T. Harter et Dx. Zhang, Water flow and solute spreading in heterogeneous soils with spatially variable water content, WATER RES R, 35(2), 1999, pp. 415-426
Although the spatial variability of water content is expected to be signifi
cant in heterogeneous, unsaturated media, its effect an solute transport ha
s been neglected in most stochastic analyses. In this work we develop, eval
uate, and numerically verify an analytical model describing the statistical
moments of water content, soil water flux, soil water velocity, and solute
spreading in the unsaturated zone under conditions of variable soil water
content. Results are presented for a wide range of soil conditions. It is s
hown that soil water content variability increases with soil water tension
and decreases with soil textural tortuosity parameter m. As expected, the w
ater content variability also increases with those of soil texture and satu
rated hydraulic conductivity. However, at or above field capacity (near sat
uration) the water content variability is generally negligible. The water c
ontent variability is very large under dry conditions, even if the soil is
relatively homogeneous. In the same soil, longitudinal macrodispersivity is
generally smaller when including than when neglecting the variability in w
ater content. Variable water content enhances longitudinal macrodispersivit
y only in soils with large horizontal anisotropy or soils with m < 2. In th
is case the enhancement is more significant in drier soils and at the early
stages of plume displacement (less than 10 lambda(f)). With travel distanc
e the longitudinal macrodispersivity in the presence of variable water cont
ent converges to that in the absence of it.