Fractal Analysis on the Mapping Relationship of Conductivity Properties in Porous Material

Li, Cheng; Xu, Yao; Jiang, Zhouting; Yu, Bo; Xu, Peng

doi:10.3390/fractalfract6090527

Cited by 5 publications

(1 citation statement)

References 23 publications

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“…Fractal analysis is an effective method for describing the porous structure of porous carbons. Specialized optical interference filters have recently been successfully used to improve the accuracy of fractal analysis procedures [ 21 , 22 , 23 ]. The use of high-precision thin-film sensors based on single-crystal materials has improved the targeting of fractal analysis [ 24 , 25 ].…”

Section: Introductionmentioning

confidence: 99%

Porous Structure and Fractal Dimensions of Activated Carbon Prepared from Waste Coffee Grounds

Sklepova,

Ivanichok,

Kolkovskyi

et al. 2023

Materials

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The present work reports the results of a systematic study on the evolution of the morphological properties of porous carbons derived from coffee waste using a one-pot potassium-hydroxide-assisted process at temperatures in the range of 400–900 °C. Raw materials and obtained carbons were studied by TG, DTG, SEM and nitrogen adsorption porosimetry. The decomposition temperature ranges for hemicellulose, cellulose and lignin as the main component of the feedstock have been established. It is shown that the proposed method for the thermochemical treatment of coffee waste makes it possible to obtain activated carbon with a controllable pore size distribution and a high specific surface area (up to 1050 m2/g). A comparative study of the evolution of the distribution of pore size, pore area and pore volume has been carried out based on the BJH and NL-DFT (slit-like pores approximation) methods. The fractal dimension of the obtained carbons has been calculated by Frenkel–Halsey–Hill method for single-layer and multilayer adsorptions.

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Section: Introductionmentioning

confidence: 99%

Porous Structure and Fractal Dimensions of Activated Carbon Prepared from Waste Coffee Grounds

Sklepova,

Ivanichok,

Kolkovskyi

et al. 2023

Materials

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A Fractal Model for Electrical Conductivity of Porous Media Embedded With a Damaged Tree-Like Network

WANG,

XIAO,

ZHANG

et al. 2023

Fractals

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Predicting the electrical conductivity of porous media is important for oil reservoirs, rock physics, and fuel cells. In this work, a cuboid embedded with a damaged tree-like network is employed to denote a portion of porous media. Analytical expressions for the electrical conductivity are then derived with the fractal theory. Various structural parameters have been examined in detail for the influence of electrical conductivity. It is found that the increased number of damaged channels means more difficult ion migration and lower electrical conductivity of porous media. In addition, a decreasing length ratio or an increasing diameter ratio will increase electrical conductivity. Moreover, both the channel distribution fractal dimension and tortuosity fractal dimension result in a decrease in electrical conductivity. A comparison of the results predicted by other models yields a good agreement, validating our proposed model. These results may further interpret the transport properties of porous media.

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An Improved Method for Predicting Mine Water Inrush Based on Temperature Changes With Nonlinear Flow in Fractal Porous Media

Bo,

Zhao,

Liu

et al. 2024

Geofluids

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Using changes in ground temperature to reflect the flow status of groundwater is one of the methods for predicting mine water inrush. In this study, in order to make this method suitable for different geological conditions, an improved method for predicting mine water inrush is established based on the theories of heat transfer and nonlinear water flow in fractal porous media. A water inrush judging criterion based on the critical pressure gradient of nonlinear flow is first established. Then, an internal structural model of the crushed rocks and a mathematical model of nonlinear flow in crushed rocks are derived based on the fractal theory. Finally, a thermal, hydraulic, and mechanical (THM) coupling model is established to study the nonlinear water inrush process and temperature changes. The improved method is established based on the numerical simulation results of the THM coupling model. Results show that the water inrush judging criterion can simultaneously consider the water‐resisting capacity of intact and crushed rocks and quantitatively calculate the water‐resisting capacity of crushed rocks compared with the traditional method. The improved method is suitable for different cases with different water‐resisting capacities, ground temperature change ranges and gradients, and aquifer water pressures, which can improve the applicability of using ground temperature to predict mine water inrush.

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Fractal Analysis on the Mapping Relationship of Conductivity Properties in Porous Material

Cited by 5 publications

References 23 publications

Porous Structure and Fractal Dimensions of Activated Carbon Prepared from Waste Coffee Grounds

Porous Structure and Fractal Dimensions of Activated Carbon Prepared from Waste Coffee Grounds

A Fractal Model for Electrical Conductivity of Porous Media Embedded With a Damaged Tree-Like Network

An Improved Method for Predicting Mine Water Inrush Based on Temperature Changes With Nonlinear Flow in Fractal Porous Media

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