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本文讨论了土壤水—维不饱和水平流方程的解析解问题.文中首先根据土壤水扩散率D与土壤含水量θ之间的经验关系.对原土壤水—维不饱和流方程作变量代换,将方程变为易于求解的形式,然后采用变量分离的方法并结合Boltzmann变换法进行求解.从而得出了解析表达式.同时这个解析解在土壤水—维水平不饱和流实验中得到了验证,从而证明了其解析表达式的正确性。
This paper discusses the analytic solution of soil water-dimensional unsaturated horizontal flow equations. In this paper, firstly, empirical relationship between soil water diffusivity D and soil water content θ is discussed. The original soil water - dimensional unsaturated flow equation is replaced by a variable, and the equation is transformed into a form that can be easily solved. Then the method of variable separation and the Boltzmann transformation are used to solve the equation. Thus came the analytical expression. At the same time, this analytical solution is validated in experiments of soil water-dimensional horizontal unsaturated flow, which proves the correctness of analytical expressions.