Rényi dimensions of soil pore size distribution

Caniego, F. J.; Marti, Michael; Fernando, José F.

doi:10.1016/s0016-7061(02)00307-5

Cited by 95 publications

(86 citation statements)

References 29 publications

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“…They displayed a noticeable variation across negative values of q. This branch of the spectrum corresponded to the smallest concentrations of the measure (Caniego et al, 2003). This was in agreement with the observation that in general the singularity spectra had a more developed right branch.…”

Section: Resultssupporting

confidence: 89%

“…(3)) and the Rényi generalized dimensions D q (Eqs. (4) and (5)) (Caniego et al 2001(Caniego et al , 2003. They were estimated via linear regression analysis with the least mean-square fit applying the power laws given in expressions (2), (3), (4) and (5).…”

Section: Estimation Of Multifractal Parametersmentioning

confidence: 99%

“…Multifractal analysis can be used to characterize the heterogeneous 2-D spatial arrangement of solid and void phases (Muller and McCauley, 1992;Posadas et al, 2003;Tarquis et al, 2003;Bird et al, 2006) and the complexity of pore size distribution (Caniego et al, 2001(Caniego et al, ,2003. These two, apriori, independent aspects can be modeled as mass distributions supported at a domain at a plane or at a size interval, respectively.…”

Section: Introductionmentioning

confidence: 99%

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Multifractal analysis of discretized X-ray CT images for the characterization of soil macropore structures

et al. 2010

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Keywords:X-ray computed tomography of soil Image analysis Soil pore space Soil spatial variability Long-range dependence Multifractal analysis Hurst exponent A correct statistical model of soil pore structure can be critical for understanding flow and transport processes in soils, and creating synthetic soil pore spaces for hypothetical and model testing, and evaluating similarity of pore spaces of different soils. Advanced visualization techniques such as X-ray computed tomography (CT) offer new opportunities of exploring heterogeneity of soil properties at horizon or aggregate scales. Simple fractal models such as fractional Brownian motion that have been proposed to capture the complex behavior of soil spatial variation at field scale rarely simulate irregularity patterns displayed by spatial series of soil properties. The objective of this work was to use CT data to test the hypothesis that soil pore structure at the horizon scale may be represented by multifractal models. X-ray CT scans of twelve, water-saturated, 20-cm long soil columns with diameters of 7.5 cm were analyzed. A reconstruction algorithm was applied to convert the X-ray CT data into a stack of 1480 grayscale digital images with a voxel resolution of 110 microns and a cross-sectional size of 690 x 690 pixels. The images were binarized and the spatial series of the percentage of void space vs. depth was analyzed to evaluate the applicability of the multifractal model. The series of depth-dependent macroporosity values exhibited a welldefined multifractal structure that was revealed by singularity and Rényi spectra. The long-range dependencies in these series were parameterized by the Hurst exponent. Values of the Hurst exponent close to one were observed indicating the strong persistence in variations of porosity with depth. The multifractal modeling of soil macropore structure can be an efficient method for parameterizing and simulating the vertical spatial heterogeneity of soil pore space.

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Section: Resultssupporting

confidence: 89%

Section: Estimation Of Multifractal Parametersmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Multifractal analysis of discretized X-ray CT images for the characterization of soil macropore structures

et al. 2010

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“…For all Calcic Cambisols soils, D 1 increased with clay content ( Table 2). Considering that D 0 reflected the range of a continuous distribution and the D 1 expressed the range of PSD and measured the homogeneity among fractions at different partition levels, D 1 /D 0 was used to describe the heterogeneity in a distribution, as suggested by Caniego et al (2003) and Montero (2005). Table 1 showed that the value of (Table 2), which indicated that distribution heterogeneity also increased with fine particle content.…”

Section: Effects Of Land Use On Multifractal Parametersmentioning

confidence: 99%

“…Posadas et al (2001) suggested that D 1 can be used to distinguish single from multifractal scaling. Caniego et al (2003) used D 1 /D 0 to quantify the dispersion of the measure over the set of cell size. Martín et al (2001Martín et al ( , 2005 suggested that an entropy-based parameter is a useful parameter for classifying soil texture within the classical textural triangle.…”

Section: Introductionmentioning

confidence: 99%

Multifractal characteristics of soil particle size distribution under different land-use types on the Loess Plateau, China

Zhao

et al. 2008

CATENA

169

132

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Soil particle-size distribution (PSD) is one of the most important physical attributes due to its great influence on soil properties related to water movement, productivity, and soil erosion. The multifractal measures were useful tools in characterization of PSD in soils with different taxonomies. Land-use type largely influences PSD in a soil, but information on how this occurs for different land-use types is very limited. In this paper, multifractal Rényi dimension was applied to characterize PSD in soils with the same taxonomy and different land-use types. The effects of land use on the multifractal parameters were then analyzed. The study was conducted on the hilly-gullied regions of the Loess Plateau, China. A Calcic Cambisols soil was sampled from five land-use types: woodland, shrub land, grassland, terrace farmland and abandoned slope farmland with planted trees (ASFP). The result showed that: (1) entropy dimension (D 1 ) and entropy dimension/capacity dimension ratio (D 1 /D 0 ) were significantly positively correlated with finer particle content and soil organic matter.

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Reservoir heterogeneity of the Longmaxi Formation and its significance for shale gas enrichment

Zhang

Liang

Pang

et al. 2020

Energy Science & Engineering

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Rényi dimensions of soil pore size distribution

Cited by 95 publications

References 29 publications

Multifractal analysis of discretized X-ray CT images for the characterization of soil macropore structures

Multifractal analysis of discretized X-ray CT images for the characterization of soil macropore structures

Multifractal characteristics of soil particle size distribution under different land-use types on the Loess Plateau, China

Reservoir heterogeneity of the Longmaxi Formation and its significance for shale gas enrichment

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