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Original Paper

UDC 622.2:658.012.122:51.001.57 © E.A. Kuzin, 2022

ISSN 0041-5790 (Print) • ISSN 2412-8333 (Online) • Ugol’ – Russian Coal Journal, 2022, № 3, pp. 81-83

DOI: http://dx.doi.org/10.18796/0041-5790-2022-3-81-83





Kuzin E.A.1


1Committee of state construction supervision of Moscow, Moscow, 121059, Russian Federation


Authors Information

Kuzin E.A., Head of the Administration for control and supervision of metro, e-mail: eakuzin@mail.ru.


In order to control the stability of mines by determining the optimal shape and size of the cross-section, a mathematical model has been developed. On its basis, a control parameter is identified. Existing mines have two limiting cross-sectional shapes – rectangular and round. There are additional stress concentrators in rocks inside the corners of a mine that has a rectangular shape. The perimeter of the cross-sectional area of a mine, that has a round shape, is uniquely determined by one linear dimension – the height. In turn, for a mine that has a rectangular shape, the perimeter of the cross-sectional area is determined ambiguously by two linear dimensions: height and width. In terms of stability, the smaller a perimeter of the cross-sectional area, the more stable a mine. The constructed mathematical model made it possible to: 1) determine the conditions under which the minimum perimeter is ensured – this is a square shape; 2) the control parameter of round and square cross-sections is the height of mines.



Mine shape, Mine stability, Mine size, Mathematical model, Control parameter, Mine height, Mine cross-section, Stress concentrators.



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For citation

Kuzin E.A. Identification of the control parameter in determining the stable shape and dimensions of the mine cross-section. Ugol’, 2022, (3), pp. 81-83. (In Russ.). DOI: 10.18796/0041-5790-2022-3-81-83.


Paper info

Received February 1, 2022

Reviewed February 10, 2022

Accepted February 21, 2022


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