In previous studies, modelling on groundwater flow is usually achieved by linearization techniques to
analyze the nonlinear Boussinesq equation. Although a weighted mean water table height has been typically used
to perform linearization, this height is limitted a small variation in the water table. In this study, we used a linearization technique and a generalized integral transform technique to solve the Boussinesq equation for water tables in horizontal aquifers. Instead of using 􀝄 􀴤
, we introduced a water table at a previous time point (􀝄􀭲􁇱) and conducted a time-marching evaluation from the initial time point for addressing the limitation of small changes in the water table. Consequently,we proposed an improved exact solution. Variations in the water table and flow rate were discussed in terms of various boundary water tables, boundary water table rising rates, recharge and recharge damping rates.
Key Words: groundwater table, linearization, unconfined aquifer, time-varying recharge, time marching