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Addressing the ill-posedness of multi-layer porous media characterization in impedance tubes through the addition of air gaps behind the sample: numerical validation
Abstract : This paper is concerned with plane wave propagation in multi-layer assemblies of rigid isotropic porous media inside impedance tubes. The focus is placed on the inverse problem, i.e., the retrieval of the intrinsic properties defining the pore micro-structure of each layer: the porosity, the pore mean size and the pore size standard deviation. Each layer is considered isotropic. Such an inverse problem can be ill-posed due to the non-uniqueness of the solution. The technique explored in this work is the consideration of additional acoustic observations, where air gaps are placed behind the multi-layer assembly. The aptitude of this strategy to overcome the ill-posedness of the inverse problem is evaluated on numerical synthetic data, on assemblies made of three layers. For a given fixed amount of input data, inverse problems including different observations with air gaps can yield more accurate results, removing the ill-posedness.
https://hal.archives-ouvertes.fr/hal-03410907
Contributeur : Zine El Abiddine Fellah Connectez-vous pour contacter le contributeur
Soumis le : lundi 1 novembre 2021 - 21:13:22
Dernière modification le : vendredi 7 janvier 2022 - 12:52:51
Contributeur : Zine El Abiddine Fellah Connectez-vous pour contacter le contributeur
Soumis le : lundi 1 novembre 2021 - 21:13:22
Dernière modification le : vendredi 7 janvier 2022 - 12:52:51
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Distributed under a Creative Commons Paternité - Pas d'utilisation commerciale - Pas de modification 4.0 International License