About New approaches to the Problem of Landslide Prediction

Authors

  • Babeshko V.A. Southern Scientific Center of the Russian Academy of Sciences, Rostov-on-Don, Russian Federation
  • Evdokimova O.V. Kuban State University, Krasnodar, Russian Federation
  • Babeshko O.M. Kuban State University, Krasnodar, Russian Federation
  • Zaretskaya M.V. Kuban State University, Krasnodar, Russian Federation
  • Snetkov D.A. Kuban State University, Krasnodar, Russian Federation
  • Khripkov D.A. Kuban State University, Krasnodar, Russian Federation
  • Evdokimov V.S. Southern Scientific Center of the Russian Academy of Sciences, Rostov-on-Don, Russian Federation

UDC

539.3

DOI:

https://doi.org/10.31429/vestnik-18-3-15-22

Abstract

The complexity of predicting landslide phenomena is associated with a large complex of physical, mechanical, hydro-mechanical, rheological, plastic phenomena that are closely intertwined with the geometric parameters of the terrain and landscapes of territories. It is this circumstance that does not allow, except for certain special cases, to build a strictly justified mathematical theory and model of these processes. The creation of a theory and models of these phenomena will allow both to obtain sufficiently reliable data on the processes occurring in the zone dangerous for landslides, and to evaluate the steps that allow to regularly initiate landslide phenomena or to prevent them.

Keywords:

landslides, block element method, pre-landslide environment, sarcophagus, cracks in the coating, new universal modeling method

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 (проекты 19-41-230003, 19-41-230004, 19-48-230014, 18-05-80008).

Author Infos

Vladimir A. Babeshko

академик РАН, д-р физ.-мат. наук, заведующий кафедрой математического моделирования Кубанского государственного университета, руководитель научных направлений математики и механики Южного научного центра РАН

