Simultaneous determination of porosity, tortuosity, viscous and thermal characteristic lengths of rigid porous materials

Zine El Abiddine Fellah (1) , Mustapha Sadouki (2) , Mohamed Fellah (3) , F. G. Mitri (4) , Erick Ogam (1) , Claude Dépollier (5)

1 O&I - Ondes et Imagerie
2 USTHB - Université des Sciences et de la Technologie Houari Boumediene = University of Sciences and Technology Houari Boumediene [Alger]
3 LPT - Laboratoire de Physique Théorique [University of Science and Technology Houari Boumediene]
4 Los Alamos Natl Lab,
5 LAUM - Laboratoire d'Acoustique de l'Université du Mans

We present an improved method for the characterization of air-saturated porous materials by simultaneous measurement of porosity, tortuosity, viscous and thermal characteristic lengths via ultrasonic transmission only. The proposed method is based on a temporal model of the direct and inverse scattering problem for the transient ultrasonic waves in a homogeneous isotropic slab of rigid porous material. The advantage of the proposed method is that the four parameters are determined simultaneously using just transmitted experimental wave from a porous material saturated by one gas (air). In addition, no relationship is assumed between the two characteristic lengths.

Mots clés: Porous materials; Viscosity; Thermal properties; Mechanical waves; Inverse problems; Ultrasonics

Domaines: Acoustique [physics.class-ph]; Acoustique [physics.class-ph]

Zine El Abiddine Fellah, Mustapha Sadouki, Mohamed Fellah, F. G. Mitri, Erick Ogam, et al.. Simultaneous determination of porosity, tortuosity, viscous and thermal characteristic lengths of rigid porous materials. Journal of Applied Physics, 2013, 114 (21), pp.204902. ⟨10.1063/1.4833546⟩. ⟨hal-00903319⟩