Gr. Musharrafieh et al., OPTIMIZING IRRIGATION MANAGEMENT FOR POLLUTION-CONTROL AND SUSTAINABLE CROP YIELD, Water resources research, 31(4), 1995, pp. 1077-1086
Irrigation strategies which maximize crop yield while preventing salt
from leaching to the groundwater or undesirable salt increases in the
root zone are computed by using a one-dimensional simulation/optimizat
ion management model. The included constraint equations maintain a wat
er volume balance and salt transport in the unsaturated zone. Implicit
finite difference forms of the unsaturated water flow equation (Richa
rds' equation), the diffusion-convection solute transport equation, fu
nctions describing the hydraulic properties of the medium, a root extr
action function, and other constraints are used. The model uses a larg
e discretization in time. A cyclic prediction and correction type of a
pproach is adopted to eliminate the inaccuracy that would otherwise re
sult from the coarse discretization. As a result of the procedure pres
ented, intercell water and mass flux rates in the optimization model h
ave the same accuracy as those in a more finely discretized simulation
model. The model is applied to a research farm in Huntington, Utah, w
here salty water is used for irrigation. In that process detailed soil
water and salt profiles are computed and spatially distributed moistu
re content and concentration constraints are satisfied.