T. Vogel et al., Effect of the shape of the soil hydraulic functions near saturation on variably-saturated flow predictions, ADV WATER R, 24(2), 2000, pp. 133-144
Relatively small changes in the shape of the soil water retention curve nea
r saturation can significantly affect the results of numerical simulations
of variably saturated flow, including the performance of the numerical sche
me itself in terms of stability and rate of convergence. In this paper, we
use a modified form of the van Genuchten-Mualem (VGM) soil hydraulic functi
ons to account for a very small, but non-zero minimum capillary height, h(s
), in the soil water retention curve. The modified VGM model is contrasted
with the original formulation by comparing simulation results for infiltrat
ion in homogeneous soils assuming both constant pressure and constant flux
boundary conditions. The two models gave significantly different results fo
r infiltration in fine-textured soils, even for h(s)-values as small as -1
cm. Incorporating a small minimum capillary height in the hydraulic propert
ies leads to less non-linearity in the hydraulic conductivity function near
saturation and, because of this, to more stable numerical solutions of the
flow equation. This study indicates an urgent need for experimental studie
s that assess the precise shape of the hydraulic conductivity curve near sa
turation, especially for relatively fine-textured soils. For one example we
found considerable improvement in the predicted conductivity function when
a value of -2 cm for h(s) was used in the modified VGM model. (C) 2000 Els
evier Science Ltd. All rights reserved.