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Sibirskii Zhurnal Industrial'noi Matematiki, 2024, Volume 27, Number 1, Pages 108–127
DOI: https://doi.org/10.33048/SIBJIM.2024.27.108
(Mi sjim1276)
 

Migration velocity analysis using a ray method asymptotics of the double square root equation

N. N. Shilova, A. A. Duchkovb

a Novosibirsk State University, Novosibirsk, 630090 Russia
b A. A. Trofimuk Institute of Petroleum Geology and Geophysics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
References:
Abstract: Seismic images of subsurface structures are the most valuable outcome of seismic data processing. The image quality is strongly affected by the accuracy of background velocity model. In this paper, we develop a gradient-descent velocity update algorithm based on our original high-frequency asymptotics of the double square root equation, i. e., a special one-way approximation of the wave equation describing single-scattered wave field only. We propose a loss function consistent with widely adopted imaging condition and derive equations for its gradient computation. We test our method on noise-free synthetic datasets in 2D settings.
Keywords: seismic inverse problem, velocity analysis, double square root equation, ray method, perturbation theory.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FSUS-2022-0019
FWZZ2022-0017
Received: 17.04.2023
Revised: 02.05.2023
Accepted: 07.06.2023
English version:
Journal of Applied and Industrial Mathematics, 2024, Volume 18, Issue 1, Pages 150–166
DOI: https://doi.org/10.1134/S1990478924010137
Document Type: Article
UDC: 532.517.4
Language: Russian
Citation: N. N. Shilov, A. A. Duchkov, “Migration velocity analysis using a ray method asymptotics of the double square root equation”, Sib. Zh. Ind. Mat., 27:1 (2024), 108–127; J. Appl. Industr. Math., 18:1 (2024), 150–166
Citation in format AMSBIB
\Bibitem{ShiDuc24}
\by N.~N.~Shilov, A.~A.~Duchkov
\paper Migration velocity analysis using a ray method asymptotics of the double square root equation
\jour Sib. Zh. Ind. Mat.
\yr 2024
\vol 27
\issue 1
\pages 108--127
\mathnet{http://mi.mathnet.ru/sjim1276}
\crossref{https://doi.org/10.33048/SIBJIM.2024.27.108}
\transl
\jour J. Appl. Industr. Math.
\yr 2024
\vol 18
\issue 1
\pages 150--166
\crossref{https://doi.org/10.1134/S1990478924010137}
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  • https://www.mathnet.ru/eng/sjim/v27/i1/p108
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    Сибирский журнал индустриальной математики
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