Approximation of the relief and calculation of top-corrections in the framework of the method of linear integral representations
Linear problems of gravimetry and magnitometry were considered so far either as problems of finding solutions of linear integral equations or as problems of finding integral operators values. But in this case infinite-dimensional constructions appear, which are practically unimplemented. Problem sta...
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| Дата: | 2011 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | Російська |
| Опубліковано: |
S. Subbotin Institute of Geophysics of the NAS of Ukraine
2011
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| Онлайн доступ: | https://journals.uran.ua/geofizicheskiy/article/view/116935 |
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| Назва журналу: | Geofizicheskiy Zhurnal |
Репозитарії
Geofizicheskiy Zhurnal| _version_ | 1856543317194440704 |
|---|---|
| author | Stepanova, I.E. |
| author_facet | Stepanova, I.E. |
| author_sort | Stepanova, I.E. |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2020-10-07T11:01:56Z |
| description | Linear problems of gravimetry and magnitometry were considered so far either as problems of finding solutions of linear integral equations or as problems of finding integral operators values. But in this case infinite-dimensional constructions appear, which are practically unimplemented. Problem statements adequate to real geophysical practice appear within the boundaries of linear integral concepts method which general methodology and constructive bases were elaborated by V. N. Strakhov. In this method finiteness and proximity of available information on the studied potential fields (gravity, magnetic, thermal et al.) and on lay of land are taken into account initially. Analytical approximations of the relief allow to produce digital models of the locality and to calculate with their help topographic corrections. |
| first_indexed | 2025-07-17T11:08:21Z |
| format | Article |
| id | journalsuranua-geofizicheskiy-article-116935 |
| institution | Geofizicheskiy Zhurnal |
| language | Russian |
| last_indexed | 2025-07-17T11:08:21Z |
| publishDate | 2011 |
| publisher | S. Subbotin Institute of Geophysics of the NAS of Ukraine |
| record_format | ojs |
| spelling | journalsuranua-geofizicheskiy-article-1169352020-10-07T11:01:56Z Approximation of the relief and calculation of top-corrections in the framework of the method of linear integral representations Stepanova, I.E. Linear problems of gravimetry and magnitometry were considered so far either as problems of finding solutions of linear integral equations or as problems of finding integral operators values. But in this case infinite-dimensional constructions appear, which are practically unimplemented. Problem statements adequate to real geophysical practice appear within the boundaries of linear integral concepts method which general methodology and constructive bases were elaborated by V. N. Strakhov. In this method finiteness and proximity of available information on the studied potential fields (gravity, magnetic, thermal et al.) and on lay of land are taken into account initially. Analytical approximations of the relief allow to produce digital models of the locality and to calculate with their help topographic corrections. S. Subbotin Institute of Geophysics of the NAS of Ukraine 2011-06-01 Article Article application/pdf https://journals.uran.ua/geofizicheskiy/article/view/116935 10.24028/gzh.0203-3100.v33i3.2011.116935 Geofizicheskiy Zhurnal; Vol. 33 No. 3 (2011); 128-139 Геофизический журнал; Том 33 № 3 (2011); 128-139 Геофізичний журнал; Том 33 № 3 (2011); 128-139 2524-1052 0203-3100 ru https://journals.uran.ua/geofizicheskiy/article/view/116935/110993 Copyright (c) 2020 Geofizicheskiy Zhurnal https://creativecommons.org/licenses/by/4.0 |
| spellingShingle | Stepanova, I.E. Approximation of the relief and calculation of top-corrections in the framework of the method of linear integral representations |
| title | Approximation of the relief and calculation of top-corrections in the framework of the method of linear integral representations |
| title_full | Approximation of the relief and calculation of top-corrections in the framework of the method of linear integral representations |
| title_fullStr | Approximation of the relief and calculation of top-corrections in the framework of the method of linear integral representations |
| title_full_unstemmed | Approximation of the relief and calculation of top-corrections in the framework of the method of linear integral representations |
| title_short | Approximation of the relief and calculation of top-corrections in the framework of the method of linear integral representations |
| title_sort | approximation of the relief and calculation of top-corrections in the framework of the method of linear integral representations |
| url | https://journals.uran.ua/geofizicheskiy/article/view/116935 |
| work_keys_str_mv | AT stepanovaie approximationofthereliefandcalculationoftopcorrectionsintheframeworkofthemethodoflinearintegralrepresentations |