Abstract of the paper ``Scattering by a spherical inhomogeneity in a fluid-saturated porous medium''

A fast compressional wave incident on an inhomogeneity in a fluid-saturated porous medium will produce three scattered elastic waves: a fast compressional wave, a slow compressional wave, and a shear wave. This problem is formulated as a multipole expansion using Biot's equations of poroelasticity. The solution for the first term (n=0) in the multipole series involves a 4x4 system which is solved analytically in the long-wavelength limit. All higher-order terms (n >=1) require the solution of a 6x6 system. A procedure for solving these equations by splitting the problem into a 4x4 system and a 2x2 system and then iterating is introduced. The first iterate is just the solution of the elastic wave scattering problem in the absence of fluid effects. Higher iterates include the successive perturbation effects of fluid/solid interaction.

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