In this paper, some steady infiltration problems from periodic channels into two-layered soils are considered. The problems are governed by a system of Richards’ equations with boundary interface conditions. To solve the problems, the system of Richards’ equations with respect to some boundary conditions are transformed into a system of steady diffusion-convection equations with respect to transformed boundary conditions. The mathematical model is solved numerically using a proposed Dual Reciprocity Method (DRM). Numerical solutions are obtained to describe the distribution of soil water potential and hydraulic conductivity in the soils. The results demonstrate how soil coarseness and saturated hydraulic conductivity affect the values of soil water potential and hydraulic conductivity.

本文考虑了从周期性渠道到两层土壤的稳定入渗问题。这些问题由具有边界界面条件的Richards方程组控制。为了解决这些问题，将关于某些边界条件的理查兹方程组转化为关于转换后的边界条件的稳态扩散对流方程组。使用提出的双重互惠方法（DRM）对数学模型进行数值求解。获得了数值解来描述土壤中水势和水力传导率的分布。结果表明，土壤粗糙度和饱和导水率如何影响土壤水势和导水率。