Gorbatov Alexander Vyacheslavovich, Ph.D & D.Sc., Professor, Head of Department of Computer aided design and engineering design; National University of Science and Technology MISIS (NUST MISIS)
Kalashnikov Evgeniy Alexandrovich, Ph.D., Prof., National University of Science and Technology MISIS (NUST MISIS)
Petrov Andrey Yevgenievich, Ph.D & D.Sc., Professor of Department of Computer aided design and engineering design, National University of Science and Technology MISIS (NUST MISIS)
The article presents a network model of airflow in the mine based on the tensor method of calculating the behavior of systems when changing the structure, including emergencies. Analyze of changes in system behavior in the absence of possible disconnection, destruction of elements and subsystems on the network model increases security. The calculation of changes in airflows in the ventilation system when the structure changes, for example, when the shaft moves are blocked, is considered. Thread deviations from regulatory values show which areas may be where the limit may be breached. Calculating processes when a structure changes provides an invariant of duality, which is that the sum of metric tensors of dual networks remains constant when the structure changes. Process components in the system change as the structure changes with path transformation matrix. This is similar to converting the tensor component when the coordinate system changes. The tensor method allows the results of calculating air flows in the regular structure of the mine use to analyze air flows under possible options for changing the structure of the mine. To do this, you use path transformation matrixes that allow expresses flows in a new network through flows in the old network. The method provides calculation and analysis of design options when designing or analyzing the behavior of the system in accidents caused by the destruction of elements. Algorithms for calculating when dividing a network model of a real large-scale system into parts allow the use parallel calculations. The network model of the ventilation system can allow the calculation of air flows when changes in the structure of the mine not only as a result of accidents, but also in the creation of new trunks.
KEYWORDS: tensor method, the transformation matrix of paths, network models, duality invariant, mining, ventilation shafts.
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