Fractal-wave nature of the geological environment of coal formation at Donbas


  • K.A. Bezruchko M.S. Polyakov’s Institute of Geotechnical Mechanics, National Academy of Sciences of Ukraine, Ukraine
  • L.I. Pimonenko M.S. Polyakov’s Institute of Geotechnical Mechanics, National Academy of Sciences of Ukraine, Ukraine
  • A.A. Kargapolov M.S. Polyakov’s Institute of Geotechnical Mechanics, National Academy of Sciences of Ukraine, Ukraine
  • V.G. Baranovskiy M.S. Polyakov’s Institute of Geotechnical Mechanics, National Academy of Sciences of Ukraine, Ukraine



sedimentary deposits, coalrock massif, wave processes, fractal dimension


The structure investigation of the fault and folded deformations of sedimentary deposits at Donbas on various scale levels: from microdislocations to large amplitude ones is carried out. It is established that on all scale levels, the lateral frequency of the folds resulting from the wave processes caused by pulsed horizontal tectonic forces in the post-inversion period is seen. According to the parameters of natural and technogenic fault dislocations of Donbas, the authors calculated fractal dimensions for dependencies of lengths, the number of deformations, the surface area of shifters, the distance between the cracks from the scale of maps for individual mines and workings, coal beds and sandstones. The measurements were carried out on micrographs of coal particles, in mining workings, according to the geological maps of Donbas and individual districts. The distributions of fault deformations in the coalrock massif are described by lognormal and power laws, which indicates the fractality of the fault deformation of sedimentary deposits at Donbas, and the differences of fractal dimensions at various scale levels point at its multifractality. The accuracy of the obtained results is confirmed by the similarity of fractal dimensions calculated by various methods. The discrepancy between the values of fractal dimensions at the different scale levels reflects the impact of additional local or regional factors affecting the formation of the basin framework. The obtained data attest to the action of fractal-wave processes, which, being superpositioned on the resulting deposits, formed a complex structure of the sedimentary thickness of Donbas.


Barannikova, S.A. Gorbatenko, V.V., Nadezhkin, M.V., & Zuev, L.B. (2012) Slow wave processes during compression of rock samples and alkaline-halloid crystals. Vestnik Permskogo natsional’nogo issledovatel’skogo politekhnicheskogo universiteta, (2), 8—19 (in Russian).

Bezruchko, K.A., & Baranovskiy, V.I. (2014). Traces of the gas generation process in the coals of Donbass. Ugol’ Ukrainy, (11), 31—34 (in Russian).

Bogachenko, I.N. (1971). Mega-fracturing and forecast of fracture tectonics and low-amplitude rupture dislocation in explored areas and fields of operating mines. Trudy DonbassNIL MG USSR, (3), 39—46 (in Russian).

Bulat, A.F., & Durdа, V.I. (2005). Fractals in geomechanics. Kiev: Naukova Dumka, 357 p. (in Russian).

Vikulin, A.V. (2003). Physics of the wave seismic process. Petropavlovsk-Kamchatsky: KGPU Publishing House, 151 p. (in Rus-sian).

Driban, V.A., Grishchenkov, N.N., Khodyrev, E.D., & Dubrova, N.A. (2013). Features of the formation of technogenic reservoirs during the development of coal seams in the conditions of the central heating center. Naukovi pratsi UkrNDMI NAN Ukrainy, (13), 220—237 (in Russian).

Zabigaylo, V.E., Lukinov, V.V., Pimonenko, L.I., & Sakhnevich, N.V. (1994). Tectonics and mining and geological conditions for the development of Donbass coal deposits. Kiev: Naukova Dumka, 152 p. (in Russian).

Kocharyan, G.G., Kostyuchenko, V.N., & Pavlov, D.V. (2004). Initiation of deformation processes in the earth’s crust by weak disturbances. Fizicheskaya mezomekhanika, 7(1), 5—22 (in Russian).

Kocharyan, G.G., & Fedorov, A.E. (1990). On the features of the mechanics of the seismic process in a block geophysical environment. Doklady AN SSSR, 315(6), 1345—1349 (in Russian).

Kuzmin, Yu.O. (2012). Deformation autowaves in fault zones. Fizika Zemli, (1), 3—19 (in Russian).

Lukinov, V.V., & Pimonenko, L.I. (2008). Tectonics of methane coal deposits of Donbass. Kiev: Naukova Dumka, 352 p. (in Russian).

Lung, I. (1988). Fractals and fracture of metals with cracks. In Fractals in physics (pp. 260—265). Moscow: Mir (in Russian).

Mylaniuk, S.V. (2018). Block-and-architecture model of seismic processes. Dopovidi NAN Ukrainy, (11), 55—62 (in Ukrainian).

Pimonenko, L.I., Baranovskiy, V.I., Pilipenko, Yu.N., & Tkachenko, A.V. (2010). Influence of sedimentation conditions on the localization of low-amplitude disturbances in coal seams. Geotekhnicheskaya mekhanika, (91), 255—260 (in Russian).

Pymonenko, L.I., & Burchak, O.V. (2011). Investigation of fractality of spatio-temporal evolution of coal matter by the method of Hearst. Naukovi pratsi DonHTU. Ser. Hirnycho-heolohichna, (15), 233—239 (in Ukrainian).

Plotnikov, L.M., & Petrov, A.I. (1969). On reflections in geological objects of the wave nature of mechanical stresses. In Pressures and mechanical tensions in the development of the composition, structure and topography of the listosphere (pp. 46—50). Leningrad (in Russian).

Podurushin, V.F. (2014). Tectonics of the geophysical mezoval (North of the Western Siberia). Vesti gazovoy nauki: Problemy resursnogo obespecheniya gazodobyvayushchikh rayonov Rossii do 2030 g, (3), 82—88 (in Russian).

Sadovskiy, M.A., Bolkhovitinov, L.G., & Pisarenko, V.F. (1987). Deformation of the geophysical environment and the seismic process. Moscow: Nauka, 100 p. (in Russian).

Tyapkin, K.F., & Kivelyuk, T.T. (1982). Study of fault structures by geological and geophysical methods. Moscow: Nedra, 239 p. (in Russian).

Tveritinova, T.Yu. (2007). On the fractal-wave nature of the geological environment. Retrieved from (in Russian).

Feder, E. (1991). Fractals. Moscow: Mir, 254 p. (in Russian).

Shuman, V.N., Kobolev, V.P., Starostenko, V.I., Burkinskiy, I.B., Loyko, N.P., Zakharov, I.G., & Yatsiuta, D.A. (2012). A method of analysis of spontaneous electromagnetic emission of the Earth: physical backgrounds, elements of theory, field experi-ment. Geofizicheskiy Zhurnal, 34(4), 40—61. (in Russian).

ImageJsoftware. [Electronic resource]. Retrieved from Title from the screen.

Pymonenko, L., Karhapolov, A., Kuznetsova, L., Prykhodchenko, O., & Hunia, D. (2019). Geological factors of gassing of the east inclined longwall # 3 of m3 bed at O.F. Zasiadko mine. E3S Web of Conferences, 109, 00078.

Sherman, S.I. (2013). Deformation waves as a trigger mechanism of seismic activity in seismic zones of the continental litho-sphere. Geodynamics & Tectonophysics, 4(2), 83—117.



How to Cite

Bezruchko, K. ., Pimonenko, L. ., Kargapolov, A. ., & Baranovskiy, V. . (2022). Fractal-wave nature of the geological environment of coal formation at Donbas. Geofizicheskiy Zhurnal, 44(1), 131–144.