Liners for Waste Containment Facilities - Environmental Geomechanics - page 474

⎛

P

⎞

e

⎜ ⎟

⎛ ⎞

⎜ ⎟

cc − qx ⋅

P

1 − e

⎝ ⎠

R =

x b

11 = − +

[16.7]

⎜ ⎟

c

cc − Q

⎝ ⎠

0 b 0

or

⎛

P

⎞

e

⎜ ⎟

⎛ ⎞

⎜ ⎟

cc
cc

− qx ⋅

P

1 − e

⎝ ⎠

[16.8]

0 x

=+ 1

⎜ ⎟

− Q

⎝ ⎠

0 b 0

Equation [16.8] can be represented in a simple form by Figures 16.19 and 16.20.

Figure 16.19. Steady-state pollutant concentration in the aquifers below landfills

The contaminant mass flux in the aquifer below the barrier at a distance x from
the upstream landfill side can be evaluated by the integration of equation [16.3]
along the horizontal direction (x axis):

1

⎛ ⎞ ⎛ ⎞ ⎛ ⎞

J q ⋅ x c q ⋅ x

1 − e

P

[16.9]

h

=+ 1 −− ⋅ + 1

b

1

⎜ ⎟ ⎜ ⎟ ⎜ ⎟

c ⋅ q Q c Q

⎝ ⎠ ⎝ ⎠ ⎝ ⎠

0 h 0 0 0 0