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Journal ArticleDOI

Fractal dimensions of coal particles

W.I Friesen, +1 more
- 01 Jan 1986 - 
- Vol. 120, Iss: 1, pp 263-271
TLDR
In this article, the fractal dimension of coal and char samples was determined from the relation dV p dP ∝ P D−4, where P is the pressure, and three pressure regimes were indicated by distinct values of D; in order of increasing pressure, these correspond to interparticle penetration, pore penetration and sample compressibility.
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This article is published in Journal of Colloid and Interface Science.The article was published on 1986-01-01. It has received 350 citations till now. The article focuses on the topics: Porosimetry & Fractal dimension.

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Citations
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Journal ArticleDOI

Pore structure and its impact on CH4 adsorption capacity and flow capability of bituminous and subbituminous coals from Northeast China

TL;DR: In this article, the surface fractals of pore surface were analyzed with surface fractal dimensions and the results showed that the more irregular surface, the more inhomogeneous pore structures is, meaning more surface area and then stronger adsorption capability.
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Fractal characterization of seepage-pores of coals from China: An investigation on permeability of coals

TL;DR: Fractal analyses for fresh coal samples from North, Northwest and Northeast China suggest that the coals have more complicated and inhomogeneous pore structures than other rocks, particularly for higher rank coals.
Journal ArticleDOI

Upscaling Hydraulic Properties and Soil Water Flow Processes in Heterogeneous Soils: A Review

TL;DR: In this article, a comprehensive review of the literature on upscaling of soil water processes and hydraulic parameters in the vadose zone is presented, in a comprehensive manner, in which the authors distinguish two categories of up-scaling methods: forward approaches requiring information about the spatial distribution of hydraulic parameters at a small scale, and inverse modeling approaches with information about spatial and temporal variation of state variables at various scales.
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Applications of fractals in soil and tillage research: a review

TL;DR: Fractals are spatial and temporal model systems generated using iterative algorithms with simple scaling rules as mentioned in this paper, and have been used to describe bulk density, pore-size distribution, polygonal surface area, particle size distribution, aggregate size distribution and ped shape and soil microtopography.
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Fractal models for predicting soil hydraulic properties: a review

TL;DR: Fractal models describe hierarchical systems and are suitable to model soil structure and soil hydraulic properties as mentioned in this paper, but typically there is no coincidence in the values of the fractal dimensions characterizing different properties.
References
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Book

The Fractal Geometry of Nature

TL;DR: This book is a blend of erudition, popularization, and exposition, and the illustrations include many superb examples of computer graphics that are works of art in their own right.
Journal ArticleDOI

Chemistry in noninteger dimensions between two and three. I. Fractal theory of heterogeneous surfaces

TL;DR: Fractal dimension D as discussed by the authors is a global measure of surface irregularity, which labels an extremely heterogeneous surface by a value far from two, and it implies that any monolayer on such a surface resembles three-dimensional bulk rather than a two-dimensional film because the number of adsorption sites within distance l from any fixed site, grows as lD.
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Small-angle X-ray-scattering investigation of submicroscopic porosity with fractal properties

TL;DR: In this article, the outer part of the small-angle x-ray or neutron scattering curve for porous scatterers in which the pore boundaries can be described by fractals was analyzed.
Journal ArticleDOI

Nature of the porosity in American coals

TL;DR: The porosity of 40 × 70 mesh size American coals, varying in rank from anthracite to lignite, has been studied using the following characterization techniques: gas adsorption, helium displacement, and mercury porosimetry.
Journal ArticleDOI

Molecular fractal surfaces

TL;DR: In this article, it was shown that at the molecular-size range, the surfaces of most materials are fractals, that is, at this range, surface geometric irregularities and defects are characteristically self-similar upon variations of resolution.
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