2007•T'u Jang T'ung PaoRequires access

The Modeling and Application of the Surface Fractal Dimension Model of Single Particle-A Case Study by Using 5 Kinds of Soil Particles in South China

Xiaofang Hu

Abstract

A mathematical model was set up to calculate the surface fractal of single particle.The surface fractal of single particles samples was measured and calculated based on a high precision digital optics micro-system.A simple analytical method was generated to calculate the surface fractal of single particle.In addition,we put forward the conception of mid-position fractal dimension to characterize the average surface fractal of particle group,and proved the reasonability of fulfiling the conception mid-position fractal dimension to characterize the average surface fractal of particle group.

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Key concepts: Fractal dimension, Fractal, Fractal dimension on networks, Fractal derivative, Fractal landscape, Particle (ecology), Surface (topology), Position (finance)