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In this paper, we tackle the direct and inverse problems for the Remote-FieldEddy-Current (RFEC) technology. The direct problem is the sensor model, wheregiven the geometry the measurements are obtained. Conversely, the inverseproblem is where the geometry needs to be estimated given the fieldmeasurements. These problems are particularly important in the field ofNon-Destructive Testing (NDT) because they allow assessing the quality of thestructure monitored. We solve the direct problem in a parametric fashion usingLeast Absolute Shrinkage and Selection Operation (LASSO). The proposed inversemodel uses the parameters from the direct model to recover the thickness usingleast squares producing the optimal solution given the direct model. This studyis restricted to the 2D axisymmetric scenario. Both, direct and inverse models,are validated using a Finite Element Analysis (FEA) environment with realisticpipe profiles.

From the Skin-Depth Equation to the Inverse RFEC Sensor Model