Content area
Abstract
This paper presents analytical models of several different groundwater flow problems having various flow geometries. One model considers a vertical circulation flow in an infinite domain with a skin layer around the extraction well. The second model considers a vertical circulation flow in a cylindrical tank without the skin layer. The third model considers an extraction well with a ring source. Analytical formulas for the drawdown and stream functions are derived for all three of these models. The last model is a contaminant concentration model with a uniform initial contaminant concentration inside a cylinder about the pumping well and no contaminant outside this cylinder. Analytical formulas for the concentration are derived for general adsorption isotherms in this model.





