UNDERGROUND MINING
Original Paper
UDC 622.272:658.012.122:51.001.57© R.K. Khalkechev, Yu.M. Levkin, K.V. Khalkechev, S.U. Kuzmenko, 2024
ISSN 0041-5790 (Print) • ISSN 2412-8333 (Online) • Ugol’ – Russian Coal Journal, 2024, № 1, pp. 61-63
DOI: http://dx.doi.org/10.18796/0041-5790-2024-1-61-63
Title
FUZZY MODEL OF THE SHAPE DETERMINING OF A STABLE PILLAR IN COAL-BEARING ROCKS
Authors
Khalkechev R.K.1, Levkin Yu.M.2, Khalkechev K.V.1, Kuzmenko S.U.3
1National University of Science and Technology “MISIS” (NUST “MISIS”), Moscow, 119049, Russian Federation
2Moscow Polytechnic University, Moscow, 105064, Russian Federation
3K.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
Levkin Yu.M., Doctor of Engineering Sciences, Professor, Member of the Russian Union of Surveyors, e-mail: lev5353@bk.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
Kuzmenko S.U., PhD (Engineering), Teacher of University College of Information Technology, e-mail: svetik-semicvetik3@yandex.ru
Abstract
In the presented article, a mathematical model has been developed that makes it possible to determine the shape of the stable pillars. On the one hand these pillars provide the stability of the mine workings, and on the other, the absence of unjustified losses of mineral resources. Unlike analogues, this model takes into account the presence of crystalline and amorphous textural components in the rocks that make up the pillar. Hereupon, fuzzy tensor analysis is used to determine the value of the external stress field, not classical tensor calculus. It allows to take into account the uncertainty degree of the values characterizing the deformation properties of inhomogeneities. As a result, using the fuzzy external stress field tensor, a mathematical expression was obtained that describes the shape of the pillar. This shape enables to realize a uniform stress distribution throughout the entire volume of rocks. The shape of the pillar is determined by the modal value of the fuzzy component of the external stress field.
Keywords
Mathematical model, Stability, Coal field, Pillar, External field, Fuzzy tensor, Stress field, Analog method.
References
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For citation
Khalkechev R.K., Levkin Y.M., Khalkechev K.V. & Kuzmenko S.U. Fuzzy model of the shape determining of a stable pillar in coal-bearing rocks. Ugol’, 2024, (1), pp. 61-63. (In Russ.). DOI: 10.18796/0041-5790-2024-1-61-63.
Paper info
Received October 2, 2023
Reviewed November 10, 2023
Accepted December 7, 2023
