Semi-analytical and numerical methods for computing transient waves in 2D acoustic / poroelastic stratified media

Abstract : Wave propagation in a stratified fluid / porous medium is studied here using analytical and numerical methods. The semi-analytical method is based on an exact stiffness matrix method coupled with a matrix conditioning procedure, preventing the occurrence of poorly conditioned numerical systems. Special attention is paid to calculating the Fourier integrals. The numerical method is based on a high order finite-difference time-domain scheme. Mesh refinement is applied near the interfaces to discretize the slow compressional diffusive wave predicted by Biot's theory. Lastly, an immersed interface method is used to discretize the boundary conditions. The numerical benchmarks are based on realistic soil parameters and on various degrees of hydraulic contact at the fluid / porous boundary. The time evolution of the acoustic pressure and the porous velocity is plotted in the case of one and four interfaces. The excellent level of agreement found to exist between the two approaches confirms the validity of both methods, which cross-checks them and provides useful tools for future researches.
Complete list of metadatas

Cited literature [41 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-00667795
Contributor : Bruno Lombard <>
Submitted on : Wednesday, April 18, 2012 - 5:27:14 PM
Last modification on : Friday, March 22, 2019 - 11:46:23 AM
Long-term archiving on : Thursday, July 19, 2012 - 2:31:24 AM

Files

Wm1-V2.pdf
Files produced by the author(s)

Identifiers

Citation

Gaëlle Lefeuve-Mesgouez, Arnaud Mesgouez, Guillaume Chiavassa, Bruno Lombard. Semi-analytical and numerical methods for computing transient waves in 2D acoustic / poroelastic stratified media. Wave Motion, Elsevier, 2012, 49-7, pp.667-680. ⟨10.1016/j.wavemoti.2012.04.006⟩. ⟨hal-00667795v2⟩

Share

Metrics

Record views

474

Files downloads

285