Methods for reconstructing harmonic functions from the magnetic field [Delta]T and V.N. Strakhov's function [Delta]S: A review

We give an overview of the methods designed for reconstructing close-to-harmonic functions from the magnetic field [Delta]T. The formula of Yu.P. Tafeev is refined. It is shown that this refined formula directly leads to the relation derived by V.M. Gordin and his colleagues that allows isolating the harmonic component in the function [Delta]T. V.N. Strakhov's linearized representation of the function [Delta]T is immediately derived from the main approximate Tafeev formula for Q [Delta]T. The experience of using Strakhov's [Delta]S function in the interpretation of the magnetic anomaly [Delta]T generated by the Krivoi Rog structure is described. It is noted that the problem of reconstructing the corresponding harmonic functions from the data of magnetic and gravity surveys has much in common. The specific features of measuring the magnetic field H and magnetic induction B in the material media are considered, and the physical interpretation of these fields is presented.[PUBLICATION ABSTRACT]