三维水平井井眼轨迹设计最优控制模型及算法

Model and algorithm for designing 3D trajectory in sidetracking horizontal wells

针对三维水平井井眼轨迹优化设计问题 ,首次建立了以非线性状态方程为主要约束条件的目标控制模型 .依该模型的特点 ,构造了改进的 Hooke-Jeeves优化算法 .为获得全局最优解 ,采用均匀设计方法选取初始点 .计算结果证明了模型、算法及研制软件的正确性与有效性 .而且具有计算时间短 。

The mathematical model for designing 3D trajectory in sidetracking horizontal wells is presented. The modified Hooke\|Jeeves algorithm is built for solving the model. The inital point is selected using the uniform design. The global optimum value can be gained. The results of computation show that the model and the algorithm are effective.