The theory of the starting earthquake
[ Теория стартового землетрясения ]

  • Babeshko V. A. Южный научный центр РАН, Ростов-на-Дону, Россия
  • Evdokimova O. V. Южный научный центр РАН, Ростов-на-Дону, Россия
  • Babeshko O. M. Кубанский государственный университет, Краснодар, Россия
УДК: 539.3

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

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
Евдокимова Ольга Владимировна, 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

Литература

References for 1

  1. Babeshko V.A., Evdokimova 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)
  2. 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)
  3. Babeshko V.A., Evdokimova O.V., Babeshko O.M., Zaretskaya M.V., Pavlova A.V. Differential method of factorization for block structure. Dokl. Akad. Nauk, 2009, vol. 424, no. 1, pp. 36-39. (In Russian)
  4. Babeshko V.A., Babeshko O.M., Evdokimova O.V. About the integral and the differential factorization methods. Dokl. Akad. Nauk, 2006, vol. 410, no. 2, pp. 168-172. (In Russian)
  5. Babeshko V.A., Babeshko O.M., Evdokimova O.V. Integral method of factorization in combined tasks for anisotropic environments. Dokl. Akad. Nauk, 2009, vol. 426, no. 4, pp. 471-475. (In Russian)
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References for 2

  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. [Babeshko V.A., Babeshko O.M., Evdokimova O.V. About the problem of block structures of academician M.A. Sadovskiy. Dokl. Akad. Nauk, 2009, vol. 427, no. 4, pp. 480-485. (In Russian)]
  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. [Babeshko V.A., Babeshko O.M., Evdokimova O.V. To the theory of block element. Dokl. Akad. Nauk, 2009, vol. 427, no. 2, pp. 183-186. (In Russian)]
  3. Babeshko V.A., Evdokimova O.V., Babeshko O.M. The pyramidal block element. Doklady Physics, 2009, vol. 54, iss. 9, pp. 418-422. [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)]
  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. [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)]
  5. Babeshko V.A., Babeshko O.M. Method of factorizing a solution to some boundary-value problems. Doklady Physics, 2003, vol. 48, iss. 9, pp. 134-137.
  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., 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)
  10. Vorovich I.I., Babeshko V.A. Dynamical mixed problems of theory of elasticity for nonclassical regions. Moscow, Nauka Publ., 1979. (In Russian)
  11. Babeshko V.A., Evdokimova O.V., Babeshko O.M., Zaretskaya M.V., Pavlova. A.V. The differential factorization method for a block structure. Doklady Physics, 2009, vol. 54, iss. 1, pp. 25-28. [Babeshko V.A., Evdokimova O.V., Babeshko O.M., Zaretskaya M.V., Pavlova. A.V. The differential factorization method for a block structure. Dokl. Akad. Nauk, 2009, vol. 424, no. 1, pp. 36-39. (In Russian)]

References for 3

  1. Babeshko V.A, Evdokimova O.V, Babeshko O.M. Block elements with spherical border. Dokl. Akad. Nauk, 2010, vol. 434, no. 5, pp. 616-619. (In Russian)
  2. 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.
  3. Babeshko V.A., Babeshko O.M., Evdokimova O.V. About the problem of block structures of academician M.A. Sadovskiy. Dokl. Akad. Nauk, 2009, vol. 427, no. 4, pp. 480-485. (In Russian)
  4. Babeshko V.A, Evdokimova O.V, Babeshko O.M. Quantum-mechanical properties of block elements in nanomaterials. Dokl. Akad. Nauk, 2010, vol. 435, no. 2, pp. 190-194. (In Russian)
  5. Babeshko V.A., Babeshko O.M., Evdokimova O.V. To the theory of block element. Dokl. Akad. Nauk, 2009, vol. 427, no. 2, pp. 183-186. (In Russian)
  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)
  10. Babeshko V.A., Glushkov B.V., Vinchenko N.F. Dynamics of inhomogenious linearly elastic media, Moscow, Nauka Publ., 1979. (In Russian)
  11. Vorovich I.I., Babeshko V.A. Mixed dynamic problems of elasticity theory in unbounded domains. Moscow, Nauka, 1979. (In Russian)

References for 4

  1. Babeshko V.A., Babeshko O.M. Integral transformations and the factorization method in boundary problems. Dokl. Akad. Nauk, 2005, vol. 403, no. 6, pp. 26-28. (In Russian)
  2. Babeshko V.A. Evdokimova O.V., Babeshko O.M. Quantum-mechanical properties of block elements in nanomaterials. Doklady Physics, 2010, vol. 55, iss. 11, pp. 568-572. [Babeshko V.A., Evdokimova O.V., Babeshko O.M. Quantum-mechanical properties of block elements in nanomaterials. Dokl. Akad. Nauk, vol. 435, no. 2. pp. 190-194. (In Russian)]
  3. Babeshko V.A. Evdokimova O.V., Babeshko O.M. About the features of the block element method in nonstationary problems. DAN. 2011, vol. 438, no. 4, pp. 470-474.
  4. Babeshko V.A., Evdokimova O.V., Babeshko O.M. About block elements in layered media with a relief boundary. Doklady Physics, 2010, vol. 55, iss. 11, pp. 545-550. [Babeshko V.A., Evdokimova O.V., Babeshko O.M. About block elements in lay environment with inflate border. Dokl. Akad. Nauk, 2010, vol. 435, no. 1, pp. 29-34. (In Russian)]
  5. Babeshko V.A., Ritzer J.A. Features of the block element method. Doklady Physics, 2011, vol. 56, iss. 3, pp. 178-181.
  6. Babeshko V.A., Babeshko O.M., Evdocimova O.V. Fulfillment of edge conditions in the differential factorization method. Dokl. Akad. Nauk, 2007, vol. 412, no.5, pp. 600-603. (In Russian)
  7. Vorovich I.I., Babeshko V.A. Dynamic mixed problems of the theory of elasticity for nonclassical regions. Moscow, Nauka, 1979. (In Russian)
  8. Nobl B. Wiener-Hopf Metod. Moscow, Inostrannaya Literatura Publ., 1962. (In Russian)
  9. 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)
  10. Babeshko V.A., Babeshko O.M. Method of factorizing a solution to some boundary-value problems. Doklady Physics, 2003, vol. 48, iss. 9, pp. 134-137.
  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)
  12. Evdokimova O.V. About factorization of matrix functions arising in the problem of materials of complex structure. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2007, no. 2, pp. 8-11. (In Russian)

