Artificial aquifer recharge and pumping: transient analytical solutions for hydraulic head and impact on streamflow rate based on the spatial superposition method

The behaviour of transient groundwater mounds in response to infiltration from surface basins has been studied for decades, but some common settings still lack analytical solutions. It shown that applying mathematical integration the line-sink solution developed by Hantush 1960s pumping an unconfined aquifer, considering recharge over a defined area, is identical his mounding below rectangular basin. This implies superposition principle can, generally, be used directly include wells, as well aquifer boundaries, derive unique solution. Moreover, other solutions can with spatial method addressing variety hydrogeological settings, provided relevant partial differential equations linear. Based on this and existing solutions, several are proposed able consider recharging area aquifer: (1) near stream, (2) between stream no-flow boundary, without influence natural recharge, (3) partially penetrates (4) multi-layer aquifer. For cases including streams, impact streamflow rate also presented. will practical use managed particular design structures artificially possibly pumped one or wells.