Wave propagation across acoustic / Biot's media: a finite-difference method

Abstract : 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'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-possedness 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'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.
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https://hal.archives-ouvertes.fr/hal-00623627
Contributor : Bruno Lombard <>
Submitted on : Thursday, April 5, 2012 - 2:24:26 PM
Last modification on : Monday, March 4, 2019 - 2:04:22 PM
Long-term archiving on : Friday, July 6, 2012 - 2:37:00 AM

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Guillaume Chiavassa, Bruno Lombard. Wave propagation across acoustic / Biot's media: a finite-difference method. Communications in Computational Physics, Global Science Press, 2013, 13 (4), pp.985-1012. ⟨10.4208/cicp.140911.050412a⟩. ⟨hal-00623627v2⟩

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