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

Marina V. Zaretskaya

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

e-mail: zarmv@mail.ru

Dmitry A. Snetkov

магистрант Кубанского государственного университета

e-mail: dimons3s@yandex.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

References

  1. Brekhovskikh, L.M. Volny v sloistykh sredakh [Waves in layered media]. Nauka, Moscow, 1973. (In Russian)
  2. Babich, V.M. O korotkovolnovoy asimptotike funktsii Grina dlya uravneniya Gel'mgol'tsa [On the short-wave asymptotics of the Green function for the Helmholtz equation]. Matematicheskiy sbornik [Mathematical Collection], 1964, vol. 65, pp. 577–630. (In Russian)
  3. Babich, V.M., Buldyrev, V.S. Asimptoticheskie metody v probleme difraktsii korotkikh voln [Asymptotic methods in the problem of short wave diffraction]. Nauka, Moscow, 1972. (In Russian)
  4. Mukhina, I.V. Priblizhennoe svedenie k uravneniyam Gel'mgol'tsa uravneniy teorii uprugosti i elektrodinamiki dlya neodnorodnykh sred [Approximate reduction to the Helmholtz equations of the equations of the theory of elasticity and electrodynamics for inhomogeneous media]. Prikladnaya matematika i mekhanika [Applied Mathematics and Mechanics], 1972, vol. 36, pp. 667–671. (In Russian)
  5. Molotkov, L.A. Issledovanie rasprostraneniya voln v poristykh i treshchinovatykh sredakh na osnove effektivnykh modeley Bio i sloistykh sred [Investigation of wave propagation in porous and fractured media based on effective models of Bio and layered media]. Nauka, Sankt-Peterburg, 2001. (In Russian)
  6. Novatskiy, V. Teoriya uprugosti [Theory of elasticity]. Mir, Moscow, 1975. (In Russian)
  7. Novatskiy, V. Elektromagnitnye effekty v tverdykh telakh [Electromagnetic effects in solids]. Mir, Moscow, 1986. (In Russian)
  8. Tkacheva, L.A. Kolebaniya plavayushchey uprugoy plastiny, pri periodicheskikh smeshcheniyakh uchastka dna [Vibrations of a floating elastic plate, with periodic displacements of the bottom section]. Prikladnaya mekhanika i tekhnicheskaya fizika [Applied mechanics and technical physics], 2005, vol. 46, no. 5 (273), pp. 166–179. (In Russian)
  9. Tkacheva, L.A. Ploskaya zadacha o kolebaniyakh plavayushchey uprugoy plastiny pod deystviem periodicheskoy vneshney nagruzki [A plane problem of vibrations of a floating elastic plate under the action of a periodic external load]. Prikladnaya mekhanika i tekhnicheskaya fizika [Applied mechanics and technical physics], 2004, vol. 45, no. 5 (273), pp. 136–145. (In Russian)
  10. Tkacheva, L.A. Povedenie plavayushchey plastiny pri kolebaniyakh uchastka dna [Behavior of a floating plate during fluctuations of the bottom section]. Prikladnaya mekhanika i tekhnicheskaya fizika [Applied mechanics and technical physics], 2005, vol. 46, no. 2 (270), pp. 98–108. (In Russian)
  11. Tkacheva, L.A. Vzaimodeystvie poverkhnostnykh i izgibno-gravitatsionnykh voln v ledyanom pokrove s vertikal'noy stenkoy [Interaction of surface and bending-gravitational waves in an ice cover with a vertical wall]. Prikladnaya mekhanika i tekhnicheskaya fizika [Applied mechanics and technical physics], 2013, vol. 54, no. 4 (320), pp. 158–170. (In Russian)
  12. Babeshko V.A., Evdokimova O.V., Babeshko O.M., Khripkov D.A., Bushueva O.A., Evdokimov V.S., Telyatnikov I.S., Uafa S.B. O roli defektov pokrytiya v vide treshchin na predmet razrusheniya predopolznevoy struktury [On the role of coating defects in the form of cracks for the destruction of the pre-landslide structure]. Ekologicheskiy vestnik nauchnykh tsentrov Chernomorskogo ekonomicheskogo sotrudnichestva [Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation], 2021, vol. 18, no. 1, pp. 23–31. DOI: 10.31429/vestnik-18-1-23-31 (In Russian)
  13. Babeshko, V.A., Evdokimova, O.V., Babeshko, O.M. Ob odnom metode resheniya granichnykh zadach dinamicheskoy teorii uprugosti v chetvert'ploskosti [On a method for solving boundary value problems of the dynamic theory of elasticity in a quarter plane]. Prikladnaya matematika i mekhanika [Applied Mathematics and Mechanics], 2021, vol. 85, no. 3, pp. 275–282. DOI: 10.31857/S0032823521030024 (In Russian)
  14. Babeshko, V.A., Evdokimova, O.V., Babeshko, O.M. Blochnye elementy v granichnykh zadachakh dlya sistem differentsial'nykh uravneniy mekhaniki i fiziki v neklassicheskikh oblastyakh [Block elements in boundary value problems for systems of differential equations of mechanics and physics in non-classical fields] Doklady Akademii nauk [Rep. of the Academy of Sciences], 2021, vol. 498, pp. 33–39. DOI: 10.31857/S2686740021030032 (In Russian)
  15. Babeshko, V.A., Evdokimova, O.V., Babeshko, O.M. Fraktal'nye svoystva blochnykh elementov i novyy universal'nyy metod modelirovaniya [Fractal properties of block elements and a new universal modeling method]. Doklady Akademii nauk [Rep. of the Academy of Sciences], 2021, vol. 499, pp. 30–35. DOI: 10.31857/S2686740021040039 (In Russian)
  16. Babeshko, V.A., Evdokimova, O.V., Babeshko, O.M. Metod blochnogo elementa v razlozhenii resheniy slozhnykh granichnykh zadach mekhaniki [The block element method in the decomposition of solutions to complex boundary value problems of mechanics]. Doklady Akademii nauk [Rep. of the Academy of Sciences], 2020, vol. 495, pp. 34–38. DOI: 10.31857/S2686740020060048 (In Russian)

Issue

Section

Mechanics

Pages

15-22

Submitted

2021-09-19

Published

2021-09-30

How to Cite

Babeshko V.A., Evdokimova O.V., Babeshko O.M., Zaretskaya M.V., Snetkov D.A., Khripkov D.A., Evdokimov V.S. About New approaches to the Problem of Landslide Prediction. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2021, vol. 18, no. 3, pp. 15-22. DOI: https://doi.org/10.31429/vestnik-18-3-15-22 (In Russian)