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.

Numerical solution of non-Darcian flow toward an extended well in a confined aquifer Academic Article