The driving of mine workings in strong dolomites at the “Internatsionalny” mine using the drill-and-blast method is complicated by gas-dynamic phenomena, which manifest as rock and gas outbursts. The presence of fracture zones and significant rock pressure in rock strata at depths exceeding 1000 m has predetermined the occurrence of secondary rock failure from the face of opening workings. The paper presents the results of modeling the stress-strain state of the mine working face in areas hazardous for gas-dynamic phenomena, typical for the geomechanical conditions of the “Internatsionalnaya” kimberlite pipe deposit. The stress-strain state modeling was performed using the finite element method in the domestic software package CAE Fidesys. Eighteen geomechanical scenarios were considered for the position of the mine working face at distances of 2, 4, and 6 m from intensive fracturing zones with thicknesses of 2, 4, and 6 m, both with and without gas present. All computational models were constructed in a three-dimensional formulation at a depth of 1500 m, with vertical stresses equal to 40 MPa, which corresponds to Professor A.N.Dinnik’s theory. Horizontal stresses were applied to the side faces of the computational models via forced displacements under the condition of equicomponent compression, corresponding to a lateral earth pressure coefficient 1. The parameters of an equicomponent or near-equicomponent stress field at the deep horizons of the “Internatsionalnaya” kimberlite pipe are confirmed both by instrumental measurements and by global experience in mining operations at depths exceeding 1000 m. The research results indicate that a safe gas-dynamic state of the rock mass can be achieved by creating a non-reducible advance zone, the width of which is recommended to be determined based on the physical-mechanical and structural characteristics of the mine working drive section.