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.