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

Dokl. RAN. Math. Inf. Proc. Upr., 2020 Volume 495, Pages 44–47 (Mi danma133)

This article is cited in 3 papers

MATHEMATICS

Stability analysis of artificial ice islands by methods of mathematical modeling

I. B. Petrov, M. V. Muratov, F. I. Sergeev

Moscow Institute of Physics and Technology (National Research University), Dolgoprudny, Moscow Region, Russian Federation

Abstract: The elastic effects on an artificial ice island produced by drill impacts and the pressure of structures located on the island are numerically modeled. The problem is solved numerically by applying the grid-characteristic method with interpolation on structured and unstructured meshes. The grid-characteristic method most accurately describes dynamic processes in exploration seismology problems, since it takes into account the nature of wave phenomena. The approach used makes it possible to construct correct computational algorithms at the boundaries and interfaces of the integration domain. Elastic wave propagation in the considered geological environment is studied, the stress distribution is simulated, and the stability of the ice island to fracture is analyzed using the von Mises criterion.

Keywords: mathematical modeling, grid-characteristic method, ice island, drill impact, static load.

UDC: 519.63

Received: 10.07.2020
Revised: 16.07.2020
Accepted: 15.09.2020

DOI: 10.31857/S2686954320060107


 English version:
Doklady Mathematics, 2020, 102:3, 483–486

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© Steklov Math. Inst. of RAS, 2024