Mathematical model for coupled flow and damage in thermoporoelastic medium

In this paper we propose a mathematical model for thermoporoelastic medium with damage. The model considers a two-phase medium consisting of a porous skeleton and a mobile fluid. The evolution of the medium state is described by the system of mass, momentum and energy conservation laws. Constitutive relation are obtained by using the Coleman–Noll procedure, which ensures the fulfillment of the thermodynamic consistency. Damage of the medium is modeled within the framework of the continuum damage theory propsed by Kachanov and Rabotnov.