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Dynamic Optimization of a Polymer Flooding Process Based on Implicit Discrete Maximum Principle
Joint Authors
Lei, Yang
Li, Shurong
Zhang, Xiaodong
Zhang, Qiang
Guo, Lanlei
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-23, 23 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-08-27
Country of Publication
Egypt
No. of Pages
23
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 some inequality constraints as polymer concentration and injection amount limitation.
The optimal control model is discretized by full implicit finite-difference method.
To cope with the discrete optimal control problem (OCP), the necessary conditions for optimality are obtained through application of the calculus of variations and Pontryagin’s discrete maximum principle.
A modified gradient method with new adjoint construction 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. Dynamic Optimization of a Polymer Flooding Process Based on Implicit Discrete Maximum Principle. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-23.
https://search.emarefa.net/detail/BIM-1029524
Modern Language Association (MLA)
Lei, Yang…[et al.]. Dynamic Optimization of a Polymer Flooding Process Based on Implicit Discrete Maximum Principle. Mathematical Problems in Engineering No. 2012 (2012), pp.1-23.
https://search.emarefa.net/detail/BIM-1029524
American Medical Association (AMA)
Lei, Yang& Li, Shurong& Zhang, Xiaodong& Zhang, Qiang& Guo, Lanlei. Dynamic Optimization of a Polymer Flooding Process Based on Implicit Discrete Maximum Principle. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-23.
https://search.emarefa.net/detail/BIM-1029524
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1029524