Elastic solutions of an isothermal impervious cross-anisotropic half space due to hot fluid injection

Abstract

The integral transform techniques are used to derive the closed-form solutions of a homogeneous cross-anisotropic half space with an isothermal impervious ground surface subjected to a hot fluid injection. The study developed a mathematical model for the distribution of temperature changes, excess pore fluid pressure and land deformation of the half space of strata. Analytic solutions are derived through the application of Hankel transform and Fourier transform with respect to the radial coordinate and axial coordinate, respectively. The results can provide better understanding of the hot fluid injection induced isothermal impervious half space responses of the cross-anisotropic porous strata.