Models of lithospheric structures with faults subject to periodic impacts, and the possibility of using GIS for monitoring the seismic situation

Authors

UDC

528.91:539.3

DOI:

https://doi.org/10.31429/vestnik-20-4-25-36

Abstract

Theoretical studies of the increase in seismicity within the framework of the mechanical-mathematical approach allow us to obtain a general understanding of the real geophysical processes that manifest themselves during the development of such catastrophic phenomena as earthquakes. However, by studying the parameters of model oscillatory systems, a significant amount of useful information can be obtained, which will then help to correctly interpret the results of field observations. In this paper, we present an approach to solving the integral equation of the problem for a deformable stamp of finite width on an elastic foundation, modeling the lithospheric structure. This approach made it possible to identify the presence of resonant regimes and stress concentrations capable of initiating rearrangements of rocks(in geological structures). Subsequent analysis of the modeling results in comparison with data from field observations and geophysical studies will allow us to assess the possibilities of using the obtained results to solve problems of the seismic situation assessment, in particular, the vulnerable zones identification. For this purpose, we examined the possibilities of using the digital relief model of the Krasnodar Territory developed at KubSU to solve problems of the seismic situation monitoring. Subsequent analysis of the geological structures in the region will allow us to assess the possibilities of using the results obtained to solve geophysical problems, mapping potential sources of stress concentration for the purpose of the targeted placement of means for the seismic situation monitoring, setting up experimental work, etc. Comprehensive theoretical studies for the mechanisms of development of seismic phenomena in conjunction with representation technologies and processing of geospatial data will allow for the construction of physical and geological models as well as the organization of a regional monitoring network.

Keywords:

deformable stamp, integral equation, fictitious absorption method, seismic monitoring, GIS, digital elevation model

Acknowledgement

Some fragments of the work were carried out with the financial support of the Kuban Scientific Research Institute fund within the framework of scientific project No.~MFI-20.1/6.

