Identifying the Structure of Soil Massifs by Numerical Quasiconformal Mapping Methods

The 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 distributio...

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Published inCybernetics and systems analysis Vol. 57; no. 6; pp. 927 - 937
Main Authors Bomba, A. Ya, Boichura, M. V.
Format Journal Article
LanguageEnglish
Published New York Springer US 01.11.2021
Springer
Springer Nature B.V
Subjects
Algorithms
Artificial Intelligence
Control
Domains
Electric properties
Identification methods
Image reconstruction
Massifs
Mathematics
Mathematics and Statistics
Methods
Numerical methods
Parameter identification
Processor Architectures
Software Engineering/Programming and Operating Systems
Soil structure
Soils
Systems Theory
quasiconformal mappings
electrical resistivity tomography
numerical methods
identification
inverse problems
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Summary:The 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 to 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.
ISSN:1060-0396
1573-8337
DOI:10.1007/s10559-021-00427-w