NDLI: Pressure Distribution in a Semi-infinite Horizontal Aquifer with Steep Gradients Due to Steady Recharge and/or Drainage: The Exact Explicit Solution

Content Provider	Springer Nature Link
Author	Edenhofer, J. Schmitz, G. H.
Copyright Year	2001
Abstract	Groundwater flow with steep gradients in a vertical plane of infinite horizontal extension due to arbitrary non-symmetric strip sources and/or sinks can be described by the 2D Laplace equation. Notwithstanding the strongly nonlinear character of the free surface boundary condition, the exact analytical solution to this problem is developed in a closed form by employing neither the Dupuit assumption nor any other form of linearization. The first section of the development, still including the unsteady case, leads via conformal mapping and transformation procedures to a singular integro-differential-equation for the transient groundwater table. From this point onwards we restrict ourselves to the steady case for which the exact solution of the 2D Laplace equation for the pressure head and the location of the groundwater table was achieved. The solution is expressed exclusively in algebraic terms without the need for iterative procedures. It can not only be applied to real world phenomena, including a simple solution of the inverse problem, but also provide a new transparency regarding the solution characteristics and may serve as a standard for investigating numerical solutions and the domain of validity of simplified approaches. The computer program can be downloaded from www.tu-dresden.de/fghhihm/hydrologie.html
Starting Page	345
Ending Page	364
Page Count	20
File Format	PDF
ISSN	01693913
Journal	Transport in Porous Media
Volume Number	45
Issue Number	3
e-ISSN	15731634
Language	English
Publisher	Kluwer Academic Publishers
Publisher Date	2001-01-01
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Industrial Chemistry/Chemical Engineering Hydrogeology Geotechnical Engineering Mechanics, Fluids, Thermodynamics Civil Engineering
Content Type	Text
Resource Type	Article
Subject	Catalysis

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