Heterogeneity Analysis of Particle Size Distribution for Loamy Soil Based on Multifractal Theory
Lv Ye · Yingyong jichu yu gongcheng kexue xuebao · 2009
oil particle size distribution is one of the fundamental soil physical properties affected soil hydraulic properties.In order to quantitatively describe the heterogeneity of loamy soil particle size distribution,the technology of laser grain-size analysis was applied to measure the equivalent diameter and particle size distribution of six loamy soil samples,and the heterogeneity characteristics of soil particle size distribution was analyzed with fractal and multifractal theory,the fractal dimensions D,multifractal parameters as singularity index α and its corresponding spectral function f(α) was calculated,therefore,the fractal dimensions and the multifractal spectra curves of soil samples were obtained.The results showed that:the particle size distribution of loamy soil exhibits fractal and multifractal characteristics,and the fractal can only describe the whole characteristics of the soil paticle size distribution,but the heterogeneity of soil particle size distribution can be described quantitatively by the width of multifractal spectra Δα,a greater Δα means a wider spectra and more heterogeneous distribution on the particle size,and the heterogeneity of loamy soil particle size distribution offected by clay and sand-grain content.The multifractal provides an accurate analysis method to quantitatively study the heterogeneity of soil particle size distribution.