OPTIMIZATION OF PUMPING FIXED VOLUME OF LIQUID ON TWO DIRECTIONS

• Main Authors: Golia I. Bikbulatova, Achmetsalim S. Galeev, Yulia A. Boltneva, Petr A. Larin, Rais N. Suleymanov, Oleg V. Filimonov
• Format: Article
• Language: Russian
• Published: Tomsk Polytechnic University 2019-01-01
• Series: Известия Томского политехнического университета: Инжиниринг георесурсов
• Subjects: pipeline; injection trajectory; pump; pressure; flow; сonsumption
• Online Access: http://izvestiya.tpu.ru/archive/article/view/57/29

The paper introduces a new approach to solving the problem of optimization of dynamic systems «pump+pipe network». In the article the volume of fluid admitted through each pipe in a given time is called the state of pumping. These volumes are taken as basic time-dependent functions describing injection. The system of functions defines an imaginary line – the trajectory of injection in the space, set by the planned volumes of injection through each pipeline. Regulation of flow in the pipelines by any devices, which create local hydrodynamic resistance, allows obtaining different trajectories. The impact of control devices is estimated by the openness coefficient of a pipeline or flow, defined as the ratio of flow in partially blocked pipeline to the flow in the fully open pipeline. The paper considers two options of injection, which demonstrated that different trajectories could meet its own energy consumption. The authors have analyzed the value, equal to the ratio of the pressure produced by the pump to the efficiency corresponding to this pressure, used in quantitative research and assessment of pump operation. It is shown that with increasing pressure or with decreasing feed the given value grows. Since the required pump energy depends on the shape of the trajectory, the energy becomes a functional. To find the minimums of this functional the variational methods are used. This is the way for finding extremal trajectory, where energy and time cost is minimal. A trajectory describing the optimal injection mode is a straight-line segment in an injection space, the ends of which correspond to the initial and final states of injection. To implement this process, the authors proposed the algorithm to determine which pipeline should be partly blocked, and calculate a measure of blocking, considering control device as the device that sets the local resistance coefficient. The main aim of the research was to determine the optimal way of pumping into two pipelines, in which the pump and the pipeline network are considered as a single interconnected system. Objects: pumps used to maintain reservoir pressure, two pipelines equipped with devices for controlling fluid flow. Methods: method for finding the optimal regime – calculus of variations. Results. Pump operation requires the least amount of energy and time, if the filling of the set volumes occurs simultaneously. The paper introduces the algorithm for determining the degree of blocking the pipelines for pumping in two pipelines.