Author Infos

Elena M. Gorshkova

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

e-mail: gem@kubsu.ru

Ilya S. Telyatnikov

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

e-mail: ilux_t@list.ru

Alla V. Pavlova

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

e-mail: pavlova@math.kubsu.ru

References

  1. Лаверов, Н.П. (ред.), Изменение окружающей среды и климата. Т. 1: Сейсмические процессы и катастрофы. Москва, ИФЗ РАН, 2008. [Laverov, N.P. (ed.), Izmenenie okruzhayushchey sredy i klimata. T. 1: Seysmicheskie protsessy i katastrofy = Environmental and climate change. Vol. 1: Seismic processes and disasters. Moscow, IPE RAS, 2008. (in Russian)]
  2. Любимова, Т.В., Бондаренко, Н.А., Стогний, В.В., Погорелов, А.В., Новые методы инженерно-геологического районирования территории Краснодарского края и республики Адыгея. Научный журнал КубГАУ, 2017, № 132(08). [Lyubimova, T.V., Bondarenko, N.A., Stogniy, V.V., Pogorelov, A.V., New methods of engineering-geological zoning of the territory of the Krasnodar Territory and the Republic of Adygea. Nauchnyy zhurnal KubGAU = Scientific journal of Kuban State Agrarian University, 2017, no. 132(08). (in Russian)]
  3. Собисевич, Л.Е., Собисевич, А.Л., Фатьянов, А.Г., Длиннопериодные сейсмогравитационные процессы в литосфере. Москва, ИФЗ РАН, 2020. [Sobisevich, L.E., Sobisevich, A.L., Fatyanov, A.G., Dlinnoperiodnye seysmogravitatsionnye protsessy v litosfere = Long-period seismogravitational processes in the lithosphere. Moscow, IFZ RAN, 2020. (in Russian)]
  4. Гладской, И.Б., Павлова, А.В., Телятников, И.С., Использование ГИС-технологий и цифровой модели рельефа для исследования процессов в геологических структурах региона. Экологический вестник научных центров Черноморского экономического сотрудничества, 2020, т. 17, № 2, с. 29–35. [Gladskoy, I.B., Pavlova, A.V., Telyatnikov, I.S., Using GIS technologies and digital elevation models to study processes in the geological structures of the region. Ekologicheskiy vestnik nauchnykh tsentrov Chernomorskogo ekonomicheskogo sotrudnichestva = Ecological Bulletin of Scientific Centers of the Black Sea Economic Cooperation, 2020, vol. 17, no. 2, pp. 29–35. (in Russian)} EDN: QTBAZP DOI: 10.31429/vestnik-17-2-29-35
  5. Бабешко, В.А., Евдокимова, О.В., Бабешко, О.М., О контактных задачах с деформируемым штампом. Проблемы прочности и пластичности, 2022, т. 84, № 1, с. 25–34. [Babeshko, V.A., Evdokimova, O.V., Babeshko, O.M., On contact problems with a deformable die. Problemy prochnosti i plastichnosti = Problems of strength and plasticity, 2022, vol. 84, No. 1, pp. 25–34. (in Russian)] DOI: 10.32326/1814-9146-2022-84-1-25-34
  6. Евдокимова, О.В., Бабешко, В.А., Павлова, А.В., Евдокимов, В.С., Бабешко, О.М., Об одном новом предвестнике повышенной сейсмичности. Геология и геофизика Юга России, 2022, т. 12, № 4, с. 47–58. [Evdokimova, O.V., Babeshko, V.A., Pavlova, A.V., Evdokimov, V.S., Babeshko, O.M., About one new precursor of increased seismicity. Geologiya I Geofizika Yuga Rossii = Geology and geophysics of the South of Russia, 2022, vol. 12, no. 4, pp. 47–58. (in Russian)] DOI: 10.46698/VNC.2022.80.98.004
  7. Babeshko, V.A., Evdokimova, O.V., Babeshko, O.M., Fractal properties of block elements and a new universal modeling method. Doklady Physics, 2021, vol. 66, no. 8, pp. 218–222. DOI: 10.1134/S1028335821080012
  8. Ворович, И.И., Бабешко, В.А., Динамические смешанные задачи теории упругости для неклассических областей. Москва, Наука, 1979. [Vorovich, I.I., Babeshko, V.A., Dinamicheskie smeshannye zadachi teorii uprugosti dlya neklassicheskikh oblastey = Dynamic mixed problems of the theory of elasticity for non-classical domains. Moscow, Nauka, 1979. (in Russian)]
  9. Бабешко, В.А., Обобщенный метод факторизации в пространственных динамических смешанных задачах теории упругости. Москва, Наука, 1984. [Babeshko, V.A., Obobshchennyy metod faktorizatsii v prostranstvennykh dinamicheskikh smeshannykh zadachakh teorii uprugosti = Generalized factorization method in spatial dynamic mixed problems of elasticity theory. Moscow, Nauka, 1984. (in Russian)]
  10. Гохберг, И.Ц., Крейн, М.Г., Теория вольтерровых операторов в гильбертовом пространстве и ее приложения. Москва, Наука, 1967. [Gokhberg, I.Ts., Kerin, M.G., Teoriya vol'terrovykh operatorov v gil'bertovom prostranstve i ee prilozheniya = Theory of Volterra operators in Hilbert space and its applications. Moscow, Nauka, 1967. (in Russian)]
  11. Абрамовиц, М., Стиган, И. (ред.), Справочник по специальным функциям с формулами, графиками и математическими таблицами. Москва, Наука, 1979. [Abramowitz, M., Stigan, I. (eds.), Spravochnik po spetsial'nym funktsiyam s formulami, grafikami i matematicheskimi tablitsami = Handbook of Special Functions with Formulas, Graphs and Mathematical Tables. Moscow, Nauka, 1979. (in Russian)]
  12. Clarke, K.C., Brad, O.P., Crane, M.P., Geographic Information Systems and Environmental Modeling. London, Pearson, 2001.
  13. Keller, R., Baru, Ch., Geoinformatics: Cyberinfrastructure for the Solid Earth Sciences. Cambridge, University Press, 2011.
  14. Панин, А.В., Гельман, Р.Н., Опыт применения GPS-технологии для построения крупномасштабных цифровых моделей рельефа. Геодезия и картография, 1997, № 10, с. 22–27. [Panin, A.V., Gelman, R.N., Experience in using GPS technology for constructing large-scale digital terrain models. Geodeziya i kartografiya = Geodesy and cartography, 1997, no. 10, pp. 22–27. (in Russian)]
  15. Долгова, М.П., Методика обоснования модели рельефа для решения прикладных задач. Информация и космос, 2010, № 2, с. 39–49. [Dolgova, M.P., Methodology for substantiating a relief model for solving applied problems. Informatsiya i kosmos = Information and space, 2010, no. 2, pp. 39–49. (in Russian)]
  16. Чесалов, Л.Е., Единая информационная среда для интеграции информационных ресурсов при решении задач природопользования. Геоинформатика, 2003, № 2, с. 11–14. [Chesalov, L.E., Unified information environment for integrating information resources when solving environmental management problems. Geoinformatika = Geoinformatics, 2003, no. 2, pp. 11–14. (in Russian)]
  17. Митракова, О.В., Создание информационно-аналитических систем для обеспечения рационального природопользования и устойчивого развития регионов. Геоинформатика, 2003, № 2, с. 15–18. [Mitrakova, O.V., Creation of information and analytical systems to ensure rational environmental management and sustainable development of regions. Geoinformatika = Geoinformatics, 2003, no. 2, pp. 15–18. (in Russian)]
  18. Жебровский, С.И., Кузин, Д.А., Стрельцова, М.М., Обзор проблем и перспектив развития геоинформационных систем в эпоху всеобъемлющего интернета. Современные наукоемкие технологии, 2018, № 12-1, с. 237–241. [Zhebrovsky, S.I., Kuzin, D.A., Streltsova, M.M., Review of problems and prospects for the development of geographic information systems in the era of the comprehensive Internet. Sovremennye naukoemkie tekhnologii = Modern science-intensive technologies, 2018, no. 12-1, pp. 237–241. (in Russian)]
  19. Любимова, Т.В., Бондаренко, Н.А., Погорелов, А.В., Интегральная оценка сложности инженерно-геологических условий территории краснодарского края. Научный журнал КубГАУ, 2016, № 121(07). [Lyubimova, T.V., Bondarenko, N.A., Pogorelov, A.V., Integral assessment of the complexity of engineering-geological conditions of the territory of the Krasnodar region. Nauchnyy zhurnal KubGAU = Scientific journal of Kuban State Agrarian University, 2016, no. 121(07). (in Russian)]

Issue

Section

Mechanics

Pages

25-36

Submitted

2024-01-09

Published

2023-12-31

How to Cite

Gorshkova E.M., Telyatnikov I.S., Pavlova A.V. Models of lithospheric structures with faults subject to periodic impacts, and the possibility of using GIS for monitoring the seismic situation. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2023, vol. 20, no. 4, pp. 25-36. DOI: https://doi.org/10.31429/vestnik-20-4-25-36 (In Russian)