Porothermoelasticity in Transversely Isotropic Porous Materials

摘要

A porothermoelastic theory for saturated porous elastic materials has been presented. Constitutive equations for the most general case were presented and specializations for orthotropy, transverse isotropy, and isotropy were carried out to identify the material constants required to define the system. Although theoretical developments have accomplished development of governing equations to describe behaviors of anisotropic poroelastic materials under non-isothermal conditions, the experimental research is still lacking in measurement of these fundamental constants. The solution for an inclined borehole in a transversely isotropic poroelastic formation subject to a temperature gradient via difference in borehole fluid and formation temperature has been presented. Although the solution is limited for the case where the isotropic plane is perpendicular to the borehole axis, it is still a unique solution in transversely isotropic porothermoelasticity and can serve as a benchmark for validating numerical codes.