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Seepage of Steady Rainfall through Soil into Ditches of Unequal Water Level Heights
Author(s) -
Powers W. L.,
Kirkham Don,
Snowden G.
Publication year - 1967
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/sssaj1967.03615995003100030008x
Subject(s) - ditch , hydraulic conductivity , water table , range (aeronautics) , hydrology (agriculture) , geology , soil science , geotechnical engineering , mathematics , environmental science , soil water , materials science , groundwater , ecology , biology , composite material
A theoretical solution and numerical results for the seepage of steady rainfall into soil laying above an impermeable layer and drained by ditches of unequal water level heights is obtained for the ditches just reaching or penetrating into the impermeable layer. This is done by using a finite series of orthonormal functions generated from products of trigonometric and hyperbolic functions. The theoretical solution gives the potential function and stream function for a range of water level heights, ditch spacings, and a range of ratios R/K of rainfall rate R to hydraulic conductivity K . If R/K is increased from 0 to 0.05, for 10‐m spacing of ditches and for 1 ditch having water maintained 1 m above the barrier and the other ditch 1.5 m; then the maximum water table height in the soil will increase from 1.50 m to 1.82 m. Also, as R/K increases, the position of the maximum water table height will approach a position midway between the ditches. Flow nets and other results computed for a number of geometries from the theory bring out additional information.