Skip to main content

2014 | OriginalPaper | Buchkapitel

4. Model Identification

verfasst von : Vikenti Gorokhovski

Erschienen in: Effective Parameters of Hydrogeological Models

Verlag: Springer International Publishing

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

To predict responses of geological objects on man-made or natural impacts applying mathematical methods, i.e., by solving differential or integral equations, the pertinent properties of the geological objects should be assigned continuously, that is, at each point of the objects and at each instant of the period of simulations, if the properties vary in time, besides maybe countable sets of points, i.e., isolated in space and time points. The boundary and initial conditions must be known in the same way. Unfortunately, only an infinitesimal part of the required geological information is available for direct observations and measurements. The information gap must be filled and geological models do the job. They are a tool of interpolation and extrapolation of the sparse available data on all points of the geological objects of interest.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literatur
Zurück zum Zitat Allison H (1979) Inverse unstable problems and some of their applications. Math Sci 4:3–30 Allison H (1979) Inverse unstable problems and some of their applications. Math Sci 4:3–30
Zurück zum Zitat Aster RC, Borchers B, Thurber CH (2005) Parameter estimation and inverse problems. Elsevier Academic Press, Waltham, p 298 Aster RC, Borchers B, Thurber CH (2005) Parameter estimation and inverse problems. Elsevier Academic Press, Waltham, p 298
Zurück zum Zitat Batu V (2006) Applied flow and solute transport modeling in aquifers: fundamental principles and analytical and numerical methods. CRC Press, Taylor and Francis Group, Boca Raton, p 667 Batu V (2006) Applied flow and solute transport modeling in aquifers: fundamental principles and analytical and numerical methods. CRC Press, Taylor and Francis Group, Boca Raton, p 667
Zurück zum Zitat Beven K (1989) Changing ideas in hydrology—the case of physically-based models. J Hydrol 105:157–172 (Amsterdam)CrossRef Beven K (1989) Changing ideas in hydrology—the case of physically-based models. J Hydrol 105:157–172 (Amsterdam)CrossRef
Zurück zum Zitat Beven K (2005) On the concept of model structural error. Water Sci Technol 52(6):167–175 (IWA Publishing) Beven K (2005) On the concept of model structural error. Water Sci Technol 52(6):167–175 (IWA Publishing)
Zurück zum Zitat Carrera J, Neuman SP (1986) Estimation of aquifer parameters under transient and steady state conditions: 2. Uniqueness, stability, and solution algorithms. Water Resour Res 22(2):211–227CrossRef Carrera J, Neuman SP (1986) Estimation of aquifer parameters under transient and steady state conditions: 2. Uniqueness, stability, and solution algorithms. Water Resour Res 22(2):211–227CrossRef
Zurück zum Zitat Carrera J, Alcolea A, Medina A, Hidalgo J, Stooten L (2005) Inverse problem in hydrogeology. Hydrogeol J 13:206–222CrossRef Carrera J, Alcolea A, Medina A, Hidalgo J, Stooten L (2005) Inverse problem in hydrogeology. Hydrogeol J 13:206–222CrossRef
Zurück zum Zitat Cooley RL (2004) A theory for modeling ground-water flow in heterogeneous media. Professional Paper 1679, US Geological Survey (USGS), Reston, VA Cooley RL (2004) A theory for modeling ground-water flow in heterogeneous media. Professional Paper 1679, US Geological Survey (USGS), Reston, VA
Zurück zum Zitat De Marsily G, Combes P, Golbert P (1992) Comments on “Ground-water models cannot be validated”, by LF Konikow , JD Bredehoeft. Adv Water Res 15:367–369CrossRef De Marsily G, Combes P, Golbert P (1992) Comments on “Ground-water models cannot be validated”, by LF Konikow , JD Bredehoeft. Adv Water Res 15:367–369CrossRef
Zurück zum Zitat Flavelle P (1992) A quantitative measure of model validation and its potential use for regulatory purposes. Adv Water Res 15:5–13CrossRef Flavelle P (1992) A quantitative measure of model validation and its potential use for regulatory purposes. Adv Water Res 15:5–13CrossRef
