On the construction of a functional solution method for the infiltration in porous media problems

I.C. Furtado, B.E.J. Bodmann and M.T. de Vilhena

Physica A: Statistical Mechanics and its Applications, 2016, vol. 450, issue C, 18-29

Abstract: In this paper, we consider a transient vertical one-dimensional flow problem of water in unsaturated porous media, modelled by the non-linear Richards equation. Constitutive relations of Van Genuchten will be employed and Padé approximants are used to represent the hydraulic capacity and conduction in a simplified fashion. From the proposed methodology a construction of a functional solution is presented with the objective to define an initialisation of a recursive scheme in the spirit of Adomian decomposition. This solution is optimised and evaluated using the governing equation for a self-consistency test. The results are presented for some soil types and its related soil parameters, that are reported in the literature.

Keywords: Unsaturated porous media; Padé approximants; Adomian decomposition; Parametrised functional solution (search for similar items in EconPapers)
Date: 2016
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437115011279
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:450:y:2016:i:c:p:18-29

DOI: 10.1016/j.physa.2015.12.099

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().