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45 results on '"Laboratoire de Physique Théorique [University of Science and Technology Houari Boumediene] (LPT)"'

1. A Generalization of Poiseuille’s Law for the Flow of a Self-Similar (Fractal) Fluid through a Tube Having a Fractal Rough Surface

Author: Abdellah Bouchendouka, Zine El Abiddine Fellah, Zakaria Larbi, Nicholas O. Ongwen, Erick Ogam, Mohamed Fellah, Claude Depollier, Université des Sciences et de la Technologie Houari Boumediene = University of Sciences and Technology Houari Boumediene [Alger] (USTHB), Laboratoire de Mécanique et d'Acoustique [Marseille] (LMA ), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), Ondes et Imagerie (O&I), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), Maseno University, Laboratoire de Physique Théorique [University of Science and Technology Houari Boumediene] (LPT), Laboratoire d'Acoustique de l'Université du Mans (LAUM), and Le Mans Université (UM)-Centre National de la Recherche Scientifique (CNRS)
Subjects: Statistics and Probability, [SPI]Engineering Sciences [physics], fractal tube surface, self-similar fluid, noninteger dimensional spaces, Poiseuille’s law, Statistical and Nonlinear Physics, Navier–Stokes equations for fractal medium, surface fractal dimensions, Analysis
Abstract: In this paper, a generalization of Poiseuille’s law for a self-similar fluid flow through a tube having a rough surface is proposed. The originality of this work is to consider, simultaneously, the self-similarity structure of the fluid and the roughness of the tube surface. This study can have a wide range of applications, for example, for fractal fluid dynamics in hydrology. The roughness of the tube surface presents a fractal structure that can be described by the surface fractal noninteger dimensions. Complex fluids that are invariant to changes in scale (self-similar) are modeled as a continuous medium in noninteger dimensional spaces. In this work, the analytical solution of the Navier–Stokes equations for the case of a self-similar fluid flow through a rough “fractal” tube is presented. New expressions of the velocity profiles, the fluid discharge, and the friction factor are determined analytically and plotted numerically. These expressions contain fractal dimensions describing the effects of the fractal aspect of the fluid and of that of the tube surface. This approach reveals some very important results. For the velocity profile to represent a physical solution, the fractal dimension of the fluid ranges between 0.5 and 1. This study also qualitatively demonstrates that self-similar fluids have shear thickening-like behavior. The fractal (self-similarity) nature of the fluid and the roughness of the surface both have a huge impact on the dynamics of the flow. The fractal dimension of the fluid affects the amplitude and the shape of the velocity profile, which loses its parabolic shape for some values of the fluid fractal dimension. By contrast, the roughness of the surface affects only the amplitude of the velocity profile. Nevertheless, both the fluid’s fractal dimension and the surface roughness have a major influence on the behavior of the fluid, and should not be neglected.
Published: 2023

2. Flow of a Self-Similar Non-Newtonian Fluid Using Fractal Dimensions

Author: Abdellah Bouchendouka, Zine El Abiddine Fellah, Zakaria Larbi, Nicholas O. Ongwen, Erick Ogam, Mohamed Fellah, Claude Depollier, Université des Sciences et de la Technologie Houari Boumediene = University of Sciences and Technology Houari Boumediene [Alger] (USTHB), Ondes et Imagerie (O&I), Laboratoire de Mécanique et d'Acoustique [Marseille] (LMA ), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), Department of Physics and Materials Science, Maseno University, Maseno, Kenya, Laboratoire de Physique Théorique [University of Science and Technology Houari Boumediene] (LPT), Laboratoire d'Acoustique de l'Université du Mans (LAUM), and Le Mans Université (UM)-Centre National de la Recherche Scientifique (CNRS)
Subjects: Statistics and Probability, fractal dimensions, power-law fluid, non-Newtonian fluid, self-similar fluid, noninteger dimensional space, Statistical and Nonlinear Physics, Fractal dimension, Analysis, [PHYS.MECA.ACOU]Physics [physics]/Mechanics [physics]/Acoustics [physics.class-ph]
Abstract: International audience; In this paper, the study of the fully developed flow of a self-similar (fractal) power-law fluid is presented. The rheological way of behaving of the fluid is modeled utilizing the Ostwald–de Waele relationship (covering shear-thinning, Newtonian and shear-thickening fluids). A self-similar (fractal) fluid is depicted as a continuum in a noninteger dimensional space. Involving vector calculus for the instance of a noninteger dimensional space, we determine an analytical solution of the Cauchy equation for the instance of a non-Newtonian self-similar fluid flow in a cylindrical pipe. The plot of the velocity profile obtained shows that the rheological behavior of a non-Newtonian power-law fluid is essentially impacted by its self-similar structure. A self-similar shear thinning fluid and a self-similar Newtonian fluid take on a shear-thickening way of behaving, and a self-similar shearthickening fluid becomes more shear thickening. This approach has many useful applications in industry, for the investigation of blood flow and fractal fluid hydrology
Published: 2022
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3. Transient Propagation of Spherical Waves in Porous Material: Application of Fractional Calculus

Author: Zine El Abiddine Fellah, Mohamed Fellah, Rémi Roncen, Nicholas O. Ongwen, Erick Ogam, Claude Depollier, Ondes et Imagerie (O&I), Laboratoire de Mécanique et d'Acoustique [Marseille] (LMA ), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), Laboratoire de Physique Théorique [University of Science and Technology Houari Boumediene] (LPT), Université des Sciences et de la Technologie Houari Boumediene = University of Sciences and Technology Houari Boumediene [Alger] (USTHB), ONERA / DMPE, Université de Toulouse [Toulouse], ONERA-PRES Université de Toulouse, Department of Physics and Materials Science, Maseno University, Maseno, Kenya., Laboratoire d'Acoustique de l'Université du Mans (LAUM), and Le Mans Université (UM)-Centre National de la Recherche Scientifique (CNRS)
Subjects: porous materials, fractional calculus, spherical wave, viscous and thermal surfaces, dynamic tortuosity and compressibility, Physics and Astronomy (miscellaneous), Chemistry (miscellaneous), General Mathematics, Computer Science (miscellaneous), Transient Propagation of porous materials, [PHYS.MECA.ACOU]Physics [physics]/Mechanics [physics]/Acoustics [physics.class-ph]
Abstract: International audience; A fractional-order wave equation is established and solved for a space of three dimensions using spherical coordinates. An equivalent fluid model is used in which the acoustic wave propagates only in the fluid saturating the porous medium; this model is a special case of Biot’s theory obtainedby the symmetry of the Lagrangian (invariance by translation and rotation). The basic solution of the wave equation is obtained in the time domain by analytically calculating Green’s function of the porous medium and using the properties of the Laplace transforms. Fractional derivatives are used to describe, in the time domain, the fluid–structure interactions, which are of the inertial, viscous, and thermal kind. The solution to the fractional-order wave equation represents the radiation field in the porous medium emitted by a point source. An important result obtained in this study is that the solution of the fractional equation is expressed by recurrence relations that are the consequence of the modified Bessel function of the third kind, which represents a physical solution of the wave equation. This theoretical work with analytical results opens up prospects for the resolution of forward and inverse problems allowing the characterization of a porous medium using spherical waves.
Published: 2022

4. Influence of Higher Order Viscous and Thermal Effects on an Ultrasonic Wave Reflected from the First Interface of a Porous Material

Author: Zine El Abiddine Fellah, Rémi Roncen, Nicholas O. Ongwen, Erick Ogam, Mohamed Fellah, Claude Depollier, Ondes et Imagerie (O&I), Laboratoire de Mécanique et d'Acoustique [Marseille] (LMA ), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), ONERA / DMPE, Université de Toulouse [Toulouse], ONERA-PRES Université de Toulouse, Department of Physics and Materials Science, Maseno University, Maseno, Kenya., Laboratoire de Physique Théorique [University of Science and Technology Houari Boumediene] (LPT), Université des Sciences et de la Technologie Houari Boumediene = University of Sciences and Technology Houari Boumediene [Alger] (USTHB), Laboratoire d'Acoustique de l'Université du Mans (LAUM), and Le Mans Université (UM)-Centre National de la Recherche Scientifique (CNRS)
Subjects: Technology, Microscopy, QC120-168.85, First Interface, Dynamic Tortuosity and Compressibility, QH201-278.5, Porous Materials, Engineering (General). Civil engineering (General), Viscous and Thermal Surfaces, TK1-9971, [PHYS.MECA.ACOU]Physics [physics]/Mechanics [physics]/Acoustics [physics.class-ph], Descriptive and experimental mechanics, Reflected Wave, porous materials, reflected wave, first interface, viscous and thermal surfaces, dynamic tortuosity and compressibility, General Materials Science, Electrical engineering. Electronics. Nuclear engineering, TA1-2040
Abstract: International audience; Ultrasound propagation in porous materials involves some higher order physical parameters whose importance depends on the acoustic characteristics of the materials. This article concerns the study of the influence of two parameters recently introduced, namely, the viscous and thermal surfaces, on the acoustic wave reflected by the first interface of a porous material with a rigid structure. These two parameters describe the fluid/structure interactions in a porous medium during the propagation of the acoustic wave in the high-frequency regime. Both viscous and thermal surfaces are involved in Laurent expansion, which is limited to the dynamic tortuosity and compressibility to a higher order and corrects the visco-thermal losses %Please check intended meaning has been retained. A sensitivity study is performed on the modulus of the reflection coefficient at the first interface as a function of frequency and on the waveforms reflected by the porous material in the time domain. The results of this study show that absorbent porous materials are the most sensitive to viscous and thermal surfaces, which makes the consideration of these two parameters paramount for the characterization of highly absorbent porous materials using the waves reflected from the first interface.
Published: 2022
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5. Theoretical and experimental study of micropolar elastic materials using acoustic waves in air

Author: Zine El Abbidine Fellah, Mohamed Fellah, Claude Depollier, Erick Ogam, Ondes et Imagerie (O&I), Laboratoire de Mécanique et d'Acoustique [Marseille] (LMA ), Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM), Laboratoire de Physique Théorique [University of Science and Technology Houari Boumediene] (LPT), Université des Sciences et de la Technologie Houari Boumediene [Alger] (USTHB), Laboratoire d'Acoustique de l'Université du Mans (LAUM), Centre National de la Recherche Scientifique (CNRS)-Le Mans Université (UM), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), Université des Sciences et de la Technologie Houari Boumediene = University of Sciences and Technology Houari Boumediene [Alger] (USTHB), and Le Mans Université (UM)-Centre National de la Recherche Scientifique (CNRS)
Subjects: Materials science, Acoustics and Ultrasonics, Frequency band, Mechanical Engineering, Acoustics, 02 engineering and technology, Acoustic wave, 021001 nanoscience & nanotechnology, Condensed Matter Physics, [PHYS.MECA.ACOU]Physics [physics]/Mechanics [physics]/Acoustics [physics.class-ph], Transverse plane, 020303 mechanical engineering & transports, Transducer, 0203 mechanical engineering, Mechanics of Materials, Ultrasonic sensor, Loudspeaker, Phase velocity, 0210 nano-technology, Reduction (mathematics), ComputingMilieux_MISCELLANEOUS
Abstract: This study focuses on the development of a theoretical and experimental acoustic method and setup for studying the micropolar behavior of materials. Two types of low density closed-cell foams made from polystyrene (expanded and extruded) materials that were previously reported as materials exhibiting the non-classical elastodynamic behavior were investigated in order to reveal the particular comportment using acoustic waves. Two different types of transducers were employed to provide a large frequency band to study the influence of the Cosserat parameters. The frequency band from 1–40 kHz was covered using a tweeter loudspeaker whereas that from 30–120 kHz, by an air coupled ultrasonic transducer. The materials’ micropolar elastic behavior were revealed through the comparison between the theoretical and experimental transmission coefficients. At the cut-off frequency where the theoretical phase velocity of the transverse acoustic mode was established to be infinite, the acoustic wave transmission by the panels was found to be very small. This makes the Cosserat materials appealing to harmonic noise reduction.
Published: 2021

