Steady state conditions predictions of time-dependent infiltration problems: an LTDRM with a predictor-corrector scheme approach

Time-dependent infiltration problems from periodic irrigation channels with root-water uptake processes, which is modelled using a Richards equation, are studied. The problems is solved numerically. To solve the problems, a set of transformations and a Laplace Transform Dual Reciprocity Method (LTDRM) with a predictor corrector scheme are employed. Finally, employing Gaver-Stehfest formula and diffusivity factor, the numerical solutions of these problems are obtained. Predictions of time needed to achieve steady state conditions for different homogeneous soils are presented and discussed.