Speaker
Description
We present an approach to solve the equations of thermo-poroelasticity. This system describes the dynamics of an elastic solid, which contains pores which are filled with a liquid. The model gives a coupled system that consists of one elliptic equation, describing the elastic deformation of the solid under physical stress and two parabolic equations, for the flow and the temperature of the liquid arising from pressure gradients. Within this talk, we concentrate on the time discretization of such a system. In particular, we are interested in semi-explicit methods which decouple the equations. By considering the pressure and the temperature as one vector-valued unknown, we regain the structure of linear poroelasticity. By applying known methods for weakly coupled poroelasticity, we derive a novel partially decoupled integration scheme for thermo-poroelasticy under certain assumptions on the coupling strength.
