gtcrustГеодинамика и тектонофизикаGeodynamics & Tectonophysics2078-502XInstitute of the Earth's crust of the Russian Academy of Sciences, Siberian Branch10.5800/GT-2010-1-3-0018gtcrust-109Research ArticleСОВРЕМЕННАЯ ГЕОДИНАМИКАRECENT GEODYNAMICSНЕЛИНЕЙНОСТЬ И ФРАКТАЛЬНЫЕ СВОЙСТВА СЕЙСМОТЕКТОНИЧЕСКОЙ МОДЕЛИ EВРОПЕЙСКО- CРЕДИЗЕМНОМОРСКОГО РЕГИОНАNONLINEARITIES AND FRACTAL PROPERTIES OF THE EUROPEAN-MEDITERRANEAN SEISMOTECTONIC MODELРангеловБойко К.RanguelovBoyko K.

доцент,

1113, София, ул. Акад. Г. Бончева, 3

Assoc. Prof.,

1113, Sofia, Acad. G. Boncev street, 3

branguelov@gmail.comГеофизический институт, Болгарская академия наукБолгарияGeophysical Institute, Bulgarian Academy of SciencesBulgaria20101409201513225230Copyright © Рангелов Б.К., 20152015Рангелов Б.К.Ranguelov B.K.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://www.gt-crust.ru/jour/article/view/109

В статье представлены результаты исследований, целью которых было установление и количественная оценка фрактальных свойств сейсмотектонической модели Европейско-Средиземноморского региона, по которой была проведена оценка сейсмической опасности для изучаемого региона.

Был выделен ряд сейсмотектонических провинций. Для них определены нелинейные свойства как по линейным элементам (как границам сейсмогенных участков), так и по площадям занимаемых ими поверхностей.

Исследование проведено на базе формальных зависимостей, а не по реальным разломным структурам или другим сейсмогенным элементам, по методу, принятому для расчетов сейсмической опасности группой проекта SESAME (руководитель М. Jimenec) [Jimenec et al., 2001].

Особое внимание уделено сейсмотектонической модели Балканского региона в связи с необходимостью разработки общей сейсмотектонической модели с использованием расчетов по карте сейсмической опасности за период 475 лет (в соответствии с EUROCODE8) по публикации [Muco et al., 2008].

Для всех расчетов рассмотрены только сейсмогенные участки, расположенные в земной коре, без учета глубоких сейсмогенных слоев.

Сделан вывод, что большинство сейсмогенных провинций характеризуются сходными фрактальными свойствами, которые варьируются в близком диапазоне, за исключением участка Адриатики. Формальный подход не позволяет найти объяснение таким особенностям.

This paper presents research results of the study which aim is to reveal and quantitatively describe fractal properties of the European-Mediterranean seismotectonic model applied for seismic hazard assessment of the region under study.

Several seismotectonic provinces are defined, and their nonlinear properties are calculated using both linear elements (boundaries of seismogenic units) and surface areas of the seismogenic units.

The research is conducted on the basis of only formal relationships, not with data on real fault structures or other seismogenic elements, as the relationships have been accepted for seismic hazard calculations by the team of SESAME Project (Project Leader M. Jimenec) and published by Jimenec et al. [2001].

Special attention is paid to the Balkan seismotectonic model in order to develop a common seismotectonic model which uses data from the seismic hazard map for a period of 475 years (according the EUROCODE8), that was published in Muco et al. [2008].

All the calculations considered only the seismogenic units located in the earth crust, but not deeper seismogenic layers.

It is concluded that most of the seismogenic provinces are similar in their fractal properties, which varied in a narrow range, except for the Adriatic one. The formal approach does not permit to explain these peculiarities.

