关键词: 聚合物溶液, 抽油泵, 缝隙, 流量

Abstract: Laboratory test of rheological property of polymer solution shows that polymer solution rheological property is inline with power-law mode. According to non-Newtonian fluid mechanics theory and mathematical method, conbined with plunger moving property, the hypothesize fluid is imcompressive, hydraulic radius of flow of liquid in crevice is very little, and it is laminar flow, the flow is treated fixed continuous flow at every instant position of plunger, equation of motion and boundary condition were set up in condition of concentric and eccentric of pump barrel and plunger. Dimensionless coordinate, dimensionless velocity, crevice height of plunger and eccentric pump barrel matched were introduced, and analytical solution were given. Special case of rheological index n=1 were discussed, that velocity and flow rate equations were obtained agrees with completely crevice flow equations used both inside and outside the country. In addition, relation curves of leakage to pressure difference in condition of concentric and eccentric of pump barrel and plunger of Newtonian fluid and non-Newtonian fluid were plotted,the result is eccentric leakage bigger than concentric leakage in condition of identical other conditions provide theoretical basis for correct calculation of discharge coefficient for pumping well.

Key words: polymer solution, oil well pumping, crevice, flow rate