Accounting the heterogeneous waterflooding of the near-well drainage area for coarse scale simulation of petroleum reservoir

A method for taking into account lateral flooding heterogeneity in the near-well area enclosed within a single coarse grid block containing the production well has been introduced. The algorithm has been designed for coarse-scale finite volume simulation of two-phase flow in the petroleum reservoir. It can significantly improve the accuracy of calculating the total well rate and water cut, as well as the average saturation in the near-wellbore grid block. The advantage of this method is that upscaled relative permeability functions can be modified functions derived from the simplified upscaling problem solutions that does not require significant computational cost assuming radial symmetry of the flow with a uniform waterflooding of the grid block. The efficiency of the method has been demonstrated by the example of the local problem for a single wellbore in the formation with inhomogeneous boundary conditions for the saturation and by the example of superelement simulation of the reservoir with the seven-spotted placement of wells with various flow rates.