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JOURNALS // Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia // Archive

Dokl. RAN. Math. Inf. Proc. Upr., 2021 Volume 501, Pages 67–73 (Mi danma224)

This article is cited in 2 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

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.

UDC: 519.63

Received: 29.07.2021
Revised: 06.10.2021
Accepted: 19.10.2021

DOI: 10.31857/S2686954321060138


 English version:
Doklady Mathematics, 2021, 501:3, 374–379

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