Determination of the State of Rock Mass by the Mathematical Modeling Method

The article discusses a method for finding the intensity of fracturing of a rock mass by mathematical modeling. To determine the frequency of fracturing, the unit circle direction segment method will be used, and for the concept of extrema, a diagram of fracture frequency in directions is constructed, which is divided into sectors by the directions of the fracture systems. When studying the intensity of fracturing for a rock mass of a section of the "Pshada-Bettinskoe [[CHECK_DOUBLEQUOT_ENT]] interfluve, a graph was constructed that is divided into sectors by the directions of the fracture systems. It was established that the intensity minima are at the boundaries of the sectors and are Lmin = 0.13, and the maxima are inside the sectors in the directions of the sums of vectors Lmax = 1.87 describing crack systems. As a result of the work, it was found that the rock mass of the section of the "Pshada-Bettinskoe"interfluve can be attributed to the third category of fracturing - medium-fractured (large-block massif). This model of fracturing of the rock mass will allow us to effectively solve the problems of rock mechanics. © Published under licence by IOP Publishing Ltd.