Hydro-mechanical coupling in damaged porous media containing isolated cracks or/and vugs: model and computations

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

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

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.

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. Hydro-mechanical coupling in damaged porous media containing isolated cracks or/and vugs: model and computations. Poromechanics V, 2013, pp.1955-1963. ⟨10.1061/9780784412992.231⟩. ⟨hal-00856986⟩