Communication Dans Un Congrès Année : 2022

Stability analysis of the JCAPL equivalent fluid model equations for porous media

Résumé

The equivalent fluid model (EFM) describes the acoustic properties of rigid porous media by defining it as a fluid with an effective density and an effective compressibility. Their definition are based on the dynamic tortuosity α and the dynamic compressibility β, known to be complexvalued functions depending on frequency. Among the different models describing α and β, this paper focuses on the Johnson-Champoux-Allard-Pride-Lafarge (JCAPL) model [1] where these parameters are defined as irrational functions, behaving like fractional derivatives in the time domain. Here, we present the proof of stability of the time-domain EFM using the JCAPL model thanks to their oscillatory-diffusive (OD) representations.

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Dates et versions

hal-03769040 , version 1 (13-09-2022)

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  • HAL Id : hal-03769040 , version 1

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Ilyes Moufid, Denis Matignon, Rémi Roncen, Estelle Piot. Stability analysis of the JCAPL equivalent fluid model equations for porous media. Waves 15th International Conference on Mathematical and Numerical Aspects of Wave Propagation 2022, Jul 2022, Palaiseau, France. pp. 246-247. ⟨hal-03769040⟩
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