Abstract: Since physical properties time variation influences the remaining oil distribution and reservoir development effect, a new method to simulate permeability time variation properties based on mimetic finite difference method is put forward. Firstly, well test permeability is fitted, and a water flooding mathematical model considering the variation of permeability based on scouring time of injected water is proposed. The model is discretized using mimetic finite difference method, which is described in details. Finally, an IMPES scheme is used for the solution of the model and the influence of different permeability multiples on distribution of residual oil, pressure, and streamline is analyzed. The results show that, when the permeability changes with time, more water channeling can occur, inducing a negative effect on oil production. Compared to traditional reservoir characterization methods, this technology reflects real condition of the block and can provide useful guidelines for further production optimization.