title: Vertically integrated flows, discharge potential, and the Dupuit-Forchheimer approximation.
abstract: We summarize observations made by various researchers regarding the discharge potential, vertically integrated flows, and the Dupuit-Forchheimer approximation. If a regional flow model is formulated in terms of the discharge potential and the boundary conditions can be written in terms of the discharge potential and the boundary discharges, then the discharges are correct throughout the model domain, without embracing any additional simplifying assumptions.
authors.affiliation: Department of Civil Engineering, University of Minnesota, 500 Pillsbury Drive Southeast, Minneapolis, MN 55455, USA. strac001@umn.edu
authors.forename: O D L
authors.initials: OD
authors.lastname: Strack
authors.forename: R J
authors.initials: RJ
authors.lastname: Barnes
authors.forename: A
authors.initials: A
authors.lastname: Verruijt
mesh_terms: D004784:Environmental Monitoring / Q000379:methods*; D005544:Forecasting; D005843:Geography; D055593:Geological Phenomena; D005844:Geology; D008962:Models, Theoretical; D018570:Risk Assessment; D014872:Water Movements; D014873:Water Pollutants / Q000633:toxicity*; D014881:Water Supply
chemical_list: D014873:Water Pollutants