6. Transient Propagation of Longitudinal and Transverse Waves in Cancellous Bone: Application of Biot Theory and Fractional Calculus

Author: Djihane Benmorsli, Zine El Abiddine Fellah, Djema Belgroune, Nicholas O. Ongwen, Erick Ogam, Claude Depollier, Mohamed Fellah, Université des Sciences et de la Technologie Houari Boumediene = University of Sciences and Technology Houari Boumediene [Alger] (USTHB), Laboratoire de Mécanique et d'Acoustique [Marseille] (LMA ), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), Ondes et Imagerie (O&I), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), Department of Physics and Materials Science, Maseno University, Maseno, Kenya, Laboratoire d'Acoustique de l'Université du Mans (LAUM), Le Mans Université (UM)-Centre National de la Recherche Scientifique (CNRS), and Laboratoire de Physique Théorique [University of Science and Technology Houari Boumediene] (LPT)
Subjects: Biot theory, porous materials, fractional calculus, transverse wave, transmission, Physics and Astronomy (miscellaneous), Chemistry (miscellaneous), General Mathematics, Computer Science (miscellaneous), [PHYS.MECA.ACOU]Physics [physics]/Mechanics [physics]/Acoustics [physics.class-ph]
Abstract: International audience; In this paper, the influence of the transverse wave on sound propagation in a porous medium with a flexible structure is considered. The study is carried out in the time domain using the modified Biot theory obtained by the symmetry of the Lagrangian (invariance by translation and rotation). The viscous exchanges between the fluid and the structure are described by fractional calculus. When a sound pulse arrives at normal incidence on a porous material with a flexible structure, the transverse waves interfere with the longitudinal waves during propagation because of the viscous interactions that appear between the fluid and the structure. By performing a calculation in the Laplace domain, the reflection and transmission operators are derived. Their time domain expressions depend on the Green functions of the longitudinal and transverse waves. In order to study the effects of the transverse wave on the transmitted longitudinal waves, numerical simulations of the transmitted waves in the time domain by varying the characteristic parameters of the medium are realized whether the transverse wave is considered or not.
Published: 2022

7. Acoustical modeling and Bayesian inference for rigid porous media in the low-mid frequency regime

Author: Erick Ogam, Denis Lafarge, Mohamed Fellah, C. Depollier, Rémi Roncen, Zine El Abiddine Fellah, Frank Simon, Estelle Piot, ONERA / DMPE, Université de Toulouse [Toulouse], ONERA-PRES Université de Toulouse, Laboratoire de Mécanique et d'Acoustique [Marseille] (LMA ), Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM), Laboratoire d'Acoustique de l'Université du Mans (LAUM), Centre National de la Recherche Scientifique (CNRS)-Le Mans Université (UM), Laboratoire de Physique Théorique [University of Science and Technology Houari Boumediene] (LPT), Université des Sciences et de la Technologie Houari Boumediene [Alger] (USTHB), Moscow Power Engineering Institute (MPEI), Le Mans Université (UM)-Centre National de la Recherche Scientifique (CNRS), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), and Université des Sciences et de la Technologie Houari Boumediene = University of Sciences and Technology Houari Boumediene [Alger] (USTHB)
Subjects: Acoustics and Ultrasonics, Wave propagation, Posterior probability, Bayesian inference, 01 natural sciences, Tortuosity, Physics::Fluid Dynamics, 03 medical and health sciences, 0302 clinical medicine, Arts and Humanities (miscellaneous), ACOUSTICS, 0103 physical sciences, Sensitivity (control systems), 030223 otorhinolaryngology, 010301 acoustics, [SPI.ACOU]Engineering Sciences [physics]/Acoustics [physics.class-ph], Physics, MATERIAUX POREUX, POROUS MEDIA, INFERENCE BAYESIENNE, Mechanics, INVERSE METHOD, Permeability (earth sciences), BAYESIAN INFERENCE, ACOUSTIQUE, MODELISATION BASSE FREQUENCE, Porous medium, Structural acoustics, METHODE INVERSE, LOW-FREQUENCY MODELING
Abstract: International audience; In this article, a modeling extension for the description of wave propagation in porous media at low-mid frequencies is introduced. To better characterize the viscous and inertial interactions between the fluid and the structure in this regime, two additional terms described by two parameters α1 and α2 are taken into account in the representation of the dynamic tortuosity in a Laurent-series on frequency. The model limitations are discussed. A sensitivity analysis is performed, showing that the influence of α1 and α2 on the acoustic response of porous media is significant. A general Bayesian inference is then conducted to infer, simultaneously, the posterior probability densities of the model parameters. The proposed method is based on the measurement of waves transmitted by a slab of rigid porous material, using a temporal model for the direct and inverse transmission problem. Bayesian inference results obtained on three different porous materials are presented, which suggests that the two additional parameters are accessible and help reduce systematic errors in the identification of other parameters: porosity, static viscous permeability, static viscous tortuosity, static thermal permeability, and static thermal tortuosity.
Published: 2018

8. Bayesian inference for the ultrasonic characterization of rigid porous materials using reflected waves by the first interface

Author: Frank Simon, C. Depollier, Mohamed Fellah, Erick Ogam, Rémi Roncen, Zine El Abiddine Fellah, Estelle Piot, ONERA / DMPE, Université de Toulouse [Toulouse], ONERA-PRES Université de Toulouse, Ondes et Imagerie (O&I), Laboratoire de Mécanique et d'Acoustique [Marseille] (LMA ), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), Laboratoire de Physique Théorique [University of Science and Technology Houari Boumediene] (LPT), Université des Sciences et de la Technologie Houari Boumediene = University of Sciences and Technology Houari Boumediene [Alger] (USTHB), Moscow Power Engineering Institute (MPEI), Laboratoire d'Acoustique de l'Université du Mans (LAUM), Le Mans Université (UM)-Centre National de la Recherche Scientifique (CNRS), Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM), Université des Sciences et de la Technologie Houari Boumediene [Alger] (USTHB), and Centre National de la Recherche Scientifique (CNRS)-Le Mans Université (UM)
Subjects: 010302 applied physics, Physics, Acoustics and Ultrasonics, Characteristic length, Mathematical analysis, Posterior probability, Inverse problem, Bayesian inference, 01 natural sciences, Tortuosity, [PHYS.MECA.ACOU]Physics [physics]/Mechanics [physics]/Acoustics [physics.class-ph], Arts and Humanities (miscellaneous), 0103 physical sciences, Reflection (physics), Time domain, Reflection coefficient, 010301 acoustics
Abstract: International audience; The purpose of this paper is to present a method for the ultrasonic characterization of air-saturated porous media, by solving the inverse problem using only the reflected waves from the first interface to infer the porosity, the tortuosity and the viscous and thermal characteristic lengths. The solution of the inverse problem relies on the use of different reflected pressure signals obtained under multiple obliquely incident waves, in the time domain. In this paper, the authors propose to solve the inverse problem numerically with a first level Bayesian inference method, summarizing the knowledge on the inferred parameters in the form of posterior probability densities, exploring these densities using a Markov-Chain Monte-Carlo approach. Despite their low sensitivity to the reflection coefficient, it is still possible to extract the knowledge of the viscous and thermal characteristic lengths, allowing the simultaneous determination of all the physical parameters involved in the expression of the reflection operator. To further constrain the problem and guide the inference, the knowledge of a particular incident angle is used at one's advantage in order to more precisely define the thermal length, by effectively yielding a statistical relationship between tortuosity and characteristic lengths ratio.
Published: 2018

9. Transient ultrasonic wave propagation in porous material of non-integer space dimension

Author: C. Depollier, Zine El Abiddine Fellah, Amine Berbiche, Mohamed Fellah, Farid G. Mitri, Erick Ogam, Laboratoire de Physique Théorique [University of Science and Technology Houari Boumediene] (LPT), Université des Sciences et de la Technologie Houari Boumediene [Alger] (USTHB), Ondes et Imagerie (O&I), Laboratoire de Mécanique et d'Acoustique [Marseille] (LMA ), Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM), Los Alamos Natl Lab, MPA-11, Sensors & Electrochemical Devices, Acoustics & Sensors Technology Team, Laboratoire d'Acoustique de l'Université du Mans (LAUM), Centre National de la Recherche Scientifique (CNRS)-Le Mans Université (UM), Le Mans Université (UM)-Centre National de la Recherche Scientifique (CNRS), Université des Sciences et de la Technologie Houari Boumediene = University of Sciences and Technology Houari Boumediene [Alger] (USTHB), and Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)
Subjects: Wave propagation, Applied Mathematics, Mathematical analysis, Plane wave, General Physics and Astronomy, Acoustic wave, Wave equation, 01 natural sciences, Tortuosity, [PHYS.MECA.ACOU]Physics [physics]/Mechanics [physics]/Acoustics [physics.class-ph], 010305 fluids & plasmas, Computational Mathematics, Amplitude, Modeling and Simulation, 0103 physical sciences, Acoustic wave equation, 010306 general physics, Porous medium, ComputingMilieux_MISCELLANEOUS, Mathematics
Abstract: Acoustic propagation in a self-similar porous medium having a rigid frame is studied. A fractional propagation equation in a porous material of non-integer dimension is established using the variational method (Stillinger–Palmer–Stavrinou formalism). The wave equation is solved analytically in the time domain using the Laplace transform method. The analytical solution of the propagation equation shows the existence of a supersonic wave whose front wave velocity depends on the non-integer dimension and the tortuosity of the self-similar porous material. Numerical simulations of the amplitude of the ultrasonic wave inside the material show the sensitivity of the main important parameters describing the propagation (non-integer dimension, tortuosity, viscous and thermal characteristic lengths). The non-integer dimension seems to be the only parameter which acts on both the amplitude and the velocity of the acoustic wave.
Published: 2017

10. Transient acoustic wave in self-similar porous material having rigid frame: Low frequency domain

Author: Claude Depollier, Mohamed Fellah, Erick Ogam, Farid G. Mitri, Amine Berbiche, Zine El Abiddine Fellah, Laboratoire de Physique Théorique [University of Science and Technology Houari Boumediene] (LPT), Université des Sciences et de la Technologie Houari Boumediene [Alger] (USTHB), Ondes et Imagerie (O&I), Laboratoire de Mécanique et d'Acoustique [Marseille] (LMA ), Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM), Chevron, Laboratoire d'Acoustique de l'Université du Mans (LAUM), Centre National de la Recherche Scientifique (CNRS)-Le Mans Université (UM), Le Mans Université (UM)-Centre National de la Recherche Scientifique (CNRS), Université des Sciences et de la Technologie Houari Boumediene = University of Sciences and Technology Houari Boumediene [Alger] (USTHB), and Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)
Subjects: Diffusion equation, Laplace transform, Applied Mathematics, Rigid frame, Mathematical analysis, General Physics and Astronomy, Fractional dimension, 02 engineering and technology, Acoustic wave, 021001 nanoscience & nanotechnology, 01 natural sciences, Fractal porous material, [PHYS.MECA.ACOU]Physics [physics]/Mechanics [physics]/Acoustics [physics.class-ph], 010305 fluids & plasmas, Computational Mathematics, Modeling and Simulation, 0103 physical sciences, Acoustic wave equation, Waveform, Time domain, Acoustic propagation, 0210 nano-technology, Porous medium, Mathematics
Abstract: International audience; This study concerns the acoustic wave diffusion in fractional dimensional rigid porous media in the low frequency domain. An equivalent fluid model with a non-integer dimensional space is developed using the Stillinger-Palmer-Stavrinou formalism. A generalized lossy diffusive equation is derived and solved analytically in the time domain. The coefficients of the diffusion equation are not constant and depend on the fractional dimension, static permeability and porosity of the porous material. The dynamic response of the material is obtained using the Laplace transform method. Numerical simulations of a diffusive wave in porous material with a non-integer dimensional space are given, showing the sensitivity of the waveform to the fractional dimension. It is found that the attenuation of the acoustic wave is more important for the the highest value of the fractional dimension d. This result is especially true for resistive porous materials (low permeability value) and for large thicknesses.
Published: 2017

