Environmental Engineering Reference
In-Depth Information
∆
h
: total hydraulic head loss across the barrier.
⎡
⎤
⎢
⎥
1
⎢
⎥
Γ=
⎢
[16.3]
j
⎥
L
k
∑
i
⎢
⎥
⎣
⎦
i
=
1
i
with:
Γ: equivalent hydraulic permittivity of a layered barrier;
k
i
: hydraulic conductivities of the i-th layer;
L
i
: thickness of the i-th layer; and
j: number of layers.
⎡
⎤
⎢
⎥
1
⎢
⎥
Λ=
⎢
[16.4]
j
L
⎥
∑
i
⎢
⎥
n
D
⎣
⎦
i
=
1
i
with:
Λ : equivalent diffusivity of a layered barrier;
n
i
: porosity of i-th layer;
D
i
: diffusion-dispersion coefficient of the i-th layer; and
q/
Λ =
P
: Péclet number.
Consider:
cc
−
x
b
R
=
[16.5]
c
cc
−
0
b
with:
R
c
: relative concentration of the pollutant in the aquifer a distance
x
from the
upstream boundary of the landfill;
c
x
: aquifer concentration at distance
x
from the upstream boundary of the landfill;
c
b
: background concentration in the aquifer upstream the landfill.