Abstract
The scattering of acoustic waves in an unbounded elastic medium containing a great number of uniformly distributed fluid-filled closed spherical pores of the same size is studied in this paper. Relations between wave slowness and porosity are derived in the lowest long-wavelength approximation both for the compressional and shear waves. The results agree well with the experimental data. The Rayleigh’s fourth power law for the decay constants is also derived. The fluid inside the pore is assumed to be inviscid. The relations obtained are useful for geophysical exploration. As by-products, equivalent Lamé constants of the porous elastic medium are also obtained.
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