Mass transport is the process responsible for the movement of solutes and suspended
biomass in the saturated aquifer. It consists of two major processes: advection and
dispersion. Advective transport is a function of the average linear velocity (or pore
water velocity):
Where: |
V = pore water velocity (L/T) |
|
q = darcy velocity (L/T) |
|
n = effective porosity |
The pore water velocity is the specific discharge divided by porosity. In turn, the
specific discharge is a function of hydraulic gradient and hydraulic conductivity:
Where: |
q = specific discharge (L3/L2·T) |
|
K = hydraulic conductivity (L/T) |
|
dh = change in hydraulic head (L) |
|
dl = change in length (L) |
Hydraulic conductivity values range from 1.0 to 10-13 m/s for gravel to
unfractured metamorphic rocks respectively (Freeze and Cherry, 1979).
Dispersive transport is a mixing process that is a function of spatial concentration
gradients. The dispersion coefficient in Equation (2.1) is a function of two processes: molecular diffusion and mixing
due to pore water velocity variations. The equations calculating the longitudinal and
transverse dispersion coefficients are:
Where: |
Dl = dispersion coefficient in principal direction of flow
(longitudinal dispersion coefficient) (L2/T) |
|
Dt = dispersion coefficient perpendicular to direction of flow
(transverse dispersion coefficient) (L2/T) |
|
a l = longitudinal dispersitivity
coefficient (L) |
|
a l = transverse dispersitivity
coefficient (L) |
|
D* = effective diffusion coefficient (L2/T) |
|
V = pore water velocity (in principle direction) (L/T) |
The effective diffusion coefficient, D*, is the molecular diffusion coefficient
in water adjusted for porous media effects. The dispersitivity coefficients are a measure
of mixing effects caused by heterogeneity in the hydraulic flow field and are typically a
function of scale (Fetter, 1993).