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井距计算是钻井轨道设计和控制中的一个基础理论问题,在定向钻井中有着广泛的应用.为了精确快速地进行井距扫描,提出了一种新的井距计算方法.基于空间圆弧和直线段组合的井眼曲线描述数学模型,建立了井眼轨迹坐标随井深变化的函数关系式,进而得到了参考井上扫描点(参考点)到比较井间的距离随井深变化的计算公式.利用函数极值原理和井距约束数学方程式,求得了参考点到比较井间的最近距离、法面距离和水平距离解析计算公式.这种方法可避免井距扫描分析中在比较井上多次插值计算,计算快速精确,能更好地满足定向钻井防碰扫描和轨道监控的需要.
Well spacing calculation is a basic theoretical problem in the design and control of drilling tracks and has been widely used in directional drilling.In order to accurately and quickly perform well spacing scanning, a new well spacing calculation method is proposed.Based on space arc and The mathematical model of the wellbore curve described by the straight line segment combination is established and the function formula of wellbore trajectory coordinate with the depth of the well is established and the formula for calculating the distance with the well depth from the reference well to the comparison well is obtained. Function extreme value principle and mathematical formula of wellbore constraint, the analytical formulas of the nearest distance, the normal distance and the horizontal distance between the reference point and the comparison well are obtained, which can avoid the multiple interpolation calculation , The calculation is fast and accurate, which can better meet the needs of collision avoidance scanning and track monitoring of directional drilling.