A Fractal Interaction Model for Winding Paths through Complex Distributions: Application to Soil Drainage Networks

Martin Martin, Miguel Angel and Reyes Castro, Miguel E. (2008). A Fractal Interaction Model for Winding Paths through Complex Distributions: Application to Soil Drainage Networks. "Pure and Applied Geophysics", v. 165 (n. 6); pp. 1153-1165. ISSN 0033-4553. https://doi.org/10.1007/s00024-004-0351-7.

Description

Title: A Fractal Interaction Model for Winding Paths through Complex Distributions: Application to Soil Drainage Networks
Author/s:
  • Martin Martin, Miguel Angel
  • Reyes Castro, Miguel E.
Item Type: Article
Título de Revista/Publicación: Pure and Applied Geophysics
Date: June 2008
ISSN: 0033-4553
Volume: 165
Subjects:
Freetext Keywords: Hölder curves, multifractal distributions, soil drainage networks.
Faculty: E.T.S.I. Agrónomos (UPM) [antigua denominación]
Department: Matemática Aplicada a la Ingeniería Agronómica [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

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.

More information

Item ID: 2259
DC Identifier: http://oa.upm.es/2259/
OAI Identifier: oai:oa.upm.es:2259
DOI: 10.1007/s00024-004-0351-7
Official URL: http://www.springerlink.com/content/c902240027n5j127/fulltext.pdf
Deposited by: Memoria Investigacion
Deposited on: 15 Feb 2010 12:32
Last Modified: 10 Jan 2017 10:06
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