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Date:2019-03-09

Indexed by:Journal Article

Date of Publication:2009-07-01

Journal:APPLIED MATHEMATICAL MODELLING

Included Journals:EI、SCIE

Volume:33

Issue:7

Page Number:3068-3075

ISSN:0307-904X

Key Words:Deviated well; Optimal control; Nonlinear programming; Hooke-Jeeves algorithm

Abstract:This paper presents a nonlinear piecewise smooth dynamical system of the trajectory of deviated wells according to engineering background. An optimal control model is established and the necessary conditions for optimality are proved via maximum principle. The optimal control problem is solved by a revised Hooke-Jeeves algorithm. The uniform design technique has been incorporated into the revised Hooke-Jeeves algorithm to handle the multimodal function. Computer simulation is used for this paper, and the numerical example illustrates the validity and efficiency of the algorithm. The procedure demonstrates its advantages in practical applications in Liaohe Oil Field. (C) 2008 Elsevier Inc. All rights reserved.