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On the meaning of the Dupuit and Pavlovskii approximations in aquifer flow
Author(s) -
Irmay S.
Publication year - 1967
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/wr003i002p00599
Subject(s) - aquifer , impervious surface , flow (mathematics) , geology , geotechnical engineering , hydraulics , mechanics , groundwater , base flow , base (topology) , plane (geometry) , groundwater flow , geometry , mathematics , physics , mathematical analysis , thermodynamics , drainage basin , ecology , cartography , geography , biology
Pavlovskii's method is applied to Dupuit's approximate solution of steady hydraulic flow of unconfined two‐dimensional plane or curved aquifers in uniform or nonuniform soils, on a horizontal or inclined impervious base. Graphs correlate the geometrical parameters. The error on the potential is about ¼%. The effect of end slopes, especially of the seepage face, may account for some 30% of the total discharge. In one‐dimensional flow the discharge is correct even in nonuniform and curving aquifers on a horizontal base and seemingly also on an inclined base. Girinskii's potential in nonuniform soils in Dupuit's approximation is replaced in the exact theory by two other potentials. (Key words: Groundwater; seepage; hydraulics)