@Article{CiCP-13-985,
author = {Guillaume Chiavassa and Bruno Lombard},
title = {Wave Propagation Across Acoustic/Biot's Media: A Finite-Difference Method},
journal = {Communications in Computational Physics},
year = {2013},
volume = {13},
number = {4},
pages = {985--1012},
abstract = {<p style="text-align: justify;">Numerical methods are developed to simulate the wave propagation in heterogeneous 2D fluid/poroelastic media. Wave propagation is described by the usual acoustics equations (in the fluid medium) and by the low-frequency Biot&#39;s equations (in the porous medium). Interface conditions are introduced to model various hydraulic contacts between the two media: open pores, sealed pores, and imperfect pores. Well-posedness of the initial-boundary value problem is proven. Cartesian grid numerical methods previously developed in porous heterogeneous media are adapted to the present context: a fourth-order ADER scheme with Strang splitting for time-marching; a space-time mesh-refinement to capture the slow compressional wave predicted by Biot&#39;s theory; and an immersed interface method to discretize the interface conditions and to introduce a subcell resolution. Numerical experiments and comparisons with exact solutions are proposed for the three types of interface conditions, demonstrating the accuracy of the approach.&nbsp;</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.140911.050412a},
url = {http://global-sci.org/intro/article_detail/cicp/7261.html}
}