Eurasian Soil Science ( IF 1.4 ) Pub Date : 2022-04-20 , DOI: 10.1134/s106422932206014x Jagadish Talukdar 1 , Gautam Barua 1
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Abstract
An analytical solution is developed for the one-dimensional steady-state infiltration equation for an inclined Van Genuchten heterogeneous soil with a sink term (i.e., with a root-water extraction term). The solution can account for any valid spatial variations of the parameters of the equation including spatial variations of the sink term in an infiltrating space. The correctness of the developed solution is being checked by comparing with an existing analytical solution for a relatively simple infiltration situation; also, an experimental and a numerical check on the same have also been carried out. The study shows that infiltration on a heterogeneous Van Genuchten soil is a highly complex process involving many variables and that the spatial variations of these variables in such a soil may greatly influence the infiltration mechanics associated it, both when a root-water function is present in the soil and when it is absent. It has also come out of the study that the use of the Mualem-Van Genuchten’s hydraulic conductivity ratio model [17] in carrying out infiltration studies in heavy soils of less textural homogeneity is not always justifiable; for such soils and probably soils in general, Terleev et al.’s conductivity ratio model [64] can be the right choice for infiltration studies as this model works well in both light as well as heavy soils of homogeneous or less homogeneous texture. However, for light sandy and loamy soils of good textural homogeneity, the application of the Mualem-Van Genuchten’s conductivity model for infiltration studies can be considered as mostly acceptable.
中文翻译：
具有根水提取功能的非均质土壤的一维稳态 Van Genuchten 入渗方程的解析解
摘要
为具有汇项（即具有根水提取项）的倾斜 Van Genuchten 异质土壤的一维稳态入渗方程开发了解析解。该解决方案可以解释方程参数的任何有效空间变化，包括渗透空间中汇项的空间变化。针对相对简单的渗透情况，通过与现有分析解决方案进行比较来检查开发解决方案的正确性；此外，还对其进行了实验和数值检查。研究表明，对非均质 Van Genuchten 土壤的入渗是一个高度复杂的过程，涉及许多变量，并且当土壤中存在根水函数时，这些变量在这种土壤中的空间变化可能会极大地影响与之相关的入渗力学。土壤和当它不存在时。研究还表明，使用 Mualem-Van Genuchten 的导水率模型 [17] 在质地均匀性较差的重土壤中进行渗透研究并不总是合理的。对于此类土壤和可能的一般土壤，Terleev 等人的电导率模型 [64] 可能是渗透研究的正确选择，因为该模型在均质或质地较不均质的轻质土壤和重质土壤中均适用。然而，
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