Data-driven porous models

The acoustic characterization of porous materials with rigid solid frame plays a key role in the prediction of the acoustic behavior of any dynamic system that incorporates them. In order to obtain an accurate prediction of its frequency-dependent response, a suitable choice of the parametric models for each material is essential. However, such models could be inadequate for a given material or only valid in a specific frequency range.

Figure 1: Wavenumber characterization of a composed porous material.

In this project (see [1]), a novel non-parametric methodology is proposed for the characterization of the acoustic properties of rigid porous materials. Unlike most widespread methodologies, this technique is based on the solution of a sequence of frequency-by-frequency well-posed inverse problems (see Figure 1), thus increasing the characterization accuracy. Once a reduced number of experimental measurements is available, the proposed method avoids the a priori choice of a parametric model.

References

[1] J. Carbajo, A. Prieto, J. Ramis, L. Río-Martín.
A non-parametric fluid-equivalent approach for the acoustic characterization of rigid porous materials.
Applied Mathematical Modelling, 76 (2019), 8, 330-347. (pre-print) (dataset)