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

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.

submitted to the Journal of Computational and Applied Mathematics (2008)

Cited by in corpus (3)

• Biot-JKD model: simulation of 1D transient poroelastic waves with fractional derivatives
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