Analytical solution of turbulent flow equation in alluvial aquifer with uniform recharge surface

Estimating water surface profile would be important if it happens simultaneously with surface recharging (eg. precipitation). Surface recharging can fluctuate the subsurface water profile, so that designers cannot predict the water profile. This condition will be worsened when the media consists of coarse alluvial and highly permeable texture and the flow regime is Non-Darcy. For this reasons, it is necessary to determine accurate seepage profile through the media and consider the technical problems to avoid financial and human risks. In this regard, subsurface profiles through coarse porous media was investigated by presenting analytical solution considering recharge and Non-Darcy assumption and full-developed turbulent flow. In this study, we used the data resulted from a laboratory model (5*0.6*1 m with 0.0135 slope) and different upstream and downstream level affected by surface recharge for modelling. Results showed acceptable accuracy when analytical results were compared with available analytical solutions of other researcher.