Steady-state analysis of water movement in a semi-infinite unconfined aquifer under constant accretion

A partial analysis of the stream-aquifer interaction problem at steady state for a semi-infinite unconfined aquifer was presented by Bear (1979). This analysis was restricted to the case of influent boundary condition where the water flux is directed from the boundary into the aquifer. Here, we extend the analysis to provide analytical solutions for both influent and effluent conditions. Comparisons with numerical solutions are also presented for further validation.