Predicting Land Subsidence over Underground Mining Excavations Using Approximate Mathematical Modelling: A Case Study of the Kalush-Golyn Deposit

Geodetic and Satellite Technologies for Engineering and Deformation Monitoring

Authors

First and Last Name Academic degree E-mail Affiliation
Mykola Hrynishak No mykola.hrynishak [at] nung.edu.ua Ivano-Frankivsk National Technical University of Oil and Gas
Ivano-Frankivsk, Ukraine
Volodymyr Mykhailyshyn No vovamychgeo [at] gmail.com Ivano-Frankivsk National Technical University of Oil and Gas
Ivano-Frankivsk, Ukraine
Oksana Gera Ph.D. oksana.hera [at] nung.edu.ua Ivano-Frankivsk National Technical University of Oil and Gas
Ivano-Frankivsk , Ukraine
Liubov Dorosh Ph.D. liubov.dorosh [at] gmail.com Ivano-Frankivsk National Technical University of Oil and Gas
Ivano-Frankivsk, Ukraine

I and my co-authors (if any) authorize the use of the Paper in accordance with the Creative Commons CC BY license

First published on this website: 28.08.2026 - 14:19
Abstract 

The article examines the problems and methods of predicting man-made land surface subsidence in zones influenced by underground mining excavations in salt deposits. An analysis of existing approaches to assessing vertical land surface displacements is carried out, and the potential of using mathematical approximation models (linear, exponential, and second-degree polynomial) is considered. Based on long-term geodetic monitoring data for ground benchmarks along profile lines of the "Novo-Golyn" mine (2021–2024), calculations of expected subsidence values are performed, and predicted subsidence trough maps are constructed. A comparative analysis of the predicted values against actual measurement results from 2025 is conducted. It has been shown that the choice of the optimal approximation function depends on the stage of the geodynamic process: the exponential model is most effective in subsidence-attenuation zones, the polynomial model in areas with increasing deformation rates, and the linear model under conditions of uniform surface settlement. The obtained results help improve the reliability of short-term forecasting and minimize infrastructure risks in mining territories.

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