Premium
Upper and Lower Bounds of the Ponding Time for Near Constant Surface Flux
Author(s) -
Boulier J. F.,
Parlange J.Y.,
Vauclin M.,
Lockington D. A.,
Haverkamp R.
Publication year - 1987
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/sssaj1987.03615995005100060006x
Subject(s) - ponding , infiltration (hvac) , upper and lower bounds , flux (metallurgy) , mathematics , constant (computer programming) , range (aeronautics) , surface (topology) , soil science , hydrology (agriculture) , mathematical analysis , environmental science , geometry , geotechnical engineering , geology , meteorology , materials science , physics , computer science , ecology , drainage , metallurgy , composite material , biology , programming language
Upper and lower bounds on the relation between the time course of cumulated infiltration into soil and water content at the soil surface are derived. These estimates can be used specifically to predict upper and lower bounds of the ponding time. The analytical results are derived for mildly varying surface flux. However, the accuracy of the limits is illustrated and discussed for Granoble sand with constant rainfall rates only. A numerical solution is also obtained that yields results outside the range of the more accurate analytical results. This confirms that errors are introduced in the numerical scheme during the early stages of infiltration. Less accurate, but easier to apply, analytical limits are also presented and discussed.