Determining Soil-Water Characteristic Curves from Mercury Intrusion Porosimeter Test Data Using Fractal Theory

Tao, Gaoliang; Yin, Chen; Xiao, Henglin; Chen, Qingsheng; Wan, Juan

doi:10.3390/en12040752

Cited by 16 publications

(9 citation statements)

References 32 publications

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“…As the number of macropore increases, the fractal characteristics decrease. This finding suggests that the fractal characteristics of pores are controlled by the pore size distribution pore size curve, which is consistent with the results of Tao et al 25 using silty clay for fitting research. www.nature.com/scientificreports/ Determine the SWCC for lime-treated loess.…”

Section: Distribution Of Fractal Dimension Of Poressupporting

confidence: 92%

Determining soil water characteristic curve of lime treated loess using multiscale structure fractal characteristic

et al. 2020

Sci Rep

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Soil–Water characteristic Curve (SWCC) is meant to describe the mechanical behavior of unsaturated soil. The present paper focuses on the internal multi-scale microstructure of Xining untreated loess and lime-treated loess with the use of scanning electron microscopy (SEM) and image processing technique. A new SWCC model was presented based on the fractal dimension of pore size distribution. The SWCC of untreated loess was calculated from fractal dimension and fitted well with curve tested from Fredlund SWCC device. The SWCC of lime-treated loess was then calculated. Two curves of Xining untreated loess and lime-treated loess have been compared and reasons for the difference have also been discussed. The results indicate that the content of large pores in lime-treated loess decreased and the content of micro-pore increased. The bracket pores were changed into cement pores. The pore fractal dimension D of Xining untreated loess is 1.39 and the pore fractal dimension D of Xining lime-treated loess is 1.53. Air-entry value of untreated loess is 12.16 kPa, while lime-treated Loess—35.15 kPa. In transition region, matric suction of lime-treated loess was in the range of 35.15 kPa ~ 4000 kPa, while matric suction of untreated loess—12.16 kPa ~ 2600 kPa. The range of the transition region in lime-treated loess is larger than that in the loess, while in the range of saturation region, the reverse applies. Under the condition of the same matrix suction, the saturation of lime-treated loess is greater than that of untreated loess. In the residual region, the difference of SWCC of soil samples is small.

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Section: Distribution Of Fractal Dimension Of Poressupporting

confidence: 92%

Determining soil water characteristic curve of lime treated loess using multiscale structure fractal characteristic

et al. 2020

Sci Rep

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“…According to previous studies, the fractal dimension can be calculated by Equation (4) [45][46][47][48]. The present fractal dimension can be applied to evaluate the pore characteristics of geomaterials such as rock and soil.…”

Section: Fractal Theorymentioning

confidence: 98%

“…The present fractal dimension can be applied to evaluate the pore characteristics of geomaterials such as rock and soil. According to [45][46][47][48], it was testified that the fractal behavior of a pore-size distribution of clayey soil suits the fractal model. All of the eight clay-quartz mixtures in this study can be classified as clayey soil:…”

Section: Fractal Theorymentioning

confidence: 99%

Permeability Evaluation of Clay-quartz Mixtures Based on Low-Field NMR and Fractal Analysis

Sha

Wang

2020

Applied Sciences

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Nuclear magnetic resonance (NMR) technology has been widely used for predicting permeability coefficients of porous medium, such as shales, sandstones, and coals. However, there have been limited studies on the prediction model of clay-quartz mixtures based on NMR technology. In this study, evaporation tests at 40 °C and NMR tests were simultaneously performed on eight clay-quartz mixtures with different mineral compositions. The results show that during the evaporation process, the decay rate of T2 total signal amplitudes was constant at first, and then decreased to 0 after a period of time. Based on the decay rate, the evaporation process was divided into two stages: the constant rate stage and the falling rate stage. Based on the two stages, the T2 cut-offs of eight mixtures were determined. The water in the mixture was divided into two parts by the T2 cut-off: the free water and the bound water. The prediction model of permeability coefficients of clay-quartz mixtures was established based on the Timur-Coates model. In order to simplify the process of predicting the permeability coefficient, fractal analysis was used to develop the relationship between the T2 cut-off and fractal dimension of the T2 spectrum of saturated mixture. A simplified method for predicting permeability coefficients of clay-quartz mixtures based on NMR technology without centrifugal and evaporation experiments was also proposed.

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“…Early on, however, researchers realized that the measurement of the PSD of very heterogeneous materials such as soils was fraught with difficulties, manifested among other things by the routinely observed influence of sample size (Simms & Yanful, 2002; Tao et al, 2019). The root cause of these difficulties was ascribed to the fact that pores of different sizes were necessarily connected to each other and influenced each other's individual behaviours in ways that did not necessarily correspond to what capillarity theory predicts in terms of a normal response to conditions imposed on the outer surfaces of soil samples.…”

Section: Introductionmentioning

confidence: 99%

Characterization by X‐ray μCT of the air‐filled porosity of an agricultural soil at different matric potentials

Smet

Plougonven

Léonard

et al. 2023

European J Soil Science

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To describe various important soil processes like the release of greenhouse gases or the proliferation of microorganisms, it is necessary to assess quantitatively how the geometry and in particular the connectivity of the air-filled pore space of a soil evolves as it is progressively dried. The availability of X-ray computed microtomography (μCT) images of soil samples now allows this information to be obtained directly, without having to rely on the interpretation of macroscopic measurements using capillary theory, as used to be the case. In this general context, we present different methods to describe quantitatively the configuration of the air-filled pore space in 3D μCT images of 20 separate samples of a loamy soil equilibrated at different matric potentials. Even though measures using μCT on such multi-scale materials strongly depend on image resolution, our results show that in general, soil samples most often behave as expected, for example, connectivity increases with higher negative matric potential, while tortuosity decreases. However, simple correlations could not be found between the evolution of quantitative descriptors of the pore space at the different matric potentials and routinely measured macroscopic soil parameters. A statistical analysis of all soil samples concurrently confirmed this lack of correspondence.

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Determining Soil-Water Characteristic Curves from Mercury Intrusion Porosimeter Test Data Using Fractal Theory

Cited by 16 publications

References 32 publications

Determining soil water characteristic curve of lime treated loess using multiscale structure fractal characteristic

Determining soil water characteristic curve of lime treated loess using multiscale structure fractal characteristic

Permeability Evaluation of Clay-quartz Mixtures Based on Low-Field NMR and Fractal Analysis

Characterization by X‐ray μCT of the air‐filled porosity of an agricultural soil at different matric potentials

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