聚合物驱抽油机井杆柱液体摩擦力的计算方法

假设聚合物驱抽油机井的产出液为幂律流体,应用幂律流体本构方程和动量守恒方程,建立了抽油杆柱与油管环形空间内流体的径向速度分布规律与抽油杆柱液体摩擦力的计算模型,应用拉格朗日乘子最优化算法求解代数方程组的数值解,并结合实例进行了计算。计算结果表明,抽油杆柱液体摩擦力随幂律指数、稠度系数和杆柱运动速度的增加而增加,新模型和目前牛顿层流计算模型相比,其数值大于层流模型的计算结果,与现场实际测试结果相符。

Computational method for rod string friction force of polymer flooding rod-pumping well

Suppose that the produced fluid of polymer flooding rod-pumping well is exponential fluid,the computational model of the radial speed distribution rule of the fluid inside the annulus between the sucker rod string and tubing and the sucker rod string fluid friction force is established by using the constitutive equation and momentum conservation equation of exponential fluid.The numerical solutions of algebraic equation unit are obtained by using Lagrange multiplier optimal algorithm and the computation is carried out in combination with the case study.The computational results show that the sucker rod string fluid friction force increases with the exponential index,consistency coefficient and its motion speed.The values of the new model is bigger than the computational results of Newton laminar flow model and accords with the actual field test results.