# fractal dimension of particle size distribution and their

### FRACTAL SCALING OF PARTICLE AND PORE SIZE

where N p represents the number of pores with radius R larger than a characteristic radius R i and D 2 is the fractal dimension of the pore size distribution. A similar equation was also proposed by these authors in their earlier work (Tyler Wheatcraft 1989) to describe soil particle size distributions taking in this case Np as the number of soil particles.

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Mar 16 2017 · Soil particle-size distribution and fractal dimension. In this study land-use pattern was found to produce highly significant effects on the fractal dimensions of PSD indicating that it is a primary factor influencing the PSD of alluvial fans in collapsing gullies.

Get Price### FRACTAL SCALING OF PARTICLE AND PORE SIZE

In the present paper data of 42 soil samples were analyzed in order to compare fractal dimensions of pore-size distribution evaluated by soil water retention curves (SWRC) of soils with fractal dimensions of soil particle-size distributions (PSD) taking the hydraulic conductivity as a standard variable for the comparison due to its relation

Get Price### Size distribution and particle shape of iron ore powder

The particle fractal dimensions of particle size distribution and texture are calculated based on fractal theory. Research shows that the size distribution of iron ores has obvious fractal characters. The fractal dimension of size distribution is significantly related with balling index and specific surface area of particle.

Get Price### Experimental and modeling investigation of sewage solids

The particle size distribution and fractal dimension data measured by Malvern® laser scattering technique have been shown to be valuable data for in-depth understanding of the mechanisms of sewage solids sedimentation.

Get Price### Size distribution and particle shape of iron ore powder

The particle fractal dimensions of particle size distribution and texture are calculated based on fractal theory. Research shows that the size distribution of iron ores has obvious fractal characters. The fractal dimension of size distribution is significantly related with balling index and specific surface area of particle.

Get Price### Fractal dimension of soil particle-size distribution

Mar 01 2012 · The research showed that soil particle size distribution had different fractal characteristics under different land use patterns its fractal dimensions were between 2.5421 to 2.6691 where silty loam > loam> sandy loam and Ds values of farmland were bigger than the woodland. Ds had a highly significant positive correlation with the volume

Get Price### The asymptotic Structure and Size Distribution of fractal

eventually their performance. The high particle concentrations encountered during nanomaterial manufacturing lead to formation of agglomerates with well-defined asymptotic structure and size distribution given by their fractal-like dimension and self-preserving size distribution respectively.

Get Price### Experimental and modeling investigation of sewage solids

The particle size distribution and fractal dimension data measured by Malvern® laser scattering technique have been shown to be valuable data for in-depth understanding of the mechanisms of sewage solids sedimentation.

Get Price### Characterisation of the ultimate particle size

The fractal dimensions computed in this manner range between 2 and 3 (Turcotte 1986 Kozak et al. 1996) with some exceptions for example Hartmann (1969) reported values of 1.89 for artificially crushed quartz and 3.54 for and ash and pumice.

Get Price### Fractal particle size distribution of pulverized fault

Apr 25 2015 · However the ATTL gouges show lower fractal dimensions D r = 2.4 (D s = 1.9) and particle size distributions that are finer than those of pulverized rocks indicating their formation under the fragmentation regimes defined by Rittinger and Bond s theories as reported from milling experiments (D r values of 2.0–2.5).

Get Price### (PDF) Soil Particle Size Distribution and Solid Fractal

The presence of gypsum in soils affects their In the present work it was compared soil physical properties greatly and affects particle- particle size distributions and fractals before and T a r ı m B i l i m l e r i D e r g i s iJ o u r n a l o f A g r i c u l t u r a l S c i e n c e s 17 (2011) 217‐229 219 Soil Particle Size

Get Price### Methodological Aspects of Fractal Dimension Estimation on

The method of determination of the fractal dimension based on particle size distribution (PSD) derived from the laser diffraction method is analysed. Discussion is provided on the impact of the PSD determination methodology on the derived fractal dimension and the possibility for characterization of soil by a single fractal approach.

