dorsal/arxiv
View SchemaAcoustic wave propagation in a macroscopically inhomogeneous porous medium saturated by a fluid
| Authors | Laurent De Ryck, Jean-Philippe Groby, Philippe Leclaire, Walter Lauriks, Armand Wirgin, Claude Dépollier, Zine El Abidine Fellah |
|---|---|
| Categories | |
| ArXiv ID | physics/0605259 |
| URL | https://arxiv.org/abs/physics/0605259 |
| DOI | 10.1063/1.2431570 |
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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"date_created": "2026-03-02T18:01:07.903000Z",
"date_modified": "2026-03-02T18:01:07.903000Z",
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"abstract": "The equations of motion in a macroscopically inhomogeneous porous medium\nsaturated by a fluid are derived. As a first verification of the validity of\nthese equations, a two-layer rigid frame porous system considered as one single\nporous layer with a sudden change in physical properties is studied. A simple\nwave equation is derived and solved for this system. The reflection and\ntransmission coefficients are calculated numerically using a wave\nsplitting-Green\u0027s function approach (WS-GF). The reflected and transmitted wave\ntime histories are also simulated. Experimental results obtained for materials\nsaturated by air are compared to the results given by this approach and to\nthose of the classical transfer matrix method (TMM).",
"arxiv_id": "physics/0605259",
"authors": [
"Laurent De Ryck",
"Jean-Philippe Groby",
"Philippe Leclaire",
"Walter Lauriks",
"Armand Wirgin",
"Claude D\u00e9pollier",
"Zine El Abidine Fellah"
],
"categories": [
"physics.flu-dyn",
"physics.gen-ph"
],
"doi": "10.1063/1.2431570",
"title": "Acoustic wave propagation in a macroscopically inhomogeneous porous medium saturated by a fluid",
"url": "https://arxiv.org/abs/physics/0605259"
},
"schema_id": "dorsal/arxiv",
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