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Stochastic optimal control and algorithm of the trajectory of horizontal wells

✍ Scribed by An Li; Enmin Feng; Xuelian Sun

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
226 KB
Volume
212
Category
Article
ISSN
0377-0427

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✦ Synopsis

This paper presents a nonlinear, multi-phase and stochastic dynamical system according to engineering background. We show that the stochastic dynamical system exists a unique solution for every initial state. A stochastic optimal control model is constructed and the sufficient and necessary conditions for optimality are proved via dynamic programming principle. This model can be converted into a parametric nonlinear stochastic programming by integrating the state equation. It is discussed here that the local optimal solution depends in a continuous way on the parameters. A revised Hooke-Jeeves algorithm based on this property has been developed. Computer simulation is used for this paper, and the numerical results illustrate the validity and efficiency of the algorithm.

πŸ“œ SIMILAR VOLUMES

Impulsive optimal control model for the
Impulsive optimal control model for the trajectory of horizontal wells
✍ An Li; Enmin Feng; Lei Wang πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 493 KB

This paper presents an impulsive optimal control model for solving the optimal designing problem of the trajectory of horizontal wells. We take fully into account the effect of unknown disturbances in drilling. The optimal control problem can be converted into a nonlinear parametric optimization by

Nonlinear dynamical systems of trajector
Nonlinear dynamical systems of trajectory design for 3D horizontal well and their optimal controls
✍ Yuzhen Guo; Enmin Feng πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 154 KB

The trajectory design of horizontal well is a optimal control problem of nonlinear multistage dynamical system. It is often sought using trial-and-error methods, but these methods depend on experience of designers and workers. In this paper, we create new optimal control model of nonlinear dynamical