Quantitative Imaging of Corrosion in Plates by Eddy Current Methods

We consider the problem of determining material loss due to corrosion in a plate. Eddy current data are collected on one side of the plate with corrosion damage occurring on the opposite side. Our work is based on linearizing the relationship between eddy current loop impedance change with the loss profile. In this context, we show that eddy current data are sufficient to uniquely determine the material loss profile. Because of the ill posedness of the reconstruction problem, we propose three regularization strategies in devising computational methods. Numerical results using consistent data, and with added noise, indicate that the computational methods are quite capable of obtaining accurate quantitative estimates of the loss profile.