On the Fundamental Solution of Dynamic Poroelastic Boundary Integral Equations in the Time Domain

ABSTRACT

In this article, boundary integral equations (BIE) and Laplace transform domain fundamental solutions to the u-p formulation of two-dimensional dynamic poroelasticity are derived. Time domain fundamental solutions have been derived based on the Cleary reciprocal theorem. A set of numerical results is presented to highlight the salient features of the transient fundamental solutions, their components, and accuracies of proposed approximations. Several comparisons with Chen's solution are made.

Key Words and Phrases:

• boundary integral
• fundamental solution
• dynamic
• poroelasticity
• time-domain and wave propagation.