渗流方程的三维粗化算法

本文提出了地下流体渗流问题的三维解粗化算法,在粗网格内流体压强分布用直接解法求解三维渗流方程,用这些解计算粗网格的等效渗透率,在流体流速大的区域仍采用精细网格的计算方法.用所得等效渗透率计算了粗化网格的渗流场的压强分布,结果表明渗流方程的三维粗化解非常逼近采用精细网格的解,但计算的速度比采用精细网格提高了100多倍.

3D Upscaling method of heterogeneous fluid in porous media

In this paper we have given a new upscaling method,i.e.if there are not resource or sink in the coarse grid blocks,the 3D solution of the fine grid blocks has been obtained by solving 3D fluid equations in porous media with direct method,and then the effective permeability of coarse grid blocks has been computed by the 3D solutions.We have also calculated the pressure distribution of the 3D heterogeneous fluid in porous media using the effective permeability of coarse grid blocks.The results show that the solutions of 3D upscaling method of 3D heterogeneous fluid in porous media are very approaching the solutions of adopting fine grid blocks,however,the computation speed of upscaling method is 100 times more than that adopting fine grid block method.