Analytical solution based on stream-aquifer interactions in partially penetrating streams

Abstract

An analytical solution of drawdown caused by pumping was developed for an aquifer partially penetrated by two streams. The proposed analytical solution modifies Hunt's analytical solution and considers the effects of stream width and the interaction of two streams on drawdown. Advantages of the solution include its simple structure, consisting of the Theis well function and parameters of aquifer and streambed semipervious material. The calculated results show that the proposed analytical solution agrees with a previously developed acceptable solution and the errors between the two solutions are equal to zero without consideration of the effect of stream width. Also, deviations between the two analytical solutions increase with stream width. Four cases were studied to examine the effect of two streams on drawdown, assuming that some parameters were changeable, and other parameters were constant, such as the stream width, the distance between the stream and the pumping well, the stream recharge rate, and the leakage coefficient of streambed semipervious material.

Keywords

• stream depletion
• stream-aquifer interaction
• partially penetrating stream