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arXiv · 2112.01053

Homogenization of a thermo-poro-elastic medium with two-components and interfacial hydraulic/thermal exchange barrier

Abdelhamid Ainouz
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Abstract

The paper addresses the homogenization of a micro-model of poroelasticity coupled with thermal effects for two-constituent media and with imperfect interfacial contact.The homogenized model is obtained by means of the two-scale convergence technique. It is shown that the macro-thermo-poro-elasticity model with double porosity/diffusivity contains in particular some extra terms accounting for the micro-heterogeneities and imperfect contact at the local scale. Finally, a corrector result is given under more regularity assumptions on the data.

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Abdelhamid Ainouz. 2021-12-02. Homogenization of a thermo-poro-elastic medium with two-components and interfacial hydraulic/thermal exchange barrier. https://arxiv.org/abs/2112.01053

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