Abstract: The definitions of the planar target and three-dimensional target were extended. The equations of coordinate increment of multi-target three-dimensional wellbore trajectory were established. A model for design of multi-target three-dimensional wellbore trajectory based on restricted optimization was developed. This model can be applied to optimize design of multi-target three-dimensional wellbore trajectory of directional and horizontal wells. The optimal variables contain not only well depth, the change rate of inclination angle, azimuth angle and overall angle, but also the type of segment, which makes optimal solution get better and meet the complicated design.

Key words: directional well, horizontal well, drilling, wellbore trajectory, optimization method, design model

摘要： 拓广了平面靶和三维靶的定义,建立了多靶三维井眼轨迹的坐标增量方程组,提出了基于约束优化方法的三维井眼轨迹设计新模型。该模型可用于解决多靶情形的三维定向井、水平井的井眼轨迹优化设计问题,优化参数不仅可以包含井深、井斜角、井斜方位角、井段曲率等井眼轨迹参数,还可以包含曲线井段的曲线类型,从而使优化设计结果更好,更适应复杂情况的设计问题。

关键词: 定向井, 水平井, 钻井, 井眼轨迹, 优化方法, 设计模型