Purpose. Studying the behaviour of underground working and specifying the design of its support. Modelling of a tunnel is done in the three-dimensional problem statement due to the interaction between the mine rocks and excavation massif and excavation support was conducted using the convergence-confinement method. Moreover, methods were used developed to determine the factors intervening during the interaction of the rock and support and to establish a structural flowchart for the conduct of the tunnel. Two methods are used for defining the factors of interaction of the rock and support. They are computational analytical convergence-confinement method and numerical method based on Plaxis<^>2D software. Findings. Based on the results of the simulation at (PK-0 + 625) we can claim that the support with dimensions of 0,75 to 1 m + along with shotcrete with a thickness of 0,2 - 0,3 m, whose parameters are proved empirically, is reliable. Yielding of the construction recorded in the tunnel also testifies to the reliability of this support. Originality. The results obtained through the empirical method show that the proper support should correspond to type S3. Practical value. The results of the numerical simulation correspond to the data of the maximum vertical displacement, which makes 4,18 x 10<^>-3 m for the bed rock. This will allow obtaining possible decrease in tunnel outline, which makes properly 2,7 x 10<^>-3 m with a floor heave of 0,75 x 10<^>-3 m and the field of horizontal displacements of the order of 1,45 x 10<^>-3 m. As a result of the research, the problem of mass displacement is solved with higher technical and economic efficiency.

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