Hydraulics of a Drainage Well Fully Penetrating a Leaky Aquifer through a Multisection Screen

Abstract

AbstractThe authors develop a transient semianalytical solution for evaluating the hydraulic head distribution in a leaky aquifer under constant surface-ponding conditions while draining through a fully penetrating multisection screen of an injection well. The authors use integral transform techniques such as Laplace and finite Fourier cosine for solving the said problem analytically. The solution in the Laplace domain is inverted to the time domain numerically. The authors test the performance of the derived semianalytical solution by comparing its results with field data. Subsequently, they use the solution to evaluate the hydraulic head distribution within the flow medium for a drainage event. Analyses show that the hydraulic head distribution within the radius of partial screening influence (Rps) in the aquifer is controlled by both the radial distance from the well and the monitoring depth but only by the radial distance beyond Rps. Further, the Rps does not depend on the screen sections’ lengths and...