This work is motivated by the monitoring of conductive clogging deposits insteam generator at the level of support plates. One would like to use monoaxialcoils measurements to obtain estimates on the clogging volume. We propose a 3Dshape optimization technique based on simplified parametrization of thegeometry adapted to the measurement nature and resolution. The direct problemis modeled by the eddy current approximation of time-harmonic Maxwell'sequations in the low frequency regime. A potential formulation is adopted inorder to easily handle the complex topology of the industrial problem setting.We first characterize the shape derivatives of the deposit impedance signalusing an adjoint field technique. For the inversion procedure, the direct andadjoint problems have to be solved for each coil vertical position which isexcessively time and memory consuming. To overcome this difficulty, we proposeand discuss a steepest descent method based on a fixed and invarianttriangulation. Numerical experiments are presented to illustrate theconvergence and the efficiency of the method.
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