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A Note on Horizontal Redistribution with Capillary Hysteresis
Author(s) -
Raats P. A. C.,
Duijn C. J.
Publication year - 1995
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 - 10.1029/94wr02382
Subject(s) - wetting , capillary action , mathematics , hysteresis , mechanics , flow (mathematics) , capillary pressure , joins , boundary value problem , geometry , mathematical analysis , thermodynamics , physics , geotechnical engineering , geology , porosity , porous medium , quantum mechanics , computer science , programming language
In a recent paper, Philip analyzed horizontal redistribution with capillary hysteresis. He considered the special case for which one semi‐infinite half of a column has an initial condition corresponding to the point where the boundary wetting curve joins the boundary drying curve and the other semi‐infinite half of the column has an initial condition corresponding to the point where the boundary drying curve joins the boundary wetting curve. The similarity solution of this problem developed by Philip can be generalized to cases involving any uniform initial conditions of the semi‐infinite halves of the column, corresponding to arbitrary histories of the pressure head and the water content. For any such pair of initial conditions for the semi‐infinite halves, one of the following three possibilities will apply: (1) no flow between the two halves; (2) conventional flow from the wet half to the dry half; or (3) nonconventional flow from the dry half to the wet half.