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系统科学与数学 2008
Optimal Injection Strategies for Polymer Flooding Using Implicit Discrete Maximum Principle
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Abstract:
In order to maximize the profits gained from oil recovery of polymer flooding,a discrete optimal control model is established for determining the best injection concentrate of polymer solution. The discrete states equations are obtained from continuous model of polymer flooding by full implicit difference schemes.The necessary conditions of the optimal control problem are derived from implicit discrete maximum principle. A gradient based algorithm is presented to solve the problem numerically, in which the coefficient matrices of adjoint equations are directly constructed during the solution of states equations. A polymer flooding simulation example of three-dimensional model shows the practicality and efficiency of the proposed approach.