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Martin Martin
Miguel Angel

Reyes Castro
Miguel E.
A Fractal Interaction Model for Winding Paths through Complex Distributions: Application to Soil Drainage Networks
Springer Verlag
byncnd
pub
 agricultura
public
Hölder curves, multifractal distributions, soil drainage networks.
Water interacts with soil through pore channels putting mineral constituents and pollutants into solution. The irregularity of pore boundaries and the heterogeneity of distribution of soil minerals and contaminants are, among others, two factors influencing that interaction and, consequently, the leaching of chemicals and the dispersion of solute throughout the soil. This paper deals with the interaction of irregular winding dragging paths through soil complex distributions. A mathematical modelling of the interplay between multifractal distributions of mineral/pollutants in soil and fractal pore networks is presented. A Ho¨lder path is used as a model of soil pore network and a multifractal measure as a model of soil complex distribution, obtaining a mathematical result which shows that the Ho¨lder exponent of the path and the entropy dimension of the distribution may be used to quantify such interplay. Practical interpretation and potential applications of the above result in the context of soil are discussed. Since estimates of the value of both parameters can be obtained from field and laboratory data, hopefully this mathematical modelling might prove useful in the study of solute dispersion processes in soil.
published
200806
Pure and Applied Geophysics
165
6
11531165
10.1007/s0002400403517
Agronomos
Matematica_Aplicada4
TRUE
00334553
http://www.springerlink.com/content/c902240027n5j127/fulltext.pdf