Open AccessThe Similarity Hypothesis and New Analytical Support on the Estimation of Horizontal Infiltration into Sand
Author(s) -
Celso Luiz Prevedello,
Jocely Maria Thomazoni Loyola
Publication year - 2010
Publication title -
applied and environmental soil science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.431
H-Index - 23
eISSN - 1687-7675
pISSN - 1687-7667
DOI - 10.1155/2010/657402
Subject(s) - sorptivity , similarity (geometry) , infiltration (hvac) , range (aeronautics) , soil water , self similarity , richards equation , mathematics , power law , soil science , statistical physics , environmental science , statistics , computer science , geology , geometry , geotechnical engineering , image (mathematics) , physics , meteorology , porosity , materials science , composite material , artificial intelligence
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
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