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Inverse estimation of the permeability of porous materials using experimental data via reflected waves at low frequencies

Abstract : An acoustic reflectivity method is proposed for measuring the permeability or flow resistivity of air-saturated porous materials. In this method, a simplified expression of the reflection coefficient is derived in the Darcy's regime (low frequency range), which does not depend on frequency and porosity. Numerical simulations show that the reflection coefficient of a porous material can be approximated by its simplified expression obtained from its Taylor development to the first order. This approximation is good especially for resistive materials (of low permeability) and for the lower frequencies. The permeability is reconstructed by solving the inverse problem using waves reflected by plastic foam samples, at different frequency bandwidths in the Darcy regime. The proposed method has the advantage of being simple compared to the conventional methods that use experimental reflected data, and is complementary to the transmissivity method which is more adapted to low resistive materials (high permeability).
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https://hal.archives-ouvertes.fr/hal-01318155
Contributeur : Zine El Abiddine Fellah <>
Soumis le : dimanche 29 mai 2016 - 17:19:58
Dernière modification le : jeudi 5 novembre 2020 - 03:12:09
Archivage à long terme le : : mardi 30 août 2016 - 10:00:52

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A Berbiche, Mustapha Sadouki, Z.E.A Fellah, Erick Ogam, Mohamed Fellah, et al.. Inverse estimation of the permeability of porous materials using experimental data via reflected waves at low frequencies. Journal of Applied Physics, American Institute of Physics, 2016, 119 (014906), ⟨10.1063/1.4939073⟩. ⟨hal-01318155⟩

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