考虑颗粒排列的土体几何迂曲度模型
Model for tortuosity of soil considering geometric arrangement of particles
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摘要: 迂曲度反映了流体在土颗粒中的流动路径,是研究土体透水透气性质的重要参数。目前研究通常认为迂曲度仅与孔隙率有关,但不同文献的迂曲度表达式存在一定差异,造成差异的原因可能是存在其他影响迂曲度的因素。建立了流体在层流状态下通过正方形颗粒的物理模型,通过确定颗粒间位置关系和流径的几何关系,提出了迂曲度计算模型。同时,对比结果表明本文模型的计算结果与数值模拟结果、文献中试验结果存在很好的一致性,证明了模型的有效性。最后,分析了颗粒排列分布对迂曲度的影响,确定了迂曲度的取值区域。提出的模型证实:颗粒的迂曲度不是孔隙率的单一函数,排列分布也对迂曲度有影响。Abstract: Tortuosity is an important parameter in studying the permeability of soil, which reflects the flow path of fluid in soil particles. In literatures, the tortuosity is considered to be solely related to the porosity of soil. However, the expressions for the tortuosity vary greatly in the previous studies. It may be caused by some other unconsidered factors. The physical model for fluid passing through square particles in laminar flow state is established in this study. The results show that the proposed model agrees well with the numerical simulation results and the experimental results in the literatures. Finally, the influences of particle arrangement and distribution on the tortuosity are analyzed, and the value region of the tortuosity is determined. It is concluded that the tortuosity of particles relates to the porosity of soil and the distribution of particles.