сейсмотектоника Европейско-Средиземноморского регионафракталынелинейностьEuro-Mediterranean seismotectonicsfractalsnonlinearitiesReferencesCaputo M. Deep structure of the Mediterranean Basin // Journal of Geophysical Research. – 1970. – V. 74. – P. 1231–1243.Caputo M. Deep structure of the Mediterranean Basin // Journal of Geophysical Research. – 1970. – V. 74. – P. 1231–1243.Dimitrova S., Ranguelov B. A geodynamic model and seismic danger for SW Bulgaria and surroundings // Proceedings «VSU2002», 29–31 May, Sofia. - 2002. – P. 1–6 (in Bulgarian).Dimitrova S., Ranguelov B. A geodynamic model and seismic danger for SW Bulgaria and surroundings // Proceedings «VSU2002», 29–31 May, Sofia. - 2002. – P. 1–6 (in Bulgarian).Jimenez M., Giardini D., Grunthal G., SEASAME Working group. Unified seismic hazard modeling throughout the Mediterranean region // Bolletino di Geofisica Teorica ed Applicata. – 2001. – V. 42, № 1–2. – P. 3–18.Jimenez M., Giardini D., Grunthal G., SEASAME Working group. Unified seismic hazard modeling throughout the Mediterranean region // Bolletino di Geofisica Teorica ed Applicata. – 2001. – V. 42, № 1–2. – P. 3–18.Hirata T. Fractal dimension of fault system in Japan: fractal structure in rock geometry at various scales // Pure and Applied Geophysics. – 1989. – V. 131. – P. 157–173.Hirata T. Fractal dimension of fault system in Japan: fractal structure in rock geometry at various scales // Pure and Applied Geophysics. – 1989. – V. 131. – P. 157–173.King G. The accommodation of large strains in the upper lithosphere of the Earth and other solids by self-similar fault system // Pure and Applied Geophysics. – 1983. – V. 121. – P. 761–815.King G. The accommodation of large strains in the upper lithosphere of the Earth and other solids by self-similar fault system // Pure and Applied Geophysics. – 1983. – V. 121. – P. 761–815.Korvin G. Fractal models in the Earth Sciences. – New York: Elsevier, 1992. – 236 p.Korvin G. Fractal models in the Earth Sciences. – New York: Elsevier, 1992. – 236 p.Mandelbrot B. The fractal geometry of nature. – San Francisco: W.H. Freeman & Co., 1982. – 368 p.Mandelbrot B. The fractal geometry of nature. – San Francisco: W.H. Freeman & Co., 1982. – 368 p.McKenzie D. Active tectonics of the Mediterranean region // Geophysical Journal of Royal Astronomical Society. – 1972. – V. 30. – P. 1186–1193.McKenzie D. Active tectonics of the Mediterranean region // Geophysical Journal of Royal Astronomical Society. – 1972. – V. 30. – P. 1186–1193.Muco B., Alexiev G., Aliaj S., Elezi Z., Grecu B., Mandrescu N., Milutinovic Z., Radulian M., Ranguelov B., Shkupi D. Geohazards map and assessment of some Balkan countries // Proceedings 31st Gen. Ass. ESC., 7–12 Sept., Hersonissos, Greece. – Hersonissos, 2008. – P. 372–381.Muco B., Alexiev G., Aliaj S., Elezi Z., Grecu B., Mandrescu N., Milutinovic Z., Radulian M., Ranguelov B., Shkupi D. Geohazards map and assessment of some Balkan countries // Proceedings 31st Gen. Ass. ESC., 7–12 Sept., Hersonissos, Greece. – Hersonissos, 2008. – P. 372–381.Papazachos B. Preliminary results of an investigation of crustal structure in SE Europe // Bulletin of the Seismological Society of America. – 1966. – V. 56. – P. 1368–1423.Papazachos B. Preliminary results of an investigation of crustal structure in SE Europe // Bulletin of the Seismological Society of America. – 1966. – V. 56. – P. 1368–1423.Papazachos B. Distribution of seismic foci in the Mediterranean area and its tectonic implication // Geophysical Journal of Royal Astronomical Society. – 1973. – V. 33. – P. 1234–1345.Papazachos B. Distribution of seismic foci in the Mediterranean area and its tectonic implication // Geophysical Journal of Royal Astronomical Society. – 1973. – V. 33. – P. 1234–1345.Papazachos B. Regionalization of seismic hazard in Greece based on seismic sources // Natural Hazards. – 1993. – V. 8. – P. 1–18.Papazachos B. Regionalization of seismic hazard in Greece based on seismic sources // Natural Hazards. – 1993. – V. 8. – P. 1–18.Ranguelov B., Dimitrova S. Fractal model of the recent surface earth crust fragmentation in Bulgaria // Comptes Rendus de l’Academy Sciences Bulgaria. – 2002. – V. 55, № 3. – P. 25–28.Ranguelov B., Dimitrova S. Fractal model of the recent surface earth crust fragmentation in Bulgaria // Comptes Rendus de l’Academy Sciences Bulgaria. – 2002. – V. 55, № 3. – P. 25–28.Ranguelov B., Dimitrova S., Gospodinov D. Fractal configuration of the Balkan seismotectonic model for seismic hazard assessment // Proceedings BPU-5, Vrnjacka Banja, Serbia and Montenegro. – 2003. – P. 1377–1380.Ranguelov B., Dimitrova S., Gospodinov D. Fractal configuration of the Balkan seismotectonic model for seismic hazard assessment // Proceedings BPU-5, Vrnjacka Banja, Serbia and Montenegro. – 2003. – P. 1377–1380.Ranguelov B., Dimitrova S., Gospodinov D., Spassov E., Lamykina G., Papadimitriou E., Karakostas V. Fractal properties of the South Balkans seismotectonic model for seismic hazard assessment // Proceedings 5th Intl. Symposium on East Mediterranean Geology. – Thessalonica, 2004. – P. 643–646.Ranguelov B., Dimitrova S., Gospodinov D., Spassov E., Lamykina G., Papadimitriou E., Karakostas V. Fractal properties of the South Balkans seismotectonic model for seismic hazard assessment // Proceedings 5th Intl. Symposium on East Mediterranean Geology. – Thessalonica, 2004. – P. 643–646.Ranguelov B., Rizhikova S., Toteva T. The earthquake (M7.8) source zone (South-West Bulgaria). – Acad. Publ. House M. Drinov, 2001. – 221 p.Ranguelov B., Rizhikova S., Toteva T. The earthquake (M7.8) source zone (South-West Bulgaria). – Acad. Publ. House M. Drinov, 2001. – 221 p.Turcotte D. Fractals and fragmentation // Journal of Geophysical Research. – 1986. – V. 91, № B2. – P. 1921–1926.Turcotte D. Fractals and fragmentation // Journal of Geophysical Research. – 1986. – V. 91, № B2. – P. 1921–1926.Turcotte D. A fractal model of crustal deformation // Tectonophysics. – 1986. – V. 132. – P. 361–369.Turcotte D. A fractal model of crustal deformation // Tectonophysics. – 1986. – V. 132. – P. 361–369.

The authors declare that there are no conflicts of interest present.