论文标题
评估多模式不饱和土壤液压特性的一般模型
Evaluation of a general model for multimodal unsaturated soil hydraulic properties
论文作者
论文摘要
许多土壤和其他多孔介质具有双孔或多孔隙式特征。在先前的研究（Seki等，2022）中，我们提出了此类介质的多模式保留和封闭形式的液压电导率方程。这项研究的目的是表明所提出的方程实际上是有用的。 Specifically, dual-BC (Brooks and Corey)-CH (common head) (DBC), dual-VG (van Genuchten)-CH (DVC), and KO (Kosugi)$_1$BC$_2$-CH (KBC) models were evaluated for a broad range of soil types.这三个模型与在广泛的压力头上测得的水位保留和液压电导率数据表现出良好的一致性。通过首先优化水保留参数，然后优化饱和液压电导率（K_S）和两个参数（P，Q）或（P，R）在一般的液压电导率方程中获得结果。尽管通常对曲折性因子P进行了优化，并且（q，r）固定，但灵敏度分析表明，多模型模型需要优化两个参数（P+R，QR）。对于来自UNSODA数据库的20个土壤，对于r = 1的KBC模型，对数的平均$ r^2 $（液压电导率）最高（0.985），并且优化（ks，p，q）。该结果几乎等效（0.973）与Q = 1的DVC模型和（KS，P，R）的优化；优化时使用广泛使用的Peters型号（0.956）的两者都高于$ r^2 $（KS，P，A，$ω$）。所提出的方程式对于实际应用很有用，同时数学上是简单且一致的。
Many soils and other porous media exhibit dual- or multi-porosity type features. In a previous study (Seki et al., 2022) we presented multimodal water retention and closed-form hydraulic conductivity equations for such media. The objective of this study is to show that the proposed equations are practically useful. Specifically, dual-BC (Brooks and Corey)-CH (common head) (DBC), dual-VG (van Genuchten)-CH (DVC), and KO (Kosugi)$_1$BC$_2$-CH (KBC) models were evaluated for a broad range of soil types. The three models showed good agreement with measured water retention and hydraulic conductivity data over a wide range of pressure heads. Results were obtained by first optimizing water retention parameters and then optimizing the saturated hydraulic conductivity (K_s) and two parameters (p, q) or (p, r) in the general hydraulic conductivity equation. Although conventionally the tortuosity factor p is optimized and (q, r) fixed, sensitivity analyses showed that optimization of two parameters (p+r, qr) is required for the multimodal models. For 20 soils from the UNSODA database, the average $R^2$ for log (hydraulic conductivity) was highest (0.985) for the KBC model with r=1 and optimization of (Ks, p, q). This result was almost equivalent (0.973) to the DVC model with q=1 and optimization of (Ks, p, r); both were higher than $R^2$ for the widely used Peters model (0.956) when optimizing (Ks, p, a, $ω$). The proposed equations are useful for practical applications while mathematically being simple and consistent.
