Some Mathematical Questions of the Subduction Processes

Authors

  • Babeshko O.M. Kuban State University, Krasnodar, Russian Federation
  • Evdokimova O.V. Southern Scientific Center of the Russian Academy of Sciences, Rostov-on-Don, Russian Federation
  • Pluzhnik A.V. Southern Scientific Center of the Russian Academy of Sciences, Rostov-on-Don, Russian Federation
  • Gorshkova E.M. Kuban State University, Krasnodar, Russian Federation
  • Kovalenko M.M. Southern Scientific Center of the Russian Academy of Sciences, Rostov-on-Don, Russian Federation
  • Bushueva O.A. Kuban State University, Krasnodar, Russian Federation
  • Uafa G.N. Southern Scientific Center of the Russian Academy of Sciences, Rostov-on-Don, Russian Federation

UDC

539.3

DOI:

https://doi.org/10.31429/vestnik-18-3-23-32

Abstract

The problem of the occurrence of initial earthquakes in subduction zones is considered. Subduction is the phenomenon of the movement of the oceanic lithospheric plate under the continental one. Under the conditions of subduction, the lithospheric plates experience certain physical changes. For example, an oceanic lithospheric plate at a certain depth melts from below and can slide. The paper considers the occurrence of initial earthquakes under the assumption that the lithospheric plates have different contact conditions, being on a rigid base in the subduction zone. The melted lithospheric plate has no tangential contact stresses, and the other, oceanic, is rigidly connected to the base. It is known that not all earthquakes that occur in the ocean cause tsunami waves. For example, there were cases when a very strong earthquake in the ocean did not generate tsunami waves. At the same time, a sufficiently weak one can cause a tsunami. In the process of subduction, there are changes in the rheological properties of the lithospheric plates themselves, or the broken fragments of plates in the Benioff zone. The block element method is used to investigate the occurrence of the initial earthquake and the peculiarity of its consequences. Currently, new modeling methods have been developed. Behaviors of solutions of boundary value problems for environments of complex rheologies, which are also applicable in real problems. Examples of the use of these features are discussed in the work.

Keywords:

subduction, tsunami, lithospheric plates, block element method, initial earthquake, new modeling methods

Acknowledgement

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).

Author Infos

Olga M. Babeshko

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

e-mail: babeshko49@mail.ru

Olga V. Evdokimova

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

e-mail: evdokimova.olga@mail.ru

Andrey V. Pluzhnik

Плужник Андрей Валерьевич, младший научный сотрудник Южного научного центра РАН

e-mail: infocenter@kubsu.ru

Elena M. Gorshkova

канд. физ.-мат. наук, старший научный сотрудник Научно-исследовательского центра прогнозирования и предупреждения геоэкологических и техногенных катастроф Кубанского государственного университета

e-mail: gem@kubsu.ru

Maria M. Kovalenko

младший научный сотрудник Южного научного центра РАН

e-mail: akinina_mm@mail.ru

Olga A. Bushueva

студентка магистратуры факультета компьютерных технологий и математики Кубанского государственного университета

e-mail: olyabushuyeva@gmail.com

Galina N. Uafa

инженер-исследователь Южного научного центра РАН

e-mail: uafa70@mail.ru

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Issue

2021. Vol. 18. No. 3

Section

Mechanics

Pages

23-32

Submitted

2021-09-19

Published

2021-09-30

How to Cite

Babeshko O.M., Evdokimova O.V., Pluzhnik A.V., Gorshkova E.M., Kovalenko M.M., Bushueva O.A., Uafa G.N. Some Mathematical Questions of the Subduction Processes. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2021, vol. 18, no. 3, pp. 23-32. DOI: https://doi.org/10.31429/vestnik-18-3-23-32 (In Russian)

Copyright (c) 2021 Babeshko O.M., Evdokimova O.V., Pluzhnik A.V., Gorshkova E.M., Kovalenko M.M., Bushueva O.A., Uafa G.N.

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