近靶纠偏轨道设计问题的解析解

Analytic Solution of Approach Target Rectification Trajectory Design

摘要:

在钻井监测过程中，当前井底接近目标点时，纠偏轨道一般采用“线段-圆弧”形式来设计。建立了近靶轨道设计的数学模型，对4种求解组合给出了数学模型的解析解。阐述了解析解的一个应用：绘制解析解曲线图能够帮助计算机软件使用者做出更加合理的纠偏轨道设计。实际算例表明，解析解能够准确、快速地给出近靶纠偏轨道的设计方案，对于指导钻井监测工作有一定的指导意义。

Abstract:

In the process of drilling monitoring，when well bottom approaches the target point，rectification trajectory is generally designed with ‘line segment-arc method’. The mathematic model has been established, and analytic solutions of mathematic model are given for 4 solving combinations. One application of analytic solutions is illustrated: drawing graphics of analytic solutions can enable the user of computer software to design rectification trajectory rationally. Actual calculated cases indicated that accurate rectification trajectory could be quickly designed by analytic solutions, which has guiding significance in drilling monitoring.