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1.0
v
= 0.5 cm/h
0.8
P
= 10
0.6
0.4
0.2
0
1.0
v
= 1.5 cm/h
0.8
P
= 30
0.6
0.4
0.2
0
1.0
v
= 3.0 cm/h
0.8
P
= 60
0.6
0.4
0.2
0
0
2
4
6
8 0 2
Pore Volumes (V/V
o
)
FIGURE 3.9
Relative concentration (
C
/
C
o
) versus pore volumes at
L
= 30 cm in a soil for
P
= 10, 20, and 60 (
v
=
0.5, 1.5, and 3.0 cm, respectively). Solid curves were obtained using the Brenner solution, open
circles using the Clearly and Adrian solution, and closed circles the Lindstrom et al. solution.
(From Selim and Amacher, 1997. With permission.)
the pore water volume in the soil column (
V
o
= Θ
L
). For all three pore water
velocities, the BTCs obtained using the Brenner solution occur between
those obtained by using solutions of Cleary and Adrian and Lindstrom et al.
As is indicated in Figure 3.7, deviation between the Brenner solution and the
other two solutions decreases as the pore water velocity or Peclet number
P
increases. For
P
= 10, the deviation was about 8%, whereas for
P
= 60 the devi-
ation was only 2%. Calculated BTCs for several values of the column Peclet
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