Cite this article as:

Gubatenko V. P., Moskovskiy I. G. Analytical solutions of three-dimensional geoelectric problems. Izvestiya of Saratov University. Earth Sciences, 2012, vol. 12, iss. 2, pp. 62-68. DOI: https://doi.org/10.18500/1819-7663-2012-12-2-62-68

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Heading: 
Geology
UDC: 
550.837
Language: 
Russian

Analytical solutions of three-dimensional geoelectric problems

Authors: 
Gubatenko Valeriy Petrovich, Saratov State University, 83, Astrakhanskaya Str., Saratov, 410012, Russia, gubatenkovp@gmail.com
Moskovskiy Igor Georgievich, Saratov State Technical University, 410054, Saratov, str. B. Sadovaya, 127, SSTU, mosig@mail.ru
Abstract

A method for obtaining analytical solutions of Maxwell equations is proposed for stationary and alternating electromagnetic fields. In contrast to traditional methods of finding the analytical solutions, based on the solution of direct problems of electrical prospecting, this method uses a specially posed inverse problem. A package of new analytical solutions of three-dimensional problems of electrical prospecting is designed

Key words: 
analytical solutions, the direct and inverse problems, electrical prospecting
DOI: 
https://doi.org/10.18500/1819-7663-2012-12-2-62-68
References

1. Губатенко В. П. Построение класса переменных электромагнитных полей для линейных изотропных сред // Недра Поволжья и Прикаспия. 2011. Вып. 66. С. 70–77.

2. Губатенко В. П. Нахождение аналитических решений задач геоэлектрики на основе решения обратнойзадачи // Недра Поволжья и Прикаспия. 2011. Вып. 67. С. 34–46.

3. Кисунько Г. В. Электродинамика полых систем. Л., 1949. 427 с.

4. Mohsen A. Electromagnetic field representation inhomogeneous anisotropic media // Appl. Phys. 1973. Vol. 2, № 3. P. 123–128.

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