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The technique of fractal analysis of regularities in the fracturing formation for various deposits or their sections, which is based on the comparison of values of fractal dimensionality of the roses of fracturing, was developed. The groups of labradorite deposits were distinguished by index of fractal dimensionality, which allows developing standard technological solutions for each group in order to enhance the effectiveness of quality and productivity control over technological complexes. A map of spatial variability in fractal dimensionality of fracturing in the labradorite deposits of Ukraine was produced, the use of which will make it possible to increase efficiency of discovering new labradorite deposits, which will meet certain quality requirements The construction of this map will allow enhancing efficiency of the interpretation of conditions for the formation of particular deposits. The patterns of change in fractal dimensionality at the different structural levels were established and the methods for their prediction were developed, which will make it possible, by the results of exploring fractal dimensionality at one of the structural level, to predict their values for others to optimize the process of control over geological exploration and extraction operations. As a result of the performed experimental studies, the influence of fractal dimensionality of fracturing in the blast-hole drilling zone on the productivity of the process was proved. We created objective function of optimal process to control technological processes, based on geostructural and technological indices that were evaluated by generalizing index of fractal dimensionality. The objective function of optimal process of drilling the fractured array, which includes indices of fractal dimensionality of the drilling zone, was proposed.

Exploring the efficiency of applying fractal analysis for the process of decorative stone quality control