%0 Journal Article
%T Hydro-mechanical coupling in damaged porous media containing isolated cracks or/and vugs: model and computations
%+ Couplages en Géomécanique et Biomécanique (CGB)
%+ Laboratoire sols, solides, structures - risques [Grenoble] (3SR)
%A Lewandowska, Jolanta
%A Auriault, Jean-Louis
%< avec comité de lecture
%J Poromechanics V
%P 1955-1963
%8 2013
%D 2013
%R 10.1061/9780784412992.231
%Z Engineering Sciences [physics]/Civil Engineering
%Z Engineering Sciences [physics]/Materials
%Z Engineering Sciences [physics]/Mechanics [physics.med-ph]/Fluids mechanics [physics.class-ph]
%Z Physics [physics]/Mechanics [physics]/Fluid mechanics [physics.class-ph]
%Z Engineering Sciences [physics]/Mechanics [physics.med-ph]/Mechanics of materials [physics.class-ph]
%Z Physics [physics]/Mechanics [physics]/Mechanics of materials [physics.class-ph]
%Z Engineering Sciences [physics]/Mechanics [physics.med-ph]/Solid mechanics [physics.class-ph]
%Z Physics [physics]/Mechanics [physics]/Solid mechanics [physics.class-ph]Journal articles
%X In this paper we present the development of the macroscopic model describing the hydro-mechanical coupling of damaged porous media containing cracks or/and vugs, by using the asymptotic expansion method. The analysis starts at the mesoscopic scale at which we assume a generic microstructure and the validity of the Biot model in the micro-porous domain saturated by a fluid. In the crack/vug domain the Stokes equation is assumed. After estimation of orders of magnitude of different terms, the description is rendered non-dimensional and the homogenization process is carried out. It leads to an extended Biot model that possesses the same mathematical structure as the initial Biot model. However, the macroscopic poro-elasticity and the macroscopic Darcy conductivity are modified. In order to illustrate the performance of the model, numerical computations of a macroscopic boundary value problem were performed. The results show practical importance of modifications introduced in the Biot model.
%G English
%2 https://hal.science/hal-00856986/document
%2 https://hal.science/hal-00856986/file/Hydro-mechanical_coupling_Lewandowska_Auriault.pdf
%L hal-00856986
%U https://hal.science/hal-00856986
%~ UGA
%~ CNRS
%~ UNIV-GRENOBLE1
%~ INPG
%~ 3S-R
%~ LMGC
%~ GENIECIVIL
%~ MIPS
%~ UNIV-MONTPELLIER
%~ UM-2015-2021