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已知设计参数谱集表征了待钻轨道设计问题中已知设计参数与设计问题的解数之间的复杂数学关系,对于指导钻井设计人员快速完成设计工作具有较大的帮助,可以减少反复调整设计参数的次数,提高设计效率,但是通常难以用数学表达式进行描述。为了解决这个难题,提出了已知设计参数谱集的新概念,建立了谱集理论的研究框架。通过数理公式推导给出了谱集的数值计算方法,该算法能够求出谱集的边界曲线。算法参数影响因素分析表明,合理设置解的约束条件可以产生更合理的谱集,其中方位角约束条件对谱集的影响最大。实际算例应用表明,参照谱集进行井眼轨道设计可以避免钻井设计人员反复调整设计参数、计算无解的现象,极大地提高设计工作效率;同时,该算法也可用于钻井轨道设计软件的开发,具有较重要的实用价值。
The known design parameter spectrum sets characterize the complex mathematical relationship between the known design parameters and the solution numbers of the design problems in the design problem of the to-be-tracked orbit, which is of great help to guide the drilling designer in quickly completing the design work, and can reduce the repeated adjustment design The number of parameters to improve the design efficiency, but usually difficult to describe with mathematical expressions. In order to solve this problem, a new concept of the known design parameter spectrum set is proposed and the research framework of the spectral set theory is established. The numerical calculation method of spectral set is given through mathematical formula. The algorithm can get the boundary curve of spectral set. The analysis of the influence factors of the algorithm parameters shows that reasonable setting of the solution conditions can produce a more reasonable spectrum set, in which the azimuthal constraint condition has the greatest influence on the spectrum set. The practical example shows that the wellbore orbit design with reference to the spectrum set can avoid repeated adjustment of design parameters by drilling designers and solve the phenomenon of no solution, thus greatly improving the design efficiency. At the same time, the algorithm can also be used in the development of drilling track design software , With more important practical value.