摘要
在使用最小曲率法推导有关公式的过程中,涉及了大量的三角函数变换,过程有时很复杂,极易出现错误。为了解决这个问题,分析了井眼轨迹切线与井斜角和方位角之间的数学关系,利用井眼方向矢量给出了最小曲率法的矢量形式。这种矢量形式深刻地揭示了圆弧井段弯曲角、井眼曲率、坐标增量、井斜角和方位角之间的关系的数学实质,具有形式简洁和几何直观性。使用矢量形式的最小曲率法对井眼轨迹内插、完钻井段设计等问题进行了研究。结果表明,有关公式的推导过程非常简单,完全避免了复杂的三角函数变换,而且最终得到了计算公式更加简单。同时,还用实际算例进行了验算,证实了本文新公式的正确性。本文提出的矢量形式的最小曲率法新公式可以应用于与圆弧井段有关的井眼轨迹设计和计算问题中。
During the process of related formula derivation by the minimum curvature method ,a large number of trigonometric function transform is involved ,which results in complicated process and being easily to make mistake.In order to solve this problem,the mathematic relationship between well path tangent and hole devia- tion angle or azimuth is analyzed and vector form of the minimum curvature method is given through the vector in the hole direction.This form is simple and visual on geometry and it reveals the mathematic sub- stance of the relation between bend angle of curvic interval ,borehole curvature ,traverse ,hole deviation angle and azimuth.This method is applied to the research on interpolation of well path and design of drilled sec- tion.The result shows that the derivation process of the related formula is very simple with no complicated trigonometric function transform and the final formula for computation is simpler.After the checking computa- tions of the actual cases ,the new formula is proved right and it can be applied to well path design and computation related to the curvic intervals.
出处
《中外能源》
CAS
2014年第4期61-65,共5页
Sino-Global Energy
关键词
最小曲率法
圆弧井段
测斜计算
井眼轨道
钻井设计
minimum curvature method
curvic interval
deviational survey calculation
well track
drilling design
