Precise Solution to 3D Coupled Thermohydromechanical Problems of Layered Transversely Isotropic Saturated Porous Media

This paper presents a precise solution to coupled thermohydromechanical problems of layered, transversely isotropic, saturated, porous media with a heat source or a temperature increment with the aid of integral transform techniques. On the basis of governing equations of three-dimensional (3D) coupled thermohydromechanical problems of saturated porous media, a standard differential matrix equation was deduced by using the Laplace-Fourier transform. In this paper, an extended precise-integration method for a layered system with an internal or surface load is introduced. It was used to solve the previous standard differential equation in the transformed domain. Real solutions in the physical domain were obtained by using the numerical inversion of the Laplace-Fourier transform. The precision of the presented theory was confirmed by two examples, and the effects of the anisotropic permeability and the transverse isotropic characteristics on the thermohydromechanical coupling behavior of layered saturated media are described.