分形生长DLA模型及其在流体驱替中的应用

分形生长ＤＬＡ模型的出现，深化了人们对非平衡生长现象的认识，揭示和解决了一些传统方法难以解决的问题．各种改善和修正的ＤＬＡ模型的出现，丰富了人们对ＤＬＡ集团的认识，ＤＬＡ集团不再具有统一的无序分形各向同性的特征，而是和网格及模型有关．在ＤＬＡ模型中考虑粒子吸附几率后，可以反映流体驱替过程中界面张力效应，尤其是可用于模拟流体驱替过程中粘性指进现象的动力学演化过程，为描述粘性指进现象提供了一个新的、有效的手段．

DLA Models of Fractal Growth and Their Applications in Fluid Displacement

The emergence of DLA models of fractal growth deepens the researchers understanding of nonequillbrium growth phenomena and has revealed and solved a lot of problems which are too difficult to be solved by conventional methods. With the appearance of some modified DLA models,researchers come to know that the DLA clusters no longer have the uniform isotropic characters with the random structures but relate to the lattice and model details. The surface tension effects in fluid displacement can be described by taking the sticking probability of particles in DLA models into consideration. Especially,it can be used to simulate the dynamic evolution processes of viscous fingering in fluid displacement. The DLA model provides a new effective method for researchers to describe the viscous fingering.