Optimal Control of Polymer Flooding Based on Maximum Principle
Joint Authors
Lei, Yang
Li, Shurong
Zhang, Xiaodong
Zhang, Qiang
Guo, Lanlei
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-06-04
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Lei, Yang& Li, Shurong& Zhang, Xiaodong& Zhang, Qiang& Guo, Lanlei. 2012. Optimal Control of Polymer Flooding Based on Maximum Principle. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-20.
https://search.emarefa.net/detail/BIM-993906
Modern Language Association (MLA)
Lei, Yang…[et al.]. Optimal Control of Polymer Flooding Based on Maximum Principle. Journal of Applied Mathematics No. 2012 (2012), pp.1-20.
https://search.emarefa.net/detail/BIM-993906
American Medical Association (AMA)
Lei, Yang& Li, Shurong& Zhang, Xiaodong& Zhang, Qiang& Guo, Lanlei. Optimal Control of Polymer Flooding Based on Maximum Principle. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-20.
https://search.emarefa.net/detail/BIM-993906
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993906