基于全角半距法钻孔偏斜距离计算公式的推导

Deduction of Formula about Borehole Deflection Distance Based on Full-angle-half-distance Method

钻孔弯曲的偏斜距离是地质钻探工程质量的一项重要指标。介绍了钻孔弯曲及钻孔弯曲计算模型中最常用的全角半距法。通过基于三维坐标系的钻孔轴线上各测点的空间位置的描述,借助于立体几何的方法,推导出钻孔中任一深度处偏斜距离的计算公式,讨论了顶角和方位角的变化对偏斜距离的影响程度,给出了一计算实例。

Borehole bending deflection distance is an important quality index in geological drilling project. Borehole ben- ding and full-angle-half-distance method is introduced in this paper, which is most commonly used in borehole bending calculation model. By the describtion of the spatial position of each measuring point on borehole axis on basis of three-dimen- sional coordinate system and by means of three-dimensional geometric method, a formula about deflection distance in any depth of borehole is derived, and the influence degree of vertex angle and azimuth＇ s change to the deflection distance is discussed with a calculation example.