承压含水层中扩展井附近非达西流数值解

本文采用数值差分方法得到了承压含水层中扩展井附近非达西流情况下的数值解，并假设非达西流可以用Forchheimer定律描述，同时考虑了裂隙储水效应的影响，采用无量纲变量分析了主裂隙以及含水层中的水位降深规律，并将数值解与Boltzmann变换得到的解析解进行了比较。研究结果表明，Boltzmann变换所得到的解析解在整个抽水时期都会高估水位降深，在考虑裂隙储水效应后，抽水初期不同的无量纲紊动因子βD的水位降深曲线互相重合，且在双对数坐标下表现为直线；含水层中的水位降深在抽水初期随βD增大而减小，在抽水后期随βD增大而增大。

A numerical solution of non_Darcian flow toward an extended well in a confined aquifer

The well located in fissured rock may be regarded as extended wells in studying the groundwater flow in a confined aquifer. A numerical solution of the flow in aquifer toward this kind of well is derived based on the assumption that the Forchheimer equation can be used to describe the non_Darcain flow and taking the storage effect of fissure into account. The dimensionless variable analysis method is adopted to analyze the drawdown in the main fracture and in the aquifer during pumping. The numerical solution is compared with the analytic solution obtained from Boltzmann transformation. The result shows that the analytic solution over estimates the dimensionless drawdown in the whole pumping period. When the fracture storage is considered, the dimensionless drawdown in main fracture for different turbulent factor approaches the same asymptotic value at early stage, while a larger turbulent factor results in a larger dimensionless drawdown in main fracture in late period. The dimensionless drawdown decreases at first and increases later as the dimensionless turbulent factor increases.