11. Systematic Search For Evidence of Tetrahedral and Octahedral Symmetries in Subatomic Physics: Follow-up of the First Identification Case in 152 Sm

Author: Jerzy Dudek, Irene Dedes, Abdelghafar Gaamouci, yang Jie, Andrzej Baran, Dominique Curien, Timo Dickel, Hua-Lei Wang, Département Recherches Subatomiques (DRS-IPHC), Institut Pluridisciplinaire Hubert Curien (IPHC), Université de Strasbourg (UNISTRA)-Institut National de Physique Nucléaire et de Physique des Particules du CNRS (IN2P3)-Centre National de la Recherche Scientifique (CNRS)-Université de Strasbourg (UNISTRA)-Institut National de Physique Nucléaire et de Physique des Particules du CNRS (IN2P3)-Centre National de la Recherche Scientifique (CNRS), Uniwersytet Marii Curie-Sklodowskiej = University Marii Curie-Sklodowskiej [Lublin] (UMCS), Laboratoire de Physique Théorique [University of Science and Technology Houari Boumediene] (LPT), Université des Sciences et de la Technologie Houari Boumediene [Alger] (USTHB), Justus-Liebig-University [Gießen, Germany], Zhengzhou University, and Institut National de Physique Nucléaire et de Physique des Particules du CNRS (IN2P3)-Université de Strasbourg (UNISTRA)-Centre National de la Recherche Scientifique (CNRS)-Institut National de Physique Nucléaire et de Physique des Particules du CNRS (IN2P3)-Université de Strasbourg (UNISTRA)-Centre National de la Recherche Scientifique (CNRS)
Subjects: [PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th], Nuclear Platonic symmetries, Shape isomers, Nuclear structure, Exotic nuclei
Abstract: International audience; In a recent article [1] group-theory representation-methods have been combined with the realistic mean-field calculation results to elaborate new, specifically designed methods of experimental identification of the tetrahedral/octahedral symmetries in atomic nuclei. The authors demonstrated that experimental data on 152 Sm existing in the literature are fully compatible with the extremely restrictive group-theory criteria of simultaneous presence of tetrahedral and octahedral symmetries, thus identifying these symmetries in subatomic physics for the first time. We discuss theory predictions related to the systematic presence of these symmetries as well as their manifestations throughout the Periodic Table in the form of islands centred around the doubly-magic tetrahedral-symmetry nuclei. The corresponding theory predictions are discussed in the context of the planned new experiments, which would employ the advanced mass-spectrometry methods [2], in view of the new experimental search criteria [1]. The addressed field of symmetry-research presents particularly promising potentialities in the domain of exotic nuclei studies. Indeed, as it can be demonstrated, in the exact tetrahedral and/or octahedral symmetry limits the corresponding nuclei emit neither E2 nor E1 radiation generating isomeric states with lifetimes which can become much longer than those of the related ground states. This is expected to open the new research strategies for the whole domain of the exotic nuclei studies throughout the Periodic Table.
Published: 2019

12. Inverse identification of a higher order viscous parameter of rigid porous media in the high frequency domain

Author: Frank Simon, Zine El Abiddine Fellah, C. Depollier, Estelle Piot, Rémi Roncen, Mohamed Fellah, Erick Ogam, ONERA / DMPE, Université de Toulouse [Toulouse], ONERA-PRES Université de Toulouse, Ondes et Imagerie (O&I), Laboratoire de Mécanique et d'Acoustique [Marseille] (LMA ), Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM), Laboratoire de Physique Théorique [University of Science and Technology Houari Boumediene] (LPT), Université des Sciences et de la Technologie Houari Boumediene [Alger] (USTHB), Moscow Power Engineering Institute (MPEI), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), and Université des Sciences et de la Technologie Houari Boumediene = University of Sciences and Technology Houari Boumediene [Alger] (USTHB)
Subjects: Materials science, Acoustics and Ultrasonics, Characteristic length, Wave propagation, POROUS MATERIAL, Inverse, 01 natural sciences, Tortuosity, Physics::Fluid Dynamics, [SPI]Engineering Sciences [physics], Arts and Humanities (miscellaneous), ACOUSTICS, 0103 physical sciences, Time domain, MATERIAU POREUX, 010301 acoustics, ULTRASOUND, 010302 applied physics, [PHYS]Physics [physics], ULTRASON, INFERENCE BAYESIENNE, Mechanics, INVERSE METHOD, Frequency domain, BAYESIAN INFERENCE, Compressibility, ACOUSTIQUE, Porous medium, METHODE INVERSE
Abstract: International audience; In this paper, a modeling extension for the description of wave propagation in rigid porous media at high frequencies is used. To better characterize the visco-inertial and thermal interactions between the fluid and the structure in this regime, two additional characteristic viscous and thermal surfaces R and R0 are taken into account, as initially introduced in Kergomard, Lafarge, and Gilbert [Acta Acust. Acust. 99(4), 557–571 (2013)]. This extends the modeling order of the dynamic tortuosity and compressibility. A sensitivity analysis is performed on the additional parameters, showing that only the viscous surface R has an influence on transmitted waves in the high frequency regime, for materials having a low viscous characteristic length. A general Bayesian inference is then conducted to infer simultaneously the posterior probability densities of the parameters associated with the visco-inertial effects, i.e., the porosity, tortuosity, the viscous characteristic length, and the viscous characteristic surface. The proposed method is based on the measurement of waves transmitted by a slab of rigid porous material in the time domain. Bayesian inference results obtained on three different porous materials are presented.
Published: 2019

13. Propagation of acoustic waves in micro-polar porous medium

Author: Mansouri, Damia, Fellah, Mohamed, Fellah, Zine El Abiddine, Erick, Ogam, Depollier, Claude, Laboratoire de Physique Théorique [University of Science and Technology Houari Boumediene] (LPT), Université des Sciences et de la Technologie Houari Boumediene = University of Sciences and Technology Houari Boumediene [Alger] (USTHB), Laboratoire de Mécanique et d'Acoustique [Marseille] (LMA ), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), Ondes et Imagerie (O&I), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), Laboratoire d'Acoustique de l'Université du Mans (LAUM), Le Mans Université (UM)-Centre National de la Recherche Scientifique (CNRS), Université des Sciences et de la Technologie Houari Boumediene [Alger] (USTHB), Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM), Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM), and Centre National de la Recherche Scientifique (CNRS)-Le Mans Université (UM)
Subjects: [PHYS.MECA.ACOU]Physics [physics]/Mechanics [physics]/Acoustics [physics.class-ph]
Abstract: International audience; Generally, in acoustic propagation in porous media such as rocks or bone tissues, classical elasticity is used, in which the stresses are proportional to the deformations and only the translation aspect is taken into account. However, it has been shown that in these porous media, the rotational movementof particles (solid or fluid) between them (gyration) is not negligible, and this is described by micro-polar theories. In this work, the acoustic wave propagation in micro-polar porous material in the high frequency range is studied. The fluid / structure and micro-polar couplings are well described in the Biot equations. The motion equations are solved in the frequency domain, thus obtaining the dispersion relations. Several propagation modes are highlighted, in addition to the two classical Biot waves and the shear wave, a micro-polar compression wave and a micro-polar shear wave are obtained. The phase velocities of these five waves are calculated and plotted against frequency. A sensitivity study of the micro-polar parameters onthese phase velocities is carried out. The relative movements of the internal structures of the solid and fluid thus described take into account the interactions between them and can improve the prediction of the Biot theory on the attenuation of the waves in the porous media. The energy transported by the waveis distributed between compression, shear and "gyration" waves which are stronglydamped. The losses that are not modelized by the Biot Theory could partly be explained by theattenuation of the gyration. In addition to the proposed theoretical study, an experimental method isbeing developed to validate the theory.
Published: 2019

14. Application of fractional calculus to the ultrasonic characterization of human bone tissue

Author: Zine El Abiddine Fellah, Rémi Roncen, Erick Ogam, Mohamed Fellah, Claude Depollier, Ondes et Imagerie (O&I), Laboratoire de Mécanique et d'Acoustique [Marseille] (LMA ), Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM), ONERA / DMPE, Université de Toulouse [Toulouse], ONERA-PRES Université de Toulouse, Laboratoire de Physique Théorique [University of Science and Technology Houari Boumediene] (LPT), Université des Sciences et de la Technologie Houari Boumediene [Alger] (USTHB), Laboratoire d'Acoustique de l'Université du Mans (LAUM), Centre National de la Recherche Scientifique (CNRS)-Le Mans Université (UM), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), Université des Sciences et de la Technologie Houari Boumediene = University of Sciences and Technology Houari Boumediene [Alger] (USTHB), and Le Mans Université (UM)-Centre National de la Recherche Scientifique (CNRS)
Subjects: Physics, Acoustics and Ultrasonics, Biot number, Attenuation, Mathematical analysis, 01 natural sciences, [PHYS.MECA.ACOU]Physics [physics]/Mechanics [physics]/Acoustics [physics.class-ph], Fractional calculus, 03 medical and health sciences, 0302 clinical medicine, Arts and Humanities (miscellaneous), Frequency domain, 0103 physical sciences, Reflection (physics), Ultrasonic sensor, Time domain, 030223 otorhinolaryngology, 010301 acoustics, Longitudinal wave
Abstract: International audience; Transient ultrasonic propagation in human bone tissue is considered according to Biot's theory. The bone is modeled as a porous medium with an elastic structure. The viscous uid/structure interactions are described by fractional calculus in the time domain. The slow and fast compressional waves, as well as the rotational shear wave predicted by Biot's theory obey fractional propagation equations. The fractional equation system is solved analytically in the time domain, thus obtaining the expressions of the reection and transmission scattering operators. Inverse identication of the intrinsic microstructure of the pores and of the mechanical properties of the bone is performed in the time domain (waveforms) and frequency domain (attenuation and phase velocities), by adopting a statistical Bayesian inference technique using ultrasonic transmitted and reected signals, which allows to nd the identied parameters and their associated uncertainty.
Published: 2020

15. Acoustic wave propagation in fractal porous material

Author: Fellah, Zine El Abiddine, Berbiche, Amine, Fellah, Mohamed, Erick, Ogam, Depollier, Claude, Laboratoire de Mécanique et d'Acoustique [Marseille] (LMA ), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), Ondes et Imagerie (O&I), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), Université des Sciences et de la Technologie Houari Boumediene = University of Sciences and Technology Houari Boumediene [Alger] (USTHB), Laboratoire de Physique Théorique [University of Science and Technology Houari Boumediene] (LPT), Laboratoire d'Acoustique de l'Université du Mans (LAUM), Le Mans Université (UM)-Centre National de la Recherche Scientifique (CNRS), Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM), Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM), Université des Sciences et de la Technologie Houari Boumediene [Alger] (USTHB), and Centre National de la Recherche Scientifique (CNRS)-Le Mans Université (UM)
Subjects: ComputingMilieux_MISCELLANEOUS, [PHYS.MECA.ACOU]Physics [physics]/Mechanics [physics]/Acoustics [physics.class-ph]
Abstract: International audience
Published: 2017

16. Transient ultrasound propagation in porous media using Biot theory and fractional calculus: Application to human cancellous bone

