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论文类型：期刊论文
发表时间：2009-07-01
发表刊物：APPLIED MATHEMATICAL MODELLING
收录刊物：SCIE、EI
卷号：33
期号：7
页面范围：2992-3001
ISSN号：0307-904X
关键字：Optimal control; Multistage dynamical system; Non-differentiable optimization; Optimality conditions; Horizontal well
摘要：The goal of planning a horizontal well path is to obtain a trajectory that arrives at a given target subject to various constraints. In this paper, the optimal control problem subject to a nonlinear multistage dynamical system (NMDS) for horizontal well paths is investigated. Some properties of the multistage system are proved. In order to derive the optimality conditions, we transform the optimal control problem into one with control constraints and inequality-constrained trajectories by defining some functions. The properties of these functions are then discussed and optimality, conditions for optimal control problem are also given. Finally, an improved simplex method is developed and applied to the optimal design for well Ci-16-Cp146 in Oil Field of Liaohe, and the numerical results illustrate the validity of both the model and the algorithm. (C) 2008 Elsevier Inc. All rights reserved.