恒定地表积水入渗的解析模式
Analytical model of infiltration under constant surface ponding
摘要：
本文给出了一维非线性Richards方程的解析解，该方程适用于均匀初始含水量的土壤在恒定积水深度下的入渗问题。所采用的土壤水扩散率和电导率的数学形式是足够灵活的模拟一系列的真实土壤。该解决方案采取的形式的幂级数在$\sqrt t$，但观察到收敛不仅为小的时间，但也为相对较大的时间，在行波样的行为是明显的。该解决方案是用来制表精确的渗透系数与高阶校正的土壤性质的自然非线性极限接近。以前公布的近似解决方案，适用于广泛的土壤性质进行测试，对精确的解决方案，并发现是足够准确的。
英文摘要：
An analytical solution of the nonlinear Richards equation is presented, for one-dimensional infiltration into a soil of uniform initial moisture content subject to a constant depth of surface ponded water. Adopted mathematical forms of the soil water diffusivity and conductivity are flexible enough to model a range of real soils. The solution takes the form of a power series in $\sqrt t$, but is observed to converge not only for small times but also for relatively large times at which travelling-wave-like behavior is evident. The solution is used to tabulate exact infiltration coefficients with higher-order corrections as the natural nonlinear limit of soil properties is approached. Previously published approximate solutions that apply for a wide range of soil properties are tested against the exact solution and found to be sufficiently accurate.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
