«Automation and Informatization of the fuel and energy complex»

Quasi-stationary thermal-hydraulic model of oil and oil products pipelines

UDC: 621.644
DOI: -

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, temperature distribution, quasi-stationary model, iterative methods

Annotation:

The article is a continuation of the work [1]. The general topic is an algorithm of calculating (simulating) fluid flows through a pipeline system of arbitrary topology in case of standard (rather slow) changes of flow parameters. The flow model built under these assumptions is called quasi-stationary. It reflects the specifics of oil supply systems with a high degree of adequacy. The developed algorithm is iterative. At first, relations are introduced into consideration that follow from the laws of momentum and mass conservation, to which the first part of the article is devoted. In some situations, such model appears sufficient enough to obtain the required results. However, when the fluid temperature change significantly affects the flow process, the law of energy conservation should be added to the model. In the algorithm it is achieved by introduction of one more iterative cycle, external to the previous ones. In an isothermal setting, the developed method can be useful for studying "cold" oil pipelines, oil product pipelines as well as for water supply systems, when an additive is injected into pipelines for one purpose or another periodically or simultaneously. Isothermal problem settings are not suitable for modeling heated oil pipelines and heat supply systems. The present article considers non-isothermal quasi-stationary processes. Due to the assumptions on which the quasi-stationary model is based, it is not required to use traditional models of continuum mechanics – partial differential systems. One of these assumptions is that the mixing zone at the boundaries of transported products batches is small compared to the batches themselves, and in a one-dimensional flow model it can be represented as a dot. It is natural to consider the proposed method as a generalization of the methods of the theory of hydraulic circuits for a certain class of non-stationary processes.

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