Abstract

The aim of this study is to model the water-retention capacity and the relative hydraulic conductivity of the soil as a capillary-porous medium, as well as to verify the proposed models in comparison with the well-known world analogues. This aim is achieved by solving the following tasks: (1) description of the soil hydrophysical properties in the form of three systems of functions with corresponding sets of common parameters, (2) verification of these systems by evaluating the relative hydraulic conductivity and scanning branches of the water-retention capacity using parameters identified from the literature data on the main branches of the water-retention capacity hysteresis for the 3501 Rubicon sandy loam; (3) application of the equality of exponential parameter values in the calculations of the drying and wetting branches of hysteresis loop to eliminate the artificial “pump effect”; (4) study of the influence of the additive parameter on the errors of the point approximation of data on the main branches of the water-retention capacity, as well as on the errors of estimating the relative hydraulic conductivity and scanning branches of the water-retention capacity hysteresis; and (5) identification of significant differences between the errors of these estimates according to the Williams–Kloot criterion for choosing the best system of functions. Application of the proposed models seems to be preferable for solving the problems of irrigation farming, such as forecasting the water availability of crops and calculating precision irrigation rates.

中文翻译：

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考虑滞后作用的土壤保水能力和相对导水率的功能描述

摘要

本研究的目的是模拟作为毛细多孔介质的土壤的保水能力和相对水力传导率，并与世界知名的类似物进行比较来验证所提出的模型。这个目标是通过解决以下任务来实现的：（1）以三个函数系统的形式描述土壤水物理特性，并具有相应的公共参数集，（2）通过评估相对水力传导率和扫描分支来验证这些系统使用从关于 3501 Rubicon 砂壤土的保水能力滞后主要分支的文献数据中确定的参数的保水能力；(3) 在磁滞回线干湿支计算中应用指数参数值的相等性，消除人为的“泵效应”；(4) 研究了加性参数对保水能力主要分支数据点近似误差的影响，以及对水体相对导水率和扫描分支估计误差的影响。保持能力滞后；(5) 根据用于选择最佳函数系统的 Williams-Kloot 标准，确定这些估计误差之间的显着差异。建议模型的应用似乎更适合解决灌溉农业问题，例如预测作物的可用水量和计算精确灌溉率。