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李淑娥, 陈志明, 徐永福, 徐宇冉, 康峰沂, 杜仲宝. 基于颗粒分布分形模型毛细水上升高度理论[J]. 岩土工程学报. DOI: 10.11779/CJGE20230426
引用本文: 李淑娥, 陈志明, 徐永福, 徐宇冉, 康峰沂, 杜仲宝. 基于颗粒分布分形模型毛细水上升高度理论[J]. 岩土工程学报. DOI: 10.11779/CJGE20230426
Capillary water height of silt with fractal grain distribution[J]. Chinese Journal of Geotechnical Engineering. DOI: 10.11779/CJGE20230426
Citation: Capillary water height of silt with fractal grain distribution[J]. Chinese Journal of Geotechnical Engineering. DOI: 10.11779/CJGE20230426

基于颗粒分布分形模型毛细水上升高度理论

Capillary water height of silt with fractal grain distribution

  • 摘要: 由表面张力引起的弯液面两侧压力差推动毛细水上升,造成低路堤路基产生翻浆冒泥现象,毛细水上升高度是防治路基翻浆冒泥的关键所在。本文克服了毛细水上升高度测量试验缺陷,根据颗粒分布的分形模型提出毛细水上升高度的计算方法。采用筛分试验分析粉土颗粒分布规律,建立粉土颗粒级配的分形模型,系统地分析分维、进气值、孔隙率、毛细水最大上升高度和饱和渗透系数对毛细水上升高度和速度的影响。计算结果表明:毛细水上升高度与时间呈幂函数正相关关系,毛细水上升速度只与颗粒分布的分维有关,不受进气值、孔隙率、毛细水最大上升高度和饱和渗透系数的影响;颗粒分布分维越大,毛细水上升速度越大。

     

    Abstract: The capillary water, which is driven to rise due to the pressure difference on both sides of the meniscus caused by surface tension, cause the phenomenon of mud boiling and mud seepage in the silt roadbed. The rising height of capillary water is the key to preventing and controlling mud boiling and mud seepage in the roadbed. A calculation method to calculate the rising height of capillary water based on particle distribution characteristics is proposed on the basis of overcoming the experimental defects in measuring the height of capillary water. Based on the grain size distribution analyzed by the sieving tests, a fractal model for the grain size distribution of silt is established to systematically analyze the effects of fractal dimension, porosity, air-entry value and saturated permeability coefficient on the rising height and velocity of capillary water. The calculation results show that the rising height of capillary water is positively correlated with the time as a power function, and the rising speed of capillary water is only related to the fractal dimension of particle distribution, but not related to the porosity, air-entry value and the saturated permeability coefficient; the rising speed of the capillary water increases as the increase in the fractal dimension of silt grain size distribution.

     

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