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

TL;DR

This paper develops a homogenized macro-scale model for thermo-poro-elastic media with two components and imperfect interfaces, capturing micro-heterogeneities and interfacial exchange effects using two-scale convergence.

Contribution

It introduces a homogenization approach for thermo-poro-elastic media with two components and imperfect contact, deriving a model with additional terms for micro-heterogeneities.

Findings

Derived a macro-model incorporating micro-heterogeneity effects.

Showed the presence of extra terms due to imperfect interfaces.

Provided a corrector result under regularity assumptions.

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.