Sparse data integration for the interpolation of concentration measurements using kriging in natural coordinates

Journal of Hydrology

Volumn 416-417, Issue , 2012, Pages 72-82

  Rivest, M ^a   Marcotte, D ^a   Pasquier, P ^a  

^a ÉCOLE POLYTECHNIQUE DE MONTRÉAL   (Canada)

Author keywords

Contaminant plume; Coordinate transformation; Groundwater; Kriging; Natural coordinates; Stream function

Indexed keywords

CONTAMINANT PLUME; COORDINATE TRANSFORMATION; KRIGING; NATURAL COORDINATES; STREAMFUNCTIONS;

ANISOTROPY; DATA HANDLING; GROUNDWATER; GROUNDWATER FLOW; INTERPOLATION; METADATA;

GROUNDWATER POLLUTION;

ADVECTION; ANISOTROPY; DATA ASSIMILATION; DISPERSION; FLOW MODELING; GEOSTATISTICS; GROUNDWATER FLOW; GROUNDWATER POLLUTION; HYDRAULIC HEAD; KRIGING; PLUME; POLLUTANT TRANSPORT; STREAMFLOW; THREE-DIMENSIONAL FLOW; TWO-DIMENSIONAL MODELING; WELL WATER;

EID: 84855292578     PISSN: 00221694     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jhydrol.2011.11.043     Document Type: Article

References (47)

