基于柯森卡门公式和粒径的饱和土体渗透系数预测  

Saturated hydraulic conductivity prediction for soils based on Kozeny-Carman equation and particle size

作　　者：刘金阳 许成波 徐用之 任兴伟 LIU Jinyang;XU Chengbo;XU Yongzhi;REN Xingwei(Faculty of Engineering,China University of Geosciences(Wuhan),Wuhan 430074,China;Yunnan Wanshun Geo-Information Technology Co.,Ltd.,Kunming 650041,China;Yunnan Geological Engineering Survey Co.,Ltd.,Kunming 650051,China;Wuhan Urban Construction Group,Wuhan 430062,China)

机构地区：[1]中国地质大学(武汉)工程学院,湖北武汉430074 [2]云南万顺地科信息技术有限责任公司,云南昆明650041 [3]云南省地质工程勘察有限公司,云南昆明650051 [4]武汉城建集团,湖北武汉430062

出　　处：《安全与环境工程》2025年第2期143-150,177,共9页Safety and Environmental Engineering

基　　金：国家自然科学基金项目(42372319)。

摘　　要：渗透系数是土体最重要的水力参数之一,如何快速、准确地估测渗透系数是岩土力学界的重要课题。粒径是土体最容易获取的基本物理指标参数,其通过影响土体内部孔隙结构间接影响土体渗透特性。为了利用粒径来预测饱和土体渗透系数,根据目前适用范围最广泛的柯森卡门(Kozeny-Carman)公式,分别考虑了土体自然颗粒堆积较为松散和致密2种状态,利用等效圆球颗粒半径替代2种状态中较难获取的比表面积、孔隙比等参数来改进柯森卡门公式。结果表明:改进后的公式可以预测饱和土体不同粒径下渗透系数的界限,通过取2种临界状态孔隙比的均值,建立了更便捷的饱和土体渗透系数预测模型;通过数值模拟、渗透试验等方法验证了该模型在预测等效颗粒半径大于5×10^(-5) mm的饱和土体渗透系数时准确性较高。Saturated hydraulic conductivity is one of the most crucial hydraulic parameters in soils.Estimating the saturated hydraulic conductivity rapidly and accurately has always been a significant challenge in the field of geotechnical engineering.Particle size is one of the most readily obtainable fundamental physical parameters in soils,and it indirectly influences the permeability characteristics by affecting the internal pore structure of soils.To predict the hydraulic conductivity of saturated soils more conveniently using readily available particle size data,we modified the widely applicable Kozeny-Carman equation,considering both the loose and dense states of natural particle packing.We used the equivalent spherical particle radius to replace parameters such as specific surface area and void ratio,which are harder to obtain directly,to improve the Kozeny-Carman equation.The results demonstrate that the improved equation can predict the hydraulic conductivity limits of saturated soils with different particle sizes,and by taking the mean void ratio of these two critical states,it offers a more convenient prediction model for saturated soil hydraulic conductivity.Numerical simulation,laboratory tests and other methods verify the good accuracy of the model radius in predicting the hydraulic conductivity of saturated soils with an equivalent particle radius greater than 5×10^(-5) mm.

关 键 词：饱和土 渗透系数 柯森卡门公式 等效颗粒半径 

分 类 号：X93[环境科学与工程—安全科学] TU43[建筑科学—岩土工程]