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Addressing the ill-posedness of multi-layer porous media characterization in impedance tubes through the addition of air gaps behind the sample: numerical validation
- Source :
- Journal of Sound and Vibration, Journal of Sound and Vibration, Elsevier, 2022, 520, pp.116601, Journal of Sound and Vibration, Elsevier, 2021, Journal of Sound and Vibration, 2022, 520, pp.116601
- Publication Year :
- 2022
- Publisher :
- HAL CCSD, 2022.
-
Abstract
- International audience; This paper is concerned with plane wave propagation in multi-layer assemblies of rigid isotropic porous media inside impedance tubes. The focus is placed on the inverse problem, i.e., the retrieval of the intrinsic properties defining the pore micro-structure of each layer: the porosity, the pore mean size and the pore size standard deviation. Each layer is considered isotropic. Such an inverse problem can be ill-posed due to the non-uniqueness of the solution. The technique explored in this work is the consideration of additional acoustic observations, where air gaps are placed behind the multi-layer assembly. The aptitude of this strategy to overcome the ill-posedness of the inverse problem is evaluated on numerical synthetic data, on assemblies made of three layers. For a given fixed amount of input data, inverse problems including different observations with air gaps can yield more accurate results, removing the ill-posedness.
- Subjects :
- Materials science
Acoustics and Ultrasonics
Bayesian inference
01 natural sciences
Standard deviation
Synthetic data
air gaps
0103 physical sciences
Porosity
010301 acoustics
Electrical impedance
010302 applied physics
Mechanical Engineering
Isotropy
multi-layer materials
Mechanics
material characterization
Inverse problem
Condensed Matter Physics
[PHYS.MECA.ACOU]Physics [physics]/Mechanics [physics]/Acoustics [physics.class-ph]
impedance tube
Mechanics of Materials
Porous medium
Focus (optics)
[PHYS.MECA.ACOU] Physics [physics]/Mechanics [physics]/Acoustics [physics.class-ph]
porous materials
Subjects
Details
- Language :
- English
- ISSN :
- 0022460X and 10958568
- Database :
- OpenAIRE
- Journal :
- Journal of Sound and Vibration, Journal of Sound and Vibration, Elsevier, 2022, 520, pp.116601, Journal of Sound and Vibration, Elsevier, 2021, Journal of Sound and Vibration, 2022, 520, pp.116601
- Accession number :
- edsair.doi.dedup.....c1495cfb8fcc95c3042629497951f893