METHODOLOGY FOR MODELING NON-STATIONARY TRANSVERSE WAVE PROCESSES IN SIMPLY CONNECTED AND DOUBLY CONNECTED POROELASTIC DOMAINS WITH A SPHERICAL OBSTACLE
DOI:
https://doi.org/10.60078/3060-4842-2025-vol2-iss6-pp684-691Abstract
This paper presents a methodology for mathematical and numerical modeling of nonstationary transverse wave processes in porous-elastic media containing a spherical obstacle. Simply and doubly connected domains are considered, allowing for the influence of the domain's internal structure on wave propagation and scattering. The study is based on Biot's linear theory of porous-elasticity. Boundary-value and initial-boundary-value problems for the equations of motion are constructed, conjugation conditions at the boundary of the spherical obstacle are formulated, and effective methods for their numerical solution are proposed. The obtained results have practical implications for problems in geophysics, porous media acoustics, and engineering mechanics.
Keywords:
porous-elastic medium shear waves nonstationary processes spherical obstacle simply connected domain doubly connected domain Biot modelReferences
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