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Sibirskii Zhurnal Industrial'noi Matematiki, 2021, Volume 24, Number 4, Pages 5–24
DOI: https://doi.org/10.33048/SIBJIM.2021.24.401
(Mi sjim1148)
 

This article is cited in 2 scientific papers (total in 2 papers)

On the determination of the velocity and elastic parameters of the focal zone medium from the earthquake hodographs

Yu. E. Anikonov, V. V. Bogdanov, Yu. S. Volkov, E. Yu. Derevtsov

Sobolev Institute of Mathematics SB RAS, pr. Acad. Koptyuga 4, Novosibirsk 630090, Russia
References:
Abstract: We consider an inverse kinematic problem of seismic (IKPS) with internal sources. It consists in determining the velocities of longitudinal and transverse waves by the travel times from earthquake sources, occurring in the focal zone, to a group of seismic stations. We propose an algorithm for the numerical solution to the problem, based on the eikonal equation and the technology of smoothing multidimensional splines, which give an approximation of the velocity structure of the focal zone. The paper presents theoretical results that substantiate the algorithm for solving the problem by approximation methods by smoothing with multidimensional splines from data on irregular grids. We describe the results of the numerical solution to the problem, the calculations with real data on earthquakes in the focal zone, and give the estimates of the velocity and elastic parameters of the medium.
Keywords: kinematic problem of seismic, internal sources, inverse problems, eikonal equation, interpolation, approximation, splines. .
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 0314-2019-0011
0314-2019-0013
Russian Foundation for Basic Research 19-51-12008
Received: 25.05.2021
Revised: 09.07.2021
Accepted: 21.10.2021
Document Type: Article
UDC: 517.98:519.677
Language: Russian
Citation: Yu. E. Anikonov, V. V. Bogdanov, Yu. S. Volkov, E. Yu. Derevtsov, “On the determination of the velocity and elastic parameters of the focal zone medium from the earthquake hodographs”, Sib. Zh. Ind. Mat., 24:4 (2021), 5–24
Citation in format AMSBIB
\Bibitem{AniBogVol21}
\by Yu.~E.~Anikonov, V.~V.~Bogdanov, Yu.~S.~Volkov, E.~Yu.~Derevtsov
\paper On the determination of the velocity and elastic parameters of the focal zone medium from the earthquake hodographs
\jour Sib. Zh. Ind. Mat.
\yr 2021
\vol 24
\issue 4
\pages 5--24
\mathnet{http://mi.mathnet.ru/sjim1148}
\crossref{https://doi.org/10.33048/SIBJIM.2021.24.401}
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  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Сибирский журнал индустриальной математики
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