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

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:234

Article; Proceedings Paper

Chiavassa, Guillaume^1,2  Lombard, Bruno³  Piraux, Joel³ 

[1] Ecole Cent Marseille, F-13451 Marseille, France

[2] MSNM GP, F-13451 Marseille, France

[3] Lab Mecan & Acoust, F-13402 Marseille, France

关键词: Elastic waves;    Porous media;    Biot's model;    Time-splitting;    ADER schemes;    Space time mesh refinement;    Immersed interface method;   

DOI  :  10.1016/j.cam.2009.08.025

来源: Elsevier

【 摘 要 】

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. (C) 2009 Elsevier B.V. All rights reserved.

【 授权许可】

Free