2020-01-24T07:34:51Z
http://oa.upm.es/cgi/oai2
oai:oa.upm.es:2259
2017-01-10T10:06:51Z
7374617475733D707562
7375626A656374733D6167726963756C74757261
747970653D61727469636C65
A Fractal Interaction Model for Winding Paths through Complex Distributions: Application to Soil Drainage Networks
Martin Martin, Miguel Angel
Reyes Castro, Miguel E.
Agriculture
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.
E.T.S.I. Agrónomos (UPM)
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
2008-06
info:eu-repo/semantics/article
Article
Pure and Applied Geophysics, ISSN 0033-4553, 2008-06, Vol. 165, No. 6
PeerReviewed
application/pdf
spa
http://www.springerlink.com/content/c902240027n5j127/fulltext.pdf
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/altIdentifier/doi/10.1007/s00024-004-0351-7
http://oa.upm.es/2259/