Research progress of pollutants transportation and diffusion modeling based on the random walk theory

This paper summarizes the necessity of research on simulation of the migration-diffusion of the contaminant based on random walk theory. Then it introduces the theory and application domain of random walk theory and compares three various kinds of random walk modes, analyzing the research statuses of the simulation of contaminant migration-diffusion based on random walk theory. The paper presents the problems in research process and conceivable development tendencies, and provides theory supporting to post-study.