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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2021, Volume 501, Pages 67–73
DOI: https://doi.org/10.31857/S2686954321060138
(Mi danma224)
 

This article is cited in 3 scientific papers (total in 3 papers)

MATHEMATICS

Hybrid grid-characteristic schemes for arctic seismic problems

I. B. Petrov, V. I. Golubev, E. K. Guseva

Moscow Institute of Physics and Technology (National Research University), Dolgoprudnyi, Moscow oblast, Russia
References:
Abstract: The process of conducting seismic exploration of gas fields with a source and receivers installed on the surface of an ice island is considered. A model that includes an ice formation, water area, multilayer geological massif, and a methane reservoir is built. The dynamic behavior of individual media is described using the theory of linear elasticity, acoustic equations, Maxwell’s viscoelastic model, and Kukudzhanov’s viscoelastoplastic model. The governing system of equations is solved numerically by applying the grid-characteristic method on rectangular meshes. Physical contact conditions between the media are set explicitly. A new hybrid scheme of higher order accuracy is constructed using a grid-characteristic monotonicity criterion. The scheme is used to obtain a full-wave solution of a two-dimensional seismic problem.
Keywords: direct seismic survey problem, artificial ice island, mathematical simulation, grid-characteristic method, monotonicity criterion, hybrid scheme.
Funding agency Grant number
Russian Science Foundation 19-11-00023
Study is executed due to grant of the Russian Science Foundation, project no. 19-11-00023).
Received: 29.07.2021
Revised: 06.10.2021
Accepted: 19.10.2021
English version:
Doklady Mathematics, 2021, Volume 501, Issue 3, Pages 374–379
DOI: https://doi.org/10.1134/S1064562421060132
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: I. B. Petrov, V. I. Golubev, E. K. Guseva, “Hybrid grid-characteristic schemes for arctic seismic problems”, Dokl. RAN. Math. Inf. Proc. Upr., 501 (2021), 67–73; Dokl. Math., 501:3 (2021), 374–379
Citation in format AMSBIB
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\paper Hybrid grid-characteristic schemes for arctic seismic problems
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\transl
\jour Dokl. Math.
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  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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