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