«Tomographic transformation» of anomalous magnetic field using grid distribution of equivalent sources
The article is devoted to the «tomographic» approach to the interpretation of geopotential fields. A brief excursus into the history of the development of interpretational (pseudo-) tomography is given. General issues concerning the creation of «effective» tomographic models are considered. Transfor...
Published in: | Bulletin of Kamchatka Regional Association «Educational-Scientific Center». Earth Sciences |
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Institute of Volcanology and Seismology FEB RAS
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ftdoajarticles:oai:doaj.org/article:5b2176e13e27472f83e8a8088cbd5c62 2023-05-15T16:50:38+02:00 «Tomographic transformation» of anomalous magnetic field using grid distribution of equivalent sources Долгаль А.С. Новикова П.Н. Осипова Е.Н. Пугин А.В. Рашидов В.А. 2021-03-01T00:00:00Z https://doi.org/10.31431/1816-5524-2021-1-49-10-23 https://doaj.org/article/5b2176e13e27472f83e8a8088cbd5c62 RU rus Institute of Volcanology and Seismology FEB RAS http://www.kscnet.ru/journal/kraesc/article/view/648 https://doaj.org/toc/1816-5524 https://doaj.org/toc/1816-5532 1816-5524 1816-5532 doi:10.31431/1816-5524-2021-1-49-10-23 https://doaj.org/article/5b2176e13e27472f83e8a8088cbd5c62 Вестник Камчатской региональной ассоциации "Учебно-научный центр". Серия: Науки о Земле, Vol 49, Iss 1, Pp 10-23 (2021) interpretation tomography effective model equivalent source approximation magnetic field Geology QE1-996.5 article 2021 ftdoajarticles https://doi.org/10.31431/1816-5524-2021-1-49-10-23 2022-12-31T06:39:11Z The article is devoted to the «tomographic» approach to the interpretation of geopotential fields. A brief excursus into the history of the development of interpretational (pseudo-) tomography is given. General issues concerning the creation of «effective» tomographic models are considered. Transformations based on the equivalent source technique are proposed as a key part of the tomography. This type of transformations permits the usage of elevation data of magnetic survey as input. When constructing an analytical approximation, usually a system of linear algebraic equations (SLAE) with an approximated right part is solved. Using a model example, some issues concerning the conditionality of SLAE for different depths of equivalent sources are studied. Two iterative methods for the solving of systems, the Seidel method and the quickest gradient descent, are compared. It is shown that the latter method makes it possible to achieve the required accuracy of the field approximation with a smaller number of iterations. The advantage in the calculation speed, when the matrix of coefficients of the transform operator (source function) is sparce, is emphasized. An example of using this approach to interpret magnetic field anomalies above the submarine volcano 3.18 within the Kuril Iceland arc is presented. Article in Journal/Newspaper Iceland Directory of Open Access Journals: DOAJ Articles Bulletin of Kamchatka Regional Association «Educational-Scientific Center». Earth Sciences 1(49) 10 23 |
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Directory of Open Access Journals: DOAJ Articles |
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interpretation tomography effective model equivalent source approximation magnetic field Geology QE1-996.5 |
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interpretation tomography effective model equivalent source approximation magnetic field Geology QE1-996.5 Долгаль А.С. Новикова П.Н. Осипова Е.Н. Пугин А.В. Рашидов В.А. «Tomographic transformation» of anomalous magnetic field using grid distribution of equivalent sources |
topic_facet |
interpretation tomography effective model equivalent source approximation magnetic field Geology QE1-996.5 |
description |
The article is devoted to the «tomographic» approach to the interpretation of geopotential fields. A brief excursus into the history of the development of interpretational (pseudo-) tomography is given. General issues concerning the creation of «effective» tomographic models are considered. Transformations based on the equivalent source technique are proposed as a key part of the tomography. This type of transformations permits the usage of elevation data of magnetic survey as input. When constructing an analytical approximation, usually a system of linear algebraic equations (SLAE) with an approximated right part is solved. Using a model example, some issues concerning the conditionality of SLAE for different depths of equivalent sources are studied. Two iterative methods for the solving of systems, the Seidel method and the quickest gradient descent, are compared. It is shown that the latter method makes it possible to achieve the required accuracy of the field approximation with a smaller number of iterations. The advantage in the calculation speed, when the matrix of coefficients of the transform operator (source function) is sparce, is emphasized. An example of using this approach to interpret magnetic field anomalies above the submarine volcano 3.18 within the Kuril Iceland arc is presented. |
format |
Article in Journal/Newspaper |
author |
Долгаль А.С. Новикова П.Н. Осипова Е.Н. Пугин А.В. Рашидов В.А. |
author_facet |
Долгаль А.С. Новикова П.Н. Осипова Е.Н. Пугин А.В. Рашидов В.А. |
author_sort |
Долгаль А.С. |
title |
«Tomographic transformation» of anomalous magnetic field using grid distribution of equivalent sources |
title_short |
«Tomographic transformation» of anomalous magnetic field using grid distribution of equivalent sources |
title_full |
«Tomographic transformation» of anomalous magnetic field using grid distribution of equivalent sources |
title_fullStr |
«Tomographic transformation» of anomalous magnetic field using grid distribution of equivalent sources |
title_full_unstemmed |
«Tomographic transformation» of anomalous magnetic field using grid distribution of equivalent sources |
title_sort |
«tomographic transformation» of anomalous magnetic field using grid distribution of equivalent sources |
publisher |
Institute of Volcanology and Seismology FEB RAS |
publishDate |
2021 |
url |
https://doi.org/10.31431/1816-5524-2021-1-49-10-23 https://doaj.org/article/5b2176e13e27472f83e8a8088cbd5c62 |
genre |
Iceland |
genre_facet |
Iceland |
op_source |
Вестник Камчатской региональной ассоциации "Учебно-научный центр". Серия: Науки о Земле, Vol 49, Iss 1, Pp 10-23 (2021) |
op_relation |
http://www.kscnet.ru/journal/kraesc/article/view/648 https://doaj.org/toc/1816-5524 https://doaj.org/toc/1816-5532 1816-5524 1816-5532 doi:10.31431/1816-5524-2021-1-49-10-23 https://doaj.org/article/5b2176e13e27472f83e8a8088cbd5c62 |
op_doi |
https://doi.org/10.31431/1816-5524-2021-1-49-10-23 |
container_title |
Bulletin of Kamchatka Regional Association «Educational-Scientific Center». Earth Sciences |
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1(49) |
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10 |
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23 |
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