定向井抽油杆柱纵横振动模型及其诊断

提出了用于分析定向斜半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侧结果能较好吻合，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。

Longitudinal and Transverse Vibration Model of the Sucker Rod String in Directional Wells and its Application in Diagnosis

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.