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Original Paper

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


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




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


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.


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


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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 27, 2023


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