On blocks of various types in problems of geoecology

Authors

  • Zaretskaya M.V. Kuban State University, Krasnodar, 350040, Российская Федерация
  • Babeshko O.M. Kuban State University, Krasnodar, Российская Федерация
  • Zaretskiy A.G. Kuban State University, Krasnodar, Российская Федерация
  • Lozovoy V.V. Southern Scientific Center, Russian Academy of Science, Rostov-on-Don, Российская Федерация

UDC

539.422.3

Abstract

Developers should consider the model of the environment as close to natural as possible, apply a mathematical apparatus that adequately and reliably describes the processes and phenomena occurring in the environment under study, while constructing mathematical models of modern geophysical environment monitoring systems, environmental quality management and environmental management. In this paper, we proposed a method based on a topological approach that allows one to set and solve boundary problems on the basis of equations of motion for media characterized by essentially different mechanical, chemical, rheological characteristics in different coordinate systems. An algorithm of the differential factorization method for investigating processes in a block-structured medium has been developed, the individual blocks of which are formed by spherical boundaries (in spherical coordinates) and cylindrical boundaries (in cylindrical coordinates). The developed methods make it possible to study a wide class of convective currents that arise in the atmosphere (modeling tornadoes), seas and oceans (cyclonic currents of various scales), geophysics; promptly assess the level of technogenic seismicity, which will reduce the seismogenic impact of modern industrial production and minimize the level of induced seismicity.

Keywords:

medium, complex internal structure, topological approach, cylindrical block element, ball block element

Acknowledgement

Работа выполнена при поддержке РФФИ (16-08-00191_а), РФФИ и администрации Краснодарского края (16-41-230154, 16-41-230184).

Author Infos

Marina V. Zaretskaya

д-р физ.-мат. наук, профессор кафедры математического моделирования Кубанского государственного университета

e-mail: zarmv@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

Aleksandr G. Zaretskiy

студент Кубанского государственного университета

e-mail: sam_one@mail.ru

Viktor V. Lozovoy

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

e-mail: niva_kgu@mail.ru

References

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  3. Babeshko V.A., Evdokimova O.V., Babeshko O.M. Ob osobennostyah metoda blochnogo ehlementa v nestacionarnyh zadachah [On the features of the block element method in nonstationary problems]. Doklady Akademii nauk [Rep. of the Academy of Sciences], 2011, vol. 438, no. 4, pp. 470-474. (In Russian)
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  8. Babeshko V.A., Evdokimova O.V., Babeshko O.M. Blochnye ehlementy s cilindricheskoj granicej v makro- i nanostrukturah [Block elements with a cylindrical boundary in macro- and nanostructures]. Doklady akademii nauk [Rep. of the Academy of Sciences], 2011, vol. 440, no. 6, pp. 756-759. (In Russian)
  9. Babeshko V.A., Evdokimova O.V., Babeshko O.M. The theory of the starting earthquake. Jekologicheskij vestnik nauchnyh centrov Chernomorskogo jekonomicheskogo sotrudnichestva [Ecological bulletin of scientific centers of the Black Sea Economic Cooperation], 2016, no. 1, iss. 2, pp. 37-80. (In Russian)

Downloads

Issue

2017. No. 2

Pages

36-41

Submitted

2017-05-22

Published

2017-06-30

How to Cite

Zaretskaya M.V., Babeshko O.M., Zaretskiy A.G., Lozovoy V.V. On blocks of various types in problems of geoecology. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2017, no. 2, pp. 36-41. (In Russian)

Copyright (c) 2017 Zaretskaya M.V., Babeshko O.M., Zaretskiy A.G., Lozovoy V.V.

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