Author: Zine El Abiddine Fellah, C. Depollier, F.G. Mitri, M. Fellah, Erick Ogam, Laboratoire de Physique Théorique [University of Science and Technology Houari Boumediene] (LPT), Université des Sciences et de la Technologie Houari Boumediene = University of Sciences and Technology Houari Boumediene [Alger] (USTHB), Ondes et Imagerie (O&I), Laboratoire de Mécanique et d'Acoustique [Marseille] (LMA ), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), Ultrasound Research Laboratory, The Mayo Clinic and Foundation, Laboratoire d'Acoustique de l'Université du Mans (LAUM), Le Mans Université (UM)-Centre National de la Recherche Scientifique (CNRS), Université des Sciences et de la Technologie Houari Boumediene [Alger] (USTHB), Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM), and Centre National de la Recherche Scientifique (CNRS)-Le Mans Université (UM)
Subjects: Time Factors, Acoustics and Ultrasonics, Acoustics, Models, Biological, 01 natural sciences, Bone and Bones, Motion, 03 medical and health sciences, 0302 clinical medicine, Arts and Humanities (miscellaneous), 0103 physical sciences, Humans, Scattering, Radiation, Computer Simulation, Ultrasonics, Time domain, 030223 otorhinolaryngology, 010301 acoustics, Ultrasonography, [SPI.ACOU]Engineering Sciences [physics]/Acoustics [physics.class-ph], Physics, Biot number, Laplace transform, Viscosity, Mathematical analysis, Numerical Analysis, Computer-Assisted, Wave equation, Elasticity, [PHYS.MECA.ACOU]Physics [physics]/Mechanics [physics]/Acoustics [physics.class-ph], Fractional calculus, Sound, Reflection (physics), Transient (oscillation), Porous medium, Porosity
Abstract: International audience; A temporal model based on the Biot theory is developed to describe the transient ultrasonic propagation in porous media with elastic structure, in which the viscous exchange between fluid and structure are described by fractional derivatives. The fast and slow waves obey a fractional wave equation in the time domain. The solution of Biot's equations in time depends on the Green functions of each of the waves (fast and slow), and their fractional derivatives. The reflection and transmission operators for a slab of porous materials are derived in the time domain, using calculations in the Laplace domain. Their analytical expressions, depend on Green's function of fast and slow waves. Experimental results for slow and fast waves transmitted through human cancellous bone samples are given and compared with theoretical predictions.
Published: 2013

17. Acoustic characterization of air-saturated porous materials by solving the inverse problem

Author: Fellah, Z. E. A., Berbiche, A., Felllah, M., Erick Ogam, Depollier, C., Laboratoire de Mécanique et d'Acoustique [Marseille] (LMA ), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), Ondes et Imagerie (O&I), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), Université des Sciences et de la Technologie Houari Boumediene = University of Sciences and Technology Houari Boumediene [Alger] (USTHB), Laboratoire de Physique Théorique [University of Science and Technology Houari Boumediene] (LPT), Laboratoire d'Acoustique de l'Université du Mans (LAUM), Le Mans Université (UM)-Centre National de la Recherche Scientifique (CNRS), Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM), Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM), Université des Sciences et de la Technologie Houari Boumediene [Alger] (USTHB), and Centre National de la Recherche Scientifique (CNRS)-Le Mans Université (UM)
Subjects: ComputingMilieux_MISCELLANEOUS, [PHYS.MECA.ACOU]Physics [physics]/Mechanics [physics]/Acoustics [physics.class-ph]
Abstract: International audience
Published: 2016

18. Ultrasonic propagation in fractal porous material

Author: Berbiche, Amine, Fellah, Zine El Abiddine, Fellah, Mohamed, Ogam, Erick, Depollier, Claude, Université des Sciences et de la Technologie Houari Boumediene [Alger] (USTHB), Laboratoire de Mécanique et d'Acoustique [Marseille] (LMA ), Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM), Ondes et Imagerie (O&I), Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM), Laboratoire de Physique Théorique [University of Science and Technology Houari Boumediene] (LPT), Laboratoire d'Acoustique de l'Université du Mans (LAUM), Centre National de la Recherche Scientifique (CNRS)-Le Mans Université (UM), Université des Sciences et de la Technologie Houari Boumediene = University of Sciences and Technology Houari Boumediene [Alger] (USTHB), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), and Le Mans Université (UM)-Centre National de la Recherche Scientifique (CNRS)
Subjects: ComputingMilieux_MISCELLANEOUS, [PHYS.MECA.ACOU]Physics [physics]/Mechanics [physics]/Acoustics [physics.class-ph]
Abstract: International audience
Published: 2016

19. Characterization of rigid porous medium via ultrasonic reflected waves at oblique incidence

Author: Zine El Abidine Fellah, Mustapha Sadouki, Amine Berbiche, Claude Depollier, Mohamed Fellah, Université des Sciences et de la Technologie Houari Boumediene [Alger] (USTHB), Laboratoire de Physique Théorique [University of Science and Technology Houari Boumediene] (LPT), Laboratoire de Mécanique et d'Acoustique [Marseille] (LMA ), Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM), Laboratoire d'Acoustique de l'Université du Mans (LAUM), Centre National de la Recherche Scientifique (CNRS)-Le Mans Université (UM), Université de Djilali Bounaama Khemis Miliana (univ-DBKM), Ondes et Imagerie (O&I), Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM), Université des Sciences et de la Technologie Houari Boumediene = University of Sciences and Technology Houari Boumediene [Alger] (USTHB), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), Le Mans Université (UM)-Centre National de la Recherche Scientifique (CNRS), and Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)
Subjects: 010302 applied physics, Materials science, Acoustics and Ultrasonics, Characteristic length, business.industry, Numerical analysis, Rigid frame, Mechanics, Inverse problem, Tortuosity, 01 natural sciences, [PHYS.MECA.ACOU]Physics [physics]/Mechanics [physics]/Acoustics [physics.class-ph], Optics, Arts and Humanities (miscellaneous), 0103 physical sciences, Ultrasonic sensor, Porosity, Porous medium, business, 010301 acoustics, ComputingMilieux_MISCELLANEOUS
Abstract: International audience; In this paper, an enhanced method is proposed for measuring porosity, tortuosity, viscous and thermal characteristic length of porous materials having a rigid frame via reflected ultrasonic waves at oblique incidence using the equivalent fluid model. The advantage of the proposed method is that the four parameters are determined simultaneously just using reflected experimental waves for a porous material saturated by air. The inverse problem is solved based on the least-square numerical method using experimental reflected waves in time domain. Tests are performed using industrial plastic foams. Experimental and numerical validation results of this method are presented.
Published: 2015

20. Measurement of tortuosity and viscous characteristic length of double-layered porous absorbing materials with rigid frames via transmitted ultrasonic wave

Author: Claude Depollier, Mustapha Sadouki, Zine El Abidine Fellah, Amine Berbiche, Mohamed Fellah, Université des Sciences et de la Technologie Houari Boumediene = University of Sciences and Technology Houari Boumediene [Alger] (USTHB), Laboratoire de Physique Théorique [University of Science and Technology Houari Boumediene] (LPT), Laboratoire de Mécanique et d'Acoustique [Marseille] (LMA ), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), Laboratoire d'Acoustique de l'Université du Mans (LAUM), Le Mans Université (UM)-Centre National de la Recherche Scientifique (CNRS), Université des Sciences et de la Technologie Houari Boumediene [Alger] (USTHB), Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM), Centre National de la Recherche Scientifique (CNRS)-Le Mans Université (UM), Université de Djilali Bounaama Khemis Miliana (univ-DBKM), Ondes et Imagerie (O&I), Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM), and Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)
Subjects: Materials science, Acoustics and Ultrasonics, Characteristic length, business.industry, Rigid frame, Isotropy, Acoustic wave, Mechanics, Physics::Classical Physics, 01 natural sciences, Tortuosity, [PHYS.MECA.ACOU]Physics [physics]/Mechanics [physics]/Acoustics [physics.class-ph], Physics::Fluid Dynamics, 03 medical and health sciences, 0302 clinical medicine, Optics, Arts and Humanities (miscellaneous), 0103 physical sciences, Slab, Ultrasonic sensor, 030223 otorhinolaryngology, business, Porous medium, 010301 acoustics, ComputingMilieux_MISCELLANEOUS
Abstract: International audience; Measurement of tortuosity and viscous characteristic length of Double-layered porous absorbing materials with rigid-frames via transmitted ultrasonic-wave-Manuscript Draft-Manuscript Number: Full Title: Measurement of tortuosity and viscous characteristic length of Double-layered porous absorbing materials with rigid-frames via transmitted ultrasonic-wave Abstract: In this work, an indirect method is proposed for measuring simultaneously acoustic parameters describing the ultrasonic propagation in double-layered porous medium. The porous media consist of two slabs of homogeneous isotropic porous materials with a rigid frame. Each porous slab is described by equivalent fluid model, in which the acoustic wave propagates only in the fluid saturating the material. The inverse problem is solved numerically using experimental transmitted waves in time domain. Four parameters are inverted: tortuosity and viscous characteristic lengths of the two layers. Tests are performed using industrial plastic foams. Experimental and numerical validation results of this method are presented.
Published: 2015

21. Measuring static thermal permeability and inertial factor of rigid porous materials (L)

Author: Zine El Abiddine Fellah, Mohamed Fellah, Claude Depollier, Erick Ogam, N. Sebaa, Mustapha Sadouki, Farid G. Mitri, Laboratoire de Physique Théorique [University of Science and Technology Houari Boumediene] (LPT), Université des Sciences et de la Technologie Houari Boumediene [Alger] (USTHB), Laboratoire de Mécanique et d'Acoustique [Marseille] (LMA ), Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM), Ecole Préparatoire des Sciences et Techniques (EPSTA), Ultrasound Research Laboratory, The Mayo Clinic and Foundation, Laboratoire d'Acoustique de l'Université du Mans (LAUM), Centre National de la Recherche Scientifique (CNRS)-Le Mans Université (UM), Université des Sciences et de la Technologie Houari Boumediene = University of Sciences and Technology Houari Boumediene [Alger] (USTHB), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), and Le Mans Université (UM)-Centre National de la Recherche Scientifique (CNRS)
Subjects: Time Factors, Inertial frame of reference, Materials science, Acoustics and Ultrasonics, Sound transmission class, Acoustics, 01 natural sciences, Permeability, 03 medical and health sciences, 0302 clinical medicine, Arts and Humanities (miscellaneous), Materials Testing, 0103 physical sciences, Time domain, 030223 otorhinolaryngology, Mathematical Computing, 010301 acoustics, [SPI.ACOU]Engineering Sciences [physics]/Acoustics [physics.class-ph], Rigid frame, Isotropy, Temperature, Mechanics, Models, Theoretical, Inverse problem, [PHYS.MECA.ACOU]Physics [physics]/Mechanics [physics]/Acoustics [physics.class-ph], Inverse scattering problem, Porous medium, Porosity
Abstract: International audience; An acoustic method based on sound transmission is proposed for deducing the static thermal permeability and the inertial factor of porous materials having a rigid frame at low frequencies. The static thermal permeability of porous material is a geometrical parameter equal to the inverse trapping constant of the solid frame [Lafarge et al., J. Acoust. Soc. Am. 102, 1995 (1997)] and is an important characteristic of the porous material. The inertial factor [Norris., J. Wave Mat. Interact. 1, 22 365 (1986)] describes the fluid structure interactions in the low frequency range (1-3 kHz). The proposed method is based on a temporal model of the direct and inverse scattering problems for the propagation of transient audible frequency waves in a homogeneous isotropic slab of porous material having a rigid frame. The static thermal permeability and the inertial factor are determined from the solution of the inverse problem. The minimization between experiment and theory is made in the time domain. Tests are performed using industrial plastic foams. Experimental and theoretical data are in good agreement. Furthermore, the prospects are discussed. This method has the advantage of being simple, rapid, and efficient.
Published: 2011

