Transient-State Analytical Solution for Groundwater Recharge in Anisotropic Sloping Aquifer

摘要: The Boussinesq equation has been proved reliable for modeling water table fluctuations in response to external excitations imposed on the aquifer system. This study presents an analytical solution two-dimensional linearized anisotropic, rectangular-shaped aquifers with sloping impermeable base. Two different configurations of hydrogeological boundary conditions (constant-head and no-flow) are examined. model is capable describing groundwater head distribution due downward transient recharge from overlying basin. First, a transformation technique adopted order simplify mathematical treatment problem. Closed form expression point-recharge then obtained by applying method Green’s function eigenfunction expansion. allows treating any arbitrary-shaped basin subject spatiotemporal varying recharge. It shown that number existing models may be regarded as special cases presented herein. Finally, hypothetical examples nature presented. Qualitative examination resulting maps confirms validity solution, particularly vicinity borders. Sensitivity analysis performed demonstrate how mounding affected variation various parameters.