D. Renault et Ww. Wallender, INITIAL-INFLOW-VARIATION IMPACTS ON FURROW IRRIGATION EVALUATION, Journal of irrigation and drainage engineering, 122(1), 1996, pp. 7-14
One of the basic assumptions of the hydrological volume balance models
in surface irrigation implies that furrow inflow instantaneously incr
eases to a constant rate: the step-flow condition. Unfortunately this
assumption is not always met in the field. Inflow variation is mainly
due to the operations required to switch from one set to another, even
with an automated furrow irrigation system such as gated pipe. In tha
t regard, siphons are less sensitive to the operations and may be gene
rally considered as a step-how application system. Furthermore, the pr
esence of a flume at the upstream end of the furrow can also perturb f
low. The resulting gradual increase in flow reduces the stream advance
rate at the beginning of the run. However, we demonstrate that later
in the advance phase the velocity converges to the standard step-flow
solution. Generally, advance-phase evaluation models incorrectly attri
bute the front slowdown to a very high infiltration rate. Two models w
ere compared. The first, the Elliott and Walker model limited to the a
dvance phase, identifies a Kostiakov-Lewis infiltration function with
the constant term of infiltration set equal to zero. The second, the a
dvance linear velocity (ALIVE) model, identifies a Horton function fro
m the analysis of the advance rate. This study, based on analytical de
velopments and on 72 furrow irrigation events, shows that the Elliott
and Walker model is influenced by a non-step-inflow variation and unde
rpredicts the infiltration amount. In contrast, the ALIVE model propos
ed by the writers is not as sensitive to the initial behavior of the f
low, because it uses two-term rate functions for advance and infiltrat
ion.