Abstract: To bypass obstacles,a 2－D directional well,which can be drilled easily and has the low drilling cost,has many advantages.The constraint equation of determining where to bypass the obstacles and its solving methods are provided.The curve equation of obstacle boundary in the designed plane is established,and the established process and exact expressions for a typical model are given.The presented design principle and analytical procedure can apply to various well－path configurations and space obstacle models.A design example is finally given.

Key words: drilling theory, directional drilling, mathematical model, borehole, trajectory

摘要： 二雏绕障定向井具有容易施工和钻井成本低等特点.文中提出了确定绕障位置的约束方程及其求解方法,建立了设计平面内障碍物的边界方程,并结合典型的障碍物模型,给出了方程的建立过程和具体表达形式.所提出的设计原理和分析方法,适用于各种定向井剖面和空间障碍物模型,并给出了设计实例.

关键词: 钻井理论, 定向钻井, 数学模型, 井眼轨迹