**UNDERGROUND MINING**

*Original Paper*

UDC 622.272:658.012.122:51.001.57© R.K. Khalkechev, K.V. Khalkechev, Yu.M. Levkin, S.U. Kuzmenko,

2023

ISSN 0041-5790 (Print) • ISSN 2412-8333 (Online) • Ugol’ – Russian Coal Journal, 2023, № 12, pp. 64-66

DOI: http://dx.doi.org/10.18796/0041-5790-2023-12-64-66

**Title **

**MATHEMATICAL SUPPORT OF THE INFORMATION SYSTEM FOR ANALYZING THE PROCESS OF FRACTURED ROOF DESTRUCTION IN COAL FIELDS**

**Authors**

Khalkechev R.K.1, Khalkechev K.V.1, Levkin Yu.M.2, Kuzmenko S.U.3

1National University of Science and Technology “MISIS” (NUST “MISIS”), Moscow, 119049, Russian Federation

2Moscow Polytechnic University, Moscow, 105064, Russian Federation

3 K.G. Razumovsky Moscow State University of Technologies and Management (the First Cossack University), Moscow, 109004, Russian Federation

**Authors Information **

**Khalkechev R.K.,** Doctor of Engineering Sciences, Professor at subdepartment Infocommunication technologies, e-mail: syrus@list.ru

**Khalkechev K.V.,**Doctor of Physico-Mathematical Science, Doctor of Engineering Sciences, Professor at subdepartment Geology and mine surveying, e-mail: h_kemal@mail.ru

**Levkin Yu.M.,** Doctor of Engineering Sciences, Professor, Member of the Russian Union of Surveyors, e-mail:* *lev5353@bk.ru

**Kuzmenko S.U., **PhD** **(Engineering), Teacher of University College of Information Technology, e-mail: svetik-semicvetik3@yandex.ru

**Abstract**

In order to develop mathematical support of information system for analyzing the process of fractured roof destruction in coal deposits, a mathematical model has been built. The main features of this model include the following. One of them points to the adequacy of the model, which takes into account the interaction of cracks with each other. The second feature is related to the result obtained in the form of a control parameter, which makes it possible to consider the mathematical model as the mathematical support of the information system. The following conclusions are drawn from the analysis of experiments: the crack propagation in geomaterials is caused by the interaction of the crack tip with an ensemble of moving microdefects under the influence of external loads; control parameters are the length and speed of crack propagation, the speed and distance between moving microdefects. Using the dimensional method, a nondimensional control parameter is obtained. Values of this parameter determine the processes of stable and unstable propagation of the crack system.

**Keywords**

Mathematical model, Information system, Control parameters, Crack propagation, Stability, Coal deposit, Mine roof, Dimensional method, Microdefects.

**References**

1. Khalkechev R.K., Khalkechev K.V. & Levkin Y.M. Mathematical model of the stress field in the pillars with due account taken of the main crack in coal fields.* Ugol’, *2023, (7), pp. 56-58. (In Russ.). DOI: 10.18796/0041-5790-2023-7-56-58.

2., Levkin Yu.M. & Khalkechev K.V. Mathematical model development of the stress field in the pillars stratified texture in coal deposits.* Ugol’, *2023, (8), pp. 84-86. (In Russ.). DOI: 10.18796/0041-5790-2023-8-84-86.

3. 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.). DOI: 10.17580/gzh.2016.03.05.

4. Khalkechev R.K. Multifractal modeling theory application of rock mass deformation and destruction processes with the aim of short -term forecasting sudden coal and gas outbursts.* Ugol’, *2019, (7), pp. 48-50. (In Russ.). DOI: 10.18796/0041-5790-2023-7-56-58.

5. Cherepanov G.P. Mechanics of brittle fracture. Moscow, Nauka Publ., 1974, 640 p. (In Russ.).

6. Wiens T. & Islam M.S. Using acoustic impacts and machine learning for safety classification of mine roofs. *International Journal of Rock Mechanics and Mining Sciences,* 2021, (147), 104912. DOI: 10.1016/j.ijrmms.2021.104912.

7. Wang Z., Sun W., Yang S., Tang Y. & Liu P. Asymmetrical distribution of roof microseismicity and its application to roof control of a deep longwall panel. *Journal of Applied Geophysics,* 2023, (215), 105142. DOI: 10.1016/j.jappgeo.2023.105142.

8. Levkin Y.M.** **The usage of remote sensing technology and mathematical modeling for the analysis of emergency mine workings.** ***Ugol’, *2022, (6), pp. 32-34. (In Russ.). DOI: 10.18796/0041-5790-2022-6-32-34.

9. Abousleiman R., Walton G. & Sinha S. Understanding roof deformation mechanics and parametric sensitivities of coal mine entries using the discrete element method. *International Journal of Mining Science and Technology,* 2020, (30), pp. 123–129. DOI: 10.1016/j.ijmst.2019.12.006.

10. Eremin M., Esterhuizen G. & Smolin I. Numerical simulation of roof cavings in several Kuzbass mines using finite-difference continuum damage mechanics approach. *International Journal of Mining Science and Technology, *2020, (30), pp. 157-166. DOI: 10.1016/j.ijmst.2020.01.006.

11. Wu R., Xu J.H., Li C., Wang Z.L. & Qin S. Stress distribution of mine roof with the boundary element method. *Engineering Analysis with Boundary Elements,* 2015, (50), pp. 39–46. DOI: 10.1016/j.enganabound.2014.07.009.

12. Kuzin E.A. & Khalkechev K.V. Determination of control spatial and geometric parameters of stable mine workings. *Ugol’,* 2020, No. 9, pp. 65-67. (In Russ.). DOI: 10.18796/0041-5790-2020-9-65-67.

**For citation**

Khalkechev R.K., Khalkechev K.V., Levkin Y.M., & Kuzmenko S.U. Mathematical support of the information system for analyzing the process of fractured roof destruction in coal fields.* Ugol’, *2023, (8), pp. 64-66. (In Russ.). DOI: 10.18796/0041-5790-2023-8-64-66.

**Paper info**

*Received October** **26, 2023 *

*Reviewed November 10, 2023*

*Accepted November 2**7, 2023 *