摘要
提出了用于分析定向斜井抽油杆系统工况的新的三维模型，建立了有杆泵系统动力模型的基本方程和数值求解方法．应用微分几何和变分原理，将杆柱的动力方程表示成一组耦合的偏微分方程及相应的边界条件，由此建立的计算程序可以完成对定向井井下工况诊断和地面工况的预测．实例计算结果与现场实测结果能较好吻合，并通过实例计算讨论了用直井模型分析定向井所带来的较大误差．
This paper presents the derivation, and numerical solutions of a 3D dynamic model for analysing the behavior of sucker rod pumping installations in the deviated wells. Using differential geometry and variational methods, the rod dynamics in deviated wells is presented by the set of six coupled differential equations with their boundary conditions. The paper describes the fundamental assumptions and slinplifications which can be used in the numerical solution. A computer program based on the model is developed and applied to determine the downhole conditions and to predict the rod behavior in the deviated well. A number of wells are examined. Good agreement is shown by comparing the computed results with the field measurements.
出处
《同济大学学报（自然科学版）》
EI
CAS
CSCD
1995年第1期26-30,共5页
Journal of Tongji University:Natural Science
