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基于连续分形理论的土壤非饱和水力传导度的研究
引用本文:王康,张仁铎,王富庆.基于连续分形理论的土壤非饱和水力传导度的研究[J].水科学进展,2004,15(2):206-210.
作者姓名:王康  张仁铎  王富庆
作者单位:1.武汉大学水利水电学院, 湖北, 武汉, 430072;
基金项目:国家自然科学基金资助项目(50279038,50239090)~~
摘    要:土壤的孔隙是具有连续分形性质的物理结构,根据土壤孔隙分形结构建立了非饱和水力传导度模型。模型包括综合系数、分形维数和临界体积比3个参数,综合系数为不同土壤基质势对应的非饱和水力传导度与饱和传导度之间的水力联系,与土壤质地有关;分形维数反映土壤孔隙结构对于非饱和水力传导度的作用,土壤不同尺寸孔隙之间的连通性则通过临界体积加以描述。模型具有较为明确的物理解释。将模型应用于5种不同土壤的结果表明,所提出的非饱和水力传导度模型具有较好的模拟效果。

关 键 词:连续分形理论    非饱和水力传导度    土壤    孔隙结构
文章编号:1001-6791(2004)02-0206-05
收稿时间:2002-12-19
修稿时间:2002年12月19

Continuum fractal model for unsaturated soil hydraulic conductivity
WANG Kang,ZHANG Ren-duo.Continuum fractal model for unsaturated soil hydraulic conductivity[J].Advances in Water Science,2004,15(2):206-210.
Authors:WANG Kang  ZHANG Ren-duo
Affiliation:1.Institute of Water Research and Hydraulic Engineering, Wuhan University, Wuhan 430072, China;2.University of Wyoming, Laramie, WY 87071-3354, USA
Abstract:A model for the unsaturated soil hydraulic conductivity is established based on an assumption that the soil can be represented as a continuum fractal porous medium.The model contains three physical parameters : a coefficient λ, the fractal dimension D and the critical volume fraction αc.The saturated and unsaturated hydraulic conductivities are connected by the parameter λ.The fractal dimension (D) represents the soil porous structure and the critical volume fraction (αc) which accounts for the differential porosity from the smallest pore size for continuous flow to the largest pore size in the soil.The unsaturated soil hydraulic conductivity estimated by the model is compared with the experimental data of various soils.
Keywords:continuum fractal  unsaturated soil hydraulic conductivity  soil  porous structure
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