Reconstruction of surface radial profiles of the electrophysical characteristics of cylindrical objects during eddy current measurements with a priori data. The selection formation for the surrogate model construction

Abstract

The prospects of solving the multi-parameter inverse problem of eddy current measurements are shown. This problem is the identification of the radial profiles of the electrophysical characteristics of cylindrical control objects by the approximation method. The method involves the use of a priori information about the testing objects obtained as a result of mathematical modelling. The problem statement is completed, the main stages of its effective solution are determined. A universal mathematical model of the measurement process is presented, a set of programs for its implementation in the Python 3 is created. The adequacy of the created software is proved by calculations on the test models for simple cases when analytical solutions are known. A series of numerical experiments using a set of programs are carried out. The experiments have shown the possibility of distinction of distribution profile types of material characteristics of modelling objects. The preparatory stage of constructing an approximation surrogate model for the case of the dependence of the output signal of the eddy current probe on the electrical conductivity and magnetic permeability at a fixed excitation frequency has been completed. The preparatory stage includes the Design of Computer Experiment creation based on Sobol’s LPt-sequences and the formation of training sample based on an “accurate” electrodynamic model. The ways of generalization to more complex cases of solving measurement problems are indicated.