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Modeling of Surface Fractal Dimension of Clay Particles and Its Application

Xiaofang Hu

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Abstract

A mathematical model was built up for calculating surface fractal dimension of clay particles. Clay samples were collected and measured for surface fractal dimension of clay particles using a high precision digital optical microscopic system. Results of the experiment showed that the mathematic model was rational and proved to be a simple method for analysis of surface fractal dimension of clay particles.

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What this paper is about

A mathematical model was built up for calculating surface fractal dimension of clay particles. Clay samples were collected and measured for surface fractal dimension of clay particles using a high precision digital optical microscopic system. Results of the experiment showed that the mathematic model was rational and proved to be a simple method for analysis of surface fractal dimension of clay particles.

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Available abstract

A mathematical model was built up for calculating surface fractal dimension of clay particles. Clay samples were collected and measured for surface fractal dimension of clay particles using a high precision digital optical microscopic system. Results of the experiment showed that the mathematic model was rational and proved to be a simple method for analysis of surface fractal dimension of clay particles.

Key concepts: Fractal dimension, Fractal, Surface (topology), Dimension (graph theory), Fractal dimension on networks, Materials science, Fractal analysis, Mathematics

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