Zurück zum Zitat Freyberg DL (1988) An exercise in ground-water model calibration and prediction. Ground Water 26(3):350–360CrossRef Freyberg DL (1988) An exercise in ground-water model calibration and prediction. Ground Water 26(3):350–360CrossRef
Zurück zum Zitat Frind EO, Hokkanen GB (1987) Simulation of the borden plume using the alternate direction Galerkin technique. WRR 23(5):918–930CrossRef Frind EO, Hokkanen GB (1987) Simulation of the borden plume using the alternate direction Galerkin technique. WRR 23(5):918–930CrossRef
Zurück zum Zitat Frind EO, Matanga GB, Cherry JA (1985) The dual formulation of flow for contaminant transport modeling. 2. The borden aquifer. WRR 21(2):170–182CrossRef Frind EO, Matanga GB, Cherry JA (1985) The dual formulation of flow for contaminant transport modeling. 2. The borden aquifer. WRR 21(2):170–182CrossRef
Zurück zum Zitat Gorokhovski VM (1977) Mathematical methods and reliability of hydrogeological and engineering geological predictions (Maтeмaтичecкиe мeтoды и дocтoвepнocть гидpoгeoлoгичecкиx и инжeнepнo-гeoлoгичecкиx пpoгнoзoв). Nedra, Moscow, p 77 (in Russian) Gorokhovski VM (1977) Mathematical methods and reliability of hydrogeological and engineering geological predictions (Maтeмaтичecкиe мeтoды и дocтoвepнocть гидpoгeoлoгичecкиx и инжeнepнo-гeoлoгичecкиx пpoгнoзoв). Nedra, Moscow, p 77 (in Russian)
Zurück zum Zitat Gorokhovski VM, Weaver JW (2007) A catalog of ground water flow solutions for plume diving calculations. United States environmental protection agency, Washington, DC, 20460, EPA/600/R-07/122 Gorokhovski VM, Weaver JW (2007) A catalog of ground water flow solutions for plume diving calculations. United States environmental protection agency, Washington, DC, 20460, EPA/600/R-07/122
Zurück zum Zitat Hornung U (1988) Parameter identification, proceedings of the international symposium on water quality modeling of agricultural non-point sources, part 2, US Department of Agriculture, agriculture research service, ARS-81, pp 755–764, 19–23 June 1988 Hornung U (1988) Parameter identification, proceedings of the international symposium on water quality modeling of agricultural non-point sources, part 2, US Department of Agriculture, agriculture research service, ARS-81, pp 755–764, 19–23 June 1988
Zurück zum Zitat Kerr RA (1993) Looking-deeply-into the earth’s crust in Europe. Science 261:295–297CrossRef Kerr RA (1993) Looking-deeply-into the earth’s crust in Europe. Science 261:295–297CrossRef
Zurück zum Zitat Kola (1984) Kola super-deep, studies of continental crust deep structure by boring kola super-deep bore (Кoльcкaя Cвepx Глyбoкaя. Иccлeдoвaния Глyбoкoгo Cтpoeния Кoнтинeнтaльнoй Кopы Бypeниeм Кoльcкoй Cвepx Глyбoкoй Cквaжины). Moscow, Nedra, p 499 (in Russian) Kola (1984) Kola super-deep, studies of continental crust deep structure by boring kola super-deep bore (Кoльcкaя Cвepx Глyбoкaя. Иccлeдoвaния Глyбoкoгo Cтpoeния Кoнтинeнтaльнoй Кopы Бypeниeм Кoльcкoй Cвepx Глyбoкoй Cквaжины). Moscow, Nedra, p 499 (in Russian)
Zurück zum Zitat Konikow LF, Bredehoeft JD (1992) Ground-water models cannot be validated. Adv Water Res 15(2):75–83CrossRef Konikow LF, Bredehoeft JD (1992) Ground-water models cannot be validated. Adv Water Res 15(2):75–83CrossRef
Zurück zum Zitat Kool JB, Parker JC, van Genuchten MT (1987) Parameter estimation for unsaturated flow and transport models: a review. J Hydrol 91:255–293CrossRef Kool JB, Parker JC, van Genuchten MT (1987) Parameter estimation for unsaturated flow and transport models: a review. J Hydrol 91:255–293CrossRef
Zurück zum Zitat Lerner DN (1985) Are ground water models misleading? In: Advanced water-engineering proceedings of the international symposium, Birmingham, pp 124–128, 15–19 July 1985 Lerner DN (1985) Are ground water models misleading? In: Advanced water-engineering proceedings of the international symposium, Birmingham, pp 124–128, 15–19 July 1985
