Asian Review of Environmental and Earth Sciences

The theoretical part of the research methodology is developed according to the scheme of subsidence of points on the earth's surface relative to the projection of the face. The curve of the trajectory of the subsidence of the earth's surface is divided by characteristic points at different stages of subsidence of the earth's surface. Such stages include: the beginning of the displacement of the earth's surface, the active stage of displacement, the end of the active stage and the attenuation of the processes of subsidence of the earth's surface. According to the goal and the design scheme, on the basis of experimental data, we determined the parameters corresponding to the location of a point on the earth's surface where it began to settle. In relation to the scheme under consideration, three well-known dependencies were analyzed to describe the subsidence curve of the earth's surface: the exponential equation, the hyperbolic tangent function, and the logistic curve. Based on them, it was established that the main influencing factor determining the boundary of the dynamic half-mold is the depth of mining operations, and the boundary angles are practically independent of this parameter.