Response of Triangular-Shaped Leaky Aquifers to Rainfall-Induced Groundwater Recharge: an Analytical Study

摘要: Different aspects of groundwater mound dynamics in triangular-shaped aquifers are investigated analytically under spatially uniform recharge time-varying rate. The aquifer response is analyzed relying on 2-D linearized Boussinesq equation, subject to two different configurations hydrogeological boundary conditions (constant-head streams and no-flow barrier). homogeneous, isotropic rests over a horizontal, semipervious layer, through which vertical leakage can take place. Point-recharge formula (Green’s function) first derived for the intended domain then properly converted accommodate effect rainfall-induced areal recharge. Components budget evaluated terms volumetric rates, taking into account jointed effects leakage, storage outflow adjacent streams. resulting expressions proven obey expected mass balance rigorous mathematical fashion. Hypothetical examples illustrating main features flow field presented, with attention paid equpotentials streamlines. computed profiles appear agree well numerical results from finite element method. Further, most influential parameters affecting each component identified help sensitivity analysis. Finally, combined pumping discussed. present solution may serve as test case verifying schemes that being developed more comprehensive