Nonsteady flow to flowing wells in leaky aquifers

Abstract

Potential distribution is found for a flowing well discharging by natural flow from a uniform aquifer into, and/or out of, which there is leakage in proportion to the drawdown. The leaky aquifer is of uniform compressibility and of uniform transmissibility. Three cases are considered: (1) that of a well draining an infinite leaky aquifer; (2) that of a well at the center of a circular aquifer with zero drawdown on its outer boundary; (3) that of a well situated at the center of a closed circular aquifer (that is, the flow across the outer boundary is zero). The variation of the discharge with time is formulated in the three cases. The draw-down distribution and the discharge variation for the corresponding systems of nonleaky aquifers are obtained. It is shown how the formation constants (the coefficient of transmissibility, the coefficient of storage, and the coefficient of leakage) are obtained from variations in the rate of discharge of wells flowing at constant drawdown.