考虑颗粒密度的细粒土分形特征研究  

Study on Fractal Features of Fine-grained Soil Considering Particle Density

作　　者：林泽雨 黄炽辉 LIN Zeyu;HUANG Chihui(Guangdong Hydropower Planning&Design Institute Co.,Ltd.,Guangzhou 510635,China;South China University of Technology,Guangzhou 510640,China)

机构地区：[1]广东省水利电力勘测设计研究院有限公司,广州510635 [2]华南理工大学土木与交通学院,广州510640

出　　处：《广东水利水电》2023年第6期15-20,共6页Guangdong Water Resources and Hydropower

摘　　要：以广东地区两大水利工程项目的原状土为研究对象,针对细粒土颗粒结构的复杂性和不规则性,基于分形理论和数理统计,提出了考虑颗粒密度的细粒土质量分形维数模型,建立了细粒土质量分形维数预测方程,讨论了质量分形维数与宏观物理特性的关系。结果表明:考虑颗粒密度的质量分形维数模型具有更好的适用性;细粒土的质量分形维数与粉粒含量呈较强的负相关,与胶粒含量呈较强的正相关,以此建立的质量分形维数预测方程具有较好的预测效果,并初步确定了细粒土质量分形维数的变化区间为(2.674,2.921);仅用质量分形维数无法直接判断细粒土界限含水率的高低或可塑性的强弱。研究结果为今后细粒土的分形理论研究打下了基础。Taking the undisturbed soil of two major water conservancy projects in Guangdong as the research object,aiming at the complexity and irregularity of the particle structure of fine-grained soils,based on fractal theory and mathematical statistics,a mass fractal dimension model of fine-grained soil considering particle density was proposed,the prediction equation of mass fractal dimension of fine-grained soil was established,and the relationship between mass fractal dimension and macroscopic physical properties was discussed.The results showed that the mass fractal dimension model considering particle density has better applicability;the mass fractal dimension of fine-grained soil has a strong negative correlation with the silt particle,and a strong positive correlation with the colloidal particle,the prediction equation of mass fractal dimension based on these correlations has a good predictive effect,and the change interval of the mass fractal dimension of fine-grained soil is preliminarily determined to be(2.674,2.921);only using the mass fractal dimension cannot directly judge the level of the limiting moisture content or the strength of plasticity of fine-grained soil.The research results laid the foundation for future research on fractal theory of fine-grained soils.

关 键 词：细粒土 质量分形维数 颗粒密度 粒径分布 界限含水率 

分 类 号：TU411[建筑科学—岩土工程]