Self-similitude and fractal dimension of sand grains

Fractal theory postulates that geological materials possess a noninteger, fractal dimension describing length-surface-volume relations and particle-size distribution. We examined sand grains, composed largely of quartz, from several horizons of Wisconsin soils derived from glacial outwash for fracta...

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Bibliographic Details
Published inSoil Science Society of America journal Vol. 60; no. 1
Main Authors Barak, P. (Univ. of Wisconsin, Madison, WI.), Seybold, C.A, McSweeney, K
Format Journal Article
LanguageEnglish
Published 01.01.1996
Subjects
ARENA
CIENCIA DEL SUELO
DIMENSION
GROSSEUR DES PARTICULES
MATEMATICAS
MATHEMATIQUE
SABLE
SCIENCES DU SOL
SOL SABLEUX
SUELO ARENOSO
TAMANO DE LA PARTICULA
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Summary:Fractal theory postulates that geological materials possess a noninteger, fractal dimension describing length-surface-volume relations and particle-size distribution. We examined sand grains, composed largely of quartz, from several horizons of Wisconsin soils derived from glacial outwash for fractal dimension using image analysis of reflected light micrographs with NIH Image software. No evidence was found to support other than a Euclidean, i.e., regular dimension, relating the geometric properties of: (i) measured particle perimeter as a function of magnification or (ii) particle area and perimeter. In addition, particle-size distributions were better fit by lognormal distribution than by a fractal fragmentation dimension. Fractal theory would not appear to provide a useful description for these soil materials
Bibliography:P33
9608612
U10
ISSN:0361-5995
1435-0661
DOI:10.2136/sssaj1996.03615995006000010013x