SIMULATION OF A WELL JET PUMP WORKING PROCESS

Abstract

A mathematical model of the movement of the working flow in the flow part of the jet pump was developed based on the use of a radial function of a complex variable with a shifted leakage center. According to the accepted model, the working fluid radially asymmetrically exits from the displaced leakage center in all directions. The distance to the center of the leak has an inverse effect on the rate of spread of the working fluid. The offset turn of the radial function allows you to take into account the misalignment of the working nozzle and the mixing chamber due to poor manufacturing of jet pump parts. The vector of the complex potential with a shifted origin is defined as the difference of vectors whose origin is at the center of coordinates, and the endpoints characterize the initial and final positions of the shifted function. Using the equation of the potential of velocities and the stream function, the relationship for the complex potential of the plane-radial and spatial working flow with one-way and two-way displacement of the leakage center is obtained. The kinematic picture of the movement of the working medium is determined by a spatial hydrodynamic grid formed by equipotential surfaces and flow surfaces of leakage functions, which has the form of orthogonally placed coaxial spheres and radial meridional planes. The leakage displacement determines the deviation of the axis of the working nozzle from the axis of the displacement chamber of the jet pump. It is established that the velocity profiles of the radial flow with a displaced leak lose their similarity and the series of kinematic curves cannot be replaced by a single dimensionless dependence that would determine the flow kinematics regardless of the distance between the leak point and the inlet cross- section of the mixing chamber of the jet pump. The displacement of the leakage center has an inverse effect on the radial flow rate and decreases with increasing distance to the mixing chamber. As the value of the leakage displacement increases, the asymmetry of the velocity profile increases and its unevenness increases. Superimposition of the obtained characteristic function of the asymmetric radial flow and the vortex function of the complex variable allows to determine the structure of the mixed flow equation when simulating the rotation process of the jet pump in the well.