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ArticleName Fragment size distribution and its probability distribution in blasted rock mass in a natural stone quarry
DOI 10.17580/gzh.2022.04.08
ArticleAuthor Gavrilkovich E. G., Onika S. G., Gets A. K., Zhukov S. A.

Granit RUPP, Mikashevichi, Belarus:

E. G. Gavrilkovich, CEO


Belarusian National Technical University, Minsk, Belarus:

S. G. Onika, Head of Department, Doctor of Engineering Sciences,
A. K. Gets, Associate Professor, Candidate of Engineering Sciences


Krivoi Rog National University, Krivoi Rog, Ukraine:

S. A. Zhukov, Head of Department, Doctor of Engineering Sciences


The key objectives in the drilling and blasting design is the determination of a powder factor, explosive weight and distribution in rock mass, as well as some other parameters required to ensure the wanted quality of rock fragmentation by blasting. These objectives have different complexities but their common feature is the probabilistic nature of fragmentation results. An integral distribution function can provide an insight into the probability of yield of certain fragment sizes. This article describes fragment size estimation of blasted rock mass at Mikashevichi granite quarry. Mikashevichi quarry has 10 producing benches mostly 12 m high and uses the blasting method of quarrying. The quarry rock mass is watered, has a hardness factor of 15–20 on Protodyakonov’s scale and belongs to jointing categories III and IV. The multiple-row and short-delay blasting uses nonelectric detonators Iskra manufactured in Russia. The explosive is nitronite E-70. The continuous explosive charges are installed in polypropylene hoses placed in jointed rock mass. The workability of different models of fragment size distribution in rock mass after blasting in evaluation of blasting results in a natural stone quarry is analyzed. The theoretical and applied research and estimation of fragment sizes after blasting in different geological conditions uses various theoretical models, including the most popular gamma-distribution (Pearson type III distribution), Weibull distribution and log-normal distribution. The comparison of the theoretical distributions and in-situ estimates of fragment sizes in blasted rock mass using Pearson’s chi-squared test shows that the best model of fragment size distribution in blasted rock mass for a natural stone quarry is the Weibull distribution.

keywords Blasting, rock mass, fragment size distribution, theoretical distribution, fragmentation quality, Pearson criterion

1. Belin V. A., Vyatkin M. N., Bolotova Yu. N., Chaban V. S., Umrikhin E. A. New technologies of explosive business in the service of mining enterprises of Russia. Results of XXI International Conference of ANO National Organization of Explosive Engineers. Vzryvnoe delo. 2021. No. 133-90. pp. 5–29.
2. Egorov V. V., Volokitin A. N., Ugolnikov N. V., Sokolovskiy A. V. Justification of parameters and technology of drilling and blasting operations to ensure the required lumpiness. Gornaya promyshlennost. 2021. No. 3. pp. 110–115.
3. Rakishev B. R., Orynbay A. A., Auezova A. M., Kuttybaev A. E. Grain size composition of broken rocks under different conditions of blasting. GIAB. 2019. No. 8. pp. 83–94.
4. De Souza J. C., Da Silva A. C. S., Rocha S. S. Analysis of blasting rocks predict ion and rock fragmentation results using split-desktop software. Tecnologia em Metalurgia, Materiais e Mineração. 2018. Vol. 15, No. 1. pp. 22–30.
5. Fowler A. C., Scheu B. A theoretical explanation of grain size distributions in explosive rock fragmentation. Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences. 2016. Vol. 472, Iss. 2190. DOI: 10.1098/rspa.2015.0843
6. Brown W. K., Wohletz K. H. Derivation of the Weibull distribution based on physical principlles and its connection to the Rosin-Rammler and lognormal distributions. Journal of Applied Physics. 1995. Vol. 78, Iss. 4. pp. 2758–2763.
7. Simonov P. S. Features of determining average dimension and yield of oversizes under blasting in open pit mines. GIAB. 2017. No. 4. pp. 320–327.
8. Mohamed F., Riadh B., Abderazzak S., Radouane N., Mohamed S. et al. Distribution Analysis of Rock Fragments Size Based on the Digital Image Processing and the Kuz-Ram Model Cas of Jebel Medjounes Quarry. Aspects in Mining & Mineral Science. 2018. Vol. 2, Iss. 4. pp. 325–329.
9. Isheyskiy V. A., Marinin M. A. Determination of rock mass weakening coefficient after blasting in various fracture zones. Engineering Solid Mechanics. 2017. Vol. 5, No. 3. pp. 199–204.
10. Isheysky V. A. About the grain-size distribution of blasted rock from different zones of destruction. Scientific Reports on Resource Issues. Freiberg : Technische University Bergakademie, 2014. pp. 202–207.
11. Jug J., Strelec S., Gazdek M., Kavur B. Fragment Size Distribution of Blasted Rock Mass. IOP Conference Series: Earth and Environmental Science. 2017. Vol. 95. 042013. DOI: 10.1088/1755-1315/95/4/042013
12. Galushko F. I., Komyagin A. O., Musatov I. N. Quality control of blasted rock based on the drilling and blasting parameters optimization. Vzryvnoe delo. 2017. No. 118-75. pp. 140–152.
13. Mohanty B. Rock Fragmentation by Blasting. London : CRC Press, 2020. 472 p.
14. Mikhaylov B. K., Okolzin E. P. Grain size distribution pattern analysis in blasted rock mass. Trudy VNIIneruda. Tolyatti, 1970. No. 29. pp. 20–30.
15. Baron L. I., Sirotyuk G. N. Rosin–Rummler equation applicability to calculating average fragment size in blasted rock mass. Vzryvnoe delo. 1967. No. 62-19. pp. 111–120.
16. Biryukov A. V., Repin N. Ya. Applicability of some distribution laws to studying fragmented mixtures. Trudy KuzPI. Kemerovo, 1970. Vol. 48. pp. 39–47.
17. Mitropolskiy A. K. Statistics computations. 2nd enlarged and revised edition. Moscow : Nauka, 1973. 576 p.
18. Stuart A., Ord J. K. Kendall’s Advanced Theory of Statistics. Vol. 1. Distribution Theory. 6th ed. Hodder Education Publishers, 1994. 700 p.

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