The coupling is considered in the borehole and tube problems. At a circularly cylindrical interface, these two modes are coupled with each other.
The electromagnetic fields are expressed in terms of transverse electric and transverse magnetic modes. For a given coil source, the semi-analytic solution of the fields in an unflawed conductor can be obtained using this method. The expansion coefficients are determined by the continuity conditions at the interface between different regions. Each eigenfunction belongs to different eigenvalue. In this dissertation, semi-analytical approaches are presented to efficiently solve a series of EC problems in cylindrical polar coordinates.īy applying the truncation in an unbounded domain, the fields are expanded into a linear combination of the eigenfunctions. In order to deal with high conductivity and low operating frequency, the conventional pure numerical methods require large memory and long computing time to accurately solve EC problems.
The modeling of eddy current (EC) problems is not only helpful for the probe design and the interpretation of measurement data, but also essential to the corresponding inverse problems.
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