In this study, we developed a new general approach to estimate the macroscopic capillary length () using different hydraulic function models and related shape parameters, along with the Haverkamp infiltration model constant. We next applied this new approach to the van Genuchten model coupled with a Burdine condition (vGB) to estimate . Then, we applied the new computation to three different methods for estimating saturated hydraulic conductivity (), and analyzed two sets of constant infiltration data: 1) an analytically generated Beerkan-type dataset and 2) constant head and Beerkan-type infiltration tests performed at the Ambarköprü Experimental Station of Blacksea Agricultural Research Institute in Samsun, Turkey. Our new approach provided accurate estimates when applied to the analytical Beerkan infiltration data. The highest error was observed for a silt soil, with 30 % error for one formulation versus <15 % for the others. For synthetic coarse-textured soils such loamy sand and sandy loam, the error was <10 %. For the field data and Beerkan-type experiments, the new approach gave consistent estimates of regardless of analytical interpretation. However, ANOVA analysis revealed that varied between different infiltration test types, with constant head infiltrometry with 5 cm of applied water head having greater values than the Beerkan tests (p < 0.05). Estimated values also differed between land use types (p < 0.01), with a maize field having significantly greater compared to a soybean field. Overall, we conclude that the proposed approach represents an efficient and appropriate method for characterizing point-scale saturated hydraulic conductivity, so long as experimental artifacts such as ring insertion deep and preferential flows are considered.

中文翻译：

---

Ks 估计使用根据土壤水力形状系数和 Haverkamp 渗透模型估计的宏观毛细管长度


在这项研究中，我们开发了一种新的通用方法，使用不同的水力函数模型和相关形状参数以及 Haverkamp 渗透模型常数来估计宏观毛细管长度 ()。接下来，我们将这种新方法应用于 van Genuchten 模型，并结合 Burdine 条件 (vGB) 来估计 。然后，我们将新的计算应用到三种不同的方法来估计饱和导水率 ()，并分析了两组恒定渗透数据：1) 分析生成的 Beerkan 型数据集和 2) 在土耳其萨姆松黑海农业研究所 Ambarköprü 实验站。当应用于分析 Beerkan 渗透数据时，我们的新方法提供了准确的估计。淤泥土壤的误差最高，一种配方的误差为 30%，而其他配方的误差为 <15%。对于合成粗质地土壤，如壤质沙和沙壤土，误差为<10%。对于现场数据和 Beerkan 型实验，无论分析解释如何，新方法都给出了一致的估计。然而，方差分析显示，不同渗透测试类型之间存在差异，使用 5 厘米水头的恒定水头渗透测量法具有比 Beerkan 测试更大的值 (p < 0.05)。土地利用类型之间的估计值也有所不同 (p < 0.01)，玉米田的估计值明显高于大豆田。总的来说，我们得出的结论是，只要考虑环插入深度和优先流等实验工件，所提出的方法代表了一种有效且合适的表征点尺度饱和导水率的方法。