Abstract:

An optimal control model is presented for determining the best injection strategies of polymer flooding in enhanced oil recovery.The performance criterion of the optimal control problem（OCP）is the profits gained from oil recovered over a given time，which subjected to the nonlinear partial differential equations of porous media flow，integral inequality constraints and boundary constraints of control variables.The adjoint problem of the OCP and the gradient of the objective functional are derived by using the necessary conditions of optimal control for a 2-D distributed parameter system.A gradient based method is given for solving the OCP numerically and the results of a study case illustrate the effectiveness of the proposed method.