Numerical modeling of 1-D transient poroelastic waves in the low-frequency range
Geophysics
2010-05-06 v2 Numerical Analysis
Abstract
Propagation of transient mechanical waves in porous media is numerically investigated in 1D. The framework is the linear Biot's model with frequency-independant coefficients. The coexistence of a propagating fast wave and a diffusive slow wave makes numerical modeling tricky. A method combining three numerical tools is proposed: a fourth-order ADER scheme with time-splitting to deal with the time-marching, a space-time mesh refinement to account for the small-scale evolution of the slow wave, and an interface method to enforce the jump conditions at interfaces. Comparisons with analytical solutions confirm the validity of this approach.
Keywords
Cite
@article{arxiv.0711.4942,
title = {Numerical modeling of 1-D transient poroelastic waves in the low-frequency range},
author = {Guillaume Chiavassa and Bruno Lombard and Joël Piraux},
journal= {arXiv preprint arXiv:0711.4942},
year = {2010}
}
Comments
submitted to the Journal of Computational and Applied Mathematics (2008)