粘指的分形研究

FRACTAL STUDY OF VISCOUS FINGERING

通过分析,指出粘指的发生是界面不稳定性和多孔介质结构的随机扰动所致。利用标度变换,推导得出在孔隙的分形结构中界面的推移速度特别是存在有比通常理论给出高的推移速度。比较了粘指和DLA模型的相似性,指出可利用DLA模型研究粘指现象。

The instability of the interface and the anisotropic fluctuation from porous media are two requisites for viscous fingering. From the scaling transformation this paper derived the different velocities that the interface moved in fractal structure of porous media, especially there existed a higher velocity than one given by classical theories. After comparing similarities between viscous fingering and DLA, the author pointed out that DLA can be used to simulate the viscous fingering.