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Date:2019-03-09

Indexed by:Journal Papers

Date of Publication:2015-07-15

Journal:APPLIED MATHEMATICAL MODELLING

Included Journals:EI、SCIE

Volume:39

Issue:14

Page Number:4022-4032

ISSN:0307-904X

Key Words:Horizontal well's path planning; Optimal switching control; Continuous state inequality constraint; Time-scaling transformation; Computational method

Abstract:In this paper, we consider a three-dimensional horizontal well's path planning problem, where the well's path evolves as a combination of several constant-curvature smooth turn segments. The problem is formulated as an optimal switching control problem subject to continuous state inequality constraints. By applying the time-scaling transformation and constraint transcription in conjunction with local smooth approximation technique, the optimal switching control problem is approximated by a sequence of optimal parameter selection problems with only box constraints, each of which is solvable by gradient-based optimization techniques. The optimal path planning problems of the wells Ci-16-Cp146 and Jin27 in Liaohe oil field are solved to demonstrate the applicability of the approach proposed. (C) 2014 Elsevier Inc. All rights reserved.