Non‐steady radial flow in an infinite leaky aquifer

Abstract

The non‐steady drawdown distribution near a well discharging from an infinite leaky aquifer is presented. Variation of drawdown with time and distance caused by a well of constant discharge in confined sand of uniform thickness and uniform permeability is obtained. The discharge is supplied by the reduction of storage through expansion of the water and the concomitant compression of the sand, and also by leakage through the confining bed. The leakage is assumed to be at a rate proportional to the drawdown at any point. Storage of water in the confining bed is neglected. Two forms of the solution are developed. One is suitable for computation for large values of time and the other suitable for small values of time. This solution is compared with earlier solutions for slightly different boundary conditions.

Leakage properties of the multi-aquifer system underlying the Greater Onitsha water scheme borehole field, Anambra State, Nigeria

“…The leaky aquifer type curve model of Hantush & Jacob (1955) was applied to the drawdown data from the monitoring borehole no. 8.…”

Porflow Testing and Verification Document

“…The solution to Eq. 4.7.1 is given by Hantush and Jacob (1955) Note that for B = ∞ (no leakance) the above solution reduces to the Theis solution presented in Section 4.5.…”

Geohydrology of Pahute Mesa-3 test well, Nye County, Nevada

“…Analysis of the aquifer-test data assuming leaky confined conditions (Hantush and Jacob, 1955) yielded a matchpoint withL (u,v) equal to 1.0, 1/u equal to 10, t equal to 13 min, and s equal to 34 ft, for a v of 0.2 ( fig. 1L4).…”

“…Hantush and Jacob (1955) derived an analysis for leaky confined aquifers. The data are plotted on logarithmic paper as drawdown, s, against time, t. The graphs are matched against plots of L(u,v), the well function, against 1/u for different values of v on a logarithmic graph.…”