Get Price### Particle shape factors and fractal dimension after large

is calculated from the slope of particle size distribution between size 0·063 mm and size of the largest particle because there is a knee at size of 0·063 mm (Zhang 1 Fractal dimension Fractal dimension

Get Price### Experimental and modeling investigation of sewage solids

The particle size distribution and fractal dimension data measured by Malvern® laser scattering technique have been shown to be valuable data for in-depth understanding of the mechanisms of sewage solids sedimentation.

Get Price### Size distribution and particle shape of iron ore powder

The particle fractal dimensions of particle size distribution and texture are calculated based on fractal theory. Research shows that the size distribution of iron ores has obvious fractal characters. The fractal dimension of size distribution is significantly related with balling index and specific surface area of particle.

Get Price### Frontiers Fragmentation Processes During Strombolian

As a result the distribution of particles generated by a volcanic explosion is fractal so that the fractal dimension D f can be used to quantify the size distribution (Kueppers et al. 2006). Hartmann (1969) found that rocks subject to a single fragmentation event break with relatively low D f values but the action of multiple fragmentation

Get Price### Fractal dimension on networksWikipedia

The box counting method. Let be the number of boxes of linear size needed to cover the given network.The fractal dimension is then given by ∼ − This means that the average number of vertices within a box of size ∼ By measuring the distribution of for different box sizes or by measuring the distribution of for different box sizes the fractal dimension can be obtained by a power law fit

Get Price### Experimental and modeling investigation of sewage solids

### Analysis of particle size and fractal dimensions of

Keywords suspension fractal dimension laser granulometer activated sludge sewage particle size distribution. Abstract The analysis of particle size in suspensions carried out with use of the laser diffraction method enables us to obtain not only information about the size of particles but also about their properties shape and spatial

Get Price### Fractal features of soil particle size distribution in

May 27 2015 · The fractal dimensions D and D1 were sensitive with fine particles with size ranging less than 126 μm and D0 was sensitive with coarse particles with size ranging between 126 μm to 2000 μm.

Get Price### Characterisation of the ultimate particle size

The fractal dimensions computed in this manner range between 2 and 3 (Turcotte 1986 Kozak et al. 1996) with some exceptions for example Hartmann (1969) reported values of 1.89 for artificially crushed quartz and 3.54 for and ash and pumice.

Get Price### (PDF) Soil Particle Size Distribution and Solid Fractal

To evaluate the effect of pretreatment on soil particle-size distribution four different types of particle size distributions and fractal dimension values were obtained. Treatments included 1

Get Price### Fractal dimension of soil particle-size distribution

Mar 01 2012 · The research showed that soil particle size distribution had different fractal characteristics under different land use patterns its fractal dimensions were between 2.5421 to 2.6691 where silty loam > loam> sandy loam and Ds values of farmland were bigger than the woodland. Ds had a highly significant positive correlation with the volume

Get Price### Fractal Feature of Particle-Size Distribution in the

Sep 14 2015 · energy flow and nutrient recycling most frequently occur. We used fractal dimensions to investigate the characteristics of particle-size distribution (PSD) in the rhizospheres and bulk soils of six croplands abandoned for 1 5 10 15 20 and 30 years on the Loess Plateau of

Get Price### Impact of Coseismic Frictional Melting on Particle Size

Dec 10 2020 · The size distribution of marginally fragmented host-rock (gouge) particles in the tonalite specimen has a lower fractal dimension (D ∼ 2.4) than that of clasts in pseudotachylite and does not show a different fractal dimension for very small particles (Table 3 Figure 3).

Get Price### Fractal Dimension Scientific.Net

Abstract Based on the particle size distribution test of 6 kinds of limestone powder the fractal dimension of particle size distribution was calculated and its influence on the surface area median grain diameter and RR-B value was studied.

Get Price### Evaluation of particle size distribution of granular

Oct 09 2019 · Tyler 16 and Tyler and Wheatcraft 17 extended the three-dimensional (3D) spatial fractal model for particle size distribution and established a mass fractal model for particle size distribution thus forming a theoretical foundation for exploring the

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Jul 11 2019 · Fractal theory has been frequently applied to quantify soil particle-size distributions (PSDs) and evaluate soil degradation. Eolian desertification occurring on the eastern Qinghai-Tibet Plateau is threatening the ecological environment.

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