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Numerical methods are developed to simulate the wave propagation inheterogeneous 2D fluid / poroelastic media. Wave propagation is described bythe usual acoustics equations (in the fluid medium) and by the low-frequencyBiot's equations (in the porous medium). Interface conditions are introduced tomodel various hydraulic contacts between the two media: open pores, sealedpores, and imperfect pores. Well-possedness of the initial-boundary valueproblem is proven. Cartesian grid numerical methods previously developed inporous heterogeneous media are adapted to the present context: a fourth-orderADER scheme with Strang splitting for time-marching; a space-timemesh-refinement to capture the slow compressional wave predicted by Biot'stheory; and an immersed interface method to discretize the interface conditionsand to introduce a subcell resolution. Numerical experiments and comparisonswith exact solutions are proposed for the three types of interface conditions,demonstrating the accuracy of the approach.

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