Fractal structure of the positive free-air gravity anomalies within the Balkan Peninsula
The investigations of the fractal structure and properties of the different geophysical elements is new and fast developing area of research among the geophysical society. The fractal properties of the earthquake clusters, faults and folds at different scale, even the plutonic bodies and other elements of the positive landforms are the most exploited areas of research. In our caste the special attention is paid to the gravity field (free-air anomalies) as the most expressive element of the surface elevated structures and their influence to the relief. The Balkan Peninsula is well known as the one of the most variable Earth’s surface elevation area in the world. The fractal properties of gravity field in such area could be useful to try to establish formal relationships to the surface elevation, as well as to prove the possibility to get some information about the self-organization and the origin of the mountain landforms in the same area.
Ranguelov, B., Ivanov, Y. (2017) Fractal properties of the elements of Plate tectonics. Journal of mining and Geological Sciences. Vol. 60, Part 1, Geology and Geophysics, 83-89.
Ranguelov, B., Dimitrova, S., Gospodinov, D., Spassov, E., Lamykina, G., Papadimitriou, E., Karakostas, V. (2004) Fractal properties of the South Balkans seismotectonic model for seismic hazard assessment, Proceedings 5th Intl. Symposium on East Mediterranean Geology, Thessalonica, 643-646.
Iliev, R. (2018) Fractality of the mountain arched morphostructures in the Rhodope Mountains. SocioBrains, 43, 366-371.
Iliev, R., Stankova, Sv., Tzankov, Tz. (2018) Fractal geometry of topography in the Rhodope Mountain. SocioBrains, 42, 162-167.
Tzankov, Tz., Iliev, R., Mitkov, I., Stankova, Sv. (2018) About Fractal Geometry of the Glacial Cirques in Rila and Pirin Mountains (Southwest Bulgaria). Universal Journal of Geoscience, 6, 73-77. Doi: 10.13189/ujg.2018.060303.
Bak, P., Chen, K. (1995) Fractal dynamics of earthquakes. Fractals in the Earth Sciences, Plenum Press, New York, 227-235.
Bhattacharya, P., Chakrabarti,B.K., Kamal, Samanta, D. (2009) Fractal models of earthquake dynamics. Reviews of Nonlinear Dynamics and Complexity, ed. by H. G. Schuster, Wiley - VCH Verlag GmbH & Co. KGaA, 107 – 158.
Legrand, D. (2002) Fractal dimensions of small, intermediate and large earthquakes. Bulletin of the Seismological Society of America, Vol. 92, No. 8, 3318–3320.
Matsuzaki, М. (1994) Philosophical Transactions: Physical Sciences and Engineering. Vol. 348, No. 1688,, 449-457.
Mittag, R. (2003) Fractal analysis of earthquake swarms of Vogtland/NW-Bohemia intraplate seismicity. Journal of Geodynamics, 35, 1–2, 173-189. doi.org/10.1016/S0264-3707(02)00061-3
Öztürk, S. (2008) Statistical correlation between b-value and fractal dimension regarding Turkish epicentre distribution. Earth Sciences Research Journal, 16, 2, 103-108.
Pailoplee, S., Choowong, M. (2014) Earthquake frequency-magnitude distribution and fractal dimension in mainland Southeast Asia. Earth,Planets and Space, 6, 1-8. doi.org/10.1186/1880-5981-66-8
Srivardhan, V., Srinu, U. (2014) Potential of Fractal Analysis of Earthquakes through Wavelet Analysis and Determination of b Value as an Aftershock Precursor: A Case Study Using Earthquake Data between 2003 and 2011 in Turkey. Journal of Earthquakes, vol. 2014, 5 p. doi.org/10.1155/2014/123092.
Tosi, Р., De Rubeis, V., Loreto,V., Pietronero, L. (2008) Space–time correlation of earthquakes. Geophysical Journal International, Vol. 173, Issue 3, 932–941; doi.org/10.1111/j.1365-246X.2008.03770.x
Bonvalot, S., Balmino, G., Briais, A., Kuhn, М, Peyrefitte, A., Vales, N., Biancale, R., Gabalda, G., Reinquin, F., Sarrailh, M. (2012) World Gravity Map. Commission for the Geological Map of the World. Eds. BGI-CGMW-CNES-IRD, Paris.
Mandelbrot B. (1982) The Fractal Geometry of Nature. San Francisco: W.H. Freeman & Co., San Francisco, 68 p.
Korvin, G. (1992) Fractal models in the Earth Sciences. New York: Elsevier, 236 pp.
Turcotte, D. (1986) Fractals and Fragmentation. 1986a. Journal of Geophysical Research. 91, B2, 1921-1926.
Hirata T. (1989) Fractal dimension of fault system in Japan: Fractal structure in Rock geometry at various scales. Pure and Applied Geophysics, 131, 157-173.
Turcotte, D. (1986) A fractal model of crustal deformation. Tectonophysics, 132, 361-369.
Ranguelov, B., Dimitrova, S. (2002) Fractal model of the recent surface earth crust fragmentation in Bulgaria, Comptes Rendus de l’Academy Sciences Bulgaria. 55, 3, 25-28.
Ranguelov, B., Dimitrova, S., Gospodinov, D. (2003) Fractal configuration of the Balkan seismotectonic model for seismic hazard assessment, Proceedings BPU-5, Vrnjacka Banja, Serbia and Montenegro, 1377-1380.
Ranguelov, B. (2010) Nonlinearities and fractal properties of the European-Mediteranean seismotectonic model. Geodynamics & Tectonophysics, 1, 3, 225–230.
Tzankov, Tz., Iliev, R. (2015) Morphostructure of the Rhodopean Mountain Massif. Publishing House “Grafika 19”, Sofia, Bulgaria, 48 p.
Tzankov, Tz., Iliev, R., Stankova, Sv., Mitkov, I. (2018) The Bulgarian continental microplate morphotectonic position in the eastern part of Balkan Peninsula. SocioBrains, 42, 282-302.
USGS Seismic hazard program, Online available from https://earthquake.usgs.gov
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