Abstract
Wave propagation in a viscoelastic and porous medium, whose properties are temperature and frequency dependent, was investigated. The propagation characteristics of compressional waves in such a medium cannot be predicted using single scattering models when the porosity of the medium is considerable. Different from a previous study [Y. Ms, V. K. Varadan, and V. V. Varadan, ASME J. Heat Transfer 112, 402–407 (1990)], which was for electromagnetic waves, this investigation provided another proof of enhanced attenuation due to dependent scattering for the acoustic case. Most importantly, this is a problem of an elastic wave propagation in a lossy host medium with lossless scatterers which has seldom been considered. Numerical results of phase velocity as well as of attenuation of such a medium for different temperatures and different frequencies are presented. Differences in results between single and multiple scattering when the porosity is increased are also shown. Numerical results considering multiple scattering compare favorably with those from the experimental work which was done independently by G.E.R.D.S.M. in France. [Work supported by CEEAM.]
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