Three-dimensional trajectory design for horizontal well based on optimal switching algorithms. (September 2015)

• Record Type: Journal Article
• Authors: Wu, Xiang; Zhang, Kanjian
• Is Part Of: ISA transactions. Volume 58(2015:Sep.)
• Page Start: 348
• Page End: 356
• Publication Date: 2015-09
• Subjects: Optimal control -- Horizontal well trajectory design -- Time-scaling transformation -- Smoothing technique -- Penalty function method; Engineering instruments -- Periodicals; Engineering instruments; Periodicals; Electronic journals; 629.805
• DOI: 10.1016/j.isatra.2015.04.002
• Languages: English
• ISSNs: 0019-0578

Abstract

Abstract: This paper considers a three-dimensional trajectory design problem for horizontal well. The problem is formulated as an optimal control problem of switched systems with continuous state inequality constraints. Since the complexity of such constraints and the switching instants is unknown, it is difficult to solve the problem by standard optimization techniques. To overcome the difficulty, by a time-scaling transformation, a smoothing technique and a penalty function method, an efficient computational method is proposed for solving this problem. Convergence results show that, for a sufficiently large penalty parameter, any local optimal solution of the approximate problem is also a local optimal solution of the original problem. Two numerical examples are presented to illustrate the efficiency of the approach proposed. Abstract : Highlights: The well trajectory design problem is formulated as an optimal control problem of switched systems. Based on the penalty function method, a computational approach is developed for solving the well trajectory design problem. The efficiency of the proposed algorithm is demonstrated by two simulation examples.