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.

考虑了平面压缩声波在来自球形多孔弹性夹杂物的流体中的散射问题。夹杂物中的弹性波传播由 Biot 理论方程描述。夹杂物中的波场由快、慢的纵波和横波组成。在夹杂物外，形成散射的球面纵波。根据球面贝塞尔函数和勒让德多项式，可以得到孤立夹杂物的解。该解决方案用于计算在含有一组多孔弹性包裹体（悬浮液）的流体中传播的纵波的有效波数。为了推导有效波数，使用了多重散射理论。