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

Jolanta Lewandowska (1, 2) , Jean-Louis Auriault (3)

1 LMGC - Laboratoire de Mécanique et Génie Civil
2 CGB - Couplages en Géomécanique et Biomécanique
3 3SR - Laboratoire sols, solides, structures - risques [Grenoble]

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 expansions 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-zerovolume cracks influences Biot's parameters of the porous matrix. It can significantly affect the coupled hydro-mechanical behaviour of damaged porous medium.

Mots clés: porous media; cracks; damage; hydro-mechanical coupling; Biot's model; homogenization; numerical computations

Domaines: Génie civil; Matériaux; Mécanique des fluides [physics.class-ph]; Mécanique des fluides [physics.class-ph]; Mécanique des matériaux [physics.class-ph]; Mécanique des matériaux [physics.class-ph]; Mécanique des solides [physics.class-ph]; Mécanique des solides [physics.class-ph]

Jolanta Lewandowska, Jean-Louis Auriault. Extension of Biot theory to the problem of saturated microporous elastic media with isolated cracks or/and vugs. International Journal for Numerical and Analytical Methods in Geomechanics, 2012, pp.Voir DOI. ⟨10.1002/nag.2150⟩. ⟨hal-00827674⟩