Direct problem for reflected wave at the first interface of a rigid porous medium in Darcy's regime

Abstract

In this paper, the direct problem of reflected waves at the first interface of a porous medium having a rigid frame is studied. The method presented in this work is based on a temporal model of the direct problem in which a simplified expression of the reflection coefficient at Darcy's regime (low frequency range) is established using the equivalent fluid model. This expression depends only on the porosity and the viscous permeability (or the flow resistivity) of the medium. The simulated reflected wave is obtained in the time domain by convolution between the reflected operator and the incident field. Experimental results are given for samples of air-saturated plastic foams and compared with theoretical predictions.