Two-region flow caused by pumping at a partial penetration well in a leaky confined aquifer
Academic Article
Overview
Research
Identity
Additional Document Info
Other
View All
Overview
abstract
AbstractAn analytical model for depicting tworegion flow caused by constantrate pumping at a partially penetrating well in a leaky confined aquifer is established. The tworegion flow is described by the radial Izbash nonDarcy flow in the vicinity of the abstraction well and Darcy flow away from the abstraction well in the pumped aquifer. The model considers the effects of aquitard storage, wellbore storage, and wellbore skin. The semianalytical solutions of drawdown are developed by means of a linearization procedure combined with Laplace transform and separation of variables. The timedomain drawdowns are then obtained by using the Stehfest method for numerical Laplace inversion. The solutions encompass previous solutions for one or tworegion flow to a partially penetrating well in a (non)leaky confined aquifer. The drawdown response in the abstraction well, nonDarcy region, and Darcy region is investigated, and sensitivity analysis is made to assess the impact of various controlling parameters. The results demonstrate that the intermediate and latestage drawdowns in the abstraction well and nonDarcy region for the tworegion flow model are larger than the corresponding values for the nonDarcy flow model. The drawdown in the Darcy region for the tworegion flow model is larger than that for the Darcy flow model throughout the pumping duration. The results of sensitivity analysis show that the drawdowns in the abstraction well, nonDarcy region, and Darcy region are most sensitive to the nonDarcy constant n, and is very sensitive to the well configuration, and horizontal hydraulic conductivity of the Darcy region.
