Comparison of Fractal Dimensions Estimated From Aggregate Mass-Size Distribution and Water Retention Scaling

Filgueira, R. R.; Pachepsky, Y. A.; Fournier, L. L.; Sarli, Guillermo Oliverio; Aragón, Alán Rivero

doi:10.1097/00010694-199904000-00001

Cited by 44 publications

(29 citation statements)

References 19 publications

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“…A total of 21 experimental soil water retention data were considered. These data sets were reported by Campbell and Shiozawa (1992) (seven data sets), Filgueira et al (1999) (eight data sets), Pachepsky et al (1995) (two data sets), Bird et al (2000) (Ariana silty clay loam data set), and Nofziger et al (1989) (Cobb sandy clay data set, p. 35). The reader is referred to the corresponding original publication for additional details on soil texture, structural characteristics, and laboratory or field methods.…”

Section: Data Setsmentioning

confidence: 87%

“…(2) to each individual data set. The estimated fractal dimension ranged from a minimum, D p =2.67 (0.02), for the T 5 treatment in Filgueira et al (1999), to a maximun value, D p =2.88 (0.008) for the Polouse B-horizon soil (Campbell and Shiozawa, 1992). The composite scaling coefficient (Eq.…”

Section: Statistical Analysesmentioning

confidence: 99%

“…1016/j.geoderma.2004.06.003 provided soil scientists with the first integrated model of soil structure (Rieu and Sposito, 1991a). Estimation of fractal dimensions from soil water retention data is well documented in the literature (Rieu and Sposito, 1991b;Perfect et al, 1996;Perfect, 1999;Filgueira et al, 1999). These studies have assumed the existence of a unique fractal dimension (usually a mass fractal dimension) within the scale range where data are available, while other investigations have modelled the soil water retention as the effect of an underlying fractal surface (de Gennes, 1985).…”

Section: Introductionmentioning

confidence: 99%

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Modelling soil water retention scaling. Comparison of a classical fractal model with a piecewise approach

Millán

González-Posada

2005

Geoderma

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Section: Data Setsmentioning

confidence: 87%

Section: Statistical Analysesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Modelling soil water retention scaling. Comparison of a classical fractal model with a piecewise approach

Millán

González-Posada

2005

Geoderma

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“…In recent decades fractal models of porous media have become popular [27][28][29]98] because of the validation [99][100][101] of their predictions regarding the water content of porous media as functions of the pressure, relevant to processes of wetting and drying. A prior article in this journal [102] has addressed the relevance of such models to calculations of such properties as the hydraulic and electrical conductivities of real porous media, and it has found that there exists considerable support for their use.…”

Section: Porous Media Applicationsmentioning

confidence: 99%

Relevance of percolation theory to power‐law behavior of dynamic processes including transport in disordered media

Hunt

2009

Complexity

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P ower-law behavior seems ubiquitous in nature as well as in human endeavors. Flood statistics [1][2][3][4][5], water storage [6], drainage basin organization [7], relationships between channel dimensions and flow [8], extreme precipitation events [9], wind and weather fluctuations [10,11], stock and commodity markets fluctuations [12,13] , have all been noted to obey various power laws. Many physicists have searched for unifying concepts to explain such ubiquity. Perhaps, however, powerlaw behavior is not quite as universal as thought. Multifractal distributions originating from cascade processes as a related, but somewhat more complex, organizing principle have often been proposed to be the appropriate universal description [33, 34]. Some [35][36][37] have questioned whether a ''class'' of stretched exponential functions might better represent a larger or smaller fraction of the data. In the ac conductivity of disordered insulators, for example, several other frequencydependences [38-40], universal or not, have been suggested. This small sample of alternate ideas need not imply that alternative scenarios are always correct either. But simply because it is often asserted that nature follows power laws does not require such; in most cases the range and quality of data are probably not sufficient to distinguish the subtle differences between the various proposed distributions. But the recognition of the simplicity of the explanation that self-similar geometrical structures [41] could be the basis of so many geophysical manifestations of apparent power laws has certainly provided impetus to the interpretation that a large number of natural phenomena do follow power-law behavior.In the case that one believes that the observed behavior conforms to true power laws, what kind of underlying mechanism should one seek? At least six such unifying concepts, nonlinear dynamics (chaos) [42], self-organized criticality [43], hierarchical dynamics [44], highly optimized tolerance [45], minimum effort

