Hydraulic head field estimation using kriging with an external drift: A way to consider conceptual model information

Journal of Hydrology

Volumn 361, Issue 3-4, 2008, Pages 349-361

  Rivest, Martine ^a   Marcotte, Denis ^a   Pasquier, Philippe ^b  

^a ÉCOLE POLYTECHNIQUE DE MONTRÉAL   (Canada)

^b GOLDER ASSOCIATES LTD   (Canada)

Author keywords

Earth dams; Finite element method; Hydraulic head field estimation; Kriging with an external drift; Numerical modelling

Indexed keywords

BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; CONFORMAL MAPPING; DAMS; EARTH SCIENCES; ELASTIC MODULI; FINITE ELEMENT METHOD; GROUNDWATER; GROUNDWATER FLOW; HYDRAULICS; HYDROGEOLOGY; NUMERICAL METHODS; THREE DIMENSIONAL;

EARTH DAMS; HYDRAULIC HEAD FIELD ESTIMATION; KRIGING WITH AN EXTERNAL DRIFT; NUMERICAL MODELLING;

FLUID MECHANICS;

EARTH DAM; FIELD METHOD; FINITE ELEMENT METHOD; GROUNDWATER FLOW; HYDRAULIC HEAD; HYDROLOGICAL MODELING; KRIGING; NUMERICAL METHOD; NUMERICAL MODEL;

EID: 53749090456     PISSN: 00221694     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jhydrol.2008.08.006     Document Type: Article

References (39)

