The theory of the starting earthquake
[ Теория стартового землетрясения ]

Авторы

  • Babeshko V.A. Южный научный центр РАН, Ростов-на-Дону, Российская Федерация
  • Evdokimova O.V. Южный научный центр РАН, Ростов-на-Дону, Российская Федерация
  • Babeshko O.M. Кубанский государственный университет, Краснодар, Российская Федерация

УДК

539.3

DOI:

https://doi.org/10.31429/vestnik-13-1-2-37-80

Аннотация

В работе изучаются свойства обнаруженных землетрясений, названных стартовыми. Обсуждаются вопросы, связанные со способом их выявления, ожидаемого поведения события, определения места, времени и его интенсивности. Сопоставляются некоторые характерные свойства реальных землетрясений с моделируемыми. Подчеркнуто, что отсутствуют в имеющейся научной литературе какие-либо сведения о землетрясениях подобного типа. Выявление подобных землетрясений не дает эффекта при прямом применении к решению комплекса граничных задач в средах с хрупкими свойствами даже мощных вычислительных средств в связи со спецификой проблемы — наличием разрывных и неограниченных составляющих в решении. Предложен способ использования для исследования землетрясений средств высокопроизводительных вычислений путем погружения исследований в топологические пространства, обладающие более широким спектром свойств, чем функциональные.

Ключевые слова:

блочный элемент, факторизация, топология, методы интегральной и дифференциальной факторизации, внешние формы, блочные структуры, граничные задачи, зона особенностей, сингулярная особенность, логарифмическая особенность, разрывная особенность, алгебраическая система уравнений, землетрясение

Финансирование

This work was supported by the Russian Foundation for Basic Research, projects nos. (14-08-00404), (15-01-01379), (15-08-01377), (16-41-230214), (16-41-230218), (16-48-230216), by the Program no 1-33P of the Presidium of the Russian Academy of Sciences, from (0256-2015-0088) till (0256-2015-0093) and State Order, project (0256-2014-0006).

Информация об авторах

Владимир Андреевич Бабешко

академик РАН, д-р физ.-мат. наук, зав. 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

