摘要
建立了三维水平井井眼轨迹的非线性多阶段动力系统.论述了该系统解的存在性及其最优控制的可控性和多解性.以均匀设计方法选初始点,并依此把允许区域分解为有限多个子域,在每个子域上构造了改进的Hooke-Jeeves优化算法.将它用于多口水平井的实际生产中,表明了本文给出的模型、算法及软件的正确性与有效性.
The nonlinear multistage dynamical system for 3D trajectory in horizontal wells is built.The existence of solution for this system and the controllability and the many solutions of optimal control problem are investigated.The uniform design method is used to select initial points.The admissible domain,based on initial points obtained,is partitioned into finite sub\|domains.A modified Hooke\|Jeeves algorithm is proposed to each sub\|domain.This algorithm is applied in practical design,and the results illustrate the accuracy and effectiveness of the model,algorithm and software.
出处
《高校应用数学学报（A辑）》
CSCD
北大核心
2003年第1期8-14,共7页
Applied Mathematics A Journal of Chinese Universities(Ser.A)
关键词
水平井
最优控制
拓扑优化
horizontal well
optimal control
topology optimization
