Numerical modeling of 1D transient poroelastic waves in the low-frequency range

Authors:
Guillaume Chiavassa;Bruno Lombard;Joël Piraux
Affiliations:
Ecole Centrale de Marseille and MSNM-GP, 13451 Marseille, France;Laboratoire de Mécanique et d'Acoustique, 13402 Marseille, France;Laboratoire de Mécanique et d'Acoustique, 13402 Marseille, France
Venue:
Journal of Computational and Applied Mathematics
Year:
2010

Citing 5
Cited 2

Adaptive Mesh Refinement Using Wave-Propagation Algorithms for Hyperbolic Systems

SIAM Journal on Numerical Analysis
Numerical solution of the poroviscoelastic wave equation on a staggered mesh

Journal of Computational Physics
A new interface method for hyperbolic problems with discontinuous coefficients: one-dimensional acoustic example

Journal of Computational Physics
Wave field simulation for heterogeneous porous media with singular memory drag force

Journal of Computational Physics
An Error Analysis of Conservative Space-Time Mesh Refinement Methods for the One-Dimensional Wave Equation

SIAM Journal on Numerical Analysis

Time domain numerical modeling of wave propagation in 2D heterogeneous porous media

Journal of Computational Physics
Biot-JKD model: Simulation of 1D transient poroelastic waves with fractional derivatives

Journal of Computational Physics

Quantified Score

Hi-index	7.31

Visualization

Abstract

Propagation of transient mechanical waves in porous media is numerically investigated in 1D. The framework is the linear Biot model with frequency-independent 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.