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Acoustic wave propagation in a macroscopically inhomogeneous porous medium saturated by a fluid

Laurent De Ryck·Jean-Philippe Groby·Philippe Leclaire·Walter Lauriks·Armand Wirgin·Claude Dépollier·Zine El Abidine Fellah
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Abstract

The equations of motion in a macroscopically inhomogeneous porous medium saturated by a fluid are derived. As a first verification of the validity of these equations, a two-layer rigid frame porous system considered as one single porous layer with a sudden change in physical properties is studied. A simple wave equation is derived and solved for this system. The reflection and transmission coefficients are calculated numerically using a wave splitting-Green's function approach (WS-GF). The reflected and transmitted wave time histories are also simulated. Experimental results obtained for materials saturated by air are compared to the results given by this approach and to those of the classical transfer matrix method (TMM).

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Laurent De Ryck, Jean-Philippe Groby, Philippe Leclaire, Walter Lauriks, Armand Wirgin, Claude Dépollier, Zine El Abidine Fellah. 2006-05-31. Acoustic wave propagation in a macroscopically inhomogeneous porous medium saturated by a fluid. https://doi.org/10.1063/1.2431570

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