Fractal concepts in relation to soil water diffusivity

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dc.contributor.authorGuerrini, I. A.
dc.contributor.authorSwartzendruber, D.
dc.contributor.institutionUNIV NEBRASKA
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-20T15:22:13Z
dc.date.available2014-05-20T15:22:13Z
dc.date.issued1997-11-01
dc.description.abstractFractal geometry would appear to offer promise for new insight on water transport in unsaturated soils, This study was conducted to evaluate possible fractal influence on soil water diffusivity, and/or the relationships from which it arises, for several different soils, Fractal manifestations, consisting of a time-dependent diffusion coefficient and anomalous diffusion arising out of fractional Brownian motion, along with the notion of space-filling curves were gleaned from the literature, It was found necessary to replace the classical Boltzmann variable and its time t(1/2) factor with the basic fractal power function and its t(n) factor, For distinctly unsaturated soil water content theta, exponent n was found to be less than 1/2, but it approached 1/2 as theta approached its sated value, This function n = n(theta), in giving rise to a time-dependent, anomalous soil water diffusivity D, was identified with the Hurst exponent H of fractal geometry, Also, n approaching 1/2 at high water content is a behavior that makes it possible to associate factal space filling with soil that approaches water saturation, Finally, based on the fractally interpreted n = n(theta), the coalescence of both D and 8 data is greatly improved when compared with the coalescence provided by the classical Boltzmann variable.en
dc.description.affiliationUNIV NEBRASKA,DEPT AGRON,LINCOLN,NE 68583
dc.description.affiliationSTATE UNIV SAO PAULO,DEPT FIS & BIOFIS,BOTUCATU,SP,BRAZIL
dc.description.affiliationUnespSTATE UNIV SAO PAULO,DEPT FIS & BIOFIS,BOTUCATU,SP,BRAZIL
dc.format.extent778-784
dc.identifierhttp://dx.doi.org/10.1097/00010694-199711000-00002
dc.identifier.citationSoil Science. Baltimore: Williams & Wilkins, v. 162, n. 11, p. 778-784, 1997.
dc.identifier.doi10.1097/00010694-199711000-00002
dc.identifier.issn0038-075X
dc.identifier.lattes3790665066857769
dc.identifier.urihttp://hdl.handle.net/11449/33232
dc.identifier.wosWOS:A1997YH70400002
dc.language.isoeng
dc.publisherWilliams & Wilkins
dc.relation.ispartofSoil Science
dc.relation.ispartofjcr1.387
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.titleFractal concepts in relation to soil water diffusivityen
dc.typeArtigo
dcterms.licensehttp://journals.lww.com/_layouts/oaks.journals/nih.aspx
dcterms.rightsHolderWilliams & Wilkins
unesp.author.lattes3790665066857769
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Biociências, Botucatupt

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Artigos - Física e Biofísica - IBB