title: Measuring static viscous permeability of porous absorbing materials.
abstract: Conventional acoustical methods for measuring the permeability or flow resistivity of a porous material require a priori estimation of the porosity. In this work, an acoustical method is presented in which a simplified expression (independent of both the frequency and porosity) for the transmitted waves at the Darcy's regime (low frequency range) is derived, and used for the inverse determination of both the viscous static permeability (or flow resistivity) and the thickness of air-saturated porous materials. The inverse problem is solved based on the least-square numerical method using experimental transmitted waves in time domain. Tests are performed using industrial plastic foams. Experimental and numerical validation results of this method are presented, which show the advantage of measuring the viscous permeability and thickness of a porous slab, without the required prior knowledge of the porosity, but by simply using the transmitted waves.
authors.affiliation: Faculté des Sciences et de la Technologie, Université de Khemis Miliana BP 44225 Ain Defla, Algeria.
authors.forename: M
authors.initials: M
authors.lastname: Sadouki
authors.affiliation: LMA, CNRS, UPR 7051, Aix-Marseille Univ, Centrale Marseille, F-13402 Marseille Cedex 20, France.
authors.forename: Z E A
authors.initials: ZE
authors.lastname: Fellah
authors.affiliation: Laboratoire de Physique Théorique, Faculté de Physique, USTHB, BP 32 El Alia, Bab Ezzouar 16111, Algeria.
authors.forename: A
authors.initials: A
authors.lastname: Berbiche
authors.affiliation: Laboratoire de Physique Théorique, Faculté de Physique, USTHB, BP 32 El Alia, Bab Ezzouar 16111, Algeria.
authors.forename: M
authors.initials: M
authors.lastname: Fellah
authors.affiliation: Chevron, Area 52 Technology - ETC, 5 Bisbee Court, Santa Fe, New Mexico 87508.
authors.forename: F G
authors.initials: FG
authors.lastname: Mitri
authors.affiliation: LMA, CNRS, UPR 7051, Aix-Marseille Univ, Centrale Marseille, F-13402 Marseille Cedex 20, France.
authors.forename: E
authors.initials: E
authors.lastname: Ogam
authors.affiliation: LUNAM Universite du Maine, UMR CNRS 6613 Laboratoire d'Acoustique de l'Universite du Maine UFR STS Avenue O. Messiaen 72085 Le Mans CEDEX 09 France.
authors.forename: C
authors.initials: C
authors.lastname: Depollier