Method of numerical modeling of rheological processes on the contour of single mine working

An analysis of the numerical model's parameters for saliferous rocks influence on the result of the stress-strain state prediction depending on the geometry of mine working under the conditions of using the Drucker-Prager creep model is presented in this paper. The model was realized by finite element method in Simulia Abaqus software package using visco-elastic-plastic geomechanical model of rock salt formations. The numerical model was carried out in the 2D plane deformation formulation with discretization of the considered area into quadrilateral elements. The study considered the averaged mining and geological conditions of transportation drift sinking in the underlying rock salt at the Palashersky section of the Verkhnekamsk potassium salt deposit. The parametric support of the rheological model is based on the results of instrumental observations of the convergence of the rock contour of a single mine working in similar conditions. The method of building a numerical model that ensures the absence of distortions for the stress-strain state prediction of the rock mass on the contour of the rock excavation made in rocks prone to the manifestation of rheological properties is described. It is established that the minimum size of the numerical model should be determined by the largest linear dimensions of the excavation and exceed it at least 16 times. The size of the finite element of the numerical model should be determined by the smallest radius of curvature of the surface and should be no more than one-sixth of its value. The finite element mesh in the vicinity of the rock excavation should consist of structured four nodal elements, and their edges should be oriented normal to the surface.

Keywords: saliferous bedrock, creep, numerical modeling, rheological model, finite element method, rock contour convergence, Drucker-Prager model.
For citation:

Belikov A. A., Beliakov N. A. Method of numerical modeling of rheological processes on the contour of single mine working. MIAB. Mining Inf. Anal. Bull. 2024;(1):94-108. DOI: 10.25018/0236_1493_2024_1_0_94.


The study was supported by the Russian Science Foundation, Project No. 23-17-00144.

Issue number: 1
Year: 2024
Page number: 94-108
ISBN: 0236-1493
UDK: 622.831; 624.121.54
DOI: 10.25018/0236_1493_2024_1_0_94
Article receipt date: 27.09.2023
Date of review receipt: 27.11.2023
Date of the editorial board′s decision on the article′s publishing: 10.12.2023
About authors:

A.A. Belikov1, Graduate Student, e-mail:, ORCID ID: 0000-0001-5051-0680,
N.A. Beliakov1, Cand. Sci. (Eng.), Assistant Professor, e-mail:, ORCID ID: 0000-0002-9754-501X,
1 Saint-Petersburg Mining University of Empress Catherine II, Saint-Petersburg, Russia.


For contacts:

A.A. Belikov, e-mail:


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