22. Measuring static viscous permeability of porous absorbing materials

Author: Amine Berbiche, Zine El Abiddine Fellah, Claude Depollier, Mohamed Fellah, Erick Ogam, Farid G. Mitri, Mustapha Sadouki, Laboratoire de Physique Théorique [University of Science and Technology Houari Boumediene] (LPT), Université des Sciences et de la Technologie Houari Boumediene = University of Sciences and Technology Houari Boumediene [Alger] (USTHB), Ondes et Imagerie (O&I), Laboratoire de Mécanique et d'Acoustique [Marseille] (LMA ), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), Chevron Energy Technology Company, Laboratoire d'Acoustique de l'Université du Mans (LAUM), Le Mans Université (UM)-Centre National de la Recherche Scientifique (CNRS), Université des Sciences et de la Technologie Houari Boumediene [Alger] (USTHB), Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM), and Centre National de la Recherche Scientifique (CNRS)-Le Mans Université (UM)
Subjects: Materials science, Acoustics and Ultrasonics, Numerical analysis, Mechanics, Inverse problem, Physics::Geophysics, [PHYS.MECA.ACOU]Physics [physics]/Mechanics [physics]/Acoustics [physics.class-ph], Permeability (earth sciences), Arts and Humanities (miscellaneous), Slab, Nuclear magnetic resonance in porous media, Time domain, Porous medium, Porosity
Abstract: International audience; 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 transmitted waves in time domain. Tests are performed using industrial plastic foams. Experimental and numerical validation results of this method are presented, which show theadvantage 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.
Published: 2014

23. Tribological behavior of biomaterial for total hip prosthesis

Author: Alain Iost, Leila Dekhil, Mamoun Fellah, Mohamed Labaiz, N. Zerniz, Omar Assala, Laboratoire de Physique Théorique [University of Science and Technology Houari Boumediene] (LPT), Université des Sciences et de la Technologie Houari Boumediene [Alger] (USTHB), Université Badji Mokhtar - Annaba [Annaba] (UBMA), Mechanics surfaces and materials processing (MSMP), Arts et Métiers Sciences et Technologies, and HESAM Université (HESAM)-HESAM Université (HESAM)
Subjects: wear, Materials science, Matériaux [Sciences de l'ingénieur], medicine.medical_treatment, Alloy, Total hip replacement, biomaterial, Biomaterial, Adhesion, engineering.material, Tribology, Prosthesis, [SPI.MAT]Engineering Sciences [physics]/Materials, Abrasion (geology), Cracking, [SPI.MECA.MEMA]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Mechanics of materials [physics.class-ph], friction coefficient, engineering, medicine, General Materials Science, Ti-6Al-4V, Composite material, Tribological behavior, Mécanique: Mécanique des matériaux [Sciences de l'ingénieur]
Abstract: Friction and wear plays an important role in determining the performance of biomaterials. To this end, the present research is carried out to understand the tribological behavior important biometallic alloy, Ti-6Al-4V under sliding contact. The friction and wear experiments were carried out using ball-on-disc and pin-on-disc tribometers in ambient air, under different conditions of normal applied loads (3, 6 and 10 N) and sliding speeds (1, 15 and 25 mm.s-1 ) for 3000 m. The obtained research results revealed the lowest coefficient of friction was 0.038 at 1 mm.s-1 and 3 N) while the higher value was in the range of 0.90 at 25 mm.s-1 and 3 N). Results show that the specimens have similar friction and wear performance, although the sliding speed and applied loads are different. The tribomechanical wear, as evident from the observation of abrasion, adhesion and cracking, is the predominant wear mechanism.
Published: 2014

24. Generalized equation for transient-wave propagation in continuous inhomogeneous rigid-frame porous materials at low frequencies

Author: Mohamed Fellah, Farid G. Mitri, Zine El Abiddine Fellah, Claude Depollier, Erick Ogam, Laboratoire de Physique Théorique [University of Science and Technology Houari Boumediene] (LPT), Université des Sciences et de la Technologie Houari Boumediene [Alger] (USTHB), Ondes et Imagerie (O&I), Laboratoire de Mécanique et d'Acoustique [Marseille] (LMA ), Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM), Los Alamos Natl Lab, MPA-11, Sensors & Electrochemical Devices, Acoustics & Sensors Technology Team, Laboratoire d'Acoustique de l'Université du Mans (LAUM), Centre National de la Recherche Scientifique (CNRS)-Le Mans Université (UM), Université des Sciences et de la Technologie Houari Boumediene = University of Sciences and Technology Houari Boumediene [Alger] (USTHB), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), and Le Mans Université (UM)-Centre National de la Recherche Scientifique (CNRS)
Subjects: Physics, [SPI.ACOU]Engineering Sciences [physics]/Acoustics [physics.class-ph], Inertial frame of reference, Acoustics and Ultrasonics, Wave propagation, Rigid frame, Isotropy, Mechanics, Acoustic wave, Low frequency, 01 natural sciences, [PHYS.MECA.ACOU]Physics [physics]/Mechanics [physics]/Acoustics [physics.class-ph], Physics::Fluid Dynamics, 03 medical and health sciences, 0302 clinical medicine, Classical mechanics, Arts and Humanities (miscellaneous), 0103 physical sciences, Transient (oscillation), 030223 otorhinolaryngology, Porous medium, 010301 acoustics
Abstract: International audience; This paper provides a temporal model for the propagation of transient acoustic waves in continuous inhomogeneous isotropic porous material having a rigid frame at low frequency range. A temporal equivalent fluid model in which the acoustic wave propagates only in the fluid saturating the material, is considered. In this model, the inertial effects are described by the inhomogeneous inertial factor [A.N. Norris., J. Wave Mat. Interact. 1 365 (1986)]. The viscous and thermal losses of the medium are described by two inhomogeneous susceptibility kernels which depend on the viscous and thermal permeabilities . The medium is one dimensional and its physical parameters (porosity, inertial factor, viscous and thermal permeabilities) are depth dependent. A generalized wave propagation equation in continuous inhomogeneous material is established and discussed.
Published: 2013

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

Author: Erick Ogam, Claude Depollier, Mohamed Fellah, Zine El Abiddine Fellah, Mustapha Sadouki, Farid G. Mitri, Ondes et Imagerie (O&I), Laboratoire de Mécanique et d'Acoustique [Marseille] (LMA ), Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM), Université des Sciences et de la Technologie Houari Boumediene [Alger] (USTHB), Laboratoire de Physique Théorique [University of Science and Technology Houari Boumediene] (LPT), Los Alamos Natl Lab, MPA-11, Sensors & Electrochemical Devices, Acoustics & Sensors Technology Team, Laboratoire d'Acoustique de l'Université du Mans (LAUM), Centre National de la Recherche Scientifique (CNRS)-Le Mans Université (UM), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), Université des Sciences et de la Technologie Houari Boumediene = University of Sciences and Technology Houari Boumediene [Alger] (USTHB), and Le Mans Université (UM)-Centre National de la Recherche Scientifique (CNRS)
Subjects: 010302 applied physics, Inverse problems, [SPI.ACOU]Engineering Sciences [physics]/Acoustics [physics.class-ph], Materials science, Thermal properties, Viscosity, Isotropy, General Physics and Astronomy, Mechanical waves, Physics::Classical Physics, 01 natural sciences, Tortuosity, [PHYS.MECA.ACOU]Physics [physics]/Mechanics [physics]/Acoustics [physics.class-ph], Shear modulus, 0103 physical sciences, Inverse scattering problem, Ultrasonic sensor, Ultrasonics, Porous materials, Composite material, Mechanical wave, Porosity, Porous medium, 010301 acoustics
Abstract: International audience; 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.
Published: 2013

26. Transient Acoustic Wave Propagation in Porous Media

Author: Mohamed Fellah, Zine El Abiddine Fellah, Claude Depollier, Ondes et Imagerie (O&I), Laboratoire de Mécanique et d'Acoustique [Marseille] (LMA ), Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM), Laboratoire de Physique Théorique [University of Science and Technology Houari Boumediene] (LPT), Université des Sciences et de la Technologie Houari Boumediene [Alger] (USTHB), Laboratoire d'Acoustique de l'Université du Mans (LAUM), Centre National de la Recherche Scientifique (CNRS)-Le Mans Université (UM), Marco G. Beghi, Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), Université des Sciences et de la Technologie Houari Boumediene = University of Sciences and Technology Houari Boumediene [Alger] (USTHB), and Le Mans Université (UM)-Centre National de la Recherche Scientifique (CNRS)
Subjects: [SPI.ACOU]Engineering Sciences [physics]/Acoustics [physics.class-ph], Physical acoustics, Diffusion (acoustics), Materials science, Acoustics, Mathematics::History and Overview, Acoustic wave, 01 natural sciences, Computer Science::Computers and Society, Physics::Geophysics, [PHYS.MECA.ACOU]Physics [physics]/Mechanics [physics]/Acoustics [physics.class-ph], 3. Good health, Physics::Popular Physics, 030507 speech-language pathology & audiology, 03 medical and health sciences, Computer Science::Sound, Frequency domain, 0103 physical sciences, Inverse scattering problem, Time domain, 0305 other medical science, Porous medium, 010301 acoustics, Acoustic attenuation
Abstract: A porous material is a two-phase medium consisting of a solid part (skeleton) and a fluid part (pore space). During the propagation of a sound wave in such a medium, interactions between these two phases of different nature take place, giving various physical properties that are unusual in classical media. The large contact area between solid and fluid, which is the main characteristic of porous media induces new phenomena of diffusion and transport in the fluid, in relation to micro-geometry of the pore space. Many applications are concerned with understanding the behavior of acoustic waves in such media. In geophysics, we are interested in the propagation of acoustic waves in porous rocks, for information on soil composition and their fluid content. Oil companies have greatly contributed to the study of acoustic properties of natural porous media. In medicine, the characterization of porous media such as trabecular bone, is useful for diagnosing osteoporosis, bone disease that is manifested by the deterioration of bone microarchitecture. Acoustic characterization of materials is often achieved by measuring the attenuation coefficient and phase velocity in the frequency domain [1] or by solving the direct and inverse problems directly in the time domain [2–4]. The attractive feature of a time domain based approach is that the analysis is naturally limited by the finite duration of ultrasonic pressures and is consequently the most appropriate approach for the transient signal. The objective of this chapter is to show the most recent theoretical and experimental methods developed by the authors for the acoustic characterization of porous materials. The direct and inverse scattering problems are solved in time domain using experimental reflected and transmitted signals. The physical parameters of the porousmedium are recovered by solving the inverse problem at the asymptotic domain corresponding to the high frequency range (ultrasound), and at the viscous domain (low frequency range). Figures 1 and 2 give an example of porous materials commonly used in the characterization. The figure 1 shows a sample of air-saturated plastic foam used for sound absorption, and figure 2 shows a sample of cancellous bone used in the diagnosis of the disease of osteoporosis.
Published: 2013

