最小曲率法井眼轨迹控制技术研究与应用

摘要

In order to further improve well trajectory calculation with minimum curvature method, a series of parametric equations are derived through mathematical analysis method in this article. These equations can directly calculate space coordinate, inclination angle, azimuth angle, instantaneous tool face angle, inclination angle varying rate, and azimuth angle varying rate of any well path point. The calculation of inclination angle and tool face angle is meticulously treated to overcome the defect of present equations. The influence of tool face angle on well trajectory variation is discussed, and the variation characteristics of inclination angle and azimuth angle in four typical conditions of preliminary tool face angle are analyzed. The calculation method presented can not only be used in the calculation of actual well trajectory, but also be used for well trajectory design, providing new ideas for optimizing plans. Besides, it can be used in well trajectory prediction and well trajectory control as well.%为进一步完善最小曲率法井眼轨迹计算方法,采用数学分析的方法,推导出了一系列参数方程,可用解析方法直接计算任意井眼轨迹点的空间坐标、井斜角方位角、瞬时工具面角、井斜角变化率和方位角变化率等.其中对方位角和工具面角的计算进行了数学处理,克服了现有计算公式的缺陷.讨论了工具面角对井眼轨迹变动的影响,并对4种初始工具面角典型状态下并斜角、方位角的变化特点进行了分析.该计算方法不但可以对实钻井眼轨迹进行计算,而且还可以用于井眼轨迹设计、井眼轨迹预测和井眼轨迹控制,为设计结果的优化提供新的思路.