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

Civil Engineering

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