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arXiv 1301.0772physics.geo-phphysics.flu-dyn
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基于截断对数正态孔隙的非饱和导水率模型-- size Distributions

Unsaturated Hydraulic Conductivity Models Based on Truncated Lognormal Pore-size Distributions

Bwalya Malama, Kristopher L. Kuhlman

摘要:

我们开发了一个封闭形式的三参数模型与小杉三参数对数正态水分保持模型的非饱和导水率。模型推导对Mualem的理论进行了轻微修改,该理论对非粘土几乎是精确的。小杉的三参数对数正态水分保持模型使用物理上有意义的参数,但相应的封闭形式的相对导水率模型从未被开发。通过在物理允许的最小和最大孔隙半径处截断潜在的孔隙尺寸分布,该模型进一步扩展为四参数模型。建议的封闭形式的模型拟合到众所周知的实验数据,以说明其实用性。它们与小杉的双参数模型具有相同的物理基础,但更一般。

英文摘要:

We develop a closed-form three-parameter model for unsaturated hydraulic conductivity associated with the Kosugi three-parameter lognormal moisture retention model. The model derivation uses a slight modification to Mualem's theory, which is nearly exact for non-clay soils. Kosugi's three-parameter lognormal moisture retention model uses physically meaningful parameters, but a corresponding closed-form relative hydraulic conductivity model has never been developed. The model is further extended to a four -parameter model by truncating the underlying pore size distribution at physically permissible minimum and maximum pore radii. The proposed closed-form models are fitted to well-known experimental data, to illustrate their utility. They have the same physical basis as Kosugi's two-parameter model, but are more general.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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