Physical and Chemical Geotechnologies

Purpose

Setting of interrelation between the solid pieces destruction splinters distribution on size and the material reduction ratio in order to develop the energy effective modes of mining rocks treatment.

Methodology

The usage of the logarithmic gamma distribution of mining rocks destruction splinters on their size during processing in disintegrators of various types is substantiated analytically based on mathematical analogies. The data comparison with experimental results for a press unit, a vibrational mill and an impact crusher is fulfilled.

Findings

Theoretical distribution of the product on the size during the mining rocks narrow size class crushing in disintegrators is substantiated, assuming that the probability of definite particle destruction doesn’t depend on its size. The formula obtained in the work corresponds to the gamma distribution on the logarithmic reduction ration for the material separate size classes. Experimental tests on the granite destruction between press plates, the grinding of silicon carbide in a vertical vibrational mill and the limestone destruction by a throwing unit are fulfilled. The received characteristics of particle size distribution have been approximated in accordance with the previously obtained formula of logarithmic gamma distribution. The satisfactory coincidence of theoretical and experimental values for the cases of the compression by the press unit and the crushing by single impact are fixed. Also there have been high approximation errors for the description of size distribution characteristics of the vertical vibrational mill product. The developed equation gives the possibility to bind the distribution curve dispersion and shape directly with the achieved reduction ratio of product. The results will be used for the specification of the disintegrators operating units’ parameters calculation techniques for the purpose of specific energy consumption reducing.

Keywords: disintegrator, size distribution, gamma distribution, press unit, throwing unit, vertical vibrational mill

References

1. Babets, D.V., Sdvyzhkova, O.O., Larionov, M.H. and Tereshchuk, R.M. (2017). Estimation of rock mass stability based on probability approach and rating systems. Scientific bulletin of National Mining University, 2, 58-64.
2. Gnedenko, B.V. (1965). Kurs teorii veroiatnostey. Nauka, Moskva, 400 p.
3. Rodin, R.A. and Yunitskaia, Ye.I. (1968). Teoreticheskiy raschet produkta drobleniia izvestniaka pri razrushenii svobodnym udarom. Sb. trudov VNII Zhelezobetona, 10, 242-253.
4. Andreev, E.Е. Bilenko, L.F. and Perov, V.A. (1990). Drobleniye, izmelcheniye i grokhocheniye poleznykh iskopaemykh. Nedra, Moskva, 301 p.
5. Kolmogorov, A.N. (1941). O logarifmicheski-normalnom zakone raspredeleniia chastits pri droblenii. Doklady Akademii Nauk SSSR, 31, 2, 99-101.
6. Linch, A.Dzh. (1981). Tsikly drobleniia i izmelcheniia [perevod s angl.]. Nedra, Moskva, 343 p.
7. Pivniak, G.G., Vaysberg, L.A., Kirichenko, V.I. and others (2007). Izmelchenie. Energetika i tekhnologii. Izd. dom “Ruda i metally”, Moskva, 296 p
8. Kolosov, D., Dolgov, O., Kolosov, A. (2013). The stress-strain state of the belt on a drum under compression by flat plates. Annual Scientific-Technical Collection Mining of Mineral Deposits, 351-357.
9. Bondarenko, A.A. (2012). Laws of determination of fine materials suction limits in submarine suction dredge face. Naukovyi Visnyk Natsionalnoho Hirnychoho Iniversytetu, 4, 59-64.
10. Pilov, P.I. and Titov, A.A. (2006). Problemy razvitiia teorii dezintegratsii poleznykh iskopaemykh i sovershenstvovaniia podgotovitelnykh protsessov obogashcheniia. Zbagachennia korysnykh kopalyn, 25(66)-26(67), 44-49.