1. Almendral, A., Abrahamsen, P., Hauge, R., 2008. Multidimensional scaling and anisotropic covariance functions. In: Proceedings of the Eight International Geostatistics Congress. Santiago, Chile.
2. Anderson M.P., Woessner W.W. Applied Groundwater Modeling: Flow and Advective Simulation 2002, Academic Press, New York.
3. API, 2006. Downward solute plume migration: Assessment, significance, and implications for characterization and monitoring of "diving plumes. Regulatory Analysis and Scientific Affairs, API Soil and Groundwater Technical Task Force Bulletin 24.
4. Bailly J., Monestiez P., Lagacherie P. Modelling spatial variability along drainage networks with geostatistics. Math. Geol. 2006, 38(5):515-539.
5. Barabas N., Goovaerts P., Adriaens P. Geostatistical assessment and validation of uncertainty for three-dimensional dioxin data from sediments in an estuarine river. Environ. Sci. Technol. 2001, 35(16):3294-3301.
6. Bear J. Dynamics of Fluids in Porous Media 1972, American Elsevier.
7. Blouin, M., 2010. Caractérisation de l'hétérogénéité de la conductivité hydraulique et simulations du transport de contaminants. Secteur d'essais de RDDC-Valcartier. Master's thesis, INRS-ETE.
8. Boisvert J.B., Deutsch C.V. Programs for kriging and sequential gaussian simulation with locally varying anisotrpy using non-euclidean distances. Comput. Geosci. 2010, 37(4):495-510.
9. Boisvert J.B., Manchuk J.G., Deutsch C.V. Kriging in the presence of locally varying anisotropy using non-euclidean distances. Math. Geosci. 2009, 41:585-601.
10. Bramlett W., Borden R.C. Numerical generation of flow nets - the flowns model. Ground Water 1990, 28(6):946-950.
11. Buxton H.T., Modica E. Patterns and rates of ground-water flow on long island, new york. Ground Water 1992, 30(6):857-866.
12. Chilès J.-P., Delfiner P. Geostatistics: Modeling Spatial Uncertainty. Wiley Series in Probability and Statistics. Applied Probability and Statistics 1999, Wiley, New York, Toronto.
13. Christakos G., Hristopulos D.T., Bogaert P. On the physical geometry concept at the basis of space/time geostatistical hydrology. Adv. Water Resour. 2000, 23:799-810.
14. Cirpka O.A., Frind E.O., Helmig R. Streamline-oriented grid generation for transport modelling in two-dimensional domains including wells. Adv. Water Resour. 1999, 22(7):697-710.
15. Cressie N. Statistics for Spatial Data 1993, Wiley, New York. revised ed.
16. Curriero, F.C., 1996. The use of non-euclidean distances in geostatistics. Ph.D. thesis, Kansas State University.
17. Curriero F.C. On the use of non-euclidean distance measures in geostatistics. Math. Geol. 2006, 38(8):907-926.
18. Dagbert M., David M., Crozel D., Desbarats A. Computing variograms in folded strata-controlled deposits. Geostatistics for Natural Resources Characterization 1984, 71-89. D. Reidel. G. Vergy, M. David, A. Journel, A. Marchal (Eds.).
19. de Fouquet C., Bernard-Michel C. Modèles géostatistiques de concentrations ou de débits le long des cours d'eau. CR Géosci. 2006, 338:307-318.
20. Deutsch C., Wang L. Hierarchical object-based stochastic modeling of fluvial reservoirs. Math. Geol. 1996, 28(7):857-879.
21. Deutsch C.V. Geostatistical Reservoir Modeling 2002, Oxford University Press.
22. Feyen L., Caers J. Quantifying geological uncertainty for flow and transport modeling in multi-modal heterogeneous formations. Adv. Water Resour. 2006, 29:912-929.
23. Fogg G.E., Senger R.K. Automatic generation of flow nets with conventional ground-water modeling algorithms. Ground Water 1985, 23(3):336-344.
24. Frind, E.O., 1982. The principal direction technique: a new approach to groundwater contaminant transport modeling. In: Finite Elements in Water Resources. Proceedings of the 4th International Conference, Hanover, Germany, June 1982.
25. Frind E.O., Matanga G.B. The dual formulation of flow for contaminant transport modeling 1. review of theory and accuracy aspects. Water Resour. Res. 1985, 21(2):159-169.
26. Goovaerts P. Geostatistics for Natural Resources Evaluation 1997, Oxford University Press, Oxford.
27. Hendricks-Franssen H.-J., Gómez-Hernández J., Sahuquillo A. Coupled inverse modelling of groundwater flow and mass transport and the worth of concentration data. J. Hydrol. 2003, 281:281-295.
28. Huysmans M., Dassargues A. Application of multiple-point geostatistics on modeling groundwater flow and transport in a cross-bedded aquifer. Hydrogeol. J. 2009, 17:1901-1911.
29. Kohavi R., Provost F. Glossary of terms. Mach. Learn. 1998, 30:271-274.
30. Kubat M., Holte R.C., Matwin S. Machine learning for the detection of oil spills in satellite radar images. Mach. Learn. 1998, 30:195-215.
31. Legleiter C.J., Kyriakidis P.C. Forward and inverse transformation between cartesian and channel-fitted coordinate systems for meandering rivers. Math. Geol. 2006, 38(8):927-958.
32. Loland A., Host G. Spatial covariance modelling in a complex coastal domain by multidimensional scaling. Environmetrics 2003, 14:307-321.
33. Marcotte, D., Rivest, M., Pasquier, P., Bouzaglou, V., 2008. Simulation of hydraulic head fields compatible with a hydrogeological conceptual model. In: GEOSTATS 2008, Santiago, Chile.
34. Matanga G.B. Stream functions in three-dimensional groundwater flow. Water Resour. Res. 1993, 29(9):3125-3133.
35. Michalak A., Shlomi S. A geostatistical data assimilation approach for estimating groundwater plume distributions from multiple monitoring events. Geophysical Monograph Series 2007, vol. 171:73-88. American Geophysical Union (AGU). D.W. Hyndman, F.D. Day-Lewis, K. Singha (Eds.).
36. Monestiez P., Sampson P., Guttorp P. Modeling of heterogeneous spatial correlation structure by spatial deformation. Cahiers de Géostatistique Fascicule 1993, 3:35-46.
37. Pasquier P., Marcotte D. Steady- and transient-state inversion in hydrogeology by successive flux estimation. Adv. Water Resour. 2006, 29(12):1934-1952.
38. Ponzini G., Lozej A. Identification of aquifer transmissivities: The comparison model method. Water Resour. Res. 1982, 18(3):597-622.
39. Rathbun S.L. Spatial modelling in irregularly shaped regions: kriging estuaries. Environmetrics 1998, 9(2):109-129.
40. Reed P.M., Ellsworth T.R., Minsker B.S. Spatial interpolation methods for nonstationary plume data. Ground Water 2004, 42(2):190-202.
41. Rivest M., Marcotte D., Pasquier P. Hydraulic head field estimation using kriging with an external drift: a way to consider conceptual model information. J. Hydrol. 2008, 361:349-361.
42. Sampson P.D., Guttorp P. Nonparametric-estimation of nonstationary spatial covariance structure. J. Am. Stat. Assoc. 1992, 87(417):108-119.
43. Schwede R.L., Cirpka O.A. Interpolation of steady-state concentration data by inverse modeling. Ground Water 2010, 48:569-579.
44. Shlomi S., Michalak A.M. A geostatistical framework for incorporating transport information in estimating the distribution of a groundwater contaminant plume. Water Resour. Res. 2007, 43:W03412.
45. te Stroet C.B.M., Snepvangers J.J.J.C. Mapping curvilinear structures with local anisotropy kriging. Math. Geol. 2005, 36:635-649.
46. Ver Hoef J.M., Peterson E., Theobald D. Spatial statistical models that use flow ad stream distance. Environ. Ecol. Stat. 2006, 13:449-464.
47. Xu W. Conditional curvilinear stochastic simulation using pixel-based algorithms. Math. Geol. 1996, 28:937-949.