Communications in Mathematical Sciences
Volume 12 (2014)
Exact nonreflecting boundary conditions for three dimensional poroelastic wave equations
Pages: 61 – 98
Simulation of waves in complex poroelastic media is crucial in providing important geophysical information that cannot be obtained via simple elastic or acoustic models. Thus there is a need to design an artificial boundary condition for simulation using the numerical approximation of such a problem. In this paper, our aim is to derive an exact nonreflecting boundary condition for the three dimensional poroelastic wave equations based on the Grote-Keller method. The proposed boundary condition is nonlocal in space, but local in time and can be coupled easily with standard numerical approaches for the computation of numerical solutions. Numerical results computed by the finite difference method demonstrate the effectiveness of our method.
poroelastic wave equations, wave propagation in porous media, exact nonreflecting boundary conditions, artificial boundary conditions
2010 Mathematics Subject Classification
35L05, 35L20, 35Mxx, 78A40, 78A45