Application of the compartmental analysis theory to the studies of the kinetics of the rainfall infiltration in the unsaturated zone in Abadia de Goias
Ddr. Poli et Ch. De Mesquita, Application of the compartmental analysis theory to the studies of the kinetics of the rainfall infiltration in the unsaturated zone in Abadia de Goias, NUKLEONIKA, 44(4), 1999, pp. 609-618
The compartmental analysis was used for evaluation of kinetic parameters of
the rainfall infiltration and determination of ground water recharge in Ab
adia de Goias - Goiania-Brazil. A model containing 13 compartments was prop
osed to explain the water infiltration and the kinetics of the unsaturaded
zone. To validate the model, tracer injections were carried out at a repres
entative site of the region, at a depth of 50 cm, below the root zone. Soil
samples were taken 4, 9 and 12 months after the injection. In the first co
mpartment, one component of evaporation (k(4,0)) was considered and for the
last compartment, one constant of removal for the water table (k(13,0)) Co
mpartments 1, 2 and 3 were added to the system to consider precipitation ef
fect. The AnaComp program, developed at IPEN, was used to determine the tra
nsfer constants k(i,j) (from compartment i to compartment j) where i and j
range from 0 to 13. In this program the constants k(i,j) were determined by
the nonlinear least squares method, using eigenvalues - eingenvectors rout
ines or alternatively, the fourth order Runge-Kutta routine. In this compar
tment model, the radioactive tracer was introduced as a single pulse, into
the 6th compartment (50 cm deep). This permits to characterize the tracer d
iffusion processes in the soil studied. The adopted model showed an explana
tion coefficient r(2) equal to 0.78, which is satisfactory for the methodol
ogy used.