基于分形多孔介质三维网络模型的非混溶两相流驱替数值模拟

Numerical simulations of immiscible two-phase flow displacement based on 3D network model for fractal porous media

提出了一个描述多孔介质孔隙尺寸分布的三维分形网络模型,利用该模型对多孔介质中的非混溶两相流驱替进行了数值模拟,研究了孔隙尺寸分布分维Df和两相流黏滞比M对驱替前沿指进型的影响,结果表明指进型容量维数Dh随着孔隙尺寸分布分维Df以及黏滞比M的增大而减少,并通过曲线拟合得到了它们之间的定量关系.

In order to describe the pore scale fractal distribution, we present a 3D network model for fractal porous medium in this paper. According to the proposed model we simulate the immiscible two-phase flow displacement in a medium and study the viscous fingering pattern of displacement front influenced by the fractal dimension Df for pore size distribution and viscosity ratio M. The simulation results show that the capacity dimension Dh of the viscous fingering pattern decreases with Df and M increasing, and their quantitative relationship is derived by fitting the obtained data.