Cluster analysis of fracturing in the deposits of decorative stone for the optimization of the process of quality control of block raw material

Abstract

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 clustergeometric 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.