
Lewandowska J.,
Auriault J.L.
Publication year - 2013
Publication title -
international journal for numerical and analytical methods in geomechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.419
H-Index - 91
eISSN - 1096-9853
pISSN - 0363-9061
DOI - 10.1002/nag.2150
Subject(s) - biot number , isotropy , homogenization (climate) , porous medium , anisotropy , microporous material , computation , poromechanics , materials science , mechanics , porosity , mathematics , physics , composite material , biodiversity , ecology , algorithm , quantum mechanics , biology
SUMMARY 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.