Two approaches to the problem of ray seismic tomography

Approximation of nonlinear geophysical medium as a linear one substantiates a transition to geometrical seismics based on geometric optics. Conditions, necessary and sufficient for application of geometrical optics bring possibility of linearization  the eikonal equation and produce two approaches i...

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Date:2015
Main Author: Tsvetkova, T.A.
Format: Article
Language:Russian
Published: S. Subbotin Institute of Geophysics of the NAS of Ukraine 2015
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Online Access:https://journals.uran.ua/geofizicheskiy/article/view/111330
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Journal Title:Geofizicheskiy Zhurnal

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Geofizicheskiy Zhurnal
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author Tsvetkova, T.A.
author_facet Tsvetkova, T.A.
author_sort Tsvetkova, T.A.
baseUrl_str https://journals.uran.ua/geofizicheskiy/oai
collection OJS
datestamp_date 2020-10-07T11:41:07Z
description Approximation of nonlinear geophysical medium as a linear one substantiates a transition to geometrical seismics based on geometric optics. Conditions, necessary and sufficient for application of geometrical optics bring possibility of linearization  the eikonal equation and produce two approaches in the problems of seismic tomography: a classical Lavrentyev— Romanov linearization  and the Taylor approximation.
doi_str_mv 10.24028/gzh.0203-3100.v37i1.2015.111330
first_indexed 2025-07-17T11:05:49Z
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institution Geofizicheskiy Zhurnal
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publishDate 2015
publisher S. Subbotin Institute of Geophysics of the NAS of Ukraine
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spelling journalsuranua-geofizicheskiy-article-1113302020-10-07T11:41:07Z Two approaches to the problem of ray seismic tomography Tsvetkova, T.A. geotomography nonlinearity geometrical seismics Lavrentyev—Romanov linearization the Taylor approximation Approximation of nonlinear geophysical medium as a linear one substantiates a transition to geometrical seismics based on geometric optics. Conditions, necessary and sufficient for application of geometrical optics bring possibility of linearization  the eikonal equation and produce two approaches in the problems of seismic tomography: a classical Lavrentyev— Romanov linearization  and the Taylor approximation. S. Subbotin Institute of Geophysics of the NAS of Ukraine 2015-02-01 Article Article application/pdf https://journals.uran.ua/geofizicheskiy/article/view/111330 10.24028/gzh.0203-3100.v37i1.2015.111330 Geofizicheskiy Zhurnal; Vol. 37 No. 1 (2015); 121-133 Геофизический журнал; Том 37 № 1 (2015); 121-133 Геофізичний журнал; Том 37 № 1 (2015); 121-133 2524-1052 0203-3100 ru https://journals.uran.ua/geofizicheskiy/article/view/111330/106326 Copyright (c) 2020 Geofizicheskiy Zhurnal https://creativecommons.org/licenses/by/4.0
spellingShingle geotomography
nonlinearity
geometrical seismics
Lavrentyev—Romanov linearization
the Taylor approximation
Tsvetkova, T.A.
Two approaches to the problem of ray seismic tomography
title Two approaches to the problem of ray seismic tomography
title_full Two approaches to the problem of ray seismic tomography
title_fullStr Two approaches to the problem of ray seismic tomography
title_full_unstemmed Two approaches to the problem of ray seismic tomography
title_short Two approaches to the problem of ray seismic tomography
title_sort two approaches to the problem of ray seismic tomography
topic geotomography
nonlinearity
geometrical seismics
Lavrentyev—Romanov linearization
the Taylor approximation
topic_facet geotomography
nonlinearity
geometrical seismics
Lavrentyev—Romanov linearization
the Taylor approximation
url https://journals.uran.ua/geofizicheskiy/article/view/111330
work_keys_str_mv AT tsvetkovata twoapproachestotheproblemofrayseismictomography