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

Martin Martin, Miguel Angel y 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.

Descripción

Título: A Fractal Interaction Model for Winding Paths through Complex Distributions: Application to Soil Drainage Networks
Autor/es:
  • Martin Martin, Miguel Angel
  • Reyes Castro, Miguel E.
Tipo de Documento: Artículo
Título de Revista/Publicación: Pure and Applied Geophysics
Fecha: Junio 2008
Volumen: 165
Materias:
Palabras Clave Informales: Hölder curves, multifractal distributions, soil drainage networks.
Escuela: E.T.S.I. Agrónomos (UPM) [antigua denominación]
Departamento: Matemática Aplicada a la Ingeniería Agronómica [hasta 2014]
Licencias Creative Commons: Reconocimiento - Sin obra derivada - No comercial

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Resumen

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.

Más información

ID de Registro: 2259
Identificador DC: http://oa.upm.es/2259/
Identificador OAI: oai:oa.upm.es:2259
Identificador DOI: 10.1007/s00024-004-0351-7
URL Oficial: http://www.springerlink.com/content/c902240027n5j127/fulltext.pdf
Depositado por: Memoria Investigacion
Depositado el: 15 Feb 2010 12:32
Ultima Modificación: 10 Ene 2017 10:06
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