Abstract
Purpose is to develop and substantiate a mathematical model for forecasting of rock displacements around the development mine workings and optimization of techniques for their reinforcement. Methods. A comprehensive approach has been applied including numerical simulation; theoretical analysis; and experiments. Special attention has been paid to rock displacements based upon stress-strain state of the rock mass. The developed KMS-Ш software was used for the calculation helping model displacements and analyze the obtained data. Findings. Recommendations have been proposed to decrease a rock dilatancy coefficient achieved through correction of support parameters; mine working geometry; and control of rock deformation rate. It has been demonstrated that rock bolting use lowers significantly the intensity of the displacements. It has been identified that a decline in rock strength results in the increased failure zones; at the same time, the improved plastic properties minimize elastic energy accumulation reducing the displacement probability of the opposite crack surfaces. Originality. An algorithm has been developed forecasting displacements of the mine working peripheries taking into consideration the mining, geological, and engineering factors. A mathematical model has been represented to identify both elastic and non-elastic deformations in a border zone. The dependencies between border rock mass displacements, mine working depth, and rock strength have been defined. Practical implications. Determination of optimum parameters of rock strengthening helps minimize failure zones; better stability of mine workings; and reduce the possibility of dangerous geomechanical phenomena. Use of the proposed model makes it possible to improve mining efficiency owing to more accurate forecasting of displacements.