27. Acoustic characterization of porous materials with a rigid structure in the low frequency regime

Author: Erick Ogam, Mustapha Sadouki, Mohamed Fellah, Zine El Abiddine Fellah, Claude Depollier, Université des Sciences et de la Technologie Houari Boumediene = University of Sciences and Technology Houari Boumediene [Alger] (USTHB), Laboratoire de Physique Théorique [University of Science and Technology Houari Boumediene] (LPT), Ondes et Imagerie (O&I), Laboratoire de Mécanique et d'Acoustique [Marseille] (LMA ), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), Laboratoire d'Acoustique de l'Université du Mans (LAUM), Le Mans Université (UM)-Centre National de la Recherche Scientifique (CNRS), Université des Sciences et de la Technologie Houari Boumediene [Alger] (USTHB), Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM), and Centre National de la Recherche Scientifique (CNRS)-Le Mans Université (UM)
Subjects: [SPI.ACOU]Engineering Sciences [physics]/Acoustics [physics.class-ph], Materials science, Inertial frame of reference, Biot number, Rigid frame, Isotropy, Mechanics, Inverse problem, 01 natural sciences, Tortuosity, 010305 fluids & plasmas, [PHYS.MECA.ACOU]Physics [physics]/Mechanics [physics]/Acoustics [physics.class-ph], Physics::Fluid Dynamics, Classical mechanics, 0103 physical sciences, Time domain, Porous medium, 010301 acoustics
Abstract: International audience; An acoustic method is proposed for measuring the low frequencies parameters of porous materials having a rigid frame. The Biot equivalent fluid model is considered, in which the viscous losses are described by the the static viscous permeability and an additional viscous parameter. The inertial interactions between fluid and structure are taken into account by the inertial factor. The thermal couplings are modeled using the thermal permeability and the thermal tortuosity. The proposed method is based on a solution of the direct and inverse problems for the propagation of transient audible frequency waves in a homogeneous isotropic slab of porous material having a rigid frame. The physical parameters are determined fromthe solution of the inverse problem using experimental reflected and transmitted waves by porous samples, in a wave guide (pipe). The minimization of the objective function, defined as the difference between experiment and theory, is done in the time domain. Tests are performed using industrial plastic foams. Experimental and theoretical data are in good agreement. Furthermore, the prospects are discussed.
Published: 2013

28. Transient Acoustic Wave Propagation in Non-Integer-Dimensional Rigid Porous Media

Author: Mustapha Sadouki, Zine El Abiddine Fellah, Amine Berbiche, Mohamed Fellah, C. Depollier, Laboratoire de Physique Théorique [University of Science and Technology Houari Boumediene] (LPT), Université des Sciences et de la Technologie Houari Boumediene = University of Sciences and Technology Houari Boumediene [Alger] (USTHB), Ondes et Imagerie (O&I), Laboratoire de Mécanique et d'Acoustique [Marseille] (LMA ), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), Laboratoire d'Acoustique de l'Université du Mans (LAUM), Le Mans Université (UM)-Centre National de la Recherche Scientifique (CNRS), Université des Sciences et de la Technologie Houari Boumediene [Alger] (USTHB), Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM), and Centre National de la Recherche Scientifique (CNRS)-Le Mans Université (UM)
Subjects: [SPI.ACOU]Engineering Sciences [physics]/Acoustics [physics.class-ph], Biot number, Laplace transform, Mathematical analysis, Wave equation, 01 natural sciences, [PHYS.MECA.ACOU]Physics [physics]/Mechanics [physics]/Acoustics [physics.class-ph], 010305 fluids & plasmas, Fractional calculus, 0103 physical sciences, Thermal, Time domain, Porosity, Porous medium, 010301 acoustics, Mathematics
Abstract: International audience; This study concerns the ultrasonic wave propagation in fractional dimensional rigid porousmedia. A Biot equivalent fluid model with a non-integer dimensional space is developed using the Stillinger-Palmer Staravinou formalism. A generalized lossy wave equation is derived and solved analytically in time domain. The coefficients of the propagation equation are constant and depend only on the fractional dimension and the acoustical parameters of the porous material. As in the integer dimension case, the obtained propagation equation contains fractional derivative terms that describe viscous and thermal interactions between the solid and the fluid. The dynamic response of the material is obtained using the Laplace transform method.
Published: 2013

29. Modélisation de la propagation acoustique dans un mi- lieux poreux à structure rigide en basses fréquences

Author: Sadouki, Mustapha, Fellah, Mohamed, Fellah, Zine El Abiddine, Ogam, Erick, Dépollier, Claude, Université des Sciences et de la Technologie Houari Boumediene [Alger] (USTHB), Laboratoire de Physique Théorique [University of Science and Technology Houari Boumediene] (LPT), Ondes et Imagerie (O&I), Laboratoire de Mécanique et d'Acoustique [Marseille] (LMA ), Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM), Laboratoire d'Acoustique de l'Université du Mans (LAUM), Centre National de la Recherche Scientifique (CNRS)-Le Mans Université (UM), Université des Sciences et de la Technologie Houari Boumediene = University of Sciences and Technology Houari Boumediene [Alger] (USTHB), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), and Le Mans Université (UM)-Centre National de la Recherche Scientifique (CNRS)
Subjects: [SPI.ACOU]Engineering Sciences [physics]/Acoustics [physics.class-ph], [PHYS.MECA.ACOU]Physics [physics]/Mechanics [physics]/Acoustics [physics.class-ph]
Abstract: National audience; Dans ce travail, nous étudions la résolution des problèmes direct et inverse pour la propagation d'une onde acoustique dans un matériau poreux à structure rigide en régime basse fréquence. Les paramètres physiques décrivant la propagation dans ce modèle sont : les perméabilités visqueuse et thermique, le paramètre intertiel et la tortuosité thermique. Un nouveau paramètre décrivant les échanges visqueux entre fluide et structure est introduit dans le développement de la perméabilité dynamique basse fréquence. Des tests expérimentaux sur des ondes transmises sont effectués dans un guide. Des comparaisons avec des données théoriques sont aussi données.
Published: 2012

30. Acoustic characterization of air saturated porous materials at audible frequencies

Author: Sadouki, M., Fellah, Mohamed, Fellah, Zine El Abiddine, Ogam, Erick, Dépollier, Claude, Laboratoire de Physique Théorique [University of Science and Technology Houari Boumediene] (LPT), Université des Sciences et de la Technologie Houari Boumediene [Alger] (USTHB), Ondes et Imagerie (O&I), Laboratoire de Mécanique et d'Acoustique [Marseille] (LMA ), Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM), Laboratoire d'Acoustique de l'Université du Mans (LAUM), Centre National de la Recherche Scientifique (CNRS)-Le Mans Université (UM), Université des Sciences et de la Technologie Houari Boumediene = University of Sciences and Technology Houari Boumediene [Alger] (USTHB), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), and Le Mans Université (UM)-Centre National de la Recherche Scientifique (CNRS)
Subjects: [SPI.ACOU]Engineering Sciences [physics]/Acoustics [physics.class-ph], [PHYS.MECA.ACOU]Physics [physics]/Mechanics [physics]/Acoustics [physics.class-ph]
Abstract: International audience; An acoustic method based on sound transmission is proposed for measuring the viscous and thermal permeability, viscous and thermal tortuosity, and porosity of porous materials having a rigid frame at low frequencies. The proposed method is based on a temporal model of the direct and inverse scattering problems for the propagation of transient audible frequency waves in a homogeneous isotropic slab of porous material having a rigid frame. The acoustic parameters are determined from the solution of the inverse problem. The minimization between experiment and theory is made in the time domain. Tests are performed using industrial plastic foams.
Published: 2012

31. Ultrasonic characterization of air-saturated double-layered porous media in time domain

Author: Naima Sebaa, Zine El Abiddine Fellah, Erick Ogam, Mohamed Fellah, F.G. Mitri, C. Depollier, Laboratoire de Mécanique et d'Acoustique [Marseille] (LMA ), Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM), Laboratoire d'Acoustique de l'Université du Mans (LAUM), Centre National de la Recherche Scientifique (CNRS)-Le Mans Université (UM), Laboratoire de Physique Théorique [University of Science and Technology Houari Boumediene] (LPT), Université des Sciences et de la Technologie Houari Boumediene [Alger] (USTHB), Ultrasound Research Laboratory, The Mayo Clinic and Foundation, Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), Le Mans Université (UM)-Centre National de la Recherche Scientifique (CNRS), and Université des Sciences et de la Technologie Houari Boumediene = University of Sciences and Technology Houari Boumediene [Alger] (USTHB)
Subjects: Materials science, Characteristic length, Acoustics, General Physics and Astronomy, 01 natural sciences, Tortuosity, Physics::Fluid Dynamics, 03 medical and health sciences, 0302 clinical medicine, 0103 physical sciences, 030223 otorhinolaryngology, Porosity, 010301 acoustics, [SPI.ACOU]Engineering Sciences [physics]/Acoustics [physics.class-ph], damping, inverse problems, Rigid frame, Isotropy, Mechanics, Inverse problem, Physics::Classical Physics, ultrasonic waves, [PHYS.MECA.ACOU]Physics [physics]/Mechanics [physics]/Acoustics [physics.class-ph], Ultrasonic sensor, Porous medium, porous materials, structural acoustics
Abstract: International audience; This paper concerns the ultrasonic characterization of air-saturated double-layered porous materials by solving the inverse problem using experimental reflected signals at normal incidence. The double-layered porous media consist of two slabs of homogeneous isotropic porous materials with a rigid frame. The ultrasonic propagation in double-layered porous material is modeled using a temporal model in which the inertial effects are described by the tortuosity. The viscous and thermal losses of the medium are described by two susceptibility kernels which depend on the viscous and thermal characteristic lengths. The sensitivity of porosity, tortuosity, and viscous characteristic length of each layer is studied showing their effect on the reflected interface waveforms. The inverse problem is solved numerically by the least-squares method. Five parameters are inverted: porosity and tortuosity of the two layers and the viscous characteristic length of the first layer. The minimization of the discrepancy between experimental and theoretical data is made in the time domain. The inverse problem is shown to be well posed and its solution to be unique. Experimental results for waves reflected by the interfaces of the double-layered porous material are given and compared with theoretical predictions.
Published: 2010

32. Porous and stratified porous media linear models of propagation: Propagation equations in the time domain

Author: Fellah, Zine El Abiddine, Fellah, Mohamed, Dépollier, Claude, Laboratoire de Mécanique et d'Acoustique [Marseille] (LMA ), Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM), Laboratoire de Physique Théorique [University of Science and Technology Houari Boumediene] (LPT), Université des Sciences et de la Technologie Houari Boumediene [Alger] (USTHB), Laboratoire d'Acoustique de l'Université du Mans (LAUM), Centre National de la Recherche Scientifique (CNRS)-Le Mans Université (UM), Michel Bruneau and Catherine Potel, Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), Université des Sciences et de la Technologie Houari Boumediene = University of Sciences and Technology Houari Boumediene [Alger] (USTHB), and Le Mans Université (UM)-Centre National de la Recherche Scientifique (CNRS)
Subjects: [SPI.ACOU]Engineering Sciences [physics]/Acoustics [physics.class-ph], [PHYS.MECA.ACOU]Physics [physics]/Mechanics [physics]/Acoustics [physics.class-ph]
Abstract: ISBN: 9781848210745; International audience
Published: 2009

33. Ultrasound characterization of bone tissues by poroelastic theories

Author: Fellah, Zine El Abiddine, Fellah, Mohamed, Dépollier, Claude, Laboratoire de Mécanique et d'Acoustique [Marseille] (LMA ), Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM), Laboratoire de Physique Théorique [University of Science and Technology Houari Boumediene] (LPT), Université des Sciences et de la Technologie Houari Boumediene [Alger] (USTHB), Laboratoire d'Acoustique de l'Université du Mans (LAUM), Centre National de la Recherche Scientifique (CNRS)-Le Mans Université (UM), Michel Bruneau and Catherine Potel, Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), Université des Sciences et de la Technologie Houari Boumediene = University of Sciences and Technology Houari Boumediene [Alger] (USTHB), and Le Mans Université (UM)-Centre National de la Recherche Scientifique (CNRS)
Subjects: [SPI.ACOU]Engineering Sciences [physics]/Acoustics [physics.class-ph], ComputingMilieux_MISCELLANEOUS, [PHYS.MECA.ACOU]Physics [physics]/Mechanics [physics]/Acoustics [physics.class-ph]
Abstract: International audience
Published: 2009

