A new method for simulation and analysis of displacement of fluids in porous media

Using the principle of diffusion-limited aggregation (DLA), a new model is introduced to simulate the displacement of one fluid by another in porous media. The results agree with experiments, apparently they do not leave out film-flow phenomena. Simultaneously, we also present a new numerical method to treat our results by the lattice Boltzmann method (LBM). All these will be helpful for analysing similar subjects.