Poroelasticity and damage theory for saturated cracked media
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First, basic results of linear homogenization applied to porous media are presented and applied in order to derive a linear poroelasticity theory for saturated cracked materials. The emphasis is put on the geometrical modelling of the cracks as well as on the cracks-induced anisotropy. The effect of interactions between cracks and the role of the spatial distribution of cracks on the poroelastic properties are also analyzed. The non linear poroelastic behavior of cracked media due to the progressive cracks closure is also investigated. The last section is devoted to damage induced by crack propagation.
KeywordsCrack Closure Crack Density Stiffness Tensor Damage Criterion Macroscopic Stress
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- M. Bouteca, D. Bary, J.-M. Piau, N. Kessler, M. Boisson, and D. Fourmaintraux. Contribution of poroelasticity to reservoir engineering: lab experiments, application to core decompression and implication in hp-ht reservoirs depletion. In Proceedings of Eurock’94, Delft, 1994. Balkema, Rotterdam.Google Scholar
- J.-L. Chaboche. Damage induced anisotropy: on the difficulties associated with the active/passive unilateral conditions. Int. J. Damage Mech., 2:311–329, 1992.Google Scholar
- V. Deudé, L. Dormieux, D. Kondo, and V. Pensée. Non linear elastic properties of a mesocracked medium. C. R. Acad. Sci. Paris, série IIb, t. 330:587–592, 2002b.Google Scholar
- L. Dormieux, E. Lemarchand, D. Kondo, and E. Fairbairn. Elements of poromicromechanics applied to concrete. Concrete Sc. Eng. Mater. Struct., 265:31–42, 2004.Google Scholar
- D. Krajcinowic. Damage mechanics. North Holland, 1996.Google Scholar
- M. Lion, F. Skoczylas, and B. Ledésert. Determination of the main hydraulic and poroelastic properties of a limestone from bourgogne, france. Int. J. Rock Mech. Mining Sci., to appear, 2005.Google Scholar
- T. Mura. Micromechanics of defects in solids, 2nd edition. Martinus Nijhoff Publ., 1987.Google Scholar
- S. Murakami and K. Kamiya. Constitutive and damage evolution equations in elastic-brittle materials based on irreversible thermodynamics. Int. J. Mech. Sci., 39(4), 1997.Google Scholar
- S. Nemat-Nasser and M. Horii. Micromechanics: overall properties of heterogeneous materials. North Holland, 1993.Google Scholar
- A. Zaoui. In P. Suquet, editor, Continuum micromechanics. Springer, 1997.Google Scholar
- R.W. Zimmermann. Compressibility of sandstones. Elsevier, 1991.Google Scholar