Multi-fractal characteristics of particle size distribution of granular backfilling materials under different loads

We study the grinding dynamic behavior and particle size distribution (PSD) characteristics of tuff powder. With the analysis of particle size and data of activity test, the results indicate that tuff powder is easy to be ground for the coarse-grained while is difficult for the fine-grained. It is feasible to quantitatively express the milling process of tuff powder by Divas-Aliavden milling dynamic equation. The milling speed and the milling time are negatively correlated, and the grinding efficiency is minimized after 60 min. Equivalent particle size (EPS) is positively linearly correlated with the logarithm of grinding time, while specific surface area (SSA) is inversely correlated, both of them have a highly linear correlation. The PSD of tuff powder, which complies well with the Rosin-Rammler-Bennet (RRB) distribution model, has typical fractal characteristics, and its fractal dimension is also positively correlated with the milling time.

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Optimizing the particle size distribution of drill-in fluids based on fractal characteristics of porous media and solid particles

Journal of Petroleum Science and Engineering ◽

10.1016/j.petrol.2018.08.051 ◽

2018 ◽

Vol 171 ◽

pp. 1223-1231 ◽

Cited By ~ 6

Author(s):

Lijun You ◽

Qigui Tan ◽

Yili Kang ◽

Xiwen Zhang ◽

Chengyuan Xu ◽

...

Keyword(s):

Particle Size ◽

Porous Media ◽

Particle Size Distribution ◽

Size Distribution ◽

Solid Particles ◽

Fractal Characteristics

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Numerical Simulation of Rockfill Materials Based on Fractal Theory

Applied Sciences ◽

10.3390/app12010289 ◽

2021 ◽

Vol 12 (1) ◽

pp. 289

Author(s):

Hongxing Han ◽

Yun Ma ◽

Wei He ◽

Weifang Yang ◽

Xudong Fu

Keyword(s):

Particle Size ◽

Fractal Dimension ◽

Particle Size Distribution ◽

Size Distribution ◽

Fine Particles ◽

Mechanical Performance ◽

Fractal Theory ◽

Two Dimensions ◽

Performance Indexes ◽

Fractal Characteristics

With the use of the particle flow code in two dimensions, a fractal model is established with the number of particles of different particle fractions used as the statistics to study the fractal characteristics of particle size distribution. Numerically simulated specimens obtained by four scale methods are subjected to the relative density test and the biaxial compression test to explore the influences of fractal dimension D on the macroscopic and mesomechanical properties of specimens, as well as to study the relationship between fractal dimension D and different mechanical performance indexes. Results show that the particle size distribution of each of the four groups after scale exhibits fractal characteristics, with the fractal dimension D ranging from 1.27 to 2.03. The number of fine particles in the specimen increases with the fractal dimension D, the particle aggregates become more compact, the macroscopic mechanical properties of the specimens are improved, and a linear relationship exists between the fractal dimension D and different mechanical performance indexes. A large fractal dimension D corresponds to a great mesoparticle coordination number.

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