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Original Paper

UDC 622.831+502.604 © A.V. Nikolaev, P.V. Maksimov, A.N. Zemskov, D.A. Konotop, S.A. Kuimov, M.L. Bartolomey, 2022

ISSN 0041-5790 (Print) • ISSN 2412-8333 (Online) • Ugol’ – Russian Coal Journal, 2022, № 10, pp. 60-65

DOI: http://dx.doi.org/10.18796/0041-5790-2022-10-60-65




Nikolaev A.V.1, Maksimov P.V.1, Zemskov A.N.2, Konotop D.A.1, Kuimov S.A.3, Bartolomey M.L.3

1 Perm National Research Polytechnic University, Perm, 614990, Russian Federation

2«PTUR» LLC, Perm, 614000, Russian Federation

3«VNII GALURGII» JSC, Perm, 614002, Russian Federation

Authors information

Nikolaev A.V., Doctor of Engineering Sciences, Associate Professor, Professor of the Mining Electromechanics Department, e-mail: nikolaev0811@mail.ru

Maksimov P.V., PhD (Engineering), Associate Professor of the Department of Computational Mathematics, Mechanics and Biomechanics, e-mail: pvmperm@mail.ru

Zemskov A.N., Doctor of Engineering Sciences, Associate Professor, Deputy General Director for Innovation and International Cooperation, e-mail: permzem28@mail.ru

Konotop D.A., Postgraduate student of the Department of Computational Mathematics, Mechanics and Biomechanics, e-mail: konotopda@gmail.com

Kuimov S.A., Chief Specialist

Bartolomey M.L., PhD (Engineering), Senior Researcher


The intensification of the extraction of potash ores, the widespread use of high-performance combine complexes, and the involvement in the development of gas-bearing formations posed a number of new and complex problems for the developers. A method that eliminates (reduces) errors of mine ventilation service workers when sampling and assessing gas hazards is a method of simulating (mathematical) model of gas-air mixture transfer in the mine workings system. For this purpose, a simulation model was developed to determine the nature of the distribution of gases in mine workings. Using the created computer model of the process of transferring the gas-air mixture, the main regularities of the distribution of methane in the mined-out space during the ventilation of dead-end workings were determined. The comparative evaluation of real measured data with the data obtained in the course of mathematical modeling, carried out in the work, showed a high degree of convergence. At the same time, it was found that the values ??obtained during sampling correspond to the average value of the gas concentration over the working section. Considering that the gas is unevenly distributed over the cross section, the applied method for assessing the gas situation in mine workings must be changed taking into account gas stratification.


Methane, Gases, Ventilation, Safety, Blind working, Modeling, Computational gas dynamics, Gas-air mixture.


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The reported study was funded by RFBR and Perm Territory, project number 20-45-596025.

For citation

Nikolaev A.V., Maksimov P.V., Zemskov A.N., Konotop D.A., Kuimov S.A. & Bartolomey M.L. Assessment of the adequacy of mathematical models and dependences of the distribution of the gas-air mixture within the dead-end development of a potassium mine. Ugol’, 2022, (10), pp. 60-65. (In Russ.). DOI: 10.18796/0041-5790-2022-10-60-65.

Paper info

Received June 20, 2022

Reviewed July 18, 2022

Accepted September 26, 2022


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