Refinement of methods for calculating the material flows of conveyor transportation systems in coal mines


Читать на русскоя языкеO.A. Agafonov1, N.B. Afonina2
1 South coal company, Moscow, Russian Federation
2 Platov South-Russian State Polytechnic University (NPI), Novocherkassk, Russian Federation

Russian Mining Industry №6 / 2023 р. 89-94

Abstract: Productivity of a mining enterprise is limited by the possibility of its transportation subsystem, which efficiency improvement is an urgent scientific and practical task. Studying the processes of formation and transformation of material flows allows us to clarify the design methodology of continuous haulage systems. The normative methodology of belt conveyors selection is based on treating the material flows as normally distributed random variables, with the point value, i.e. the irregularity coefficient, being used as the main indicator. There are doubts in methodological justification of such an approach. The normal law of distribution in the classical variant adequately describes a random variable changing within infinite limits, and real mine material flows via the conveyor lines are random variables with unilateral constraints. The majority of tasks on finding the design ranges of material flows can be solved using experimentally established distribution functions (or probability density functions) of random quantities of material flows. Based on the publications in recent years, as well as on our own experimental studies, it is proposed to describe material flows by piecewise linear probability density functions, in particular the triangular ones, and to summarize material flows on the basis of general theoretical provisions of classical probability theory. The paper solves a particular problem of finding an analytical solution of the sum of two random material flows defined by the triangular distribution laws and compares the results of numerical integration of the probability densities of the material flows.

Keywords: material flow in mine, forecasting methods, belt conveyor, material flow distribution density, material flow distribution function, summing-up of random material flows

For citation: Agafonov O.A., Afonina N.B. Refinement of methods for calculating the material flows of conveyor transportation systems in coal mines. Russian Mining Industry. 2023;(6):89–94. (In Russ.)

Article info

Received: 21.09.2023

Revised: 24.10.2023

Accepted: 24.10.2023

Information about the authors

Oleg A. Agafonov – Technical Director, South Coal Company, Moscow, Russian Federation; e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.

Natalia B. Afonina – Cand. Sci. (Eng.), Associate Professor of the Chair of Mining Engineering, Platov South-Russian State Polytechnic University (NPI), Novocherkassk, Russian Federation; e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.


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