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A Novel Approach for Three-Dimensional Acoustic Source Localization in Orthotropic Medium.

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Title: A Novel Approach for Three-Dimensional Acoustic Source Localization in Orthotropic Medium.
Authors: Afoutou, Jérôme S.1 (AUTHOR) sonagnon.jerome.afoutou@u-picardie.fr, Lamy, Frédéric2 (AUTHOR), Dubois, Frédéric3 (AUTHOR)
Source: Journal of Nondestructive Evaluation. Jun2026, Vol. 45 Issue 2, p1-20. 20p.
Subjects: Acoustic localization, Sensor placement, Global optimization, Differential evolution, Anisotropic crystals, Parameter estimation, Elastic wave propagation, Wave equation
Abstract: This work investigates the three-dimensional localization of acoustic emission sources in a cartesian orthotropic medium using a geometric approach. The proposed method minimizes a constrained nonlinear objective function formulated from arrival times, computed via the 3D Christoffel equation for wave propagation in orthotropic solids. Acoustic test points (ATPs) and emission times were randomly generated to evaluate the robustness of the localization procedure. Localization was performed under two scenarios: first, assuming known material parameters; and second, jointly estimating both the source coordinates and the material parameters. This increased the number of unknowns from four (source position and emission time) to ten, with the six additional variables corresponding to the 3D Hankinson parameters characterizing wave velocity anisotropy. The study examined the effects of both number of sensors (ranging from 4 to 14) and spatial configuration (eight distinct arrangements) on localization accuracy. Two global optimization algorithms (DIRECT and differential evolution) were employed to minimize the objective function. Results have revealed that localization performance is influenced more by sensor placement than by sensors quantity. The differential evolution algorithm exhibited greater robustness with and less sensitivity to sensor positioning. The findings confirmed the effectiveness of the proposed methodology for accurate acoustic source localization and concurrent estimation of material parameters in orthotropic media. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Nondestructive Evaluation is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
An: 193627777
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  Data: A Novel Approach for Three-Dimensional Acoustic Source Localization in Orthotropic Medium.
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  Data: <searchLink fieldCode="AR" term="%22Afoutou%2C+Jérôme+S%2E%22">Afoutou, Jérôme S.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> sonagnon.jerome.afoutou@u-picardie.fr</i><br /><searchLink fieldCode="AR" term="%22Lamy%2C+Frédéric%22">Lamy, Frédéric</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Dubois%2C+Frédéric%22">Dubois, Frédéric</searchLink><relatesTo>3</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Nondestructive+Evaluation%22">Journal of Nondestructive Evaluation</searchLink>. Jun2026, Vol. 45 Issue 2, p1-20. 20p.
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  Data: <searchLink fieldCode="DE" term="%22Acoustic+localization%22">Acoustic localization</searchLink><br /><searchLink fieldCode="DE" term="%22Sensor+placement%22">Sensor placement</searchLink><br /><searchLink fieldCode="DE" term="%22Global+optimization%22">Global optimization</searchLink><br /><searchLink fieldCode="DE" term="%22Differential+evolution%22">Differential evolution</searchLink><br /><searchLink fieldCode="DE" term="%22Anisotropic+crystals%22">Anisotropic crystals</searchLink><br /><searchLink fieldCode="DE" term="%22Parameter+estimation%22">Parameter estimation</searchLink><br /><searchLink fieldCode="DE" term="%22Elastic+wave+propagation%22">Elastic wave propagation</searchLink><br /><searchLink fieldCode="DE" term="%22Wave+equation%22">Wave equation</searchLink>
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  Label: Abstract
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  Data: This work investigates the three-dimensional localization of acoustic emission sources in a cartesian orthotropic medium using a geometric approach. The proposed method minimizes a constrained nonlinear objective function formulated from arrival times, computed via the 3D Christoffel equation for wave propagation in orthotropic solids. Acoustic test points (ATPs) and emission times were randomly generated to evaluate the robustness of the localization procedure. Localization was performed under two scenarios: first, assuming known material parameters; and second, jointly estimating both the source coordinates and the material parameters. This increased the number of unknowns from four (source position and emission time) to ten, with the six additional variables corresponding to the 3D Hankinson parameters characterizing wave velocity anisotropy. The study examined the effects of both number of sensors (ranging from 4 to 14) and spatial configuration (eight distinct arrangements) on localization accuracy. Two global optimization algorithms (DIRECT and differential evolution) were employed to minimize the objective function. Results have revealed that localization performance is influenced more by sensor placement than by sensors quantity. The differential evolution algorithm exhibited greater robustness with and less sensitivity to sensor positioning. The findings confirmed the effectiveness of the proposed methodology for accurate acoustic source localization and concurrent estimation of material parameters in orthotropic media. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Journal of Nondestructive Evaluation is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – Type: doi
        Value: 10.1007/s10921-026-01358-2
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      – Code: eng
        Text: English
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        PageCount: 20
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      – SubjectFull: Acoustic localization
        Type: general
      – SubjectFull: Sensor placement
        Type: general
      – SubjectFull: Global optimization
        Type: general
      – SubjectFull: Differential evolution
        Type: general
      – SubjectFull: Anisotropic crystals
        Type: general
      – SubjectFull: Parameter estimation
        Type: general
      – SubjectFull: Elastic wave propagation
        Type: general
      – SubjectFull: Wave equation
        Type: general
    Titles:
      – TitleFull: A Novel Approach for Three-Dimensional Acoustic Source Localization in Orthotropic Medium.
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            NameFull: Afoutou, Jérôme S.
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            NameFull: Lamy, Frédéric
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            NameFull: Dubois, Frédéric
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            – D: 01
              M: 06
              Text: Jun2026
              Type: published
              Y: 2026
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