Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)

For citation:

Babeshko V. A., Evdokimova O. V., Babeshko O. M., Uafa G. N., Evdokimov V. S. Starting Earthquakes with the Parallel Faults of Lithospheric Plates. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2018, vol. 18, iss. 4, pp. 370-380. DOI: 10.18500/1816-9791-2018-18-4-370-380, EDN: YSUCUX

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online: 
30.11.2018
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Language: 
Russian
Heading: 
Mechanics
Article type: 
Article
UDC: 
501.1
DOI: 
10.18500/1816-9791-2018-18-4-370-380
EDN: 
YSUCUX

Starting Earthquakes with the Parallel Faults of Lithospheric Plates

Autors: 
Babeshko Vladimir A., Kuban State University
Evdokimova Olga V., Southern Scientific Center of the Russian Academy of Sciences
Babeshko Olga M., Kuban State University
Uafa Galina N., Kuban State University
Evdokimov Vladimir S., Kuban State University
Abstract: 

The analysis of the models characterizing the preparation of starting earthquakes for different types of stresses on tectonic plates enabled to convey the analysis of a possibility of earthquakes for the case of the parallelfaults ,which simultaneously allows to figure ways of the irprediction, i.e.permits to reduce earth quake risk. The investigation of the arisen block structure applied the topological approach. The boundary problem imbeds into the topological structure and transforms in the functional equations. Automorphism application leads to the pseudodifferential equations, that are analyzed. It was proved that the starting earthquake can still take place in this case and the relevant conditions are derived.

