3D direct and inverse solvers for eddy current testing of deposits in steam generator

Houssem Haddar 1 Mohamed Kamel Riahi 1
1 DeFI - Shape reconstruction and identification
CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique, Inria Saclay - Ile de France, X - École polytechnique, CNRS - Centre National de la Recherche Scientifique : UMR7641
Abstract : We consider the inverse problem of estimating the shape profile of an unknown deposit from a set of eddy current impedance measurements. The measurements are acquired with an axial probe, which is modeled by a set of coils that generate a magnetic field inside the tube. For the direct problem, we validate the method that takes into account the tube support plates, highly conductive part, by a surface impedance condition. For the inverse problem, finite element and shape sensitivity analysis related to the eddy current problem are provided in order to determine the explicit formula of the gradient of a least square misfit functional. A geometrical-parametric shape inversion algorithm based on cylindrical coordinates is designed to improve the robustness and the quality of the reconstruction. Several numerical results are given in the experimental part. Numerical experiments on synthetic deposits, nearby or far away from the tube, with different shapes are considered in the axisymmetric configuration.
Type de document :
[Research Report] INRIA Saclay - Equipe DeFI. 2014
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Contributeur : Mohamed Kamel Riahi <>
Soumis le : jeudi 24 juillet 2014 - 12:13:36
Dernière modification le : jeudi 10 mai 2018 - 02:04:14

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  • HAL Id : hal-01044648, version 1
  • ARXIV : 1407.6237



Houssem Haddar, Mohamed Kamel Riahi. 3D direct and inverse solvers for eddy current testing of deposits in steam generator. [Research Report] INRIA Saclay - Equipe DeFI. 2014. 〈hal-01044648〉



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