Justification of the values of shifting angles in the conditions of mining the reserves of the Verkhnekamskoe deposit of potassium-magnesium salts. Part 2. Determination of shift angles under conditions of complete undermining of the earth's surface based on an empirical approach. Comparative comparison of the obtained results. Shift angles under incomplete undermining

In addition to the first part of this study (MIAB. Mining Inf. Anal. Bull. 2026;(2-1):
61–84), an empirical approach to calculating the displacement angles during complete undermining of the earth's surface under the conditions of the Verkhnekamskoye potassium-magnesium salt deposit (VPMSD) is considered. An empirical model is established that allows the calculation of the displacement angle at a given point in time. When comparing the resulting systems of equations with currently used fixed values of boundary angles, as well as with the previously used method for determining the displacement angle proposed by M.P. Nesterov, the empirical dependence was selected as the most acceptable and convenient for practical use. For conditions of incomplete undermining of the earth's surface, due to the small number of observation stations suitable for analysis, a combined dependence is proposed, which is based on the empirical accounting of vertical deformations and the theoretical-empirical accounting of horizontal deformation. The obtained results of the study can be useful for improving the regulatory framework for the topic under consideration, as well as in engineering calculations related to determining the required sizes of safety pillars for objects on the earth's surface and with assessing the safety of buildings and structures located in the immediate vicinity of the boundaries of mining operations under the VPMSD conditions.

Shchegolkov Y. S. Justification of the values of shifting angles in the conditions of mining the reserves of the Verkhnekamskoe deposit of potassium-magnesium salts. Part 2. Determination of shift angles under conditions of complete undermining of the earth's surface based on an empirical approach. Comparative comparison of the obtained results. Shift angles under incomplete undermining. MIAB. Mining Inf. Anal. Bull. 2026;(5):155-172. [In Russ]. DOI: 10.25018/0236_1493_2026_5_0_155.

Yu.S. Shchegolkov, Chief Specialist, PJSC «Uralkali», 618426, Berezniki, Russia, e-mail: rabota.shegolkov@mail.ru.

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