STUDY ON THE NEW MODEL OF THE ADVECTION-DISPERSION OF THE CONTAMINANT IN THE GROUNDWATER

Abstract

Recently as a new governing equation of solute transport, a fractional advection dispersion equation (fADE) has been proposed, which includes non-integer derivatives for the mass-transport phenomena in heterogeneous geologic media by Benson et al.(1998, 2000). Using this equation, heterogeneitycan be taken into account effectively without scale dependency. We solved the fADE numerically by thefinitc difference method, and compare with new experimental data. The data were taken in a sand box with Tohoku silica sand and 3% of NaCl solution. Breakthrough curves are obtained from the experimental result, and we found that the experimental result is essentially different from the ordinary Gaussian profiles and the order of derivative is about 1.5 for our experiments.