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出 处:《数学的实践与认识》2004年第3期62-72,共11页Mathematics in Practice and Theory
摘 要:讨论了两种典型的三维井眼轨道设计问题 .建立了设计的一般数学模型 ,利用空间矢量分析理论得到了约束变量间的解析表达式和井眼轨道计算式 .这种新方法避免了求解多维非线性方程组 ,设计计算简单精确 .该设计模型成功地解决了多约束条件下的三维井眼轨道设计这一难题 ,具有普遍适用性 .可广泛用于定向井、水平井和多目标井的井眼轨道设计 ,为井眼轨道控制提供了更为准确的理论依据 .Two typical problems in 3D well-path planning are discussed in this paper. The general mathematical models for 3D well-path planning are established, and the exact mathematical expressions of constraint variables and well-path formulae are derived using space vector theory. The new method avoids solving the constraint equation group, and the design calculation is simple and accurate. The models successfully solve the difficult multi-constraint problems in complex 3D well-path planning. They are of universal significance and can be widely used to plan all kinds of directional wells, horizontal wells and multiple target wells and may provide more accurate theory foundations for well-path control.
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