MATHEMATICAL MODEL OF KINEMATIC PARAMETERS CONTROL OF MIXED FLOWS DURING THE WELL EJECTION SYSTEMS ROTATION
DOI:
https://doi.org/10.31471/1993-9981-2022-2(49)-95-102Keywords:
parameter control, remote monitoring, jet pump, ejection system, speed chart.Abstract
The main methods of controlling the characteristics of well jet pumps are analyzed. It was established that the current level of development of indirect methods of controlling the mode of operation of above-bit ejection systems does not take into account the possibility of rotation of the jet pump in the well, as a result of which the effectiveness of forecasting technological processes of drilling production wells is reduced. Taking into account the need to improve the efficiency of remote monitoring of the operating characteristics of above-bit ejection systems, a mathematical model for controlling the kinematic parameters of mixed flows in the flow part of a jet pump was developed and the regularities of the transformation of the velocity profile caused by the relative rotation of the working medium were established. In the process of mathematical modeling of the nature of the distribution of kinematic parameters, the differential equation of motion of an axisymmetric helical vortex flow is supplemented with an empirical relationship between the rotational speed and the radius of the flow. After integrating the equation of motion of the working medium, a theoretical velocity profile was obtained for the case of symmetrical and asymmetrical placement of the jet pump in the well. Theoretical plots of longitudinal velocities are characterized by values of axial and rotational velocity of mixed flows. Based on the analysis of the nature of the transformation of the distribution of kinematic parameters, the coefficient of unevenness of the speed plot was determined in the form of a ratio of their actual and theoretical values. The value of the coefficient of unevenness of the distribution of speeds increases with an increase in the speed of rotation of the jet pump and the angle of rotation of the flow by the guide elements. Forecasting the value of the coefficient of unevenness of the speed distribution allows for remote control of operating parameters during rotation of the jet pump in the well.
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References
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