Combinatoric-Variational Approach to Solving Inverse Problems in Geophysics Within the Framework of the Discrete Potential Theory. Complex Geological Environment
Variational-combinatoric approach is used when solving linear and nonlinear inverse problems of geophysics within the framework of discrete potential. The acquired data about physical fields and their sources are of discrete character. Combinatoric methods of discrete mathematics allow us to organiz...
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| Format: | Article |
| Language: | English |
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Russian Academy of Sciences, The Geophysical Center
2025-03-01
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| Series: | Russian Journal of Earth Sciences |
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| Online Access: | http://doi.org/10.2205/2025ES001000 |
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| _version_ | 1849421190484983808 |
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| author | Stepanova Inna Kolotov Igor |
| author_facet | Stepanova Inna Kolotov Igor |
| author_sort | Stepanova Inna |
| collection | DOAJ |
| description | Variational-combinatoric approach is used when solving linear and nonlinear inverse problems of geophysics within the framework of discrete potential. The acquired data about physical fields and their sources are of discrete character. Combinatoric methods of discrete mathematics allow us to organize some selective choice of the information on the physical field elements. Analytical approximations are built only by means of verified data which can be recognized as useful signal, not as an arbitrary or systematic noise. |
| format | Article |
| id | doaj-art-d47ffb4179054cc3b0bc96192e40b5d7 |
| institution | Kabale University |
| issn | 1681-1208 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | Russian Academy of Sciences, The Geophysical Center |
| record_format | Article |
| series | Russian Journal of Earth Sciences |
| spelling | doaj-art-d47ffb4179054cc3b0bc96192e40b5d72025-08-20T03:31:31ZengRussian Academy of Sciences, The Geophysical CenterRussian Journal of Earth Sciences1681-12082025-03-0125311910.2205/2025ES001000Combinatoric-Variational Approach to Solving Inverse Problems in Geophysics Within the Framework of the Discrete Potential Theory. Complex Geological EnvironmentStepanova Inna0https://orcid.org/0000-0001-6497-3117Kolotov Igor1https://orcid.org/0000-0001-6885-2208Schmidt Institute of Physics of the Earth, Russian Academy of SciencesLomonosov Moscow State UniversityVariational-combinatoric approach is used when solving linear and nonlinear inverse problems of geophysics within the framework of discrete potential. The acquired data about physical fields and their sources are of discrete character. Combinatoric methods of discrete mathematics allow us to organize some selective choice of the information on the physical field elements. Analytical approximations are built only by means of verified data which can be recognized as useful signal, not as an arbitrary or systematic noise.http://doi.org/10.2205/2025ES001000discrete potential combinatoric approach geological structure integral representation |
| spellingShingle | Stepanova Inna Kolotov Igor Combinatoric-Variational Approach to Solving Inverse Problems in Geophysics Within the Framework of the Discrete Potential Theory. Complex Geological Environment Russian Journal of Earth Sciences discrete potential combinatoric approach geological structure integral representation |
| title | Combinatoric-Variational Approach to Solving Inverse Problems in Geophysics Within the Framework of the Discrete Potential Theory. Complex Geological Environment |
| title_full | Combinatoric-Variational Approach to Solving Inverse Problems in Geophysics Within the Framework of the Discrete Potential Theory. Complex Geological Environment |
| title_fullStr | Combinatoric-Variational Approach to Solving Inverse Problems in Geophysics Within the Framework of the Discrete Potential Theory. Complex Geological Environment |
| title_full_unstemmed | Combinatoric-Variational Approach to Solving Inverse Problems in Geophysics Within the Framework of the Discrete Potential Theory. Complex Geological Environment |
| title_short | Combinatoric-Variational Approach to Solving Inverse Problems in Geophysics Within the Framework of the Discrete Potential Theory. Complex Geological Environment |
| title_sort | combinatoric variational approach to solving inverse problems in geophysics within the framework of the discrete potential theory complex geological environment |
| topic | discrete potential combinatoric approach geological structure integral representation |
| url | http://doi.org/10.2205/2025ES001000 |
| work_keys_str_mv | AT stepanovainna combinatoricvariationalapproachtosolvinginverseproblemsingeophysicswithintheframeworkofthediscretepotentialtheorycomplexgeologicalenvironment AT kolotovigor combinatoricvariationalapproachtosolvinginverseproblemsingeophysicswithintheframeworkofthediscretepotentialtheorycomplexgeologicalenvironment |