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Drainage of groundwater resting on a sloping bed with uniform rainfall
Author(s) -
Towner G. D.
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/wr011i001p00144
Subject(s) - streamlines, streaklines, and pathlines , water table , table (database) , groundwater , geology , drainage , hydrology (agriculture) , watershed , groundwater flow , flow (mathematics) , soil science , geometry , geotechnical engineering , mathematics , mechanics , aquifer , ecology , biology , physics , machine learning , computer science , data mining
The differential equation derived by Childs for groundwater flow over a sloping bed, the streamlines being assumed to be parallel to the slope, is integrated for the case of ditches and uniform rainfall. Expressions are obtained for the maximum vertical water table height, the location of this maximum and of the watershed, and the water table shape. Calculated water table heights are in much better agreement with previously published experimental data than those calculated from an earlier theory based on the assumption that streamlines are horizontal. Thus Childs' revised assumption is confirmed. An approximate solution for the form of the water table under small rainfall rates is also derived.