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Recovering of the reservoir conductivity by measurements on the surface using gpr data Full article

Journal Eurasian Journal of Mathematical and Computer Applications
ISSN: 2306-6172 , E-ISSN: 2308-9822
Output data Year: 2023, Volume: 11, Number: 1, Pages: 124-138 Pages count : 15 DOI: 10.32523/2306-6172-2023-11-1-124-138
Tags coefficient inverse problems, Maxwell’s equations, electrodynamic, gradient method, horizontally layered medium.
Authors Shishlenin M.A. 1,2 , Shakhatova A.T. 3 , Mirgalikyzy T 3
Affiliations
1 Russian Acad Sci, Sobolev Inst Math, Siberian Branch, Novosibirsk, Russia
2 Russian Acad Sci, Inst Computat Math & Math Geophys, Siberian Branch, Novosibirsk, Russia
3 LN Gumilyev Eurasian Natl Univ, Astana, Kazakhstan

Funding (1)

1 Sobolev Institute of Mathematics FWNF-2022-0009

Abstract: In this article we consider a mathematical model of interpretation of a geoelectric section based on georadar data. One of the reasons preventing the spread of GPR technologies is the complexity of data interpretation, which requires the involvement of highly qualified specialists. In this regard, the study of the mathematical model and comparison with real georadar data expands the possibilities of interpretation of the georadar. To test the algorithm for solving the inverse problem of determining the electrical conductivity of layered media, data from exploration wells of the Karaganda coal basin field were used. We assume that the medium is horizontally layered and the electromagnetic pa-rameters of the medium depend only the depth. The problem of determining the conductivity is reduced to the problem of minimizing the cost functional by the gra-dient method. The gradient of the functional is calculated through the solution of the adjoint problem, the results of numerical calculations are given.
Cite: Shishlenin M.A. , Shakhatova A.T. , Mirgalikyzy T.
Recovering of the reservoir conductivity by measurements on the surface using gpr data
Eurasian Journal of Mathematical and Computer Applications. 2023. V.11. N1. P.124-138. DOI: 10.32523/2306-6172-2023-11-1-124-138 WOS Scopus РИНЦ OpenAlex
Dates:
Submitted: Mar 7, 2023
Accepted: Mar 23, 2023
Published print: Mar 31, 2023
Published online: Mar 31, 2023
Identifiers:
Web of science: WOS:000971825500007
Scopus: 2-s2.0-85153267141
Elibrary: 61128982
OpenAlex: W4362733476
Citing:
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Scopus 5
OpenAlex 1
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