Fractal Dimensions of Soil Aggregate-size Distributions Calculated by Number and Mass

Perfect, E.; Rasiah, V.; Kay, B. D.

doi:10.2136/sssaj1992.03615995005600050012x

Cited by 95 publications

(39 citation statements)

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“…The heterogeneity of soil structure due to the distribution of aggregate sizes has recently been described by the fragmentation of fractal dimension [54]. Many factors that influence the fractal dimension include vegetation and erosion [19,[55][56][57].…”

Section: Discussionmentioning

confidence: 99%

Soil Aggregate Stability and Associated Structure Affected by Long-Term Fertilization for a Loessial Soil on the Loess Plateau of China

Tuo¹,

Xu²,

Li³

et al. 2017

Pol. J. Environ. Stud.

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Section: Discussionmentioning

confidence: 99%

Soil Aggregate Stability and Associated Structure Affected by Long-Term Fertilization for a Loessial Soil on the Loess Plateau of China

Tuo¹,

Xu²,

Li³

et al. 2017

Pol. J. Environ. Stud.

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“…The slope however has remained virtually the same and therefore so does the fractal dimension. Using a slightly different method Perfect et al (1992) also showed that assuming a spherical or cubic shape of grains should result in the same number-derived fractal dimension i.e. the same slope in the graph.…”

Section: Determination Of the Fractal Dimension: Effect Of Shapementioning

confidence: 99%

“…Tyler and Wheatcraft, 1989;Hooke and Iverson, 1995;. In the field of soil science, Perfect et al (1992) showed that for silt loam soils with particles sizes ranging between 0.5 and 30 mm the fractal dimensions computed by number-and mass-based approaches were the same. The traditional way to describe fractals is by a power law between number and size (Mandelbrot, 1982):…”

Section: Introductionmentioning

confidence: 98%

Characterisation of the ultimate particle size distribution of uniform and gap-graded soils

Zhang

Baudet

et al. 2017

Soils and Foundations

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The ultimate particle size distribution of uniform and gap-graded soils is examined on specimens of carbonate sand that were subjected to large strains in a ring shear apparatus. The gap-graded soils were seen to retain a memory of their initial grading even at large strains. The particle size distributions were plotted in double logarithmic graphs either by mass or by number computed assuming different shapes. It was not possible to find linear subsets of the data, and since the samples were found experimentally to have converged to an ultimate grading, this suggests that the initial bimodal distribution prevented reaching an ultimate fractal distribution. Plots of the probability density functions of the particle sizes before and after shearing show the evolution of the gap-graded soils from a bimodal to a multi-modal distribution. This is accompanied by an evolution of the shape of the particles, visible in microphotographs and projections of the grains before and after test.

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“…O trabalho foi realizado considerando amostras de solos arenosos, reconstruídas de acordo com distribuições fractais de partículas (Arya & Paris, 1981;Tyler & Wheatcraft, 1992;Perfect et al, 1992). Foram investigadas distribuições com dimensões fractais de fracionamento D f (Perfect et al, 1992) variando entre 2,50 e 3,00.…”

Section: Methodsunclassified

“…Foram investigadas distribuições com dimensões fractais de fracionamento D f (Perfect et al, 1992) variando entre 2,50 e 3,00.…”

Section: Methodsunclassified

Funil de haines modificado: curvas de retenção de solos próximos à saturação

Cássaro

Pires

Santos³

et al. 2008

Rev. Bras. Ciênc. Solo

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RESUMOO movimento da água através da matriz do solo é geralmente modelado pelas equações de Darcy, Darcy-Buckingam e Richards, cujo uso está baseado no conhecimento de algumas propriedades físicas do solo, como, por exemplo, a distribuição de poros e a retenção de água pelo solo. A retenção de água pelo solo é conhecida a partir da determinação de sua curva de retenção (CR) ou curva característica. O primeiro objetivo deste trabalho foi apresentar um aparato simples, desenvolvido pela modificação do funil de placa porosa (funil de Haines), para a investigação e o levantamento de CRs detalhadas, em amostras de solos em condições de umidade próximas à saturação e em amostras com potenciais mátricos (ψ ψ ψ ψ ψ m ) que vão desde 0 kPa a aproximadamente -12 kPa (120 cm de altura de coluna de água). Foram investigados agregados de um Latossolo Vermelho distrófico (LVd) de uma região do Estado do Paraná, cujos diâmetros médios e densidades variaram, respectivamente, entre 1,6 e 5,7 cm e 1,01 e 1,31 g cm -3 , e amostras arenosas reconstituídas com areias de diâmetros médios entre 0,106 mm e 2,000 mm, com dimensões fractais de fracionamento (D f ) entre 2,5 e 3,0. O segundo objetivo do trabalho foi inferir a distribuição de poros das amostras investigadas. Isso foi conseguido utilizando-se os parâmetros de ajuste da curva de van Genuchten aos pontos das CRs obtidas para a determinação da Função Capacidade de Água (FCA). Pela análise dessas FCAs, observou-se que as amostras de agregados de solo apresentaram um sistema poroso de maior complexidade; e que a variação da granulometria do solo arenoso está diretamente relacionada às modificações de

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Fractal Dimensions of Soil Aggregate-size Distributions Calculated by Number and Mass

Cited by 95 publications

References 0 publications

Soil Aggregate Stability and Associated Structure Affected by Long-Term Fertilization for a Loessial Soil on the Loess Plateau of China

Soil Aggregate Stability and Associated Structure Affected by Long-Term Fertilization for a Loessial Soil on the Loess Plateau of China

Characterisation of the ultimate particle size distribution of uniform and gap-graded soils

Funil de haines modificado: curvas de retenção de solos próximos à saturação

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