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“…Se contabilizaron los vacíos continuos y la diferencia entre estos y la porosidad total puede dar el valor de los no continuos sin que exista necesidad de diferenciarlos y contarlos de uno a uno. La opción por este método, aparentemente anticuado, se justifica al hecho de muchos métodos modernos de estudio en 3D de este espacio (Ligthart et al, 1993), sea por difusión de gas (Moldrup et al, 2001;Inversen et al, 2001;Poulsen et al, 2001), sea por tomografia axial computarizada -TAC (Warner et al, 1989;Perret et al, 2000), sea por los modelos de simulación de Lattice-Boltzmann (Torquato et al, 1999), sea por geometria fractal (Anderson et al, 2000;Filgueira et al, 1999;Bird et al, 2000), u otros, no tienen datos resultados suficientemente próximos de las características del espacio de cultivo. Así, aún existe la necesidad de mejorar considerablemente aquellos métodos (Weerts et al, 2001).…”

Section: Materials Y Métodosunclassified

Estudio de las Prácticas Culturales, Porosidad del Suelo y Gestión Hídrica en el Combate contra la Desertificación

Sampaio

2009

Inf. tecnol.

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ResumenSe realizó un estudio comparativo entre un sistema de producción de cereales de secano de conservación y otro tradicional, con el fin de evaluar los efectos a largo plazo de diferentes prácticas culturales en el combate a la desertificación. El sistema de conservación ha recurrido a siembras directas a lo largo de 10 años consecutivos, mientras que el tradicional al laboreo del suelo. En un suelo tipo Chromic Vertisol en Portugal se evaluó a partir de imágenes en 2D, la continuidad del espacio poroso y, por tanto, la dinámica del agua del suelo. Para tener una buena representatividad de la zona bajo estudio, se analizaron muestras de 250 cm 2 de suelo. Los resultados muestran que el sistema conservador, induce un aumento de la continuidad del espacio poroso en profundidad. Así, las prácticas culturales conservadoras, producen alteraciones en el régimen hídrico del suelo, siendo una importante estrategia a adoptar, como factor que interviene en el ciclo hidrológico y como acción concreta de lucha contra la desertificación. Palabras clave: suelo, prácticas culturales, siembra directa, régimen hídrico, desertificación Cultural Practices Study, Soil Porosity and Water Management against Desertification Combat AbstractTo evaluate the long term effects of different cultural practices in the desertification combat, a comparative study between a dryland conservative cropping system of cereals and another more traditional one was done. The conservative system has had direct seeding along 10 consecutive years, while the traditional one has had soil tillage. On a soil of the type Chromic Vertisol in Portugal the continuity of the porous space and therefore the water dynamics of the soil were evaluated using 2D images. To have a better representation of the area under study, soil samples of 250 cm 2 were analyzed. The results, demonstrated that the conservative system, induces an increase of the porous space continuity in depth. Thus, the cultural conservative practices produce alterations in the water regime of the soil, being an important strategy to adopt, as intervening factor in the hydrologic cycle and as a concrete action against desertification.

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Comparison of Fractal Dimensions Estimated From Aggregate Mass-Size Distribution and Water Retention Scaling

Cited by 44 publications

References 19 publications

Modelling soil water retention scaling. Comparison of a classical fractal model with a piecewise approach

Modelling soil water retention scaling. Comparison of a classical fractal model with a piecewise approach

Relevance of percolation theory to power‐law behavior of dynamic processes including transport in disordered media

Estudio de las Prácticas Culturales, Porosidad del Suelo y Gestión Hídrica en el Combate contra la Desertificación

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