Premium
Drainage of Groundwater Resting on a Sloping Bed
Author(s) -
Childs E. C.
Publication year - 1971
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/wr007i005p01256
Subject(s) - groundwater recharge , water table , equidistant , ditch , geology , drainage , groundwater flow , groundwater , perpendicular , transverse plane , hydrology (agriculture) , table (database) , geotechnical engineering , flow (mathematics) , geometry , mathematics , aquifer , engineering , ecology , biology , structural engineering , computer science , data mining
The Dupuit‐Forchheimer convention for horizontal impermeable beds is that the gradient of hydraulic potential is synonymous with the absolute slope of the water table. When the impermeable bed is sloping, however, the gradient is normally better approximated by dZ / dl , where l is the distance measured along the bed and Z is the height of the intersection with the water table of the perpendicular through l . Thus the solution of the resulting flow equation for drainage to a transverse ditch in the absence of surface recharge provides a family of branched curves for different slopes, instead of the single branched curve currently accepted. When there is surface recharge and a system of parallel equidistant drains, there is no simple analytic solution. However, numerical solutions show that the water table peak, as compared with a horizontal bed, is shifted downhill; its height is often not greatly affected.