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

机译:基于隐式离散最大原理的聚合物驱工艺动态优化

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摘要

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.
机译:聚合物驱是提高采收率(EOR)的最重要技术之一。本文建立了一种用于聚合物注入策略的分布式参数系统(DPS)的最优控制模型,该模型涉及性能指标为利润的最大值,控制方程为聚合物驱的流体流动方程以及一些不等式约束为聚合物浓度和注射量限制。最优控制模型通过完全隐式有限差分法离散化。为了解决离散最优控制问题(OCP),通过应用变化演算和Pontryagin离散最大原理获得最优性的必要条件。提出了一种具有新的伴随构造的改进梯度方法,用于计算最佳注入策略。算例结果表明了该方法的有效性。

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  • 来源
    《Mathematical Problems in Engineering》 |2012年第8期|281567.1-281567.23|共23页
  • 作者单位

    College of Information and Control Engineering, China University of Petroleum, East China, Qingdao 266580, China;

    College of Information and Control Engineering, China University of Petroleum, East China, Qingdao 266580, China;

    College of Information and Control Engineering, China University of Petroleum, East China, Qingdao 266580, China;

    College of Information and Control Engineering, China University of Petroleum, East China, Qingdao 266580, China;

    Research Institute of Geological Science, Sinopec Shengli Oilfield Company, Dongying 257015, China;

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