1. Aboufirassi M., and Marino M.A. Kriging of water levels in the Souss aquifer. Morocco Mathematical Geology 15 4 (1983) 537-551
2. Ahmed S., and de Marsily G. Comparison of geostatistical methods for estimating transmissivity using data on transmissivity and specific capacity. Water Resources Research 23 9 (1987) 1717-1737
3. Brochu, Y., 2002. Estimation directe des charges hydrauliques d'un aquifère par krigeage. Master's thesis, École Polytechnique de Montréal.
4. Brochu Y., and Marcotte D. A simple approach to account for radial flow and boundary conditions when kriging hydraulic head fields for confined aquifers. Mathematical Geology 35 2 (2003) 111-136
5. Carrera J., Alcolea A., Medina A., Hidalgo J., and Slooten L.J. Inverse problem in hydrogeology. Hydrogeology Journal 13 1 (2005) 206-222
6. Castelier E. Dérive externe et régression linéaire: compte-rendu des journées de géostatistique. Fontainebleau : cahiers de géostatistique Fascicule 3 (1993) 47-59
7. Chapuis R.P., and Aubertin M. A simplified method to estimate saturated and unsaturated seepage through dikes under steady-state conditions. Canadian Geotechnical Journal 38 6 (2001) 1321-1328
8. Chilès J.-P., and Delfiner P. Geostatistics : Modeling Spatial Uncertainty. 1st ed. (1999), Wiley-Interscience, New York
9. Chilès J.-P., and Guilhen A. Variogrammes et krigeages pour la gravimétrie et le magnétisme. Série Informatique Géologique 1 20 (1984) 455-468
10. Cressie N. Statistics for Spatial Data, revised ed (1993), Wiley, New York
11. Delfiner, P., 1975. Linear estimation of non-stationary spatial phenomena. In: Guarascio, David, Huijbregts (Eds.), Advanced Geostatistics In the Mining Industry : Proceedings of the NATO Advanced Study Institute held at the Istituto di Geologia Applicata of the University of Rome, Dordrecht. pp. 49-68.
12. Delhomme J.P. Kriging in the hydrosciences. Advances in Water Resources 1 5 (1978) 251-266
13. Desbarats A.J., Logan C.E., Hinton M.J., and Sharpe D.R. On the kriging of water table elevations using collateral information from a digital elevation model. Journal of Hydrology 255 1-4 (2002) 25-38
14. Deutsch C., and Journel A.G. GSLIB: Geostatistical Software Library and User's Guide (1992), Oxford University Press
15. Domenico P.A., and Schwartz F.W. Physical and Chemical Hydrogeology. second ed. (1998), John Wiley and Sons, New York, Toronto
16. Draper N., and Smith H. Applied Regression Analysis. second ed. (1981), Wiley, New York
17. Fell R. Geotechnical Engineering of Dams (2005), A.A Balkema Publishers, Leiden, The Netherlands
18. Gambolati G., and Volpi G. Groundwater contour mapping in Venice by stochastic interpolators 1 Theory. Water Resources Research 12 2 (1979) 281-290
19. Goovaerts P. Geostatistics for Natural Resources Evaluation (1997), Oxford University Press, Oxford
20. Hadamard J. Le Problème de Cauchy (1932), Herman et Cie., Paris
21. Handcock M.S., and Wallis J.R. An approach to statistical spatial-temporal modeling of meteorological fields. Journal of the American Statistical Association 89 426 (1994) 368-390
22. Leroueil S., Le Bihan J.-P., Sebaihi S., and Alicescu V. Hydraulic conductivity of compacted tills from northern Quebec. Canadian Geotechnical Journal 39 5 (2002) 1039-1049
23. Marcotte D. Cokriging with Matlab. Computers and Geosciences 17 9 (1991) 1265-1280
24. Marcotte D., and Chouteau M. Gravity data transformation by kriging. In: Soares A. (Ed). Geostatistics Tròia 1992 vol. 1 (1993), Kluwer Academic, Dordrecht, The Netherlands 249-269
25. Marcotte D., and David M. Trend surface analysis as a special case for IRF-k kriging. Mathematical Geology 20 7 (1988) 821-824
26. Maréchal, A., 1984. Kriging seismic data in the presence of faults. In: Vergy, G., David, M., Journel, A.G., Maréchal, A. (Eds.), Geostatistics for Natural Resources Characterization, vol. 122 of NATO ASI Series C: Mathematical and Physical Sciences. D. Reidel Publ, Dordecht, The Netherlands, pp. 271-294.
27. Pardo-Iguzquiza E. Bayesian inference of spatial covariance parameters. Mathematical Geology 31 1 (1999) 47-65
28. Pasquier P., and Marcotte D. Steady- and transient-state inversion in hydrogeology by successive flux estimation. Advances in Water Resources 29 12 (2006) 1934-1952
29. Ponzini G., and Lozej A. Identification of aquifer transmissivities : the comparison model method. Water Resources Research 18 3 (1982) 597-622
30. Rivest, M., 2007. Estimation du champ de charges hydrauliques par krigeage avec dérive externe. Master's thesis, École Polytechnique de Montréal.
31. Rivest, M., Marcotte, D., Pasquier, P., 2006. Including conceptual model information when kriging hydraulic heads. In: Geostatistics for Environmental Applications, Proceedings of the Sixth European Conference on Geostatistics for Environmental Applications, Rhodes, 2006.
32. Soulié, M., 1984. Geostatistical applications in geotechnics. In: Verly, G., David, M., Journel, A.G., Maréchal, A. (Eds.), Geostatistics for Natural Resources Characterization, vol. 122 of NATO ASI Series C: Mathematical and Physical Sciences. D. Reidel Publ, Dordrecht, The Netherlands, pp. 703-730.
33. Soulié M., Favre M., and Konrad J.M. Analyse géostatistique d'un noyau de barrage tel que construit. Canadian Geotechnical Journal 20 3 (1983) 453-467
34. Stein M.L. Interpolation of Spatial Data: Some Theory for Kriging (1999), Springer-Verlag, New York
35. Tonkin M., and Larson S. Kriging water levels with a regional-linear and point logarithmic drift. Ground Water 33 1 (2002) 185-193
36. Vanapalli S.K., Fredlund D.G., and Pufahl D.E. The influence of soil structure and stress history on the soil-water characteristics of a compacted till. Géotechnique 49 2 (1999) 143-159
37. Wackernagel H. Multivariate Geostatistics : An Introduction with Applications. 3rd ed. (2003), Springer, Berlin
38. Watabe Y., Leroueil S., and Le Bihan J.-P. Influence of compaction conditions on pore-size distribution and saturated hydraulic conductivity of a glacial till. Canadian Geotechnical Journal 37 6 (2000) 1184-1194
39. Zimmerman D.L., and Zimmerman M.B. A Monte Carlo comparison of spatial variogram estimators and corresponding kriging predictors. Technometrics 33 1 (1991) 77-91