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定向钻孔施工阶段中，我们常会遇到当钻孔离靶点还有相当长的距离时，实际孔轴轨迹就已偏离了设计轨迹。怎样计算这一偏离造成的影响；怎样预测可能穿靶点；怎样选用合理的人工弯曲措施调整钻孔轨迹等等，均属控制计算问题。本文试图采用解析几何的方法，建立起靶区平面方程、直线孔段方程和圆弧孔段方程，然后求解它们的几何关系，如：钻孔与靶区的交点、实际轨迹与设计轨迹之间的夹角、可能穿靶点与设计靶点的距离等等。这样，可望提高定向孔施工中控制计算的精度和方便性。以利正确、有效地指导施工。
During the construction phase of directional drilling, we often encounter that the actual hole axis trajectory deviates from the design trajectory when the drilling hole still has a long distance from the target point. How to calculate the impact caused by this deviation; how to predict the possible wearing of the target; how to choose a reasonable manual bending measures to adjust the drilling trajectory, etc., are control calculation problems. This paper attempts to use the method of analytic geometry to establish the plane equation of the target area, the equation of the straight-line hole and the formula of the circular hole and then solve their geometric relations, such as the intersection of the hole and the target area, the actual track and the designed track The angle between the target and the target that may be worn, and so on. In this way, it is expected to improve the accuracy and convenience of control calculation in the construction of directional holes. Eli correct and effectively guide the construction.