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The article deals with issues related to the peculiarities of the formation and change in time of the stress-strain state of rock massifs as objects of active man-caused impact of engineering facilities, both surface and subsurface, hydrotechnical and road construction, mining operations, including development of mineral deposits by open-cut and underground methods. Arrays of rock formations have a wide range of properties that manifest themselves as hazardous natural geological events, and also under any technological influences to them, including the method of blasting destruction. The peculiarities of the behavior of such arrays consist in the combination of the characteristics of solid as elastic and plastic bodies, including brittle, and viscous-flowing bodies, and creep. Technological impact on the rock mass can lead to undesirable dangerous consequences both from the point of view of the object’s stability and safety, and the need for additional material costs to maintain the equilibrium in the new conditions. The identification of the potential area of permissible deformations and the conditions for the destruction of such an array of rocks, taking into account the time factor, is of practical interest for selecting effective parameters of mining technology that allow the prevention of dangerous undesirable consequences of destruction.