An ultrasonic reflectivity method is proposed for measuring porosity and tortuosity of porous materials having a rigid frame. Porosity is the relative fraction by volume of the air contained within a material. Tortuosity is a geometrical parameter which intervenes in the description of the inertial effects between the fluid filled the porous material and its structure at high frequency range. It is generally easy to evaluate the tortuosity from transmitted waves, this is not the case for porosity because of its weak sensitivity in transmitted mode. The proposed method is based on measurement of reflected wave by the first interface of a slab of rigid porous material. This method is obtained from a temporal model of the direct and inverse scattering problems for the propagation of transient ultrasonic waves in a homogeneous isotropic slab of porous material having a rigid frame [Z. E. A. Fellah, M. Fellah, W. Lauriks, and C. Depollier, J. Acoust. Soc. Am. 113, 61 (2003)]. Reflection and transmission scattering operators for a slab of porous material are derived from the responses of the medium to an incident acoustic pulse at oblique incidence. The porosity and tortuosity are determined simultaneously from the measurements of reflected waves at two oblique incidence angles. Experimental and numerical validation results of this method are presented.
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May 05 2003
Measuring the porosity and the tortuosity of porous materials via reflected waves at oblique incidence
Z. E. A. Fellah;
Z. E. A. Fellah
National Institute of Health and Medical Research (INSERM U556), 151 cours Albert Thomas, 69424 Lyon Cedex 03, France
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S. Berger;
S. Berger
Laboratorium voor Akoestiek en Thermische Fysica, Katholieke Universiteit Leuven, Celestijnenlaan 200 D, B-3001 Heverlee, Belgium
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W. Lauriks;
W. Lauriks
Laboratorium voor Akoestiek en Thermische Fysica, Katholieke Universiteit Leuven, Celestijnenlaan 200 D, B-3001 Heverlee, Belgium
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C. Depollier;
C. Depollier
Laboratoire d’Acoustique de l’Université du Maine, UMR-CNRS 6613, Université du Maine, Avenue Olivier Messiaen, 72085 Le Mans Cedex 09, France
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C. Aristégui;
C. Aristégui
National Institute of Health and Medical Research (INSERM U556), 151 cours Albert Thomas, 69424 Lyon Cedex 03, France
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J.-Y. Chapelon
J.-Y. Chapelon
National Institute of Health and Medical Research (INSERM U556), 151 cours Albert Thomas, 69424 Lyon Cedex 03, France
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Z. E. A. Fellah
S. Berger
W. Lauriks
C. Depollier
C. Aristégui
J.-Y. Chapelon
National Institute of Health and Medical Research (INSERM U556), 151 cours Albert Thomas, 69424 Lyon Cedex 03, France
J. Acoust. Soc. Am. 113, 2424–2433 (2003)
Article history
Received:
October 31 2002
Accepted:
February 24 2003
Citation
Z. E. A. Fellah, S. Berger, W. Lauriks, C. Depollier, C. Aristégui, J.-Y. Chapelon; Measuring the porosity and the tortuosity of porous materials via reflected waves at oblique incidence. J. Acoust. Soc. Am. 1 May 2003; 113 (5): 2424–2433. https://doi.org/10.1121/1.1567275
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