Geoscience Reference
In-Depth Information
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PROBLEMS
8.1
Calculate the capillary rise between two parallel glass plates spaced a distance,
d
, apart. The fluid
has a surface tension
σ
and a specific weight
γ
. Assume that the wetting angle is negligible.
8.2
Laboratory tests have revealed that, for a given sandy soil, the water content,
θ,
is related to the
suction in the water (
H
=−
p
w
/γ
w
) by the following empirical formula:
n
0
1
H
)
6
1400
θ
=
+
.
1400
0
where
n
0
is the porosity, and
H
is expressed in cm of water column. (a) Consider a field situation
with a stationary (i.e., not moving) horizontal water table at a depth of 1.0 m below the soil
surface. If the soil profile is in equilibrium (i.e., no flow) and evaporation is negligible, what is
the water content at 0.5 m below the soil surface? (b) Consider (several months later), again, a
horizontal water table at 1.0 m depth in that same soil profile. You know that the soil moisture
profile was originally (say one day earlier) in equilibrium (with the water table at some unknown
depth), but you suspect that the water table is now moving vertically. If the water content at the
soil surface is 0
.
5
n
0
, decide whether the water table is rising or falling. (There is no precipitation
and evaporation at the surface.) Prove your answer.
8.3
The following table shows the
F
-distribution of the independent domain approach for Adelaide
dune sand obtained by Talsma (1970).
F
is expressed as drainable porosity in percent per (10 cm)
2
.
