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.
References
Velez R.P., Vásquez-Santacruz J., Marín-Urías L., Vargas A., García-Ramírez P., Morales-de-la-Mora J., Vite-Morales A., Gutierrez-Domín-guez E. Efficiency Maximization of a JetPump for an Hydraulic Artificial Lift System. Scipedia. 2019. Vol. 35. No 1. 12 p. https://doi.10.23967/j.rimni.2018.11.002.
Panevnyk D.A. Simulation of a downhole jet-vortex pump’s working process. Nafta-Gaz. 2021. No 9. P. 579–586. https://doi.org/10.18668/NG.2021.09.02.
Zhu H. Y., Liu Q.Y., Wang T. Reducing the bottom-hole differential pressure by vortex and hydraulic jet methods. Journal of Vibroengi-neering. 2014. No 8. Р. 2224–2249.
Halim M.C., Hamidi H., Akisanya A.R. Minimizing Formation Damage in Drilling Operations: A Critical Point for Optimizing Productivity in Sandstone Reservoirs Intercalated with Clay. Energies. 2022. Vol. 15(1). No 162. 30 p. https://doi.org/10.3390/en15010162.
Yong H., Lihong Z., Deyong Z., Hualin L., Jinying W., Jinshen Y.,Yugang Z., Zhibin W. Study on structure parameters of reverse circulation drill bit secondary injector device based on injectors coefficient. SPE/IADS Asia Pacific Drilling Technology Conference. 22–24 August. Singapore. 2016. IADS/SPE–180539–MS. 9 p.
Chen X., Cao T., Yu K., Gao D., Yang J., Wei H. Numerical and experimental investigation on the depressurization capacity of a new type of depressure‑dominated jet mill bit. Petroleum Science. 2020. Vol. 17. P. 1602–1615. https://doi.org/10.1007/s12182-020-00472-8.
Sánchez-Rosas M., Casillas-Navarrete J., Jimenez-Bernal J.A., Kurdyumov V.N., Medina A. Experimental and numerical study of submerged jets from pipes of different wall thicknesses for Re < 1. Revista mexicana de física. 2020. Vol. 66. No. 1. P. 69–76. https://doi.org/10.31349/RevMexFis.66.69.
Sheha A.A., Nasr M., Hosien M.A., Wahba E.M. Computational and Experimental Study on the Water-Jet Pump Performance. Journal of Applied Fluid Mechanics. 2018. Vol. 11. No. 4. P. 1013-1020. https://doi.org/10.29252/jafm.11.04.28407.
Xu K., Wang G., Zhang L., Wang L., Yun F., Sun W., Wang X., Chen X. Multi-Objective Optimization of Jet Pump Based on RBF Neural Network Model. Journal of Marine Science and Engineering. 2021. Vol. 9. No. 236. 18 p. https://doi.org/10.3390/jmse9020236.
Melnikov A.P., Buglov N.A. Parameter substantiation of supra bit jet pump for productive formation opening. Socar Proceeding. 2021. Vol. 2. P. 112-118. https://doi.org/10.21285/2686-9993-2021-44-4-433-440.
Xu S., Wang J., Cai B., Cheng H., Ji B., Zhang Z., Long X. Investigation on cavitation initiation in jet pump cavitation reactors with special emphasis on two mechanisms of cavitation initiation. Physics of Fluids. 2022. Vol. 34. No. 1. 12 p. https://doi.org/10.1063/5.0075099.
Zi H., Zhou L., Meng L.Prediction and analysis of jet pump cavitation using Large Eddy Simulation. Journal of Physics Conference Series. 2015. Vol. 656(1):012142. 5 p. https://doi.org/10.1088/1742-6596/656/1/012142.
Panevnyk D.O. Determination of a jet pump characteristics during its asymmetric rotation in a well. Scientific bulletin Ivano-Frankivsk national technical university of oil and gas. 2021. Vol. 2(51). P. 55–65. https://doi.org/10.31471/1993-9965-2021-2(51)-55-65. [іn Ukrainian]
Evesham H.A. The History and Development of Nomography. London: Docent Press, 1982. 267 p.
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