Two Fractal Regimes of the Soil Hydraulic Properties

Bartolo, Samuele De; Fallico, Carmine; Severino, Gerardo; Veltri, Massimo

doi:10.4236/am.2014.512170

Cited by 5 publications

(3 citation statements)

References 32 publications

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“…Therefore, different types of land use/cover affect the PSD and other physicochemical properties, such as infiltration, by accelerating or preventing soil erosion (Liu, Zhang, Heathman, Wang, & Huang, 2009). In recent years, fractal mathematics has been increasingly applied as a tool to quantitatively evaluate PSD and consequently its hydraulic properties because soils have been shown to be fractal (Bartolo, Fallico, Severino, & Veltri, 2014;Feng, Qu, Tan, Fan, & Niu, 2020). In the fractal geometry, a parameter called the fractal dimension is used to describe self-similarity in a physical or chemical phenomenon.…”

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confidence: 99%

Fractal analysis of the infiltration curve and soil particle size in a semi‐humid watershed

Omidvar

2020

European J Soil Science

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Although fractal mathematics has been commonly used to quantify particle size distribution (PSD), limited attention has been paid to the fractal dimension of the infiltration curve (D I ). Therefore, it is necessary to determine whether the D I and fractal dimensions of PSD (D m , D clay , D silt and D sand ) can reflect the infiltration process, and soil erodibility and degradation. Accordingly, this study aimed to provide new information on the quantification of infiltration processes, and soil erodibility and degradation, using D I and D m in the Soorak basin in the northern part of Iran. The soil and infiltration properties were calculated by field and laboratory practices on 46 topsoil samples and 34 infiltrometer double-ring tests. Correlation, regression and redundancy analysis (RDA) were used to identify relationships between the infiltration curve and PSD coordinates with soil and infiltration properties. Results indicated that the D I was significantly linearly correlated with other infiltration curve characteristics, with the correlation coefficient ranging from −0.737 to −0.403 (sig. = 0.000-0.037). However, there was no significant correlation between D I and D m , D clay , D silt and D sand . Different erodibility factors, especially K USLE , had significant relations with D m , D clay , D silt , D sand and D I (p < .01), suggesting that these fractal dimensions are indicators of soil degradation. Other findings indicated that the land use had no significant effect on D I and infiltration properties, whereas K USLE , D m , D clay , D Silt and D Sand were significantly affected by land-use patterns (p < .01). These findings demonstrate that fractal dimensions of PSD and infiltration can be practicable indices to analyse soil degradation under different land-use types. Highlights • How fractal geometry adds to understanding of the infiltration process and soil degradation. • Fractal dimensions of infiltration (D I ) can describe the infiltration process. • Fractal dimensions of soil (D m ) and D I can be used as indicators of the soil erodibility. • Erodibility and fractal properties of soil were significantly affected by land use.

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confidence: 99%

Fractal analysis of the infiltration curve and soil particle size in a semi‐humid watershed

Omidvar

2020

European J Soil Science

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“…Those existing models are so complex as to many empirical parameters. Pore structure information can be used to reduce the empirical parameters in SWCC model over entire range of water content (Perfect, 1999;De Bartolo et al, 2014). The fractal geometry is an effective tool to characterize micro-pore structure of soils (Mandelbrot, 1982;Kravchenko and Zhang, 1998).…”

Section: Wang Et Al (2016)mentioning

confidence: 99%

A fractal-based model for soil water characteristic curve over entire range of water content

et al. 2019

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Soil water characteristic curve (SWCC) has been an important role in hydraulic engineering, civil engineer and petroleum engineering, etc. Most of SWCC models neglected the film flow in the dry state, so that they cannot accurately describe the SWCC over entire range of water content. In this work, an alternative fractal model is proposed to predict the SWCC over entire range of water content by combining Campbell and Shiozawa model and Tao model. The proposed model can well predict twelve sets of experimental data, and its parameters, including the fractal dimension, the saturated volumetric water content, the matric suction at oven-dry condition, and the air-entry value, accord with theoretical value. The results show that there is a strong linear relationship between volumetric water content and matrix suction in log-log scale for different fractal pore-size distribution of soils. In addition, good agreement is obtained between the experimental data and the model predictions in all of the cases.

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“…Tyler and Wheatcraft [34] derived the fractal model of relative hydraulic conductivity based on a fractal model of SWCC. Based on the fractal theory, many researchers have derived new models for estimating the relative hydraulic conductivity, but the influence of deformation on hydraulic conductivity was not considered [35][36][37][38][39][40][41][42][43].…”

Section: Introductionmentioning

confidence: 99%

A Fractal Approach for Predicting Unsaturated Hydraulic Conductivity of Deformable Clay

et al. 2019

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The relative hydraulic conductivity is one of the key parameters for unsaturated soils in numerous fields of geotechnical engineering. The quantitative description of its variation law is of significant theoretical and technical values. Parameters in a classical hydraulic conductivity model are generally complex; it is difficult to apply these parameters to predict and estimate the relative hydraulic conductivity under deformation condition. Based on the fractal theory, a simple method is presented in this study for predicting the relative hydraulic conductivity under deformation condition. From the experimental soil-water characteristic curve at a reference state, the fractal dimension and air-entry value are determined at a reference state. By using the prediction model of air-entry value, the air-entry values at the deformed state are then determined. With the two parameters determined, the relative hydraulic conductivity at the deformed state is predicted using the fractal model of relative hydraulic conductivity. The unsaturated hydraulic conductivity of deformable Hunan clay is measured by the instantaneous profile method. Values of relative hydraulic conductivity predicted by the fractal model are compared with those obtained from experimental measurements, which proves the rationality of the proposed prediction method.

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Two Fractal Regimes of the Soil Hydraulic Properties

Cited by 5 publications

References 32 publications

Fractal analysis of the infiltration curve and soil particle size in a semi‐humid watershed

Fractal analysis of the infiltration curve and soil particle size in a semi‐humid watershed

A fractal-based model for soil water characteristic curve over entire range of water content

A Fractal Approach for Predicting Unsaturated Hydraulic Conductivity of Deformable Clay

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