Purpose. The aim is to define the mathematical equation of coordinates of distinguished points of ground depression depending on the depth of broken workings based upon experimental data. Methodology. The work consists of theoretical and experimental chapters. In the theoretical chapter, depending on equation in use, principled approaches to defining distinguished points of ground depression are described. In the second chapter the position of distinguished points of ground depression as to the working face are determined based upon the observations; their statistical analysis is provided. Findings. The usage of exponential, logistic or tangent hyperbolic relation provides almost equal staging of ground depression process by its driving rate. Methods for processing experimental data for mathematical descriptions of these processes have been improved. Hypothesis for the influence of ground depression from the depth of broken workings on basin parameters was confirmed. Originality. Horizontal coordinate of distinguished points of ground depression depends on depth of broken workings in direct proportion. Practical value. Relations obtained considerably simplify engineering analysis while elaborating activities for sustainable protection of surface objects.

Purpose. To set the correlation ratio between the parameters of underworked rocks and earth surface displacement. Methodology. The techniques in use stipulate the selection of analytical relations to describe the curve of the ground depression. Characteristic stages of the ground depression and the corresponding parameters of displacement of underworked rocks are determined on the basis of these analytical relations. Using the results of known experimental observations linear and angular parameters are defined to characterize the ground depression and displacement of underworked rocks. Statistical analysis of the obtained data is carried out. Findings. The crowd conditions of cross-correlation connections are set between the angular and linear parameters of settling of the earth surface and moving of the earned additionally breeds. By basic influence defining the coordinates of characteristic points of settling of the earth surface is a depth of conduct of stopping. Constancy of angular parameters is set for the considered depths in an interval of 106 - 1195 m. Originality. The formation of the upper boundary of rock displacement with a break of their continuity under the influence of the active phase of ground depression is established and confirmed by the results of statistical analysis for the first time. Practical value. The obtained results allow predicting the stage of ground depression and the corresponding parameters of the displacement of underworked rocks.