Material coefficients of multiphase thermoporoelasticity for anisotropic micro-heterogeneous porous media

Constitutive equations of thermoporoelasticity for two-phase fluid system derived by Coussy (2007) are extended to those for multiphase system with anisotropic micro-heterogeneous porous media. All the material coefficients are found to be expressed by coefficients common to saturated thermoporoelasticity and saturation-dependent effective stress coefficients. Experimental conditions to evaluate thermal pore expansivity and saturation dependent effective stress coefficients are also presented. Material coefficients for orthotropy and transverse isotropy, which are often seen in actual porous media, are explicitly listed to facilitate application.