**MINING WORKS**

*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

**Title**

**IDENTIFICATION OF THE CONTROL PARAMETER IN DETERMINING THE STABLE SHAPE AND DIMENSIONS OF THE MINE CROSS-SECTION**

**Author**

Kuzin E.A.^{1 }

^{1}Committee 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.

**Abstract**

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.

**Keywords**

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

**References**

1. Malli T., Yetkin M.E., Ozfirat M.K., Kahraman B. Numerical analysis of underground space and pillar design in metalliferous mine. *Journal of African Earth Sciences,* 2017, (134), pp. 365-372.

2. Rafiei Renani H. & Martin C.D. Modeling the progressive failure of hard rock pillars. *Tunnelling and Underground Space Technology,* 2018, (74), pp. 71-81

3. Deliveris A.V. & Benardos A. Evaluating performance of lignite pillars with 2D approximation techniques and 3D numerical analyses. *International Journal of Mining Science and Technology,* 2017, (27). pp. 929-936.

4. Mark C. & Agioutantis Z. Analysis of coal pillar stability (ACPS): A new generation of pillar design software. *International Journal of Mining Science and Technology*, 2019, (29), pp. 87-91.

5. Frith R. & Reed G. Coal pillar design when considered a reinforcement problem rather than a suspension problem. *International Journal of Mining Science and Technology*, 2018, (28), pp. 11-19.

6. Tyupin V.N. Identification of dynamically stable dimensions of fractured stressed rock outcrops in room-and-pillar mining systems.*Vestnik Zabajkal?skogo gosudarstvennogo universiteta,* 2016, (22), pp. 31-39. (In Russ.).

7. Khalkechev R.K. & Khalkechev K.V. Mathematical modeling of non-uniform elastic stress field of a rock mass with crystalline block structure. *Gornyj zhurnal*, 2016, (3), pp. 200-205. (In Russ.).

8. Khalkechev R.K. & Khalkechev K.V. Management of fracture selectivity in crushing and milling of geomaterials based on similarity and dimensional methods in fracture dynamics. *Gornyj zhurnal*, 2016, (6), pp. 64-66. (In Russ.).

9. Khalkechev K.V. A system approach to development of mathematical support for GIS avalanche zoning based on the stress-and-strain state of snow on the slopes of mountainous areas. *Ustojchivoe razvitie gornyh territorij*, 2020, (12), pp. 88-93. (In Russ.).

10. Khalkechev K.V. A non-linear mathematical model of fracturing dynamic system in minerals of coal-bearing rocks. *Ugol*’, 2019, (10), pp. 92-94. (In Russ.). DOI: 10.18796/0041-5790-2019-10-92-94.

11. Kuzin E.A. & Khalkechev K.V. Mathematical model to define a stable shape of a polycrystalline pillar in coal-bearing rocks. *Ugol*’, 2020, (2), pp. 22-25. (In Russ.). DOI: 10.18796/0041-5790-2020-2-22-25.

12. Kuzin E.A. & Khalkechev K.V. Determination of governing spatial and geometric parameters of stable mine workings. *Ugol*’, 2020, (9), pp. 65-67. (In Russ.). DOI: 10.18796/0041-5790-2020-9-65-67.

**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*