Journal of Applied Mathematics

  • J. Appl. Math.
  • Volume 2012, Special Issue (2012), Article ID 987975, 20 pages.

Optimal Control of Polymer Flooding Based on Maximum Principle

Yang Lei, Shurong Li, Xiaodong Zhang, Qiang Zhang, and Lanlei Guo

Full-text: Open access

Abstract

Polymer flooding is one of the most important technologies for enhanced oil recovery (EOR). In this paper, an optimal control model of distributed parameter systems (DPSs) for polymer injection strategies is established, which involves the performance index as maximum of the profit, the governing equations as the fluid flow equations of polymer flooding, and the inequality constraint as the polymer concentration limitation. To cope with the optimal control problem (OCP) of this DPS, the necessary conditions for optimality are obtained through application of the calculus of variations and Pontryagin’s weak maximum principle. A gradient method is proposed for the computation of optimal injection strategies. The numerical results of an example illustrate the effectiveness of the proposed method.

Article information

Source
J. Appl. Math., Volume 2012, Special Issue (2012), Article ID 987975, 20 pages.

Dates
First available in Project Euclid: 3 January 2013

Permanent link to this document
https://projecteuclid.org/euclid.jam/1357178253

Digital Object Identifier
doi:10.1155/2012/987975

Mathematical Reviews number (MathSciNet)
MR2948161

Zentralblatt MATH identifier
1252.49032

Citation

Lei, Yang; Li, Shurong; Zhang, Xiaodong; Zhang, Qiang; Guo, Lanlei. Optimal Control of Polymer Flooding Based on Maximum Principle. J. Appl. Math. 2012, Special Issue (2012), Article ID 987975, 20 pages. doi:10.1155/2012/987975. https://projecteuclid.org/euclid.jam/1357178253


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