Construction of nomograms to determine the characteristics of the jet pump during its rotation in the well
DOI:
https://doi.org/10.31471/1993-9868-2022-1(37)-80-87Keywords:
pump, ejection system, additional relative pressure, ejection coefficient, nomography of equations, grid nomograms.Abstract
Nomographic dependences are constructed to determine the additional pressure of low-pressure and high-pressure jet pump during its asymmetric rotation in the well. To nomograph the equations of characteristics of the jet pump, a generalized dimensionless parameter in the form of the ratio of the squares of the circular velocity and the flow rate at the outlet of the working nozzle is introduced. The entered parameter is a function of the angular speed of rotation of the jet pump, the distance between the axes of the well and the jet pump, the flow rate and the radius of the working flow.This relationship is represented by a grid nomogram by introducing auxiliary variables into a given equation and decomposing it into four separate expressions, each of which has three variables. The resulting nomogram has the form of a combination of four quadrants. The nomogram for direct determination of the additional pressure of the low-pressure jet pump contains two binary fields and a single scale. In the process of
nomographing the characteristics of the high-pressure jet pump, a separate two-factor dependence between three variables, one of which is sought, was previously obtained. When constructing the statistical dependence, parabolic curves with a point of convergence at the origin and an exponent of more than one and hyperbolic curves with asymptotes in the form of coordinate axes were obtained. The alignment of nonlinear graphical dependences was carried out using a non-uniform (including logarithmic) scale. Indicators of the degree of the obtained statistical equation are determined by the angle of inclination of the aligned graphical dependences. Nomogram to determine the additional relative pressure of the high-pressure jet pump involves the use of two binary fields and a uniform vertical scale. Determination of additional pressure with the help of the obtained nomogram graphically consists in finding the coordinates of the fourth vertex of the constructed parallelogram.
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