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Calculation of horizontally-projected length with minimum curvature method
Author(s): 
Pages: 82-84
Year: Issue:  5
Journal: PETROLEUM GEOLOGY AND ENGINEERING

Keyword:  最小曲率法圆弧水平投影长度测斜计算数学实验;
Abstract: 最小曲率法是钻井轨道设计和实钻井眼轨迹计算中最常用的计算方法,在最小曲率法中,假设井段是空间斜平面上的圆弧.在目前的最小曲率法计算井段水平投影长度时使用一种近似公式,用椭圆的弦长代替弧长.分析了近似计算公式的缺点,推导了水平投影长度的精确计算公式,用数学试验法给出了近似计算公式与精确计算公式的偏差规律.结果表明,近似计算公式只有在井段的井斜角差值和方位角差值都比较小时才成立,当差值大于10°时,偏差将超过千分之一.
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