New Methods in the Problem of Tsunami Forecasting

Authors

  • Evdokimova O.V. Southern Scientific Center of the Russian Academy of Sciences, Rostov-on-Don, Russian Federation
  • Babeshko O.M. Kuban State University, Krasnodar, Russian Federation
  • Mukhin A.S. Kuban State University, Krasnodar, Russian Federation
  • Telyatnikov I.S. Southern Scientific Center of the Russian Academy of Sciences, Rostov-on-Don, Russian Federation
  • Lozovoy V.V. Southern Scientific Center of the Russian Academy of Sciences, Rostov-on-Don, Russian Federation
  • Zaretsky A.G. Kuban State University, Krasnodar, Russian Federation
  • Uafa S.B. Southern Scientific Center of the Russian Academy of Sciences, Rostov-on-Don, Russian Federation

UDC

539.3

EDN

VLMIDP

DOI:

10.31429/vestnik-18-3-33-40

Abstract

Taking into account the scale of the Earth and the size of its crust in the ocean zones, the semi-infinite Kirchhoff plates located on a deformable base were taken as lithospheric plates. The oceanic water layer, taking into account the scale, is described by the shallow water equations. Taking into account the tidal fluctuations on the Earth caused by Lunar attraction, the case of contact of lithospheric plates with the base at negligibly small tangential contact stresses and low-frequency harmonic vertical influences is investigated. The described problem is considered in a four-block structure, in each block of which the corresponding boundary value problems are set. Using the block element method, the study is reduced to the study of a system of functional equations that allow identifying the conditions for the occurrence of a starting earthquake. The consequences of the initial earthquake in this setting on the behavior of the liquid layer are investigated. Thanks to this method, it is theoretically shown that tsunami waves can occur in the zone of the epicenter of an earthquake. Currently, there are expanded opportunities for a more in-depth study of the possibility of predicting a tsunami in connection with the creation of a new universal modeling method based on the fractal properties of packed block elements. This approach complements the modeling of lithospheric plates with materials of complex rheology with new capabilities.

Keywords:

tsunami, block element method, external forms, functional equations, new universal modeling method

Funding information

Отдельные фрагменты работы выполнены в рамках реализации Госзадания на 2021 г. Минобрнауки (проект FZEN-2020-0020), ЮНЦ РАН (проект 00-20-13) № госрег. 01201354241, и при поддержке грантов РФФИ (19-41-230003, 19-41-230004, 19-48-230014).

Authors info

  • Olga V. Evdokimova

    д-р физ.-мат. наук, главный научный сотрудник Южного научного центра РАН

  • Olga M. Babeshko

    д-р физ.-мат. наук, главный научный сотрудник научно-исследовательского центра прогнозирования и предупреждения геоэкологических и техногенных катастроф Кубанского государственного университета

  • Aleksey S. Mukhin

    канд. физ.-мат. наук, старший научный сотрудник Кубанского государственного университета

  • Ilya S. Telyatnikov

    канд. физ.-мат. наук, научный сотрудник лаборатории математики и механики Южного научного центра РАН

  • Viktor V. Lozovoy

    канд. физ.-мат. наук, научный сотрудник Южного научного центра РАН

  • Aleksandr G. Zaretsky

    студент Кубанского государственного университета

  • Samir B. Uafa

    младший научный сотрудник Южного научного центра РАН

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Issue

Vol. 18 (2021) No. 3

Pages

33-40

Section

Mechanics

Dates

Submitted

September 19, 2021

Accepted

September 20, 2021

Published

September 30, 2021

How to Cite

[1]
Evdokimova, O.V., Babeshko, O.M., Mukhin, A.S., Telyatnikov, I.S., Lozovoy, V.V., Zaretsky, A.G., Uafa, S.B., New Methods in the Problem of Tsunami Forecasting. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2021, т. 18, № 3, pp. 33–40. DOI: 10.31429/vestnik-18-3-33-40

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Copyright (c) 2021 Евдокимова О.В., Бабешко О.М., Мухин А.С., Телятников И.С., Лозовой В.В., Зарецкий А.Г., Уафа С.Б.

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