«Automation and Informatization of the fuel and energy complex»

Quasi-stationary hydraulic model of flows in oil and oil product pipelines

UDC: 621.644
DOI: 10.33285/2782-604X-2023-10(603)-59-69

Authors:

¹ National University of Oil and Gas "Gubkin University", Moscow, Russia
² Gazprom Promgaz, Vidnoye, Russia

Keywords: mathematical modeling, oil and oil product pipelines, hydraulic circuits, quasi-stationary modes, quick-operation management, product transfer by batches

Annotation:

In case of the operational control of oil and oil product pipelines, there arise various tasks – from the study of self-flowing modes to the development of protection measures from shock waves. The time scales in these problems can differ by orders of magnitude. Mathematical flow models largely depend on the time scale. As is known, the criteria of one-time scale cannot be applied when evaluating phenomena of another time scale. The article considers flows in oil and product pipelines that are typical for normal operational modes. These flows cannot be considered stationary. The density, viscosity, and component composition of the fluid change, however, the changes occur in the normal mode of operational control. The reasons for the changes can be flows maneuvering, drift of equipment state indicators, products properties behavior that are entering the system, incidents and repairs, volatility of external conditions (weather, consumer demand). A quasi-stationary model has been developed to simulate the transmission process under these circumstances. This model is designed to adequately describe the situation in the mode of the product transfer by batches, compounding, adding of anti-turbulent anti-corrosion additives. A special mathematical apparatus has been developed for studying quasi-stationary flows, which differs from traditional models of continuum mechanics. The algorithm implementing the method covers the case of pipeline networks of arbitrary configuration.

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