Ольга Владимировна Евдокимова

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

e-mail: evdokimova.olga@mail.ru

Ольга Мефодиевна Бабешко

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

Библиографические ссылки

References for 1

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  7. Evdokimova O.V., Babeshko O.M., Babeshko V.A. About differential method of factorization in nonuniform tasks. Dokl. Akad. Nauk, 2008, vol. 418, no. 3, pp. 321-323. (In Russian)
  8. Babeshko V.A., Evdokimova O.V., Babeshko O.M. The integral factorization method in mixed problems for anisotropic media. Doklady Physics, 2009, vol. 54, iss. 6, pp. 285-289.
  9. Babeshko V.A., Babeshko O.M., Evdokimova O.V. The implementation of boundary conditions in the differential method of factorization. Dokl. Akad. Nauk, 2007, vol. 412, no. 5, pp. 600-603. (In Russian)
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  6. Babeshko V.A., Babeshko O.M., Evdokimova O.V. About pyramidal block element. Dokl. Akad. Nauk, 2009, vol. 428, no. 1, pp. 30-34. (In Russian)
  7. Babeshko V.A., Babeshko O.M., Evdokimova O.V. About block element in the form of random triangular pyramid. Dokl. Akad. Nauk, 2009, vol. 429, no. 6, pp. 758-761. (In Russian)
  8. Babeshko V.A., Evdocimova O.V., Babeshko O.M. The differential factorization method in block structures and nanostructures. Dokl. Akad. Nauk, 2007, vol. 415, no. 5, pp. 596-599. (In Russian)
  9. Evdokimova O.V., Babeshko O.M., Babeshko V.A. About differential method of factorization in nonuniform tasks. Dokl. Akad. Nauk, 2008, vol. 418, no. 3, pp. 321-323. (In Russian)
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  11. Babeshko V.A, Babeshko O.M. Factorization formula of some meromorphic matrix function. Dokl. Akad. Nauk, 2004, vol. 399, no. 1, pp. 163-167. (In Russian)
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  1. Babeshko V.A., Babeshko O.M., Evdokimova O.V. On the Sadovski problem of block structures. Doklady Physics, 2009, vol. 54, iss. 8, pp. 373-377.
  2. Babeshko V.A., Evdokimova O.V., Babeshko O.M. On the theory of a block element. Doklady Physics, 2009, vol. 54, iss. 7, pp. 329-332.
  3. Babeshko V.A., Evdokimova O.V., Babeshko O.M. The pyramidal block element. Doklady Physics, 2009, vol. 54, iss. 9, pp. 418-422.
  4. Babeshko V.A., Evdokimova O.V., Babeshko O.M. The Arbitrary triangular pyramidal block element. Doklady Physics, 2009, vol. 54, iss. 12, pp. 557-560.
  5. Babeshko V.A., Evdokimova O.V., Babeshko O.M. The integral factorization method in mixed problems for anisotropic media. Doklady Physics, 2009, vol. 54, iss. 6, pp. 285-289.
  6. Babeshko V.A., Evdocimova O.V., Babeshko O.M. The differential factorization method in block structures and nanostructures. Dokl. Akad. Nauk, 2007, vol. 415, no. 5, pp. 596-599. (In Russian)
  7. Evdokimova O.V., Babeshko O.M., Babeshko V.A. About differential method of factorization in nonuniform tasks. Dokl. Akad. Nauk, 2008, vol. 418, no. 3, pp. 321-323. (In Russian)
  8. Babeshko V.A., Ritzer J.A. Features of the block element method. Doklady Physics, 2011, vol. 56, iss. 3, pp. 178-181.
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  7. Evdokimova O.V., Babeshko O.M., Babeshko V.A. About differential method of factorization in nonuniform tasks. Dokl. Akad. Nauk, 2008, vol. 418, no. 3, pp. 321-323. (In Russian)
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  11. Babeshko V.A., Evdokimova O.V., Babeshko O.M. On the problem of estimating the state of coated materials. Doklady Physics, 2006, vol. 51, iss. 8, pp. 423-428.
  12. Babeshko V.A., Evdokimova O.V., Babeshko O.M. On the theory of a block element. Doklady Physics, 2009, vol. 54, iss. 7, pp. 329-332.
  13. Babeshko V.A., Evdokimova O.V., Babeshko O.M. Title: Features of the block-element method in nonstationary problems. Doklady Physics, 2011, vol. 56, iss. 6, pp. 338-342.
  14. Babeshko V.A., Evdokimova O.V., Babeshko O.M. Automorphism and pseudo-differential equations in the block-element method. Doklady Physics, 2011, vol. 56, iss. 6, pp. 348-351.
  15. Babeshko V.A., Babeshko O.M., Evdokimova O.V. Block elements in the theory of plates of complex shape. Izv. Ross. Akad. Nauk, Mekh. Tverd. Tela, 2012, no. 5, pp. 92-97. (In Russian)

References for 9

  1. Babeshko V.A., Evdokimova O.V., Babeshko O.M. Topological methods in thetheory of hidden defects and some anomalies. Doklady Physics, 2014, vol. 59, iss. 8, pp. 379-384.
  2. Babeshko V.A., Evdokimova O.V., Babeshko O.M. About the polytypic coverings with cracks in seismology and nanomaterials. Dokl. Akad. Nauk. (in print).
  3. Babeshko V.A., Pavlova A.V., Ratner S.V., Williams R. To the solution of the problem of vibration of the firm solid, containing the system of the internal crack cavities. Dokl. Akad. Nauk, 2002, vol. 382, no. 5, pp. 625-628. (In Russian)
  4. Babeshko V.A., Babeshko O.M. Method of factorization in boundary problems in unlimited areas. Dokl. Akad. Nauk, 2003, vol. 392, no. 6, pp. 767-770. (In Russian)
  5. Babeshko V.A, Babeshko O.M. Factorization formula of some meromorphic matrix function. Dokl. Akad. Nauk, 2004, vol. 399, no. 1, pp. 163-167. (In Russian)
  6. Babeshko V.A., Babeshko O.M. Method of factorization of some boundary-problems. Dokl. Akad. Nauk, 2003, vol. 389, no. 2, pp. 184-188. (In Russian)
  7. Babeshko V.A., Evdokimova O.V, Babeshko O.M. About automorphism and pseudodifferential equations in the method of block-element. Dokl. Akad. Nauk, 2011, vol. 438, no.5, pp. 623-625. (In Russian)
  8. Babeshko V.A., Evdokimova O.V., Babeshko O.M. To the problem of investigation of materials with covering. Dokl. Akad. Nauk, 2006, vol. 410, no. 1, pp. 49-52. (In Russian)
  9. Babeshko V.A., Evdokimova O.V., Babeshko O.M. To the problem of state value of the materials with covering. Dokl. Akad. Nauk, 2006, vol. 409, no. 4, pp. 481-485. (In Russian)
  10. Babeshko V.A., Belyankova T.I., Kalinchuk V.V. Method fictitious absorption in problems of the theory of flexibility for dissimilar half-space. Applied Mechanics and Mathematics, 2002, vol. 66, no. 2, pp. 276-284. (In Russian)
  11. Vorovich I.I., Babeshko V.A. Dynamic mixed problems of the theory of elasticity for non-classical areas. Moscow, Nauka Publ., 1979, 320 p. (In Russian)
  12. Babeshko V.A. About the systems of integral equations of the dynamic contact problems. Reports of the AS the USSR, 1975, vol. 220, no. 6, pp. 1293-1296. (In Russian)
  13. Babeshko V.A. Static and dynamic contact problems with cohesion. Applied mathematics and dynamics, 1975, vol. 39, no. 3, pp. 505-512. (In Russian)
  14. Babeshko V.A. Factorization of a class of matrix-functions and it’s enclosure. Reports of the AS the USSR, 1975, vol. 223, no. 5, pp. 1094-1097. (In Russian)
  15. Babeshko V.A., Babeshko O.M. Method of factorization in the theory of viruses of vibrostrength. Dokl. Akad. Nauk, 2003, vol. 393, no. 4, pp. 473-477. (In Russian)

