Scattering of elastic wave from poroelastic inclusions located in a fluid

Abstract

The problem of scattering of a plane compressional acoustic wave in a fluid from a spherical poroelastic inclusion is considered. The elastic wave propagation in the inclusion is described by the equations of the Biot theory. The wave field in the inclusion consists of fast and slow compressional and shear waves. Outside the inclusion, a scattered spherical compressional wave is formed. The solution for an isolated inclusion is obtained in terms of series of spherical Bessel functions and Legendre polynomials. This solution is used for the calculation of effective wave number of compressional wave propagating in the fluid containing a set of poroelastic inclusions (suspension). For deriving the effective wave number, the theory of multiple scattering is used. It is shown that the effective wave number depends strongly on hydrodynamic permeability of inclusions and fluid properties in the inclusion pore space.

KEYWORDS:

• Scattering
• complex media
• multiple scattering
• propagation

Acknowledgement

The authors thank Professors Valery Levin and Sergey Kanaun for useful discussion.

Disclosure statement

No potential conflict of interest was reported by the author(s).