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Indexed by:期刊论文

Date of Publication:2009-07-01

Journal:APPLIED MATHEMATICAL MODELLING

Included Journals:SCIE、EI

Volume:33

Issue:7

Page Number:2992-3001

ISSN No.:0307-904X

Key Words:Optimal control; Multistage dynamical system; Non-differentiable optimization; Optimality conditions; Horizontal well

Abstract: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.