MATHEMATICAL MODELING OF DIRECTED DESTRUCTION OF CRYSTALLINE MEDIUMIN COMBINED MODE

Abstract

The work is devoted to mathematical modeling of the process of directional fracture of rock in the combined loading mode: when combining static stress of the medium to a level preceding intensive uncontrolled growth of microcracks in it, using non-explosive destructive mixtures (NDM), and with final splitting along a given plane by subdynamic stress buildup by pyroclines. This mode provides a slow (7-20 hours) build-up of stresses to a critical level, above which spontaneous development of cracks begins in crystalline media by the type of chain reaction with complete damage to blocks of valuable products, which is expected to be prevented based on the idea of using the subdynamic action of pyrocline as a trigger for the short-delayed formation of a main plane separating the block along a line previously drilled in the rock by wells or boreholes. The relevance of the work is due to the fact that in practice the indicated idea quite convincingly confirms its feasibility, but requires the development of an appropriate theoretical justification. Methodologically, this is propose don’the basis of structural and structureless models, with the use of reliably tested Weibull statistical distribution. Under the seconditions, a systematic complex approach isenvisagedtobuildmodelsof the process of development of the stress-strain statewith micro- and macro-fracture of crystalline rocks. The findings indicatethattheformation of cracks separating blocks should correspond to the anisotropy of rockmassifs. It is substantiated that, sincetheprocesses of growth of main crack sproceed according to different lawsintheusual and subdynamic formulation of the fracture problem, it is advisable todes cribe them analytically with a complex-system account of the synergistic action. Which willin crease the adequacy of the developed models