Application of fractional Brownian motion particle tracking model to coastal contaminant dispersion

The observations on non-Fickian phenomenon in coastal waters indicate that in the surface waters, the Hurst index H is not limited in the range of 0~1. In order to let Apparent Hurst exponent be greater than 1, an accelerated fractional Brownian motion is introduced based on the fractional Brownian motion. A new particle tracking technique is established to model the non-Fickian dispersion in coastal waters. The method of modeling the non-Fickian pollutant dispersion using particle clouds is studied. The comparison of observed data and the calcutation result using a traditional Fickian diffusion model from HR Wallingford Ltd in UK, shows that the model is feasible.