34. Excess ultrasonic attenuation due to inhomogeneities in porous media (A)?

Author: Naas, Mouna, Sebaa, Naima, Fellah, Zine El Abiddine, Fellah, Mohamed, Lauriks, Walter, Depollier, C., Laboratoire d'Acoustique de l'Université du Mans (LAUM), Centre National de la Recherche Scientifique (CNRS)-Le Mans Université (UM), Laboratoire de Mécanique et d'Acoustique [Marseille] (LMA ), Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM), Laboratoire de Physique Théorique [University of Science and Technology Houari Boumediene] (LPT), Université des Sciences et de la Technologie Houari Boumediene [Alger] (USTHB), Laboratorium voor Akoestiek en Thermische Fysica (LATF), Catholic University of Leuven - Katholieke Universiteit Leuven (KU Leuven), Le Mans Université (UM)-Centre National de la Recherche Scientifique (CNRS), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), and Université des Sciences et de la Technologie Houari Boumediene = University of Sciences and Technology Houari Boumediene [Alger] (USTHB)
Subjects: [SPI.ACOU]Engineering Sciences [physics]/Acoustics [physics.class-ph], [PHYS.MECA.ACOU]Physics [physics]/Mechanics [physics]/Acoustics [physics.class-ph]
Abstract: International audience; While Biot's theory seems well adapted to model the acoustical waves propagation in cancellous bone, some of its predictions do not agree with the experimental results. The excess of attenuation of the fast wave is one of these discrepancies. In this paper we propose a modified Biot's model which takes into account the fluctuations of the physical parameters and their correlations. As a result of this model, we show that this excess of attenuation is due to several processes: i) classical Biot's attenuation, ii) scattering leading to the extension of the wave path, iii) mode conversion. Some comparison between experimental results and numerical simulations are proposed.
Published: 2008

35. Application of the Biot model to ultrasound in bone: direct problem

Author: Zine E.A. Fellah, Naima Sebaa, Mohamed Fellah, Farid G. Mitri, Erick Ogam, Walter Lauriks, Claude Depollier, Laboratoire de Mécanique et d'Acoustique [Marseille] (LMA ), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), Laboratorium voor Akoestiek en Termische Fysica, Catholic University of Leuven - Katholieke Universiteit Leuven (KU Leuven), Laboratoire de Physique Théorique [University of Science and Technology Houari Boumediene] (LPT), Université des Sciences et de la Technologie Houari Boumediene = University of Sciences and Technology Houari Boumediene [Alger] (USTHB), Ultrasound Research Laboratory, The Mayo Clinic and Foundation, Laboratorium voor Akoestiek en Thermische Fysica (LATF), Laboratoire d'Acoustique de l'Université du Mans (LAUM), Le Mans Université (UM)-Centre National de la Recherche Scientifique (CNRS), Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM), Université des Sciences et de la Technologie Houari Boumediene [Alger] (USTHB), and Centre National de la Recherche Scientifique (CNRS)-Le Mans Université (UM)
Subjects: Materials science, Acoustics and Ultrasonics, Models, Biological, 01 natural sciences, Tortuosity, Bone and Bones, 030507 speech-language pathology & audiology, 03 medical and health sciences, Bone Density, Elastic Modulus, Image Interpretation, Computer-Assisted, 0103 physical sciences, medicine, Scattering, Radiation, Computer Simulation, Electrical and Electronic Engineering, 010301 acoustics, Instrumentation, health care economics and organizations, Ultrasonography, [SPI.ACOU]Engineering Sciences [physics]/Acoustics [physics.class-ph], Biot number, Phantoms, Imaging, Viscosity, business.industry, Ultrasound, Mathematical analysis, Inverse problem, equipment and supplies, Biological materials, [PHYS.MECA.ACOU]Physics [physics]/Mechanics [physics]/Acoustics [physics.class-ph], Trabecular bone, medicine.anatomical_structure, Elasticity Imaging Techniques, Stress, Mechanical, Ultrasonic propagation, 0305 other medical science, business, Cancellous bone, human activities
Abstract: Ultrasonic wave propagation in human cancellous bone is considered using Biot's theory modified by the Johnson-Koplik-Dashen model for viscous exchange between fluid and structure. The transmission coefficient is derived for a slab of porous material. Experimental results for fast and slow waves transmitted through human cancellous bone samples are given and compared with theoretical predictions. ispartof: IEEE transactions on ultrasonics, ferroelectrics and frequency control vol:55 issue:7 pages:1508-1515 ispartof: location:NY, New York status: published
Published: 2008

36. Analogy between electromagnetic and acoustic

Author: Fellah, Zine El Abiddine, Sebaa, Naima, Ogam, Erick, Fellah, Mohamed, Depollier, C., Laboratoire de Mécanique et d'Acoustique [Marseille] (LMA ), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), Laboratoire d'Acoustique de l'Université du Mans (LAUM), Le Mans Université (UM)-Centre National de la Recherche Scientifique (CNRS), Laboratoire de Physique Théorique [University of Science and Technology Houari Boumediene] (LPT), Université des Sciences et de la Technologie Houari Boumediene = University of Sciences and Technology Houari Boumediene [Alger] (USTHB), Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM), Centre National de la Recherche Scientifique (CNRS)-Le Mans Université (UM), and Université des Sciences et de la Technologie Houari Boumediene [Alger] (USTHB)
Subjects: [SPI.ACOU]Engineering Sciences [physics]/Acoustics [physics.class-ph], ComputingMilieux_MISCELLANEOUS, [PHYS.MECA.ACOU]Physics [physics]/Mechanics [physics]/Acoustics [physics.class-ph]
Abstract: International audience
Published: 2008

37. Generalized hyperbolic fractional equation for transient-wave propagation in layered rigid-frame porous materials

Author: Mohamed Fellah, Zine El Abiddine Fellah, Claude Depollier, Laboratoire de Physique Théorique [University of Science and Technology Houari Boumediene] (LPT), Université des Sciences et de la Technologie Houari Boumediene [Alger] (USTHB), Laboratoire de Mécanique et d'Acoustique [Marseille] (LMA ), Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM), Laboratoire d'Acoustique de l'Université du Mans (LAUM), Centre National de la Recherche Scientifique (CNRS)-Le Mans Université (UM), Université des Sciences et de la Technologie Houari Boumediene = University of Sciences and Technology Houari Boumediene [Alger] (USTHB), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), and Le Mans Université (UM)-Centre National de la Recherche Scientifique (CNRS)
Subjects: [SPI.ACOU]Engineering Sciences [physics]/Acoustics [physics.class-ph], Materials science, Inertial frame of reference, Acoustics, Rigid frame, Isotropy, PACS number : 43.20.+g, Acoustic wave, Mechanics, 01 natural sciences, Tortuosity, [PHYS.MECA.ACOU]Physics [physics]/Mechanics [physics]/Acoustics [physics.class-ph], 010305 fluids & plasmas, Physics::Fluid Dynamics, 0103 physical sciences, Transient (oscillation), Porous medium, Porosity, 010301 acoustics
Abstract: 5 pages; International audience; This paper provides a temporal model for the propagation of transient ultrasonic waves in a layered isotropic porous material having a rigid frame. A temporal equivalent fluid model is considered, in which the acoustic wave propagates only in the fluid saturating the material. In this model, the inertial effects are described by the layered tortuosity and the viscous and thermal losses of the medium are described by two layered susceptibility kernels which depend on the viscous and thermal characteristic lengths.The medium is one dimensional ans its physical parameters (porosity, tortuosity, and characteristics lengths) are depth dependent. A generalized hyperbolic fractional equation for transient sound wave propagation in layered material is established.
Published: 2008

38. Application of the Biot model to ultrasound in bone : inverse problem

Author: Erick Ogam, F.G. Mitri, C. Depollier, Naima Sebaa, Zine El Abiddine Fellah, M. Fellah, W. Lauriks, Laboratorium voor Akoestiek en Termische Fysica, Catholic University of Leuven - Katholieke Universiteit Leuven (KU Leuven), Laboratoire d'Acoustique de l'Université du Mans (LAUM), Centre National de la Recherche Scientifique (CNRS)-Le Mans Université (UM), Laboratoire de Mécanique et d'Acoustique [Marseille] (LMA ), Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM), Laboratoire de Physique Théorique [University of Science and Technology Houari Boumediene] (LPT), Université des Sciences et de la Technologie Houari Boumediene [Alger] (USTHB), Ultrasound Research Laboratory, The Mayo Clinic and Foundation, Laboratorium voor Akoestiek en Thermische Fysica (LATF), Le Mans Université (UM)-Centre National de la Recherche Scientifique (CNRS), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), and Université des Sciences et de la Technologie Houari Boumediene = University of Sciences and Technology Houari Boumediene [Alger] (USTHB)
Subjects: Well-posed problem, Acoustics and Ultrasonics, Characteristic length, Young's modulus, Models, Biological, 01 natural sciences, Tortuosity, 03 medical and health sciences, symbols.namesake, 0302 clinical medicine, Bone Density, Elastic Modulus, Image Interpretation, Computer-Assisted, 0103 physical sciences, medicine, Humans, Scattering, Radiation, Computer Simulation, Femur, Electrical and Electronic Engineering, 010301 acoustics, Instrumentation, Ultrasonography, Physics, [SPI.ACOU]Engineering Sciences [physics]/Acoustics [physics.class-ph], Biot number, Mathematical analysis, Inverse problem, Poisson's ratio, [PHYS.MECA.ACOU]Physics [physics]/Mechanics [physics]/Acoustics [physics.class-ph], medicine.anatomical_structure, symbols, Elasticity Imaging Techniques, Stress, Mechanical, Cancellous bone, Algorithms, 030217 neurology & neurosurgery
Abstract: This paper concerns the ultrasonic characterization of human cancellous bone samples by solving the inverse problem using experimentally measured signals. The inverse problem is solved numerically by the least squares method. Five parameters are inverted: porosity, tortuosity, viscous characteristic length, Young modulus, and Poisson ratio of the skeletal frame. The minimization of the discrepancy between experiment and theory is made in the time domain. The ultrasonic propagation in cancellous bone is modelled using the Biot theory modified by the Johnson-Koplik-Dashen model for viscous exchange between fluid and structure. The sensitivity of the Young modulus and the Poisson ratio of the skeletal frame is studied showing their effect on the fast and slow waveforms. The inverse problem is shown to be well posed, and its solution to be unique. Experimental results for slow and fast waves transmitted through human cancellous bone samples are given and compared with theoretical predictions. ispartof: IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control vol:55 issue:7 pages:1516-1523 ispartof: location:NY, New York status: published
Published: 2008

39. Measuring permeability of porous materials at low frequency range via acoustic transmitted waves

Author: Mohamed Fellah, Zine El Abiddine Fellah, Naima Sebaa, Farid G. Mitri, Walter Lauriks, Claude Depollier, Laboratoire de Mécanique et d'Acoustique [Marseille] (LMA ), Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM), Laboratoire de Physique Théorique [University of Science and Technology Houari Boumediene] (LPT), Université des Sciences et de la Technologie Houari Boumediene [Alger] (USTHB), Department of Physiology and Biomedical Engineering, Mayo Clinic College of Medicine, Ultrasound Research Laboratory, Laboratorium voor Akoestiek en Thermische Fysica (LATF), Catholic University of Leuven - Katholieke Universiteit Leuven (KU Leuven), Laboratoire d'Acoustique de l'Université du Mans (LAUM), Centre National de la Recherche Scientifique (CNRS)-Le Mans Université (UM), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), Université des Sciences et de la Technologie Houari Boumediene = University of Sciences and Technology Houari Boumediene [Alger] (USTHB), and Le Mans Université (UM)-Centre National de la Recherche Scientifique (CNRS)
Subjects: Materials science, Wave propagation, Acoustics, Radiation Dosage, Granular material, 01 natural sciences, Tortuosity, Permeability, Materials Testing, 0103 physical sciences, Scattering, Radiation, Computer Simulation, Radiometry, 010301 acoustics, Instrumentation, ComputingMilieux_MISCELLANEOUS, 010302 applied physics, [SPI.ACOU]Engineering Sciences [physics]/Acoustics [physics.class-ph], Scattering, Rigid frame, Isotropy, [PHYS.MECA.ACOU]Physics [physics]/Mechanics [physics]/Acoustics [physics.class-ph], Models, Chemical, Inverse scattering problem, Porous medium, Porosity
Abstract: An acoustical transmission method is proposed for measuring permeability of porous materials having rigid frame. Permeability is one of the several parameters required by acoustical theory to characterize porous materials such as plastic foams and fibrous or granular materials. The proposed method is based on a temporal model of the direct and inverse scattering problem for the diffusion of transient low frequency waves in a homogeneous isotropic slab of porous material having a rigid frame. This time domain model of wave propagation was initially introduced by the authors [Z.E.A Fellah and C. Depollier, J. Acoust. Soc. Am. 107, 683 (2000)]. The viscous losses of the medium are described by the model devised by Johnson et al. [J. Fluid. Mech. 176, 379 (1987)]. Reflection and transmission scattering operators for a slab of porous material are derived from the responses of the medium to an incident acoustic pulse. The permeability is determined from the expressions of these operators. Experimental and numerical validation results of this method are presented. This method has the advantage of being simple, rapid, and efficient.
Published: 2007

