Abstract
The properties of a Pleistocene aquifer located in NW Germany were evaluated by means of an inverse two-dimensional numerical model in the vertical plane. The steady-state drawdown recorded at the end of a pumping test was used to calibrate the model with a Gauss-Newton parameter estimation method. The results were analyzed within a formal statistical procedure by means of eigenvalues and eigenvectors. Although a mathematically meaningful value for the standard error can be obtained, the resulting set of permeabilities depends strongly upon the choice of the zonation pattern.
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References
Bard Y (1974) Nonlinear parameter estimation. New York: Academic Press 341 pp
Busch KF, Luckner L, and Tiemer K (1993) Geohydraulik. Stuttgart: Bornträger-Verlag 497 pp
Carrera J (1988) State of the art of the inverse problem applied to the flow and solute transport equations. In: Custudio E (Ed.), Groundwater Flow and Quality Modelling Dordrecht: Reidel pp 549–583
Carrera J and Neuman SP (1986) Estimation of aquifer parameters under transient and steady state conditions, 1: maximum likelihood method incorporating prior information. Water Resour Res 22(2):199–210
de Wiest RJM (1965) Geohydrology. New York: John Wiley & Sons 366 pp
Hantush MS and Jacob CE (1955) Non-steady radial flow in an infinite leaky aquifer. Am Geophys Union Trans 36:95–100
Haude W (1955) Zur Bestimmung der Verdunstung auf möglichst einfache Weise. Mitt Dtsch Wetterdienst 2(11)
Hofmann U and Hoffmann H (1971) Einführung in die Optimierung. Mit Anwendungsbeispielen aus dem Chemie-Ingenieur-Wesen. Weinheim: Verlag Chemie 264 pp
Lebbe L (1988) Uitvoering van pompproeven en interpretatie door middel van een invers model. Dissertation University of Gent, Belgium
Lebbe L, Mahauden M and De Breuck W (1992) Execution of a triple pumping test and interpretation by an inverse numerical model. Appl Hydrogeol 4:20–34
Renger M and Strebel O (1980) Jährliche Grundwasserneubildung in Abhängigkeit von Bodennutzung und Bodeneigenschaften. Wasser Boden 8:362–366
Segerlind LJ (1984) Applied finite element analysis. New York: John Wiley & Sons 427 pp
Theis CV (1935) The relation between lowering of the piezometric surface and the rate and duration of discharge of a well using groundwater storage. Am Geophys Union Trans 16:519–524
Turc L (1954) Calcul du bilan de l'eau evaluation en fonctien des precipitations et des temperatures. IAHS-Publ. 37:188–202
Wundt W (1953) Gewässerkunde. Berlin: Springer-Verlag 320 pp
Yeh WWG (1986) Review of parameter identification procedures in groundwater hydrology. Water Resour Res 22(2):95–108
Yeh WWG and Yoon YS (1981) Aquifer parameter identification with optimum dimension in parameterization. Water Resour Res 17(3):664–672
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Aschenbrenner, F., Ostin, A. Automatic parameter estimation applied on a groundwater model: The problem of structure identification. Geo 25, 205–210 (1995). https://doi.org/10.1007/BF00768550
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DOI: https://doi.org/10.1007/BF00768550