Zurück zum Zitat Mercer JW, Faust CR (1981) Ground-water modeling. National Water Well Association, Worthington, p 60 Mercer JW, Faust CR (1981) Ground-water modeling. National Water Well Association, Worthington, p 60
Zurück zum Zitat Moore C, Doherty J (2006) The cost of uniqueness in groundwater model calibration. Adv Water Res 29(4):605–623CrossRef Moore C, Doherty J (2006) The cost of uniqueness in groundwater model calibration. Adv Water Res 29(4):605–623CrossRef
Zurück zum Zitat Morton A (1993) Mathematical models: questions of trustworthiness. Br J Phil Sci 44:659–674CrossRef Morton A (1993) Mathematical models: questions of trustworthiness. Br J Phil Sci 44:659–674CrossRef
Zurück zum Zitat Neuman SP, Orr S (1993) Prediction of steady state flow in nonuniform geologic media by conditional moments: exact nonlocal formalism, effective conductivities, and weak approximation. WWR 29(2):341–364 Neuman SP, Orr S (1993) Prediction of steady state flow in nonuniform geologic media by conditional moments: exact nonlocal formalism, effective conductivities, and weak approximation. WWR 29(2):341–364
Zurück zum Zitat Oreskes N (2004) Science and public policy: what’s proof got to do with it? Environ Sci Policy 7:369–383 (Elsevier, Amsterdam)CrossRef Oreskes N (2004) Science and public policy: what’s proof got to do with it? Environ Sci Policy 7:369–383 (Elsevier, Amsterdam)CrossRef
Zurück zum Zitat Oreskes N, Shrader-Frechette K, Belitz K (1994) Verification, validation, and conformation of numerical models in earth sciences. Science 263(4):641–646CrossRef Oreskes N, Shrader-Frechette K, Belitz K (1994) Verification, validation, and conformation of numerical models in earth sciences. Science 263(4):641–646CrossRef
Zurück zum Zitat Polubarinova-Kochina PY (1962) Theory of ground flow. Princeton University Press, Princeton, NJ Polubarinova-Kochina PY (1962) Theory of ground flow. Princeton University Press, Princeton, NJ
Zurück zum Zitat Strack ODL (1989) Groundwater mechanics. Prentice-Hall, Englewood Cliffs, p 732 Strack ODL (1989) Groundwater mechanics. Prentice-Hall, Englewood Cliffs, p 732
Zurück zum Zitat Tikhonov NA, Arsenin VY (1977) Solution of ill-posed problems. Halsted, Washington, p 230 Tikhonov NA, Arsenin VY (1977) Solution of ill-posed problems. Halsted, Washington, p 230
Zurück zum Zitat van Genuchten MT, Gorelick SM, Yeh WWG (1988) Application of parameter estimation technique to solute transport studies. In: Proceedings of the international symposium on water quality modeling of agricultural non-point sources, part 2, U.S. Department of Agriculture, agriculture research service, ARS-81, pp 731–753, 19–23 June 1988 van Genuchten MT, Gorelick SM, Yeh WWG (1988) Application of parameter estimation technique to solute transport studies. In: Proceedings of the international symposium on water quality modeling of agricultural non-point sources, part 2, U.S. Department of Agriculture, agriculture research service, ARS-81, pp 731–753, 19–23 June 1988
Zurück zum Zitat Yakowitz S, Ducstein L (1980) Instability in aquifer identification: theory and case study. WRR 16(8):1045–1064CrossRef Yakowitz S, Ducstein L (1980) Instability in aquifer identification: theory and case study. WRR 16(8):1045–1064CrossRef
Zurück zum Zitat Yeh WWG (1986) Review of parameter identification procedures in ground water hydrology: the inverse problem. WWR 22(2):95–108 Yeh WWG (1986) Review of parameter identification procedures in ground water hydrology: the inverse problem. WWR 22(2):95–108
Zurück zum Zitat Yeh WWG, Yoon YS (1981) Aquifer parameter identification with optimum dimension in parameterization. WRR 17(3):664–672CrossRef Yeh WWG, Yoon YS (1981) Aquifer parameter identification with optimum dimension in parameterization. WRR 17(3):664–672CrossRef
Metadaten
Titel
Model Identification
verfasst von
Vikenti Gorokhovski
Copyright-Jahr
2014
DOI
https://doi.org/10.1007/978-3-319-03569-7_4