Optimal control solving of polymer flooding based on real-coded genetic algorithm

Yang, Lei; Li, Shurong; Zhang, Xiaodong

doi:10.1109/wcica.2010.5554942

2010 8th World Congress on Intelligent Control and Automation 2010

DOI: 10.1109/wcica.2010.5554942

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Optimal control solving of polymer flooding based on real-coded genetic algorithm

Lei Yang

Shurong Li

Xiaodong Zhang

Abstract: This paper researches the optimization of injection strategies of polymer flooding in oil recovery. An optimal control problem (OCP) of a distributed parameter system (DPS) is established, in which the functional of performance index is profit maximum and the governing equations are the fluid equations in porous media. The control variables are chosen as the polymer concentrations and the switching time of a slug. The constraint conditions include boundary constraints and other inequality constraints. The meth… Show more

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Cited by 3 publications

References 10 publications

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Dynamic Optimization of a Polymer Flooding Process Based on Implicit Discrete Maximum Principle

Yang

Zhang

et al. 2012

Mathematical Problems in Engineering

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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.

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Dynamic Optimization of a Polymer Flooding Process Based on Implicit Discrete Maximum Principle

Yang

Zhang

et al. 2012

Mathematical Problems in Engineering

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Optimal Control of Polymer Flooding Based on Maximum Principle

Yang

Zhang

et al. 2012

Journal of Applied Mathematics

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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.

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Review of Field Development Optimization of Waterflooding, EOR, and Well Placement Focusing on History Matching and Optimization Algorithms

et al. 2017

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This paper presents a review of history matching and oil field development optimization techniques with a focus on optimization algorithms. History matching algorithms are reviewed as a precursor to production optimization algorithms. Techniques for history matching and production optimization are reviewed including global and local methods. Well placement, well control, and combined well placement-control optimization using both secondary and tertiary oil production techniques are considered. Secondary and tertiary recovery techniques are commonly referred to as waterflooding and enhanced oil recovery (EOR), respectively. Benchmark models for comparison of methods are summarized while other applications of methods are discussed throughout. No single optimization method is found to be universally superior. Key areas of future work are combining optimization methods and integrating multiple optimization processes. Current challenges and future research opportunities for improved model validation and large scale optimization algorithms are also discussed.

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Optimal control solving of polymer flooding based on real-coded genetic algorithm

Cited by 3 publications

References 10 publications

Dynamic Optimization of a Polymer Flooding Process Based on Implicit Discrete Maximum Principle

Dynamic Optimization of a Polymer Flooding Process Based on Implicit Discrete Maximum Principle

Optimal Control of Polymer Flooding Based on Maximum Principle

Review of Field Development Optimization of Waterflooding, EOR, and Well Placement Focusing on History Matching and Optimization Algorithms

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