№85-4

Study of the stability of a temporarily inactive quartz sand slope using numerical simulation

M. Dzoba1,   https://orcid.org/0000-0002-5159-0317

T. Kosenko1, https://orcid.org/0000-0001-9635-1427

О. Frolov1,    https://orcid.org/0000-0001-8053-2653

1National Technical University of Ukraine «Igor Sikorsky Kyiv Polytechnic Institute», Kyiv, Ukraine

Coll.res.pap.nat.min.univ. 2026, 85:45–55

Full text (PDF)

https://doi.org/10.33271/crpnmu/85.045

ABSTRACT

Purpose. Determining the stability of a temporarily inactive bench in the Sikhivsky quartz sand deposit quarry at various bench angles by numerical modeling its state using the PLAXIS 3D software package and comparing the results with data obtained through graphical constructions and limit equilibrium methods.

The methods. The study is based on the application of the finite element method to model the stress-strain state of the rock mass in PLAXIS 3D. The stability factor was calculated by gradual reducing the soil strength characteristics until the point of instability, with the determination of the Reached safety factor. Additionally, the obtained results were compared with data determined using the Bishop, Janbu, and Spencer methods in the Rocscience Slide software package, as well as using graphical construction methods.

Findings. The values of the slope stability factors (Reached safety factor) and the maximum possible displacements of the rock mass for various slope angles were determined. It was found that the results of numerical modeling in PLAXIS 3D practically coincide with the indicators obtained by the graphical construction method, which confirms the reliability and effectiveness of the applied approach. At the same time, it was established that as the slope angle increases, there is a regular decrease in the stability factor and an increase in massif deformations.

The originality. The nature of changes in slope stability parameters as a function of the slope angle has been established. A comprehensive comparison was conducted of the results of assessing the stability of quartz sand slopes obtained using numerical modeling in PLAXIS 3D and the limit equilibrium method.

Practical implementation. The use of the obtained results allows justification of safe slope parameters for bench faces during the design and operation of quartz sands quarries, and also contributes to improving the level of industrial safety in mining operations.

Keywords: slope stability, quartz sands, quarry, finite element method, numerical simulation, PLAXIS 3D, stress-strain state, stability factor, Reached safety factor, bench array.

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date of first submission of the article to the publication 04/16/2026
date of acceptance of the article for publication after review – 05/22/2026
date of publication  06/30/2026