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Master of Science programme:

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GEOELECTRICS
The investigation of the Earth's internal structure is one of the most important tasks of natural sciences nowadays. The geoelectrics is a part of the Earth science dated back to the thirties of XX century. After the World War II in the laboratory of geoelecrics there were obtained significant results in the development of theory and practice of frequency sounding with controlled source as well as methods using natural electromagnetic field. The employment of this results allowed us to gain new knowledge of the Earth's crust and upper mantle conductivities at the NorthWestern part of Russian Plate and the structure of bottom sediments in the Arctic Ocean shelf. The models of frozen rocks based on the fractal geometry were also developed.
Disciplines (Lectures)
Principles of the geophysical inverse problem solution
The mathematical grounds for solution of the inverse problems of geophysics are given. The
methods of regularization for incorrectly stated problems are considered. Statistical methods of
estimation of searching parameters for geophysical objects are presented. The algorithms for rayed
and diffractional geophysical tomography are considered.
Data analysis and processing of geophysical information
The modern methods of geophysical data processing are considered: Fourier transform, Laplace
transform, correlation analysis, estimate of the power spectrum, mutual spectral analysis,
maximum entropy spectral analysis, cepstrum analysis, deconvolution (inverse) filtering, bondpass
filtering, Batteruorte filtering, wave propagation in the layed media as filtering process, velocity
filtering, gomomorphic filtering.
Geothermics and radiometry
Heat flow, temperature evaluation by heat flow data. Estimation of the Earth's interior uppermost and lowermost temperature starting from elastic properties of rocks: temperature of melting and adiabatic compression. Temperature assessment on the base of the Earth's electrical conductivity data. Thermal history of the Earth. Main contributors of the heat inside the Earth. The problem of the Earth's heating as a consequence of radioactive elements decomposition.
General geology
The subject of geology, its branches. Endogenous, exogenous and metamorphic processes in Earth
crust. Introduction to minerology and petrology. Geophysical methoads in geology. Geotectonic
zoning of Russia, its mineral resources and possibility to increase it.
Lectures are followed by geological practice in Crimea.
The nature of a natural electromagnetic field
Brief characterization of natural electromagnetic field used in magnetotelluric soundings (MTS).
The criterion of MTS theory applicability in the framework of Tikhonov–Kanjar approach.
MTS technique in the case of horizontal–inhomogeneous medium and inhomogeneous electromagnetic field.
The nature of a natural electromagnetic field
Direct problem. Method of linear filters for controlled sources and finite differences method for 2–D problem. Inverse problem.
Conductivity — function of one variable, two variables, finite–constant, continuous. The procedures of regularization, assessment of data resolving power and solution error.
Disciplines (Lectures) for choice
Elecroconductivity of the mantle
The main attention is devoted to evaluation of the conductivity of the mantle using results of global and regional magnetovariationas sounding; comparative analysis of known mantle models; investigation of parameters characterized the conductive properties of the mantle substance; methods of research.
Models of rocks conductivity
Electrical properties of rocks for direct and alternating current. Physical models of polarization. Sheinman's model of two–component medium. Fractal models of conductivity. Magnetic dependence of electrical parameters. Effects of frequency dispersion in geoelectrics. Seismoelectric effects of 1st and 2nd kind.
Inductive electrical prospecting
Electromagnetic fields of various sources over the horizontal layered media. Solving methods of direct problem of electromagnetic soundings. Frequency soundings, transient soundings and other techniques. Induced polarization problems and highresolving electrical prospecting.
Methods of magnetotelluric information processing
MT impedance as the base for MT data analysis and interpretation. Methods of solving equations system linking natural electromagnetic field components. Robust regression as applied to MT data processing. Comparison of processing techniques.


