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A dependent domain model of capillary hysteresis
Author(s) -
Mualem Y.,
Dagan G.
Publication year - 1975
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/wr011i003p00452
Subject(s) - hysteresis , function (biology) , capillary action , path (computing) , domain (mathematical analysis) , range (aeronautics) , loop (graph theory) , mathematics , mechanics , physics , mathematical analysis , statistical physics , thermodynamics , materials science , computer science , condensed matter physics , composite material , combinatorics , evolutionary biology , biology , programming language
A model of capillary hysteresis which takes into account the phenomenon of blockage against air (and water) entry is presented. The model is based on our previous (1974) model II, which predicts any hysteretic path with the aid of two functions, L (ψ) and H (ψ). This model is generalized by adding a new function,р d (θ)(and ), as has been suggested by D. H. Everett (1967) and G. C. Topp (1971). It is found that is of a lesser significance and can be neglected in most cases. A technique of deriving L (ψ), H (ψ), and from the measured boundary loop and one primary drying scanning curve is presented. A simple method of predicting any hysteretic path is suggested. It is found that the generalized model leads to better results than the models based on independent domain theories for soils having a major portion of their hysteretic loop in the range of air entry value.