A general method of aquitard control of flow for arbitrary orientation of wells in Aquitard- Aquifer-Aquitard System (AAA)

Aquitards are low permeable sedimentary layers that often serve as interfaces through which recharge, contaminants, and nutrients from the vadose zone enter aquifers. Aquitards are capable of storing water, yet lack of ability to transmit water. Hydrologists have recognized the importance of aquitards on subsurface flow and transport for many decades. However, for various reasons, studies of aquitards have received much less attention than that of the aquifers for many years. In this study, we have investigated the effects of aquitard on drawdown caused by arbitrary orientation of well pumping in an aquitard-aquifer-aquitard system. Pumping well could be partial penetrating vertical well, horizontal well or slanted well at arbitrary angles to horizontal plane. We have derived the solutions for six cases with various combinations of water table, aquitard, aquifer, aquitard, and bedrocks. Previous study treated the leakage from aquitard-aquifer mass flux as a volumetric source/sink term in the governing equation of flow in the aquifer. In this study, new semi-analytical solutions are acquired for the aquitard-aquifer-aquitard system via rigorous mass conservation laws. Flows in aquitard and aquifer are treated as separate systems which are linked through the continuity of flux and head at the aquitard-aquifer boundary. This general solution is applicable to both water table aquifer and leaky-confined aquifer. Examples illustrate the effect of aquitard properties at different well configurations. The results will be used to generate type curves for various situations. The results of this paper are useful for parameter identification and water resource management. Keywords: Aquitard-Aquifer-Aquitard; Pumping Well, Slanted Well, Horizontal well, Type curves.