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Hydrogeology Journal

Erschienen in:

01.01.2006 | Paper

Applicability of the most frequent value method in groundwater modeling

verfasst von: Peter Szucs, Faruk Civan, Margit Virag

Erschienen in: Hydrogeology Journal | Ausgabe 1-2/2006

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Abstract

The Most Frequent Value Method (MFV) is applied to groundwater modeling as a robust and effective geostatistical method. The Most Frequent Value method is theoretically derived from the minimization of the information loss called the I-divergence. The MFV algorithm is then coupled with global optimization (Very Fast Simulated Annealing) to provide a powerful method for solving the inverse problems in groundwater modeling. The advantages and applicability of this new approach are illustrated by means of theoretical investigations and case studies. It is demonstrated that the MFV method has certain advantages over the conventional statistical methods derived from the maximum likelihood principle.

Vorheriger Artikel Numerical evaluation of pumping well transmissivity estimates in laterally heterogeneous formations

Nächster Artikel Groundwater-recharge estimation using a surface electrical resistivity method in the Himalayan foothill region, India

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Anderson MP, Woessner WW (1992) Applied ground-water modeling. Academic, San Diego, CA, 381 pp

Carrera J, Neuman SP (1986a) Estimation of aquifer parameters under transient and steady state conditions. 1. Maximum likelihood method incorporating prior information. Water Resour Res 22(2):199–210

Carrera J, Neuman SP (1986b) Estimation of aquifer parameters under transient and steady state conditions. 2. Uniqueness, stability and pollution algorithms. Water Resour Res 22(2):211–227

Carrera J, Neuman SP (1986c) Estimation of aquifer parameters under transient and steady state conditions. 3. Application to synthetic and field data. Water Resour Res 22(2):228–242

Chiang WH, Kinzelbach W (2001) 3D-Groundwater modeling with PMWIN. A simulation system for modeling groundwater flow and pollution. Springer, Berlin Heidelberg New York, 346 pp

de Marsily Gh, Delhomme JP, Coundrain-Ribstein A, Lavenue AM (2000) Four decades of inverse problems in hydrogeology. Paru dans Geophysical Society of America, Special paper 348:1–28

Dobróka M, Gyulai Á, Ormos T, Csokás J, Dresen L (1991) Joint inversion of seismic and geoelectric data recorded in an underground coal mine. Geophys Prospect 39:643–665

Doherty J (2000) PEST, model-independent parameter estimation, 4th edn. program documentation. Watermark Numerical Computing, p 249

Dutter R (1987) Mathematische Methoden in der Montangeologie. Vor-lesungsnotizen, Manuscript, Leoben

EMRL, Environmental Modeling Research Laboratory of Brigham Young University (2002) Groundwater modeling system (GMS 4.0), Tutorial manual

Ferenczy L, Kormos L, Szucs P (1990) A new statistical method in well log interpretation, paper O. In: 13th European formation evaluation symposium transactions: Soc. Prof. Well Log Analysts, Budapest Chapter, 17 pp

Hajagos B, Steiner F (1991) Different measures of the uncertainty. Acta Geod Geophys Montan Hung 26:183–189

Hajagos B, Steiner F (1995) Symmetrical stable probability distributions nearest lying to the types of the supermodel f_a(x). Acta Geod Geophys Hung 30(2–4):463–470

Harbaugh AW, Banta ER, Hill MC, McDonald MG (2000) MODFLOW-2000, The U.S. Geological Survey modular ground-water model—user guide to modularization concepts and the ground water flow process. U.S. Geological Survey, Open-file report 00–92

Hill MC (1992) A computer program (MODFLOWP) for estimating parameters of a transient, three-dimensional ground water flow model using nonlinear regression. U.S. Geological Survey, Open-file report 91–484

Hill MC (1998) Methods and guidelines for effective model calibration. U.S. Geological Survey, Water-resources investigations report 98-4005

Hill MC, Banta ER, Harbaugh AW, Anderman ER (2000) MODFLOW-2000, The U.S. Geological Survey modular ground-water model—user guide to the observation, sensitivity, and parameter-estimation processes and three post-processing programs. U.S. Geological Survey, Open-file report 00-184

Huber PJ (1981) Robust statistics. Wiley, New York, 308 pp

Ingber L (1989) Very fast simulated reannealing. Math Comput Modeling 12(8):967–993CrossRef

Isaaks EH, Srivastava RM (1989) Applied geostatistics. Oxford University Press, Oxford, pp 1–561

Kirkpatrick S, Gelatt CD Jr, Vecchi MP (1983) Optimization by simulated annealing. Science 220:671–680MathSciNet

Kitandis PK (1997) Introduction to geostatistics: applications to hydrogeology. Cambridge University Press, Cambridge, 249 pp

