PAIXÃO, Francisco J. R. da.; ANDRADE, Antonio R. S.; AZEVEDO, Carlos A. V. de.; FRANCO, Euler S.; ANTUNES, Vera Lucia.; HERDANI, Egberto E. de.
Résumé:
Currently the fractals geometry have been used as an alternative tool for elaboration of
mathematics models in the estimate of the water retention curve in the soil. Utilizing the fractal
geometry concepts, BROOKS e COREY (1964) and PERRIER et al., (1996) propose a model, which
it esteems the soil humidity in function of the soil water tension data. The objective of this work was
to estimate the retention curve using the Brooks e Corey (1964) model, modified utilizing the fractal
geometry, with a new parameter of interpolation called fractal dimension (D), and it seeing that
depends of the soils proprieties. The D parameter that represents the fractal dimension of the Brooks e
Correy model was determined based on two physical proprieties; the soil water content, DSWRC, and
of the distribution of size of the soil particle, DPSD. For the application of the proposal model and
determination of the fractal dimension were collected 36 samples of deformed soil in three depths 0-
20, 20-40 and 40-60 cm, in an area cultivate with sesamum and irrigated with sprinkles system. The
Brooks and Corey model, modified for fractal dimension, it showed results more significant on
attainment of the retention curve, when it was compared with the use of the fractal dimension DPSD.
However, in both cases there are a series of additional conditions that it allows the attempt of
obtaining of several results.
