粒状土孔隙率与其颗粒级配的分形关系  

The Fractal Relationship between the Porosity of Granular Soil and Its Particle Gradation

作　　者：朱永和 刘颜珲 尚柯 孙红义 方旭东 ZHU Yonghe;LIU Yanhui;SHANG Ke;SUN Hongyi;FANG Xudong(Jianghe Anlan Engineering Consulting Co.,Ltd.,Zhengzhou 450000,China;Yellow River Engineering Consulting Co.,Ltd.,Zhengzhou 450000,China;Nanjing Hydraulic Research Institute,Nanjing 210000,China)

机构地区：[1]江河安澜工程咨询有限公司,郑州450000 [2]黄河勘测规划设计研究院有限公司,郑州450000 [3]南京水利科学研究院,南京210000

出　　处：《科技和产业》2024年第7期130-134,共5页Science Technology and Industry

基　　金：中国博士后科学基金(2019M712949)。

摘　　要：粒状土是填(构)筑地基、路基和土石坝等构筑物最常用的工程材料之一。对粒状土孔隙空间的研究有助于揭示其粒状结构承受和传递外力的机理。以仿真颗粒的相互作用为基础的颗粒离散元法是研究粒状土力学行为的有力有效工具。然而,仿真计算所耗时间与颗粒数量成正比,在计算颗粒数量较多的大模型时会受计算机计算性能的制约,阻碍了颗粒离散元法在工程中的普及。为了减小颗粒数量,常常忽略粒状土中细小的颗粒,带来的问题是,颗粒体的孔隙率被低估,同时影响粒状土中力的传递。借助颗粒流离散元法开展一系列仿真试验。结果表明,模型孔隙率随着最小颗粒粒径的变小而变小且两者呈分形关系。基于分形理论建立粒状堆积体孔隙率与最小粒径的数学关系。研究结果可用于提高颗粒流(或计算流体动力学-离散元法耦合)模型计算的准确性和效率。Granular soil is one of the most commonly used engineering materials for filling(constructing)structures such as foundations,roadbeds,and earth-rock dams.Research on the pore space of granular soil is helpful to reveal the mechanism by which its granular structure withstands and transmits external forces.The particle discrete element method based on simulating the interaction of particles is a powerful and effective tool for studying the mechanical behavior of granular soil.However,the simulation calculation time is proportional to the number of particles.When calculating large models with a large number of particles,it will be restricted by computer computing performance,which hinders the popularity of the particle discrete element method in engineering.In order to reduce the number of particles,fine particles in granular soil are often ignored.The problem is that the porosity of the particles is underestimated,which also affects the transmission of force in the granular soil.A series of simulation experiments were carried out using the particle flow discrete element method.The results show that the model porosity decreases as the minimum particle size decreases,and the two have a fractal relationship.Based on fractal theory,the mathematical relationship between the porosity and the minimum particle size of granular accumulations is established.The research results can be used to improve the accuracy and efficiency of particle flow(or computational fluid dynamics-discrete element method coupling)model calculations.

关 键 词：粒状土 分形维数 颗粒级配 孔隙率 

分 类 号：TU43[建筑科学—岩土工程]