References for 10

  1. Pevnev A.K. The ways to practical earthquake forecast. 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. The selectas. vol. 2. Moscow, Publishing house AN USSR, 1960, 465 p. (In Russian)
  4. Gutenberg B., Richter C. Seismicity of the Earth and associated phenomena. Princeton Univ. Press, 1954, 310 p.
  5. Rihter Ch. Elementary seismology. Moscow, Publishing house of foreign literature 1963, 670 p. (In Russian)
  6. Gamburtsev G.A. The perspective plan of searchings of the problem ``Survey and improvement of earthquakes forecast''. Developing of ideas by G.A. Gamburtsev in geophysics. Moscow, Nauka Publ., 1982, pp. 304-311. (In Russian)
  7. Sadovskiy M.A., Bolkhovitinov L.G., Pisarenko V.F. Deformation of geophysical environment and seismical process. Moscow, Nauka Publ., 1987, 104 p. (In Russian)
  8. Sobolev G.A. The basics of earthquake forecast. Moscow, Nauka Publ., 1993. 313 p. (In Russian)
  9. Keilis-Borok V.A. Dynamics of the sial zone of earth and earthquake forecast. Nature, 1989, no. 12, pp. 10-18.
  10. Alekseev A.S., and etc. Active seismology with strong vibrational sources. Collective monograph. Publishing house SO RAN, 2004, 388 p. (In Russian)
  11. Grigoryan S.S. About the mechanism of earthquakes beginning and content of empirical regularities of seismology. Report AN USSR, 1988, vol. 299, no. 5, pp. 1083-1087. (In Russian)
  12. Chernov Y.K. Strong movements of subsoil and quantitative estimation of seismical danger of the territory. Tashkent, FAN Publ., 1989, 296 p. (In Russian)
  13. Rice J. Mechanics of earthquake focus. Moscow, Mir Publ., 1982, 217 p. (In Russian)
  14. Babeshko V.A., Evdokimova O.V., Babeshko O.M. About different-type coverings with flaws in static problems of seismology and nanomaterials. Dokl. Akad. Nauk, 2014, vol. 469, no. 6, pp. 41-45. (In Russian)
  15. Babeshko V.A., Vorovich I.I. Dynamic mixed tasks form the theory of elasticity for nonclassical spheres. Moscow, Nauka Publ., 1979, 320 p. (In Russian)

Выпуск

Страницы

37-80

Отправлено

2016-04-04

Опубликовано

2016-04-22

Как цитировать

Babeshko V.A., Evdokimova O.V., Babeshko O.M. The theory of the starting earthquake // Экологический вестник научных центров Черноморского экономического сотрудничества. 2016. №1. С. 37-80. DOI: https://doi.org/10.31429/vestnik-13-1-2-37-80