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Applied and Environmental Soil Science
Volume 2010, Article ID 657402, 7 pages
Research Article

The Similarity Hypothesis and New Analytical Support on the Estimation of Horizontal Infiltration into Sand

1Soils and Agricultural Engineering Department, Federal University of Paraná Rua dos Funcionários 1540, 80030-035 Curitiba, PR, Brazil
2Civil Construction Department, Federal University of Paraná, 81531-990 Curitiba, PR, Brazil

Received 23 December 2009; Accepted 20 November 2010

Academic Editor: Artemi Cerda

Copyright © 2010 Celso L. Prevedello and Jocely M. T. Loyola. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A method based on a specific power-law relationship between the hydraulic head and the Boltzmann variable, presented using a similarity hypothesis, was recently generalized to a range of powers to satisfy the Bruce and Klute equation exactly. Here, considerations are presented on the proposed similarity assumption, and new analytical support is given to estimate the water density flux into and inside the soil, based on the concept of sorptivity and on Buckingham-Darcy's law. Results show that the new analytical solution satisfies both theories in the calculation of water density fluxes and is in agreement with experimental results of water infiltrating horizontally into sand. However, the utility of this analysis still needs to be verified for a variety of different textured soils having a diverse range of initial soil water contents.