Abstract

  Slug test solutions require instantaneous water column in the recharge well, and it consider well storage and well loss not appropriate for recharge cases. State of the art suggests recharge hydraulics, a phenomenon synonymous to mirror image of well pumping. In this background, the present paper derives fresh semi-analytical equations for confined aquifer, which simultaneously determine unsteady recharge rates at the recharge well face and rising heads in the aquifer. Such computations that are mandatory in free recharge situations may not be possible with slug test solutions. Developed solutions in a fully penetrating well include well storage, a function of aquifer diffusivity. Head loss computation is found more appropriate with friction parameter “k”, a function of Reynolds number.   Key words: Fully penetrating well, well storage, discrete kernel, friction parameter.

Highlights

  • In using free recharge technique, water is injected in to the aquifer maintaining either constant or variable head in the injection well (Sevee, 2006)

  • Zenner (2002) developed a general non-linear model for bypassed wells, including skin effects, non-head losses due to internal well bore fluid friction, minor losses originating at radius changes along the flow path inside the well, and inertial effects of the water columns contained within the primary casing and the bypass

  • This deviation pattern is due to the fact that in the present equation, well storage is time dependant, a function of aquifer diffusivity and recharge well water column height, whereas Cooper et al (1967) argued on constant well storage, a fraction of S

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Summary

Unsteady equation for free recharge in a confined aquifer

Slug test solutions require instantaneous water column in the recharge well, and it consider well storage and well loss not appropriate for recharge cases. State of the art suggests recharge hydraulics, a phenomenon synonymous to mirror image of well pumping. In this background, the present paper derives fresh semi-analytical equations for confined aquifer, which simultaneously determine unsteady recharge rates at the recharge well face and rising heads in the aquifer. The present paper derives fresh semi-analytical equations for confined aquifer, which simultaneously determine unsteady recharge rates at the recharge well face and rising heads in the aquifer Such computations that are mandatory in free recharge situations may not be possible with slug test solutions.

INTRODUCTION
UNSCREENED PORTION
FREE RECHARGE EQUATION
Discrete kernels are generated for known values of T and
WELL STORAGE DURING FREE RECHARGE
HEAD LOSS IN FREE RECHARGE
FIELD APPLICATION
CONCLUSIONS
Full Text
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