About the Pre-Landslide Structure Model in an Acute-Angled Wedge-Shaped Area

Authors

  • Babeshko V.A. Kuban State University, Krasnodar, Российская Федерация
  • Evdokimova O.V. Southern Scientific Center, Russian Academy of Science, Rostov-on-Don, Российская Федерация
  • Babeshko O.M. Kuban State University, Krasnodar, Российская Федерация
  • Khripkov D.A. Kuban State University, Krasnodar, Российская Федерация
  • Evdokimov V.S. Southern Scientific Center, Russian Academy of Science, Rostov-on-Don, Российская Федерация
  • Kovalenko M.M. Southern Scientific Center, Russian Academy of Science, Rostov-on-Don, Российская Федерация

UDC

539.3

DOI:

https://doi.org/10.31429/vestnik-17-2-9-13

Abstract

We consider a cylindrical area whose perpendicular cross-section is an acute wedge with a solution angle less than or equal to a straight one. It is assumed that the area is filled with a water-saturated medium, it can be anisotropic, prone to spreading and causing a landslide. These media can have a viscosity, be viscoelastic and with variable flow characteristics, the most dangerous parameters in cases of pre-landslide formations. In order to cover all possible cases, the limit option is considered, which consists in replacing the described media with the most fluid medium - a liquid. The study is carried out under the assumption of possible dynamic effects of a vibrational nature. Thus, the study was reduced to the study of the Helmholtz equation in the wedge-shaped region. Dirichlet conditions are set on the border. The block element method is used for research, allows you to solve the boundary value problem in a closed form.

Keywords:

block element method, boundary value problem, Helmholtz equation, pseudo-differential equations, wedge-shaped area

Acknowledgement

Отдельные фрагменты работы выполнены в рамках реализации Госзадания Минобрнауки России на 2020~г. (проект FZEN-2020-0022), Южного научного центра РАН на 2020 г. (проект 00-20-13) № госрег. 01201354241, и при поддержке грантов Российского фонда фундаментальных исследований (проекты 19-41-230003, 19-41-230004, 19-48-230014, 18-08-00465, 18-01-00384, 18-05-80008).

Author Infos

Vladimir A. Babeshko

академик РАН, д-р физ.-мат. наук, заведующий кафедрой математического моделирования Кубанского государственного университета, директор Научно"=исследовательского центра прогнозирования и предупреждения геоэкологических и техногенных катастроф Кубанского государственного университета, заведующий лабораторией Южного федерального университета

e-mail: babeshko41@mail.ru

Olga V. Evdokimova

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

e-mail: evdokimova.olga@mail.ru

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

Dmitry A. Khripkov

научный сотрудник Кубанского государственного университета

e-mail: vestnik@fpm.kubsu.ru

Vladimir S. Evdokimov

студент Кубанского государственного университета, лаборант Южного научного центра РАН

e-mail: evdok_vova@mail.ru

Maryia M. Kovalenko

младший научный сотрудник Южного научного центра РАН

e-mail: akinina_mm@mail.ru

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Issue

2020. Vol. 17. No. 2

Section

Mechanics

Pages

9-13

Submitted

2020-05-18

Published

2020-06-27

How to Cite

Babeshko V.A., Evdokimova O.V., Babeshko O.M., Khripkov D.A., Evdokimov V.S., Kovalenko M.M. About the Pre-Landslide Structure Model in an Acute-Angled Wedge-Shaped Area. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2020, vol. 17, no. 2, pp. 9-13. DOI: https://doi.org/10.31429/vestnik-17-2-9-13 (In Russian)

Copyright (c) 2020 Babeshko V.A., Evdokimova O.V., Babeshko O.M., Khripkov D.A., Evdokimov V.S., Kovalenko M.M.

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