Quasi Three-Dimensional Analysis of Poroelastic Medium with Multi-Layered Circular Inclusions

Abstract

In this paper, the theoretical solutions with multi-layered circular inclusions inclined to the far-field principal stresses are presented. The medium, which is permeated by fluid, is assumed to behave as a poroelastic material with compressible constituents, while the multi-layered circular inclusions are considered as classical elastic materials. The poroelastic solutions are derived in the Laplace transform space, and are transformed to the time domain using an approximate numerical inversion technique. Several numerical examples are shown graphically.