40. Modélisation temporelle de la propagation acoustique dans un matériau poreux

Author: Fellah, Zine El Abiddine, Depollier, C., Fellah, Mohamed, Laboratoire de Mécanique et d'Acoustique [Marseille] (LMA ), Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM), Laboratoire d'Acoustique de l'Université du Mans (LAUM), Centre National de la Recherche Scientifique (CNRS)-Le Mans Université (UM), Laboratoire de Physique Théorique [University of Science and Technology Houari Boumediene] (LPT), Université des Sciences et de la Technologie Houari Boumediene [Alger] (USTHB), M. Bruneau, C. Potel, Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), Le Mans Université (UM)-Centre National de la Recherche Scientifique (CNRS), and Université des Sciences et de la Technologie Houari Boumediene = University of Sciences and Technology Houari Boumediene [Alger] (USTHB)
Subjects: [SPI.ACOU]Engineering Sciences [physics]/Acoustics [physics.class-ph], [PHYS.MECA.ACOU]Physics [physics]/Mechanics [physics]/Acoustics [physics.class-ph]
Abstract: ISBN13 : 978-2-7462-1449-1
Published: 2006

41. Ultrasonic characterization of human cancellous bone using the Biot theory : inverse problem

Author: Walter Lauriks, Farid G. Mitri, Naima Sebaa, M. Fellah, Armand Wirgin, Claude Depollier, Zine El Abiddine Fellah, Erick Ogam, Laboratorium voor Akoestiek en Termische Fysica, Catholic University of Leuven - Katholieke Universiteit Leuven (KU Leuven), Laboratoire de Mécanique et d'Acoustique [Marseille] (LMA ), Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM), Laboratoire de Physique Théorique [University of Science and Technology Houari Boumediene] (LPT), Université des Sciences et de la Technologie Houari Boumediene [Alger] (USTHB), Laboratoire d'Acoustique de l'Université du Mans (LAUM), Centre National de la Recherche Scientifique (CNRS)-Le Mans Université (UM), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), Université des Sciences et de la Technologie Houari Boumediene = University of Sciences and Technology Houari Boumediene [Alger] (USTHB), and Le Mans Université (UM)-Centre National de la Recherche Scientifique (CNRS)
Subjects: Well-posed problem, Acoustics and Ultrasonics, Characteristic length, Geometry, Young's modulus, 01 natural sciences, Tortuosity, Models, Biological, Bone and Bones, 03 medical and health sciences, symbols.namesake, 0302 clinical medicine, Arts and Humanities (miscellaneous), 0103 physical sciences, medicine, Humans, Poisson Distribution, 030223 otorhinolaryngology, 010301 acoustics, ComputingMilieux_MISCELLANEOUS, Mathematics, Ultrasonography, [SPI.ACOU]Engineering Sciences [physics]/Acoustics [physics.class-ph], Biot number, Femur Neck, Viscosity, Mathematical analysis, Femur Head, Inverse problem, Poisson's ratio, [PHYS.MECA.ACOU]Physics [physics]/Mechanics [physics]/Acoustics [physics.class-ph], medicine.anatomical_structure, symbols, Osteoporosis, Cancellous bone, Porosity
Abstract: This paper concerns the ultrasonic characterization of human cancellous bone samples by solving the inverse problem using experimental transmitted signals. The ultrasonic propagation in cancellous bone is modeled using the Biot theory modified by the Johnson et al. model for viscous exchange between fluid and structure. The sensitivity of the Young modulus and the Poisson ratio of the skeletal frame is studied showing their effect on the fast and slow wave forms. The inverse problem is solved numerically by the least squares method. Five parameters are inverted: the porosity, tortuosity, viscous characteristic length, Young modulus, and Poisson ratio of the skeletal frame. The minimization of the discrepancy between experiment and theory is made in the time domain. The inverse problem is shown to be well posed, and its solution to be unique. Experimental results for slow and fast waves transmitted through human cancellous bone samples are given and compared with theoretical predictions.
Published: 2006

42. Théories poroélastiques pour la caractérisation des tissus osseux

Author: Sebaa, Naima, Fellah, Zine El Abiddine, Depollier, C., Fellah, Mohamed, Lauriks, Walter, Laboratoire d'Acoustique de l'Université du Mans (LAUM), Le Mans Université (UM)-Centre National de la Recherche Scientifique (CNRS), Laboratoire de Mécanique et d'Acoustique [Marseille] (LMA ), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), Laboratoire de Physique Théorique [University of Science and Technology Houari Boumediene] (LPT), Université des Sciences et de la Technologie Houari Boumediene = University of Sciences and Technology Houari Boumediene [Alger] (USTHB), Laboratorium voor Akoestiek en Thermische Fysica (LATF), Catholic University of Leuven - Katholieke Universiteit Leuven (KU Leuven), M. Bruneau, C. Potel, Centre National de la Recherche Scientifique (CNRS)-Le Mans Université (UM), Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM), and Université des Sciences et de la Technologie Houari Boumediene [Alger] (USTHB)
Subjects: [SPI.ACOU]Engineering Sciences [physics]/Acoustics [physics.class-ph], [PHYS.MECA.ACOU]Physics [physics]/Mechanics [physics]/Acoustics [physics.class-ph]
Abstract: ISBN13 : 978-2-7462-1449-1
Published: 2006

43. Transient wave propagation in inhomogeneous porous materials : application of fractional derivatives

Author: C. Depollier, Zine El Abiddine Fellah, Mohamed Fellah, Laboratoire de Physique Théorique [University of Science and Technology Houari Boumediene] (LPT), Université des Sciences et de la Technologie Houari Boumediene = University of Sciences and Technology Houari Boumediene [Alger] (USTHB), Laboratoire de Mécanique et d'Acoustique [Marseille] (LMA ), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), Laboratoire d'Acoustique de l'Université du Mans (LAUM), Le Mans Université (UM)-Centre National de la Recherche Scientifique (CNRS), Université des Sciences et de la Technologie Houari Boumediene [Alger] (USTHB), Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM), and Centre National de la Recherche Scientifique (CNRS)-Le Mans Université (UM)
Subjects: Wave propagation, Mathematical analysis, 010103 numerical & computational mathematics, Telegrapher's equations, Acoustic wave, 01 natural sciences, 010305 fluids & plasmas, Fractional calculus, [PHYS.MECA.ACOU]Physics [physics]/Mechanics [physics]/Acoustics [physics.class-ph], Control and Systems Engineering, 0103 physical sciences, Signal Processing, Reflection (physics), Computer Vision and Pattern Recognition, Transient (oscillation), Time domain, 0101 mathematics, Electrical and Electronic Engineering, Porous medium, Software, ComputingMilieux_MISCELLANEOUS, Mathematics
Abstract: Acoustic wave propagation in inhomogeneous porous material is studied in the time domain. Fractional calculus is used to describe the inertial, viscous and thermal interactions between fluid and structure. A generalized hyperbolic fractional equation (generalized Telegraph equation) for transient sound wave propagation in inhomogeneous material is established. A wave-splitting technique is presented formally for the description of the dynamic equation of the reflection scattering operator.
Published: 2006

44. Mesures des paramètres acoustiques des matériaux poreux

Author: Fellah, Zine El Abiddine, Depollier, C., Fellah, Mohamed, Lauriks, Walter, Laboratoire de Mécanique et d'Acoustique [Marseille] (LMA ), Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM), Laboratoire d'Acoustique de l'Université du Mans (LAUM), Centre National de la Recherche Scientifique (CNRS)-Le Mans Université (UM), Laboratoire de Physique Théorique [University of Science and Technology Houari Boumediene] (LPT), Université des Sciences et de la Technologie Houari Boumediene [Alger] (USTHB), Laboratorium voor Akoestiek en Thermische Fysica (LATF), Catholic University of Leuven - Katholieke Universiteit Leuven (KU Leuven), M. Bruneau, C. Potel, Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), Le Mans Université (UM)-Centre National de la Recherche Scientifique (CNRS), and Université des Sciences et de la Technologie Houari Boumediene = University of Sciences and Technology Houari Boumediene [Alger] (USTHB)
Subjects: [SPI.ACOU]Engineering Sciences [physics]/Acoustics [physics.class-ph], [PHYS.MECA.ACOU]Physics [physics]/Mechanics [physics]/Acoustics [physics.class-ph]
Abstract: ISBN13 : 978-2-7462-1449-1
Published: 2006

45. Transient acoustic wave propagation in air-saturated porous media at low frequencies

Author: Farid G. Mitri, Naima Sebaa, Mohamed Fellah, Walter Lauriks, Claude Depollier, Zine El Abiddine Fellah, Laboratoire de Mécanique et d'Acoustique [Marseille] (LMA ), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), Laboratoire de Physique Théorique [University of Science and Technology Houari Boumediene] (LPT), Université des Sciences et de la Technologie Houari Boumediene = University of Sciences and Technology Houari Boumediene [Alger] (USTHB), Department of Physiology and Biomedical Engineering, Mayo Clinic College of Medicine, Ultrasound Research Laboratory, Laboratorium voor Akoestiek en Thermische Fysica (LATF), Catholic University of Leuven - Katholieke Universiteit Leuven (KU Leuven), Laboratoire d'Acoustique de l'Université du Mans (LAUM), Le Mans Université (UM)-Centre National de la Recherche Scientifique (CNRS), Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM), Université des Sciences et de la Technologie Houari Boumediene [Alger] (USTHB), and Centre National de la Recherche Scientifique (CNRS)-Le Mans Université (UM)
Subjects: [SPI.ACOU]Engineering Sciences [physics]/Acoustics [physics.class-ph], 010302 applied physics, Materials science, Scattering, Acoustics, Rigid frame, Isotropy, General Physics and Astronomy, Mechanics, Low frequency, 01 natural sciences, Tortuosity, [PHYS.MECA.ACOU]Physics [physics]/Mechanics [physics]/Acoustics [physics.class-ph], 0103 physical sciences, Slab, Time domain, Porous medium, 010301 acoustics
Abstract: International audience; This paper provides a temporal model of the direct scattering problem for the propagation of transient low frequency waves in a homogeneous isotropic slab of porous material having a rigid frame. In this model, the inertial effects are described by the low frequency approximation of the tortuosity. The viscous and thermal losses of the medium are modeled by viscous and thermal permeabilities. The propagation equation is derived and solved analytically in the time domain. An original expression of Green's function of the porous medium is obtained. The transmission scattering operator of the first transmitted wave is calculated and compared with experimental data.
Published: 2007

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