Analytical method for the ultrasonic characterization of homogeneous rigid porous materials from transmitted and reflected coefficients

Groby, Jean‐Philippe; Ogam, Erick; Ryck, Laurent De; Sebaa, Naima; Lauriks, Walter

doi:10.1121/1.3283043

Cited by 42 publications

(26 citation statements)

References 28 publications

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“…A similar analytical method based on ultrasonic measurements was developed in Ref. 20 with the advantage of evaluating the porosity at the same time. The drawback in this method is that its accuracy depends on the pressure measurements, but also on the uncertainties on the input parameters measured directly.…”

Section: A Direct Measurementsmentioning

confidence: 99%

Acoustical and mechanical characterization of poroelastic materials using a Bayesian approach

Chazot

Zhang

Antoni

2012

The Journal of the Acoustical Society of America

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A characterization method of poroelastic materials saturated by air is described. This inverse method enables the evaluation of all the parameters with a simple measurement in a standing wave tube. Moreover, a Bayesian approach is used to return probabilistic data such as the maximum a posteriori and the confidence interval of each parameter. To get these data, it is necessary to define prior probability distributions on the parameters characterizing the studied material. This last point is very important to regularize the inverse problem of identification. In a first step, the direct problem formulation is presented. Then, the inverse characterization is developed and applied to simulated and experimental data.

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Section: A Direct Measurementsmentioning

confidence: 99%

Acoustical and mechanical characterization of poroelastic materials using a Bayesian approach

Chazot

Zhang

Antoni

2012

The Journal of the Acoustical Society of America

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“…These parameters are rarely measured non-acoustically. 5,6 There are efficient acoustical methods to measure these parameters (e.g., Refs. 7 and 8).…”

Section: Introductionmentioning

confidence: 99%

Asymptotic limits of some models for sound propagation in porous media and the assignment of the pore characteristic lengths

Horoshenkov¹,

Groby²,

Dazel³

2016

The Journal of the Acoustical Society of America

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Modeling of sound propagation in porous media requires the knowledge of several intrinsic material parameters, some of which are difficult or impossible to measure directly, particularly in the case of a porous medium which is composed of pores with a wide range of scales and random interconnections. Four particular parameters which are rarely measured non-acoustically, but used extensively in a number of acoustical models, are the viscous and thermal characteristic lengths, thermal permeability, and Pride parameter. The main purpose of this work is to show how these parameters relate to the pore size distribution which is a routine characteristic measured non-acoustically. This is achieved through the analysis of the asymptotic behavior of four analytical models which have been developed previously to predict the dynamic density and/or compressibility of the equivalent fluid in a porous medium. In this work the models proposed by Johnson, Koplik, and Dashn [J. Fluid Mech. 176, 379–402 (1987)], Champoux and Allard [J. Appl. Phys. 70(4), 1975–1979 (1991)], Pride, Morgan, and Gangi [Phys. Rev. B 47, 4964–4978 (1993)], and Horoshenkov, Attenborough, and Chandler-Wilde [J. Acoust. Soc. Am. 104, 1198–1209 (1998)] are compared. The findings are then used to compare the behavior of the complex dynamic density and compressibility of the fluid in a material pore with uniform and variable cross-sections.

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“…The eigenvalues are ordered in pairs of a forward and a backward propagating wave. A classical solution to (10) isŝ(x 2 ) = exp{−(x 2 − x * )A}ŝ(x * ), which, using decomposition (13), can be written asŝ…”

Section: Global Matrix Solution Of the Biot Equationsmentioning

confidence: 99%

Characterising poroelastic materials in the ultrasonic range - A Bayesian approach

Niskanen

Dazel

Groby

et al. 2019

Journal of Sound and Vibration

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Acoustic fields scattered by poroelastic materials contain key information about the materials' pore structure and elastic properties. Therefore, such materials are often characterised with inverse methods that use acoustic measurements. However, it has been shown that results from many existing inverse characterisation methods agree poorly. One reason is that inverse methods are typically sensitive to even small uncertainties in a measurement setup, but these uncertainties are difficult to model and hence often neglected. In this paper, we study characterising poroelastic materials in the Bayesian framework, where measurement uncertainties can be taken into account, and which allows us to quantify uncertainty in the results. Using the finite element method, we simulate measurements where ultrasonic waves are incident on a water-saturated poroelastic material in normal and oblique angles. We consider uncertainties in the incidence angle and level of measurement noise, and then explore the solution of the Bayesian inverse problem, the posterior density, with an adaptive parallel tempering Markov chain Monte Carlo algorithm. Results show that both the elastic and pore structure parameters can be feasibly estimated from ultrasonic measurements.

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Analytical method for the ultrasonic characterization of homogeneous rigid porous materials from transmitted and reflected coefficients

Cited by 42 publications

References 28 publications

Acoustical and mechanical characterization of poroelastic materials using a Bayesian approach

Acoustical and mechanical characterization of poroelastic materials using a Bayesian approach

Asymptotic limits of some models for sound propagation in porous media and the assignment of the pore characteristic lengths

Characterising poroelastic materials in the ultrasonic range - A Bayesian approach

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