Time-domain numerical modeling of acoustic wave propagation in rigid porous media.

Ilyes Moufid

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. These physical quantities are complex-valued functions depending on frequency, and can be irrational as in the Johnson-Champoux-Allard-Pride-Lafarge (JCAPL) model [1]. Hence, the system of equations derived from the EFM, initially expressed in the Fourier domain, can involve fractional derivatives in the time domain. In the present work, an investigation of the EFM based on oscillatory-diffusive representations is carried out in order to build a stable and tractable approximated model for numerical simulations.