定向井有杆抽油系统的数值模拟

NUMERICAL SIMULATION OF ROD PUMPING SYSTEM FOR DIRECTIONAL WELL

以Doty数学模型为基础，对定向井杆柱、液柱进行了受力分析，给出了描述定向井有杆抽油系统的数学模型；采用两步二阶显示差分格式对模型进行求解，得到了满意的结果。从而解决了定向井有杆抽油系统的数位模拟问题。同时指出了定向井数学模型与会在井数学模型的区别。从模拟结果看，定向并与直井的地面示功国和泵示功图均有较大的差异，因此在对定向井进行设计时要采用适合于定向井的数学模型。

Based on Doty mathematical model, this paper analyzes the forces exerted on rod string and liquld co1umn in directional well, presents a mathematical model for describing the rod pumping system for directional well; the solution of the model is satisfactory, so the problem of numerical simulation of rod pumping system for directional well is solved. This paper also shows the difference between the mathematical model of directional well and that of vertical well. The simulation results show that the surface dynamometer card and the pump dynamometer card of the directional well are largely different from that of the vertical well, therefore, the mathematical model suitable for directional well must be adopted when designing directional well.