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ESTIMATION DES PROPRIETES POROMECANIQUES EFFECTIVES DES ARGILITES: APPORT DES METHODES D'HOMOGENEISATION

Abstract : This thesis contributes to the analysis of the anisotropic effects in the determination of the poroelastic properties of the porous rocks. After a bibliographical study, the influence of the form and distribution in orientation of the pores on the anisotropy of the rocks were studied. The homogenization scheme in this thesis is that of Mori-Tanaka.

The estimate of the effective coefficients poroelastic of heterogeneous materials of type rocks-like composites characterized by a transverse isotropic matrix containing solid mineral inclusions of roughly spherical form was carried out in using the analytical solution of a spherical inclusion isolated in an infinite transverse isotropic matrix.

Thereafter, we are interested in the taking into account of spheroidal inclusions of which orientation does not coincid with the orthogonal axis of revolution of the matrix. We propose a numerical approach of integration based on the Green function. Numerical integrate on the unit sphere is carried out using a method of Gauss of which the precision is discussed. The developed numerical tool is applied to a porous rock by considering a homogenization scheme in two stages and various functions of distribution of orientation. Respective influences of pore space anisotropy and matrix anisotropy are clearly distinguished and analyzed.
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https://tel.archives-ouvertes.fr/tel-00180319
Contributor : Quoc-Vu Huynh <>
Submitted on : Thursday, October 18, 2007 - 4:39:08 PM
Last modification on : Monday, November 9, 2020 - 9:46:03 AM
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Quoc Vu Huynh. ESTIMATION DES PROPRIETES POROMECANIQUES EFFECTIVES DES ARGILITES: APPORT DES METHODES D'HOMOGENEISATION. Sciences de l'ingénieur [physics]. Institut National Polytechnique de Lorraine - INPL, 2006. Français. ⟨tel-00180319⟩

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