Author(s): Bo Qu; Paul S. Addision; Christopher T. Mead

Linked Author(s): P.S. Addison

Keywords: FBM-fractional Brownian motion; Non-Fickian; AFBM-Acceleratedfractional Brownian motion

Abstract: In recent year, the particle tracking technique has received more and more attention in modelling pollutant dispersion in fluids. The most popular modelling technique is traditional particle tracking method that only could model Fickian diffusion cloud. However, in oceanic surface, non-Fickian diffusion dispersion is observed by some researchers. A new particle tracking technique has been studied and used in practice (Ref[2]-[9]). However, recently by using real data in coastal water, the authors found in coastal water or oceanic surface, the Hurst exponent H is not restricted within the range 0 ～ 1. A new particle tracking method that generates non-Fickina diffusion by employing accelerated fractional Brownian motion (AFBM) has been studied and introduced in this paper. The work based on the idea suggested by Sanderson and Booth ([16]). This can produce superdiffusive behaviour for H >1.0. The numerical techniques to model the non-Fickian spreading observed in the real coastal data has been attempted successfully and the simulation results are encouraging comparing with the observed data and Wallingford simulation results.

DOI:

Year: 2001