ABSTRACT
In porous media, the mass transport equation is described by the classical advection and dispersion equation which can be written as (Bear, 1972)
R ∂c
∂t = −∇(vc) + ∇(D∇c) (3)
where c is the concentration and R is the retardation factor. In this equation, D represents the local hydrodynamic dispersion tensor and can be written as
Dij = (αT |v| + Dd)Iij + (αL − αT ) vivj|v| (4)
where αL is the longitudinal dispersivity, αT is the transverse dispersivity, Dd is the effective diffusion coefficient and Iij is the unit matrix.
