关键词: 最优控制, 伴随方程, 聚合物驱, 注入策略

Abstract: Optimal control methods provide an effective way to determining the best polymer injection strategies to maximize the profits from oil recovery.The objected oriented design and implementation details are presented for the numerical solution of the optimal control problem，which involves the sub problems of reservoir simulation，adjoint equation and nonlinear programming.The polymer flooding model is discretized in a full implicit scheme and the derived nonlinear equations are handled by Newton-Raphson method，in order to construct the adjoint equations during the solution of forward model.An example of three-dimensional polymer injection problem is solved illustrating the practicality and efficiency of the realized algorithms.

Key words: optimal control, adjoint equation, polymer flooding, injection strategies