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中文摘要：
为提高非饱和土壤渗透求解的精度，综合考察现存方法的优缺点，通过理论研究，基于Richards方程变换，建立了非饱和土壤渗透求解的向前探索自适应网格有限差分法（AF法）。该方法使用了水土势双曲正弦变换的隐式差分格式，并采取了自动向下搜索的空间网格形式，解决了干燥地表固定网格计算量过大的问题，同时计算速度大大提高，计算误差小于固定网格法的误差值。该方法可用于向下渗透、地下水重新分布以及土壤水向地下水位内的水体排水几种渗流方式，对土壤渗流问题的求解具有一定的参考价值和指导意义。
英文摘要：
For raising the precision of solving infiltration in unsaturated soil, by reviewing advantage, and disadvages of existing methods, based on the transformation of Richards equation, a finite calculus of differences by advancing front self-adaptive grid for solving infiltration in unsaturated soil is built. The method uses an implicit iterative scheme with a hyperbolic sine transformation for the matrix potential, takes the advancing front self-adaptive grid, and resolves problem of too much account in calculation to dry earth＇s surface by fixed grid method. Results indicate that calculation speed is increased greatly and errors are less than by fixed grid method. This method can be used for front infiltration, underground water redistribution and drainage of soil water to underground water. It has reference value and significance for solving infiltration problem.
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