Bomba A.Y., Boichura M.V.
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 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. © 2021, Springer Science+Business Media, LLC, part of Springer Nature.

Keywords: electrical resistivity tomography, identification, inverse problems, numerical methods, quasiconformal mappings, Image reconstruction, Inverse problems, Mapping, Current function, Domain boundary, Electrical resistivity tomography, Equipotential lines, Flow function, Flow streamlines, Identification, Mapping method, Quasiconformal mapping, Structure of soils, Numerical methods

Cite:
Bomba A.Y., Boichura M.V. (2021). Identifying the structure of soil massifs by numerical quasiconformal mapping methods. Cybernetics and Systems Analysis, 57 (6), 94–105. doi: https://doi.org/10.1007/s10559-021-00427-w http://jnas.nbuv.gov.ua/article/UJRN-0001284192 [In Ukrainian].