Magnetic fields of 3-D anisotropic bodies: Theory and practice of calculations

• Published in: Izvestiya. Physics of the solid earth Vol. 45; no. 8; pp. 640 - 655
• Main Authors: Starostenko, V. I., Shuman, V. N., Ivashchenko, I. N., Legostaeva, O. V., Savchenko, A. S., Skrinik, O. Ya
• Format: Journal Article
• Language: English
• Published: Dordrecht SP MAIK Nauka/Interperiodica 01-08-2009; Springer Nature B.V
• Subjects: Algorithms; Anisotropy; Earth and Environmental Science; Earth Sciences; Geological structures; Geophysics; Geophysics/Geodesy; Magnetic fields; Plate tectonics; 91.25.Cw
• ISSN: 1069-3513; 1555-6506
• DOI: 10.1134/S1069351309080047

The general theory of the distribution of the volume and surface magnetic mass within 3-D anisotropic bodies and solving the forward problem is given in this paper. An algorithm for calculating the magnetic fields of monoclines of complex shape and folded structures with uniform anisotropy is constructed. The algorithm is based on the regularities in the relationship between the magnetic susceptibility of anisotropy, tectonic structure, and the anomalous magnetic field established experimentally by Zavoisky. These regularities not only simplify the solution of the problem, but significantly facilitate the preparation of original field data necessary for solving it. The latter circumstance is of especial importance. The algorithm is designed for wide practical application in the construction of 3-D magnetic models of local and regional geological structures.
We draw attention to the fact that the use of a curvilinear coordinate system is reasonable in cases when the distribution of the magnetic mass density in anisotropic geological formations is studied.
The features of the relationship between the intensity and induction of a magnetic field in different unit systems are pointed out in their application to magnetology problems.