Closed‐Form Model for Hydraulic Properties Based on Angular Pores with Lognormal Size Distribution
Closed‐Form Model for Hydraulic Properties Based on Angular Pores with Lognormal Size Distribution
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DOI：
10.2136/vzj2014.07.0096
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发表时间：
2015-02
影响因子：
2.8
通讯作者：
E. Diamantopoulos;W. Durner
中科院分区：
文献类型：
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作者：
E. Diamantopoulos;W. Durner
我们以前提出了一个数学模型的滞后土壤水力特性的基础上束角孔。假设孔径的伽马密度分布，通过分析完成了样品尺度水力特性的放大。获得封闭形式解所需的参数约束限制了模型对具有宽孔隙尺寸分布的土壤的适用性。本研究的目的是通过基于孔径分布的对数正态密度函数开发新的解析解来改进模型。推导出样品尺度下液体保留率、饱和-不饱和水力传导率、液-气界面面积和比表面积的闭合形式表达式。新模型应用于三种具有不同孔径分布的土壤的保留和电导率数据。结果表明，原模型仅适用于桑迪，而新模型能较好地描述更广泛土壤类型的土壤水力功能。
We previously presented a mathematical model for hysteretic soil hydraulic properties based on bundles of angular pores. Upscaling to sample‐scale hydraulic properties was done analytically, assuming a Gamma density distribution of pore sizes. The required parameter constraint for getting the closed‐form solution limited the model's applicability for soils with wide pore‐size distributions. The objective of this study was to improve the model by developing a new analytical solution based on a lognormal density function of the pore‐size distribution. Closed‐form expressions were derived for liquid retention, saturated–unsaturated hydraulic conductivity, liquid–vapor interfacial area, and specific surface area at the sample scale. The new model was applied to retention and conductivity data for three soils with different pore‐size distributions. The results show that the previous model is suitable only for sandy materials, whereas the new one describes the soil hydraulic functions of a wider range of soil types quite well.