中文摘要：

该文研究了以Forchheimer定律为基础的越流含水层中抽水井附近非达西流问题,获得了该条件下水位降深的数值差分解,分析了非达西流、越流和井储对水位降深的影响。结果表明：在不考虑井储影响时,抽水初期越流补给对水位降深影响较小,不同越流补给情况下的水位降深曲线相互重合;抽水后期,越流补给强度越大,水位降深越小。考虑井储影响后,在抽水初期不同越流补给和非达西流动条件下的水位降深曲线相互重合且在双对数坐标下为一直线,含水层的水位降深规律与不考虑井储情况下一致。非达西流动剧烈程度对水位降深的影响与越流补给强度有关。当越流补给较小时,紊动越剧烈（即非达西流动越明显）,抽水初期的水位降深越小,而在抽水后期的水位降深越大;当越流补给较大时,整个抽水过程中紊动越剧烈水位降深越小。

英文摘要：

In this paper, non-Darcian flow toward a well in a leaky aquifer was investigated by using the finite-difference method. The Forchheimer equation was employed to describe the non-Darcian flow in the aquifer, and several dimensionless variables were defined for the result analysis. The impact of the turbulence and the leakage on the drawdown surrounding the pumping well was analyzed. The results indicate that the leakage has little effect on the drawdown at early times but has obviously influence on the drawdown at late times as the wellbore storage is excluded. A smaller value of leakage parameter results in a smaller drawdown at late times. As the wellbore storage is considered, all the curves for the drawdown inside the well approach an asymptotic value at early times and are straight lines in log-log scale. The drawdown in the aquifer is similar to that without considering the wellbore storage. The impact of the turbulence factor on the drawdown depends on the leakage. For the case with very small leakage, a greater turbulence results in a smaller drawdown at early times but a larger drawdown at late times. When the leakage is very large, a greater turbulence factor leads to a smaller drawdown during the entire pumping period.