Progress in the Solution of the Richards Equation in Infiltration Problems

Igor da Cunha Furtado¹; Bardo Ernst Josef Bodmann¹; Marco Túllio Menna Barreto de Vilhena¹

¹ Universidade Federal do Rio Grande do Sul

doi:10.20906/CPS/COB-2015-1870

Resumo

In this paper, we consider a transient one-dimensional flow problem of water in unsaturated porous media, modeled by the nonlinear Richards equation. Constitutive relations of Van Genuchten will be employed. A parameterized solution for Richards equation is presented with the objective to define an initialization of the recursion for an alternative Adomian scheme. This solution is optimized via least squares and Newton's nonlinear method and evaluated by the nonlinear Richards equation i.e. a self consistency test. The results are analyzed for typical cases found in the literature.

Palavras-chave: Porous media; Padé; Adomian decomposition; parametrised solution