DocumentCode :
1864406
Title :
Dynamic optimization of polymer flooding with free terminal time based on maximum principle
Author :
Li, Shurong ; Lei, Yang ; Zhang, Xiaodong ; Zhang, Qiang ; Peng, Shaowen
Author_Institution :
Coll. of Inf. & Control Eng., China Univ. of Pet. (East China), Qingdao, China
fYear :
2012
fDate :
3-5 Sept. 2012
Firstpage :
888
Lastpage :
893
Abstract :
Polymer flooding is an important technology for enhanced oil recovery (EOR). In this paper, an optimal control model of distributed parameter systems (DPS) for polymer flooding is established, which involves the performance index as maximum of the profit, the governing equations as the seepage equations of polymer flooding, and some inequality constraints as polymer concentration and injection amount limitation. The injection polymer concentration and the terminal time of polymer flooding are chosen as control variables. For this distributed parameter optimal control problem (OCP) with free terminal time, a solution method based on maximum principle is proposed. Firstly, the free terminal time OCP of polymer flooding is transformed into a fixed final time problem by introducing a normalized time variable. Then through application of the maximum principle, adjoint equations and gradients of the objective functional are obtained to optimize the injection polymer concentration and the terminal time simultaneously. Finally, the numerical results of an example illustrate the effectiveness of the proposed method.
Keywords :
distributed parameter systems; gradient methods; hydrocarbon reservoirs; maximum principle; oil technology; optimisation; polymers; DPS; EOR; adjoint equations; distributed parameter systems; dynamic optimization; enhanced oil recovery; free terminal time; inequality constraints; injection amount limitation; injection polymer concentration; maximum principle; normalized time variable; objective functional gradients; optimal control model; performance index; polymer flooding; seepage equations; Equations; Floods; Mathematical model; Optimal control; Performance analysis; Polymers; Reservoirs; distributed parameter system; free terminal time; maximum principle; optimal control; polymer flooding;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Control (CONTROL), 2012 UKACC International Conference on
Conference_Location :
Cardiff
Print_ISBN :
978-1-4673-1559-3
Electronic_ISBN :
978-1-4673-1558-6
Type :
conf
DOI :
10.1109/CONTROL.2012.6334749
Filename :
6334749
Link To Document :
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