References for 5

  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.
  9. Babeshko V.A., Evdokimova O.V., Babeshko O.M. About polyhedral and convex block elements. Doklady Physics, 2010, vol. 55, iss. 6, pp. 292-296.
  10. Babeshko V.A., Evdokimova O.V., Babeshko O.M. Features of the block-element method in nonstationary problems. Doklady Physics, 2011, vol. 56, iss. 6. pp. 338-342.
  11. Babeshko V.A., Evdokimova O.V., Babeshko O.M. About block elements in layered media with a relief boundary. Doklady Physics, 2010, vol. 55, iss. 11, pp. 545-550.
  12. Babeshko V.A., Evdokimova O.V., Babeshko O.M. Block elements with a spherical boundary. Doklady Physics, 2010, vol. 55, iss. 10, pp. 512-515.
  13. Babeshko V.A., Evdokimova O.V., Babeshko O.M. Block elements with a cylindrical boundary in macro- and nanostructures. Doklady Physics, 2011, vol. 56, iss. 10, pp. 544-547.
  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., 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.

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  9. Babeshko V.A., Babeshko O.M., Evdokimova O.V. About the integral and the differential factorization methods. Dokl. Phys., 2006, vol. 410, no. 2, pp. 168-172. [Babeshko V.A., Babeshko O.M., Evdokimova O.V. To the problem of study of coated fabrics. Dokl. Akad. Nauk, 2006, vol. 410, no. 1, pp. 49-52. (In Russian)]
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References for 7

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  2. 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)
  3. Evdokimova O.V., Babeshko O.M., Babeshko V.A. About differential method of factorization in heterogeneous sums. Dokl. Akad. Nauk, 2008, vol. 418, no. 3, pp. 321-323. (In Russian)
  4. Babeshko V.A., Evdokimova O.V., Babeshko O.M. About polyhedral and salient block elements. Dokl. Akad. Nauk, 2010, vol. 432, no. 5, pp. 610-623. (In Russian)
  5. Babeshko V.A., Babeshko O.M., Evdokimova O.V. About he block element in the shape of arbitrary triangular pyramid. Dokl. Akad. Nauk, 2009, vol. 429, no. 6, pp. 758-761. (In Russian)
  6. Babeshko V.A., Evdokimova O.V., Babeshko O.M. About the ``viral'' theory of some anomalous act of nature. Dokl. Akad. Nauk, 2012, vol. 447, no. 1, pp. 33-37. (In Russian)
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  8. Babeshko V.A., Ritser D., Evdokimova O.V., Babeshko O.M. About the energy localization of nature processes and nature viruses. Dokl. Akad. Nauk, 2013, vol. 448, no. 4, pp. 406-409. (In Russian)
  9. Babeshko V.A., Evdokimova O.V., Babeshko O.M. About the block elements in enclosure. Physical mesomechanics, 2012, vol. 15, no. 1, pp. 95-103. (In Russian)
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  13. Babeshko V.A., Evdokimova O.V., Babeshko O.M. Some general characteristics of block elements. Dokl. Akad. Nauk, 2012, vol. 442, no. 1, pp. 37-40. (In Russian)
  14. 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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References for 8

  1. Babeshko V.A., Evdokimova O.V., Babeshko O.M. Virus theory of certain anomalous natural phenomena. Doklady Physics, 2012, vol. 57, iss. 11, pp. 442-446.
  2. Babeshko V.A., Evdokimova O.V., Babeshko O.M. Virus theory of certain natural anomalies. Doklady Physics, 2012, vol. 57, iss. 12, pp. 487-491.
  3. Babeshko V.A., Ritzer J., Evdokimova O.V., Babeshko O.M. Energy localization in natural processes and natural viruses. Doklady Physics, 2013, vol. 58, iss. 2, pp. 51-55.
  4. Babeshko V.A., Evdokimova O.V., Babeshko O.M. A topological method for solving boundary value problems and block elements. Dokl. Akad. Nauk, 2013, vol. 449, no. 6, pp. 657-660. (In Russian)
  5. Babeshko V.A. Abstracts of Papers, EPOS Preparatory Phase Regional Conf. (Prague, 2012), http://rp7.ffg.at/eu-russian\_opendays.
  6. Babeshko V.A., Evdokimova 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., Evdokimova O.V., Babeshko O.M. Differential method of factorization in block-structures and nanostructures. Dokl. Akad. Nauk, 2007, vol. 415, no. 5, pp. 596-599. (In Russian)
  9. Babeshko V.A., Kalinchuk V.V. Southern Scientific Centre in the system of seismic and geodynamic monitoring of the Black Sea region. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2012, no. 1, p. 25-32. (In Russian)
  10. Babeshko V.A., Evdokimova O.V., Babeshko O.M. Addressing the problem of investigating coated materials. Doklady Physics, 2006, vol. 51, iss. 9, pp. 509-512.
  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.
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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).

Страницы
37-80
Прислано
2016-04-04
Опубликовано
2016-04-22

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