Rj. Lunn et R. Mackay, SOLUTION OF MULTISPECIES TRANSPORT IN THE UNSATURATED ZONE USING A MOVING POINT METHOD, Journal of hydrology, 168(1-4), 1995, pp. 29-50
Strongly advective contaminant transport can occur in highly permeable
, unsaturated media such as gravel, fractured clay and soil-containing
macropores. Standard numerical solution techniques are both highly in
accurate and unstable under such fast flow regimes. The moving point t
echnique has been applied to contaminant transport in groundwater and
shown to provide an accurate solution to the convection-dispersion equ
ation for advection-dominated transport. In this paper, the technique
has been adapted for the simulation of transport of multiple species t
hrough sorbing, dual porosity, unsaturated media. In order to model on
e-dimensional vertical transport, moving points are translated at the
effective retarded velocities, simulating convection and retardation o
f each species. The contaminant concentrations in the immobile region
and the changes in mobile concentrations due to diffusion, dispersion
and chemical reactions are then calculated by finite difference method
s on a fixed grid. The moving point model has been validated against a
vailable analytical solutions for solute transport. Comparisons have b
een made with standard finite difference solutions. The moving point m
ethod is shown to be considerably more accurate than the finite differ
ence solutions for convection-dominated flow.