P. Revol et al., INFILTRATION FROM A SURFACE POINT-SOURCE AND DRIP IRRIGATION .2. AN APPROXIMATE TIME-DEPENDENT SOLUTION FOR WET-FRONT POSITION, Water resources research, 33(8), 1997, pp. 1869-1874
Raats' [1971] steady state theory is here extended to provide an appro
ximate analysis of the transient pattern of wetting around a point sou
rce. The assumption that a steady state regime prevails behind the wet
front and the use of the Clothier [1984] and Philip [1984] theories o
n water movement along the streamlines allows an approximate transient
solution for surface point source infiltration to be developed. This
procedure was previously tested against absorption theory and laborato
ry experiments [Revel et al., 1995], but now this new analysis is eval
uated via a field test. The vertical elongating influence of gravity i
s found to be well predicted. Application of this analysis to design p
urposes is also mentioned. The role of the macroscopic characteristic
capillary length of unsaturated flow, lambda(c), is highlighted by thi
s approximate solution. Finally, we propose a method that allows estim
ation of lambda(c) from a point-source infiltration experiment.