Numerical Simulation of Water-Flooding Reservoirs Considering Permeability Time Variation Base on Mimetic Finite Difference Method

In this paper, we present a fully implicit mimetic finite difference (MFD) for absolute permeability time variation simulation. The MFD is a novel numerical discretization scheme that has been successfully applied to many fields and it is characterized by local conservation properties and applicability to complex grids. In our work, a new method to simulate permeability time variation properties based on mimetic finite difference method is put forward for physical properties time variation influencing the remaining oil distribution and reservoir development effect problems. Firstly, well test permeability is fitted, and a water flooding mathematical model considering the variation of permeability based on injected water time is proposed. The model is discretized using mimetic finite difference method, which is described in details. Finally, a fully implicit 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 reservoirs and can provide useful guidelines for further production optimization.