Kruseman GP, de Ridder NA (1990) Analysis and interpretation of pumping test data, Publication 47. International Intsitute for Land Reclamation and Improvement, Wageningen, The Netherlands, pp 1–375

Lebbe LC (1999) Hydraulic parameter identification. Generalized interpretation method for single and multiple pumping tests. Springer, Berlin Heidelberg New York, 359 pp

Lee T-C (1999) Applied mathematics in hydrogeology. CRC Press, Boca Raton, FL (ISBN 1-56670-375-1)

Lines TR, Treitel S (1984) Tutorial: a review of least squares inversion and its application to geophysical problems. Geophys Prospect 32:159–186

Marquardt DW (1970) Generalized inverses, Ridge regression, biased linear estimation, and nonlinear estimation. Techometrics 12:591–612

Menke W (1984) Geophysical data analysis: discrete inverse theory. Academic, San Diego, CA

Metropolis N, Rosenbluth A, Rosenbluth M, Teller A, Teller E (1953) Equations of state calculations by fast computing machines. J Chem Phys 21:1087–1092

Poeter EP, Hill MC (1997) Inverse models: a necessary next step in groundwater modeling. Ground Water 35(2):250–260

Poeter EP, Hill MC (1998) Documentation of UCODE. A computer code for universal inverse modeling. U.S. Geological Survey, Water-resources investigations report 98–4080

Pollock DW (1994) User’s guide for MODPATH/MODPATH-PLOT, version 3: a particle tracking post-processing package for MODFLOW, the U.S. Geological Survey finite difference ground-water flow model: U.S. Geological Survey open-file report 94-464, 6 ch

Sen M, Stoffa PL (1995) Global optimization methods in geophysical inversion. Elsevier, Amsterdam, The Netherlands. Adv Explor Geophys 4

Steiner F (1965) Interpretation of Bouguer-maps (in Hungarian). Dissertation, Manuscript, Miskolc, pp 80–94

Steiner F (1972) Simultane interpretation geophysikalischer messdatensysteme. Rev Pure Appl Geophys 96:15–27CrossRef

Steiner F (1988) The most frequent value procedures. Geophys Trans 34(2–3):226

Steiner F (1990) The bases of geostatistics (in Hungarian). Tankonyvkiado, Budapest, Hungary, 363 pp

Steiner F (ed) (1991) The most frequent value. Introduction to a modern conception statistics. Akademia Kiado, Budapest, Hungary, 314 pp

Steiner F (ed) (1997) Optimum methods in statistics. Akademia Kiado, Budapest, Hungary

Steiner F, Hajagos B (1994) Practical definition of robustness. Geophys Trans 38:193–210

Steiner F, Hajagos B (1995) Determination of the parameter errors (demonstrated on a gravimetric example) if the geophysical inversion is carried out as the global minimization of arbitrary norms (demonstrated by the P_c norm). Magyar Geofizika 36:261–276

Sun N-Z (1994) Inverse problems in groundwater modeling. Kluwer, Dordrecht

Szucs P (1994) Comment on an old dogma: ‘the data are normally distributed’. Geophys Trans 38:231–238

Szucs P (2002) Inversion of pumping test data for improved interpretation. In: microCAD 2002, International scientific conference, University of Miskolc, A: Geoinformatics, 7–8 March 2002, pp 107–112

Szucs P, Civan F (1996) Multi-layer well log interpretation using the simulated annealing method. J Pet Sci Eng 14:209–220CrossRef

Szucs P, Ritter Gy (2002) Improved interpretation of pumping test results using simulated annealing optimization. In: ModelCARE 2002, Proceedings of the 4th international conference on calibration and reliability in groundwater modeling, Prague, Czech Republic, 17–20 June 2002. Acta Universitas Carolinae – Geologica 2002, 46(2/3):238–241

Tóth J (1999) Groundwater as a geologic agent: An overview of the causes, processes, and manifestations. Hydrogeol J 7:1–14

Valstar JR (2001) Inverse modeling of groundwater flow and transport. PhD thesis, Delft University of Technology

Valstar JR, McLaughlin DB, te Stroet CBM, van Geer FC (2004) The representer-based inverse method for groundwater flow and transport applications. Water Resour Res 40:W05116. DOI 10.1029/2003WR002922CrossRef

Titel: Applicability of the most frequent value method in groundwater modeling
verfasst von: Peter Szucs
Faruk Civan
Margit Virag
Publikationsdatum: 01.01.2006
Verlag: Springer-Verlag
Erschienen in: Hydrogeology Journal / Ausgabe 1-2/2006
Print ISSN: 1431-2174
Elektronische ISSN: 1435-0157
DOI: https://doi.org/10.1007/s10040-004-0426-1

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