Empirical equation for infiltration rate with combined trench and permeable pipe

The problems of artificial groundwater recharge in desert areas include low rainfall and limited water resources, deposition of large amounts of sediment and high evaporation rates. In this study, an attempt has been made to mitigate these issues by introducing a new method of artificial recharge specifically designed for desert areas. For this purpose, a physical model was constructed. Through multiple experiments, which involved varying parameters such as input flow rate, materials used to construct the unsaturated environment, and changes in the depth and width of the infiltration trench, a new artificial feeding method was presented. An empirical equation was also proposed, aiming to estimate the infiltration capacity from the trench. Examination of nine earthen channels showed that the Davis and Wilson, Molesworth, Moritz and Ingham equations are not accurate for estimating water leakage in different areas. To solve this problem, the researchers adjusted the equations with regional correction coefficients. The results showed that the equation presented with the features considered in it has a significant accuracy in estimating the amount of leakage compared to real data and can also be used in different areas.