Transient boundary element formulation for linear poroelasticity

The transient boundary integral equations for linear, isotropic poroelasticity are derived from a reciprocal theorem. Green's functions needed in the integral equations are found by a variable transformation technique originally proposed by Biot. This technique seperates the displacement field into an undrained part satisfying the Navier equation of elasticity and an irrotational part governed by a diffusion equation. Fundamental expressions of an instantaneous point force and a fluid dilatation are obtained in two and three dimensions. The resultant transient integral equations can be numerically implemented in a boundary element procedure for the solution of boundary value problems in poroelasticity.