Homogenization Approach of Advection and Diffusion in Cracked Porous Material
Publication: Journal of Engineering Mechanics
Volume 127, Issue 12
Abstract
The present paper aims at studying the effect of microcracks opening on the diffusion and advection processes in a saturated porous medium. It is based on a micromechanical homogenization approach. The effects of porosity and microcracks are addressed in microscopic and mesoscopic levels to yield estimates of the effective diffusion and permeability tensors. Closed-form expressions and numerical results are obtained. For instance, the effect of the crack density parameter ε on the overall properties is discussed: (1) for a given value of ε, the maximum overall diffusion coefficient decreases for increasing values of crack radius; and (2) for large crack opening, the overall permeability is mainly controlled by ε and almost independent of the applied stress and the crack radius.
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Received: Oct 6, 2000
Published online: Dec 1, 2001
Published in print: Dec 2001
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