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NONLINEAR DUPUIT EQUATIONS FOR THE PHREATIC SURFACE OF A SEMI‐INFINITE AQUIFER 1
Author(s) -
Gyuk I.,
Williams R.
Publication year - 1971
Publication title -
jawra journal of the american water resources association
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.957
H-Index - 105
eISSN - 1752-1688
pISSN - 1093-474X
DOI - 10.1111/j.1752-1688.1971.tb05017.x
Subject(s) - phreatic , aquifer , nonlinear system , groundwater , infiltration (hvac) , drawdown (hydrology) , geology , groundwater flow , partial differential equation , groundwater model , groundwater flow equation , geotechnical engineering , hydrology (agriculture) , soil science , mathematics , mathematical analysis , physics , quantum mechanics , thermodynamics
. We present a new approach to the nonlinear equations for the phreatic surface of groundwater flow from or into a reservoir. The differential equation is converted into an equivalent integral equation, which is then solved by a method of iteration. We obtain exact results for both drawdown and infiltration, including the special case of groundwater penetration into dry soil.