砂细度模数的分形应用分析

Application of Fractal Geometry Theory to Study on Sand Fineness Modulus

道路建设用砂在其形成和使用过程中呈现出一系列的分形特征,通过分形理论对砂分形维数的分析,建立砂细度模数与分形维数之间的相关关系,并在此基础上分析了道路用砂各级颗粒含量与分形维数之间的相关性。结果表明,0.6mm筛孔上的筛余物为分形维数正负关系的转折点,而0-0.15mm筛孔上的筛余物和1.18-2.36mm筛孔上的筛余物对分形维数的增减有较大影响。

In the process of road construction sand formation and use,road construction sand presents a series of sub-type features. Through fractal theory,this paper analyzes the sand fractal dimension,mainly wants to establish the correlation between sand fineness modulus and fractal dimension,based on the relationships,then analyzes the relevance of the road particle content levels sand and fractal dimension.The result shows that sieve residue on the 0. 6mm mesh is a turning point between positive and negative relationship of fractal dimension,and the sieve residue on 0 - 0. 15 mm and 1. 18 - 2. 36 mm mesh has a great impact on the change of fractal dimension.