Scattering of elastic wave from poroelastic inclusions located in a fluid. (English) Zbl 1504.74043
The authors consider the problem of scattering of a plane compressional elastic wave in a fluid from a spherical poroelastic inclusion. The elastic wave propagation in the inclusion is described by the equations based on the Biot theory. The wave field in the inclusion consists of fast and slow compressional and shear waves. Due the presence of the inclusion a spherical compressional wave is produced outside the inclusion. 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. 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. The dependence of phase displacement, velocity and frequency is graphically displayed against porosity and permeability.
Reviewer: Fiazud Din Zaman (Lahore)
MSC:
| 74J20 | Wave scattering in solid mechanics |
| 74F10 | Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) |
| 74E05 | Inhomogeneity in solid mechanics |
| 74H10 | Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics |
| 76S05 | Flows in porous media; filtration; seepage |
Keywords:
Biot theory; multiple scattering; series solution; spherical Bessel function; Legendre polynomial; effective wave number; hydrodynamic permeabilityReferences:
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