A time domain model of transient acoustic wave propagation in double-layered porous media

Abstract : This paper concerns a time-domain model of transient wave propagation in double-layered porous materials. An analytical derivation of reflection and transmission scattering operators is given in the time domain. These scattering kernels are the medium’s responses to an incident acoustic pulse. The expressions obtained take into account the multiple reflections occurring at the interfaces of the double-layered material. The double-layered porous media consist of two slabs of homogeneous isotropic porous materials with a rigid frame. Each porous slab is described by a temporal equivalent fluid model, in which the acoustic wave propagates only in the fluid saturating the material. In this model, the inertial effects are described by the tortuosity; the viscous and thermal losses of the medium are described by two susceptibility kernels which depend on the viscous and thermal characteristic lengths. Experimental and numerical results are given for waves transmitted and reflected by double-layered porous media formed by air-saturated plastic foam samples.
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Journal of the Acoustical Society of America, Acoustical Society of America, 2005, 118, pp.661-670. 〈10.1121/1.1953247〉
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Zine El Abiddine Fellah, Armand Wirgin, Mohamed Fellah, Naima Sebaa, Claude Depollier, et al.. A time domain model of transient acoustic wave propagation in double-layered porous media. Journal of the Acoustical Society of America, Acoustical Society of America, 2005, 118, pp.661-670. 〈10.1121/1.1953247〉. 〈hal-00088188〉

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