123

 

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


Latyshev O. G., Prishchepa D. V. – The Ural State Mining University, Ekaterinburg, the Russian Federation.
E-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
In the process of tunneling the mine workings with the help of drilling and blasting operations, the quality of delineation
possesses great significance, i.e. obtaining the section which is maximum designated to the designed outline of the working.
The quantitative measure of the degree of the outline curvedness of the working is its fractal size. Particularly, it determines
the size of the working section perimeter in mining. In this connection in order to quantitatively estimate the outline deviation
from the designed one, the outline blasting quality criterion in the shape of the fractal coefficient of the working shape is
suggested. It represents the relation of the working conform representation section area to its perimeter: under the constant
working section area, the worth the quality of the delineation is, i.e. the bigger the perimeter is, the smaller the fractal
coefficient of the shape is. The surface heterogeneity of the working leads to the increase in the concentration of stresses in
its outline. Consequently, fractal coefficient of the shape can serve as the estimation of the coefficient of the stresses
concentration. In order to study the given problem, the measurements of the sections of 32 workings in Severouralsk bauxite
mines have been fulfilled. The correlation analysis of the results has shown the reliable relation of the fractal coefficient of the
shape of workings with the coefficient of the stresses concentration in its outline. The results acquired make it possible to
estimate the quality of drilling and blasting operations and the stability of rocks in the working.

Key words: mine workings; the quality of drilling and blasting operations; fractal coefficient of the shape of working;
coefficient of the stresses concentration.

REFERENCES
1. Latyshev O. G., Frants V. V., Prishchepa D. V. [Examination of natural fissures surface as fractal object]. Izvestiya
vysshikh uchebnykh zavedenii. Gornyi zhurnal – News of the Higher Institutions. Mining Journal, 2016, no. 3,
pp. 44–50. (In Russ.)
2. Mandel'brot B. Fraktal'naia geometriia prirody: per. s nem. [Fractal geometry of nature. Transl. from German].
Moscow, IKI Publ., 2002. 656 p.
3. Baklashov I. V., Ruppeneit K. V. Prochnost' nezakreplennykh gornykh vyrabotok [The strength of unsupported mine
workings]. Moscow, Nedra Publ., 1965. 104 p.
4. Baklashov I. V., Kartoziia B. A. Mekhanika gornykh porod [The mechanics of rocks]. Moscow, Nedra Publ., 1975. 271 p.

Language

E-mail

This email address is being protected from spambots. You need JavaScript enabled to view it.

Мы индексируемся в: