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Hillside Seepage: An Analytical Solution to a Nonlinear Dupuit‐Forchheimer Problem
Author(s) -
Yates S. R.,
Warrick A. W.,
Lomen D. O.
Publication year - 1985
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/wr021i003p00331
Subject(s) - aquifer , geology , bedrock , nonlinear system , hydraulic head , groundwater recharge , geotechnical engineering , constant (computer programming) , flow (mathematics) , head (geology) , mechanics , geometry , mathematics , groundwater , geomorphology , physics , quantum mechanics , computer science , programming language
An exact analytical solution is developed for steady flow in a sloping Dupuit aquifer. Constant areal accretion in the form of recharge from the surface and/or a leaky substratum occurs. An integrating factor is used to solve the nonlinear equation subject to upper and lower boundary conditions of known hydraulic head or flow. The field problem of interest is for shallow soil overlying a sloping bedrock.