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ISSN 0536-1028 (Print)              ISSN 2686-9853 (Online)  

Latyshev O. G., Prishchepa D. V. – The Ural State Mining University, Ekaterinburg, the Russian Federation.
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The forecast of rock stability in the working and the calculation of strength values of the support are based on
the information about rock massif deformational characteristics. Elastic properties of rocks measured at samples (elastic
modulus, Poisson’s ratio) don’t correspond to the deformation of jointed massifs. In order to properly describe stressed
strained state of such massifs the calculation of geometrical characteristics of fissures system is required; they are
expressed by the relation of fissuring module, fissures heave width and their edges contacting area. The present work
discusses the technique of estimating relative contact area of fissures edges on the basis of statistic modeling of their
trajectory. Raptures and shear cracks are examined. It is stated that with deformation of fissures, contacting roughness
ledges are breaking together with dilatancy due to the raise along the line of sinuosity. As the result the trajectories of
ISSN 0536-1028 «Известия вузов. Горный журнал», № 1, 2017 85
fissures smooth out, which is accompanied by regular decline of their fractal dimension value. As the result of statistic
modeling of natural fissures of various configurations, firm relation of relative area of fissure edges contacts and their
fractal dimension is defined. It allows estimating rock massif deformation module, which possesses developed system
of fissures. Data obtained serve the basis for modeling stressed strained state of massif by means of finite elements
method and forecast of rock stability in underground workings.

Key words: rock massif; fissures; stresses strained state modeling; fractal characteristics; contacting area.

REFERENCES
1. Gudman R. Mekhanika skal'nykh porod [Hard rock mechanics]. Moscow, Stroiizdat Publ., 1987, 232 p.
2. Roza S. A., Zelenskii B. D. Issledovanie mekhanicheskikh svoistv skal'nykh osnovanii gidrotekhnicheskikh sooruzhenii
[Waterworks hard rock foundations mechanical properties investigations]. Moscow, Energiia Publ., 1967. 392 p.
3. Ruppeneit K. V. Deformiruemost' massivov treshchinovatykh gornykh porod [Deformability of fissured rock massifs].
Moscow, Nedra Publ., 1975. 223 p.
4. Latyshev O. G., Prishchepa D. V., Frants V. V. [Statistical modeling of natural fissures]. Izvestiya vysshikh uchebnykh
zavedenii. Gornyi zhurnal – News of the Higher Institutions. Mining Journal, 2016, no. 5, pp. 38–45. (In Russ.)
5. Latyshev O. G., Prishchepa D. V. [Dilatancy examination at shift of rocks along the fissure]. Izvestiya vysshikh
uchebnykh zavedenii. Gornyi zhurnal – News of the Higher Institutions. Mining Journal, 2016, no. 4, pp. 55–59.
(In Russ.)
6. Latyshev O. G., Frants V. V., Prishchepa D. V. [Fractal dimension of a fissure as a measure of its roughness]. Izvestiya
vysshikh uchebnykh zavedenii. Gornyi zhurnal – News of the Higher Institutions. Mining Journal, 2015, no. 8,
pp. 55–60. (In Russ.)

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