摘要

A simple and approximate analytical solution of a one-dimensional horizontalabsorption equation is of great importance for measuring soil hydraulic properties. Several methods for determining the parameters of the Brooks-Corey (BC) model are promising, but all are based on assumptions to some degree. We have developed a new analytical solution for one-dimensional horizontal constant-saturation absorption based on the least-action and variational principles. The profiles of soil-water content (SWC) calculated by the new method were very agreeable with numerical solutions, especially for high water contents. A comparison with a numerical solution calculated by HYDRUS1D indicated that the analytical solution accurately estimated the BC model parameters for calculating the profile of SWC, cumulative infiltration, infiltration rate, and wetting-front distance (WFD). We also compare the merits and demerits between the new analytical method and other approximate methods. The proposed analytical method provides a new and approximate method to predict the distribution of SWC and estimate the BC model parameters.