Cluster analysis of fracturing in the deposits of decorative stone for the optimization of the process of quality control of block raw material
Keywords:cluster analysis, decorative stone, fracturing, blockiness, orientation of the front of mining works
As a result of the performed research into regularities of formation of fracturing of deposits of labradorite, we identified the main types of the samples describing the elements of occurrence, and formed the reference samples, the analysis of which allowed us to substantiate the optimal methods of cluster analysis for selecting the systems of fracturing.
To predict the direction of development of mining and management of the processes of extraction of decorative stone, we obtained analytical expression of dependency of the quantity of cracks on the strike azimuth in the form of polynomial of the second degree.
The possibility of forecasting the quantity of cracks, proved in the work, depending on the strike azimuth of vertical cracks based on the mathematical description of the given dependence by analytical expression will make it possible to increase the efficiency of planning of mining works at the enterprises that use technologies, the efficiency of which is determined by the vertical fracturing. These are, first of all, crack-formation technologies, for which anisotropy and defectiveness of array play a crucial role.
For the estimation of prospects of development of deposits, or separate sections, we proposed the new cluster-geometric technique of determining the blockiness and presented the example of its implementation for the conditions of Nevyrivskiy deposit of labradorites. In addition, the proposed technique makes it possible to estimate the probability of each of the obtained results, which significantly increases efficiency of risk assessment when designing mining works. It also allows increase in the degree of taking account of the genesis of fracturing and mutual angular correlations between the systems of fracturing, which provides for the possibility to increase the accuracy of assessment of quality of both entire deposit and its separate sections.
- Mosch, S., Nikolayew, D., Ewiak, O., Siegesmund, S. (2010). Optimized extraction of dimension stone blocks. Environmental Earth Sciences, 63 (7-8), 1911–1924. doi: 10.1007/s12665-010-0825-7
- Luodes, H., Sutinen, H. (2011). Evaluation and modeling of natural stone rock quality using ground penetrating radar (GPR). Geological Survey of Finland. Special Paper, 49, 83–90.
- Pershin, G. D., Ulyakov, M. S. (2015). Enhanced dimension stone production in quarries with complex natural jointing. Journal of Mining Science, 51 (2), 330–334. doi: 10.1134/s1062739115020167
- Kalenchuk, K. S., Diederichs, M. S., McKinnon, S. (2006). Characterizing block geometry in jointed rockmasses. International Journal of Rock Mechanics and Mining Sciences, 43 (8), 1212–1225. doi: 10.1016/j.ijrmms.2006.04.004
- Turanboy, A., Gökay, M. K., Ülker, E. (2008). An approach to geometrical modelling of slope curves and discontinuities. Simulation Modelling Practice and Theory, 16 (4), 445–461. doi: 10.1016/j.simpat.2008.01.007
- Alade, S., Muriana, O., Olayinka, H. (2012). Modified volumetric joint count to check for suitability of granite outcrops for diсередніхion stone production. Journal of Engineering Science and Technology, 7, 646–660.
- Elci, H., Turk, N. (2014). Rock mass block quality designation for marble production. International Journal of Rock Mechanics and Mining Sciences, 69, 26–30. doi: 10.1016/j.ijrmms.2014.03.004
- Ülker, E., Turanboy, A. (2009). Maximum volume cuboids for arbitrarily shaped in-situ rock blocks as determined by discontinuity analysis—A genetic algorithm approach. Computers & Geosciences, 35 (7), 1470–1480. doi: 10.1016/j.cageo.2008.08.017
- Fernández-de Arriba, M., Díaz-Fernández, M. E., González-Nicieza, C., Álvarez-Fernández, M. I., Álvarez-Vigil, A. E. (2013). A computational algorithm for rock cutting optimisation from primary blocks. Computers and Geotechnics, 50, 29–40. doi: 10.1016/j.compgeo.2012.11.010
- Mutlutürk, M. (2007). Determining the amount of marketable blocks of dimensional stone before actual extraction. Journal of Mining Science, 43 (1), 67–72. doi: 10.1007/s10913-007-0008-4
- Levytsky, V. H., Sobolevsky, R. V. (2014). Decorative stone block quality control based on surface digital photogrammetry. Scientific Bulletin of National Mining University, 6, 58–66.
- Sobolevskyi, R., Korobiichuk, I., Nowicki, M., Szewczyk, R. (2016). Using cluster analysis for planning mining operations on the granite quarries. 16 th International Multidisciplinary Scientific GeoConference Science and Technologies in Geology, Exploration and Mining, Book 1, 2, 263–270.
- Hammah, R. E., Curran, J. H. (1998). Fuzzy cluster algorithm for the automatic identification of joint sets. International Journal of Rock Mechanics and Mining Sciences, 35 (7), 889–905. doi: 10.1016/s0148-9062(98)00011-4
- Tokhmechi, B., Memarian, H., Moshiri, B., Rasouli, V., Noubari, H. A. (2011). Investigating the validity of conventional joint set clustering methods. Engineering Geology, 118 (3-4), 75–81. doi: 10.1016/j.enggeo.2011.01.002
- Turner, A., Kemeny, J., Slob, S., Hack, R. (2006). Evaluation, and management of unstable rock slopes by 3-D laser scanning. AEG, 404, 1–11.
- Popov, Ju. N. (1971). K metodike kolichestvennoj ocenki tektonicheskoj treshhinovatosti. Izvestija Tomskogo Ordena Trudovogo Krasnogo Znameni Politehnicheskogo instituta im. S. M. Kirova, 130–136.
How to Cite
Copyright (c) 2016 Ruslan Sobolevskyi, Natalia Zuievska, Valentyn Korobiichuk, Oleksandr Tolkach, Volodymyr Kotenko
This work is licensed under a Creative Commons Attribution 4.0 International License.
The consolidation and conditions for the transfer of copyright (identification of authorship) is carried out in the License Agreement. In particular, the authors reserve the right to the authorship of their manuscript and transfer the first publication of this work to the journal under the terms of the Creative Commons CC BY license. At the same time, they have the right to conclude on their own additional agreements concerning the non-exclusive distribution of the work in the form in which it was published by this journal, but provided that the link to the first publication of the article in this journal is preserved.
A license agreement is a document in which the author warrants that he/she owns all copyright for the work (manuscript, article, etc.).
The authors, signing the License Agreement with PC TECHNOLOGY CENTER, have all rights to the further use of their work, provided that they link to our edition in which the work was published.
According to the terms of the License Agreement, the Publisher PC TECHNOLOGY CENTER does not take away your copyrights and receives permission from the authors to use and dissemination of the publication through the world's scientific resources (own electronic resources, scientometric databases, repositories, libraries, etc.).
In the absence of a signed License Agreement or in the absence of this agreement of identifiers allowing to identify the identity of the author, the editors have no right to work with the manuscript.
It is important to remember that there is another type of agreement between authors and publishers – when copyright is transferred from the authors to the publisher. In this case, the authors lose ownership of their work and may not use it in any way.