The traditional fractional Brownian motion(FBM)model and the improved FBMINC model were analyzed. Based on these two models and the particle tracking model, an accelerated fractional Brownian motion(AFBM)particle tracking model was developed and used to simulate the diffusion of floating pollutants in oceans. The simulation results show that, compared with the traditional model, the AFBM particle tracking model is more reliable and has a wider scope of application, due to the wider range of the Hurst exponent.