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室内聚合物溶液流变性测试表明，大庆油田应用的聚合物溶液的流变性符合幂律模式。运用非牛顿流体力学理论和数理方法，结合抽油泵柱塞运动特点，假设液体为不可压缩的，液体在缝隙中流动的水力半径很小，呈层流流动，柱塞在每一位置的瞬间，流动做定常流处理，建立了泵筒与柱塞同心和偏心两种情况下运动方程和边界条件，引入无量纲坐标、无量纲速度和柱塞与泵筒偏心配合时的缝隙高度，并给出缝隙流流速、流量的解析解。讨论了流性指数ｎ＝１时的特殊情况，所得的流速、流量方程与目前国内外应用的缝隙流公式完全相同。此外，还作出牛顿流体和非牛顿流体在柱塞与泵筒同心和完全偏心的情况下，漏失量与压差关系图，在其他条件相同情况下偏心时漏失量大于同心时漏失量。为聚合物驱抽油机井排量系数的正确计算提供了理论依据。
The rheological properties of the polymer solution in laboratory show that the rheology of the polymer solution used in Daqing Oilfield conforms to the power-law model. Using non-Newtonian fluid mechanics theory and mathematical methods, combined with the pumping plunger movement characteristics, assuming that the liquid is incompressible, the liquid flow in the gap hydraulic radius is small, laminar flow, the plunger in each position of the moment, The flow is treated as steady flow, and the equations of motion and boundary conditions are established for concentric and eccentric pump cylinder and piston. The dimensionless coordinate, dimensionless velocity and the height of the gap when the plunger is eccentrically matched with the cylinder are introduced. Slit flow velocity, flow rate analytical solution. The special case of flow index n = 1 is discussed. The obtained flow velocity and flow equation are exactly the same as those used in current domestic and international applications. In addition, the newton fluid and non-Newtonian fluid in the plunger and the pump cylinder concentric and completely eccentric situation, the loss and pressure drop diagram, under the same conditions of other conditions under eccentric loss than concentric loss. It provides a theoretical basis for the correct calculation of displacement coefficient of polymer flooding pumping well.