UDC 519.6
1 National University of Water Management and Natural Resources, Rivne, Ukraine
 abomba@ukr.net
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IDENTIFYING THE STRUCTURE OF SOIL MASSIFS
BY NUMERICAL QUASICONFORMAL MAPPING METHODS
Abstract. A method of identifying the parameters of the structure of small-sized objects, which assumes the presence at the domain boundary
(for each of the corresponding injections) of only equipotential lines (with given values of current or flow function)
and streamlines (with known potential distributions), is adapted for the cases of image reconstruction of large soil massifs.
A significant advantage of the developed algorithm over the known ones is the avoidance of the “traditional” procedure of artificial “cutting”
of an infinite domain due to narrowing the localization of this singularity to the neighborhood of a certain point.
Numerical experiments are carried out and their results are compared with the known solutions.
Keywords: electrical resistivity tomography, quasiconformal mappings, identification, inverse problems, numerical methods.
FULL TEXT
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