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聚合物驱是一种重要的提高原油采收率技术.针对聚合物驱的注入方案优化问题,建立了聚合物驱最优控制模型.该模型以利润最大为性能指标,以聚合物驱的渗流力学方程为支配方程,并以聚合物最大用量约束和聚合物注入浓度的上下限约束为不等式约束条件.各段塞间的注入浓度、段塞尺寸及驱油结束时间为该最优控制问题的优化变量.对于该分布参数最优控制问题,提出了一种变阶长迭代动态规划算法.首先引入标准化的时间变量,将原自由终端时间的聚合物驱最优控制问题转化为固定终端时间问题,然后采用经典的迭代动态规划算法求解,实现了注入浓度、段塞尺寸及驱油结束时间的同时优化,最后通过实例验证了所提出算法的有效性.
Polymer flooding is one of the most important technologies to improve oil recovery.In order to optimize the injection scheme of polymer flooding, a polymer flooding optimal control model is established. The model takes the maximum profit as the performance index and the polymer flooding The mechanical equation is dominated by the equation, and the upper and lower bounds of the maximum polymer dosage constraint and the polymer injection concentration are the inequality constraints. The injection concentration, plug size and flooding end time of each segment are the optimal control problems Optimization variables.For the optimal control of distributed parameters, a variable-length iterative dynamic programming algorithm is proposed.Firstly, a standardized time variable is introduced to convert the optimal polymer flooding control problem into a fixed terminal time problem , And then the classical iterative dynamic programming algorithm is used to solve the problem. Simultaneous optimization of injection concentration, slug size and flooding finish time is achieved. Finally, an example is given to verify the effectiveness of the proposed algorithm.