Key words: 
block element
factorization
topology
integral and differential factorization methods
exterior forms
block structures
boundary problems
singular peculiarity
References: 
  1. Pevnev A. K. Puti k prakticheskomu prognozu zemletriasenii [Ways to practical earth-quake prediction]. Moscow, GEOS Publ., 2003. 154 p. (in Russian).
  2. Reid N. F. The mechanism of the earthquake. The California earthquake of April 18, 1906. Rep. of the State Investigation Commiss., vol. 2, pt. 1. Washington, 1910. 56 p.
  3. Golitsyn B. B. Izbrannye trudy [Selected works], vol. 2, Moscow, Izdatel’stvo AN SSSR, 1960. 465 p. (in Russian).
  4. Gutenberg B., фRichter C. Seismicity of the Earth and associated phenomena. Princeton Univ. Press, 1954, 310 p.
  5. Rihter Ch. Elementarnaia seismologiia [Elementary seismology]. Moscow, Izdatel’stvo inostrannoi literatury, 1963. 670 p. (in Russian).
  6. Gamburtsev G. A. Perspektivnyi plan issledovanii po probleme „Izyskanie i razvitie prognoza zemletriasenii“ [Long-term plan of research on the problem „Research and development of earthquake prediction“]. Razvitie idei G. A. Gamburtseva v geofizike [Progress of G. A. Gamburtsev’s ideas in geophysics]. Moscow, Nauka, 1982, pp. 304–311 (in Russian).
  7. Sadovskii M. A., Bolkhovitinov L. G., Pisarenko V. F. Deformirovanie geofizicheskoi sredy i seismicheskii protsess [Deformation of geophysical environment and seismic process]. Moscow, Nauka, 1987. 104 p. (in Russian).
  8. Sobolev G. A. Osnovy prognoza zemletriasenii [Fundamentals of earthquake prediction]. Moscow, Nauka, 1993. 313 p. (in Russian).
  9. Keilis-Borok V. A. Dinamika litosfery i prognoz zemletriasenii [Dynamics of the litho-sphere and earthquake prediction]. Priroda [Nature], 1989, no. 12, pp. 10–18 (in Russian).
  10. Alekseev A. S., Geza N. I., Glinsky B. M., Emanov A. F., Kashun V. N., Kovalevskij V. V., Manshtejn A. K., Mihajlenko B. G., Seleznev V. S., Serdyukov S. V., Sobisevich A. L., Sobisevich L. E., Solov’ev V. M., Hajretdinov M. S., Chichinin I. S., Yushin V. I. Aktivnaia seismologiia s moshchnymi vibratsionnymi istochnikami [Active seismology withpowerful vibrational sources. Collective monograph]. Novosibirsk, Izdatel’stvo SO RAN, 2004. 388 p. (in Russian).
  11. Geller R. J. Earthquake prediction: A critical review. Geophysical Journal International, 1997, vol. 131, iss. 3, pp. 425–450. DOI: https://doi.org/10.1111/j.1365-246X.1997.tb06588.x
  12. Kagan Y. Y. Are earthquake predictable? Geophysical Journal International, 1997, vol. 131, iss. 3, pp. 505–525. DOI: https://doi.org/10.1111/j.1365-246X.1997.tb06595.x
  13. Keer R. A. Earthquake prediction: Mexican quake shows one way to look for the big ones. Science, 1979, vol. 203, iss. 4383, pp. 860–862. DOI: https://doi.org/10.1126/science.203.4383.860
  14. Main I. G., Meredith P. G. Classification of earthquake precursors from a fracture mechanics model. Tectonophysics, 1989, vol. 167, iss. 2–4, pp. 273–283. DOI: https://doi.org/10.1016/0040-1951(89)90078-4
  15. Mogi K. Earthquake and fracture. Tectonophysics, 1967, vol. 5, iss 1, pp. 35–55. DOI: https://doi.org/10.1016/0040-1951(67)90043-1
  16. Scholz C. H., Sykes L. R., Aggarwal Y. P. Earthquake prediction: A physical basis. Science, 1973, vol. 181, iss. 4102, pp. 803–809. DOI: https://doi.org/10.1126/science.181.4102.803
  17. Freed A. M. Earthquake triggering by static, dynamic and postseismic stress transfer. Annual Review of Earth and Planetary Sciences, 2005, vol. 33, pp. 335–367. DOI: https://doi.org/10.1146/annurev.earth.33.092203.122505
  18. Mitchell E., Fialko Y., Brown K. M. Frictional properties of gabbro at conditions corresponding to slow slip events in subduction zones. Geochem. Geophys. Geosyst., 2015, vol. 16, pp. 4006–4020. DOI: https://doi.org/10.1002/2015gc006093
  19. Ide S., Berosa G. S. Does apparent stress vary earthquake? Geophysical Research Letters, 2001, vol. 28, iss. 17, pp. 3349–3352.
  20. Di Toro G., Han R., Hirose T., De Paola N., Nielsen S., Mizoguchi K., Ferri F., Cocco M., Shimamoto T. Fault lubrication during earthquake. Nature, 2011, vol. 471, iss. 7339, pp. 494–498.
  21. Babeshko V. A., Evdokimova O. V., Babeshko O. M. The problem of physical and mechanical precursors of an earthquake: Place, time, and intensity. Doklady Physics, 2016, vol. 61, iss. 2, pp. 92–97. DOI: https://doi.org/10.1134/S1028335816020099
  22. Babeshko V. A., Evdokimova O. V., Babeshko O. M. On the possibility of predicting some types of earthquake by a mechanical approach. Acta Mechanica, 2018, vol. 229, iss. 5, pp. 2163–2175. DOI: https://doi.org/10.1007/s00707-017-2092-0
  23. Babeshko V. A., Evdokimova O. V., Babeshko O. M. A starting earthquake with harmoniceffects. Doklady Physics, 2016, vol. 61, iss. 11, pp. 551–554. DOI: https://doi.org/10.1134/S1028335816110021
  24. Vorovich I. I., Babeshko V. A. Dinamicheskie smeshannye zadachi teorii uprugosti dlianeklassicheskikh oblastei [Dynamic mixed problems of the theory of elasticity for nonclassical domains]. Moscow, Nauka, 1979. 320 p. (in Russian).
  25. Babeshko V. A., Evdokimova O. V., Babeshko O. M. The theory of the starting earthquake. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2016, no. 1, pt. 2, pp. 37–80. DOI: https://doi.org/10.31429/vestnik-13-1-2-37-80
Received: 
15.07.2018
Accepted: 
02.11.2018
Published: 
07.12.2018
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