A numerical investigation of the relative scattering of Biot fast and slow waves by a spherical inclusion in a poroelastic medium

Abstract

The relative scattering of Biot fast and slow wave pulses by a spherical inclusion in a poroelastic medium is computed by applying the single frequency steady-state solution of Zimmerman and Stern [J. Acoust. Soc. Am. 94, 527–536 (1993)] to the discrete Fourier components of an incident pulse, and employing linear superposition. The solution of Zimmerman and Stern is an analytical series solution whose convergence is primarily determined by computation precision, which imposes certain limits on the frequency and size of the inclusion. Within these limits, the scattered signals are computed as a function of scattering angle and range for broadband incident fast and slow wave pulses. The findings are compared to experimental observations. [Work supported by the Naval Research Laboratory, Stennis Space Center.]