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JOURNALS // Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika // Archive

Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2016 Number 2(40), Pages 53–62 (Mi vtgu518)

MECHANICS

Modeling electromagnetic emission processes in the geological environment

M. E. Dolgiiab

a Tomsk Polytechnic University, Tomsk, Russian Federation
b Tomsk State University, Tomsk, Russian Federation

Abstract: A model which is based on thermodynamic representations and allows one to describe processes occurring in the crust and leading to electromagnetic emission is proposed. The equations involved in the model show that a change in the electric field strength vector of the system is related to the change in the fields of deformation, polarization, and magnetization. Under the action of the deformation field, these components are changed, which reflects the reaction of the environment to the action of this field, and these changes, in turn, lead to a change in the deformation field. The relations connecting the change in the field of deformation with changes in the electric and magnetic fields have been obtained. For increments of the electric and magnetic fields, these relations contain parameters determined from the experiment and have a clear physical meaning. This is concerned, for example, to coefficients of piezo-magnetic and piezo-electric effects.
The spatial electric and magnetic field distribution calculated by this model qualitatively agrees with experimental data. The relation between the deformation field and electromagnetic field makes it possible to construct spatial distributions of the electric and magnetic fields by a known deformation. In the presence of a priori information on the location of the deformation source, finding the solution of the inverse problem is also possible.

Keywords: physical model, electromagnetic radiation, natural pulse electromagnetic field of the Earth.

UDC: 53.098

Received: 27.01.2016

DOI: 10.17223/19988621/40/6



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