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Third‐order Integral Relation Between Sorptivity and Soil Water Diffusivity Using Brutsaert's Technique
Author(s) -
Parlange J.Y.,
Braddock R. D.,
Lisle I.
Publication year - 1980
Publication title -
soil science society of america journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.836
H-Index - 168
eISSN - 1435-0661
pISSN - 0361-5995
DOI - 10.2136/sssaj1980.03615995004400050001x
Subject(s) - sorptivity , thermal diffusivity , water content , exponential function , soil water , soil science , diffusion , mathematics , thermodynamics , materials science , environmental science , geology , geotechnical engineering , porosity , physics , mathematical analysis
Integral relationships between sorptivity and weighted mean diffusivity have been usually justified by numerical tests. Optimization provides a justification on more fundamental ground, when diffusivity increases rapidly with water content. The present paper presents a further improvement on the optimization result and its precision is discussed for two general classes of soil‐water diffusivities. The result should be useful to predict soil‐water diffusivity from sorptivity measurements, especially when it can be postulated that the diffusivity has a well‐defined (e.g., exponential) functional dependence on the water content.