Spatial Interpolation Methods for Nonstationary Plume Data

Ground Water

Volumn 42, Issue 2, 2004, Pages 190-202

  Reed, Patrick M ^a   Ellsworth, Timothy R ^b   Minsker, Barbara S ^b  

^a The Pennsylvania State University   (United States)

^b UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; AQUIFERS; ETHYLENE; INTERPOLATION;

GROUNDWATER PLUME INTERPOLATION; SPARE MONITORING NETWORKS; SPATIAL DISTRIBUTIONS;

GROUNDWATER POLLUTION;

GEOSTATISTICS; GROUNDWATER POLLUTION; INTERPOLATION; KRIGING; PLUME; POLLUTANT TRANSPORT; TETRACHLOROETHYLENE;

ARTICLE; FORECASTING; THEORETICAL MODEL; WATER FLOW; WATER POLLUTANT; WATER SUPPLY;

FORECASTING; MODELS, THEORETICAL; WATER MOVEMENTS; WATER POLLUTANTS; WATER SUPPLY;

EID: 1542290936     PISSN: 0017467X     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1745-6584.2004.tb02667.x     Document Type: Article

References (37)

1. Armstrong, M. 1984. Problems with universal kriging. Mathematical Geology, 16, no. 1: 101-108.
2. ASCE Task Committee on Geostatistical Techniques. 1990a. Review of geostatistics in geohydrology, I: Basic concepts. Journal of Hydraulic Engineering, 116, no. 5: 612-632.
3. ASCE Task Committee on Geostatistical Techniques. 1990b. Review of geostatistics in geohydrology, II: Applications. Journal of Hydraulic Engineering, 116, no. 5: 633-658.
4. Ashby, S.F., and R.D. Falgout. 1996. A parallel multigrid preconditioned conjugate gradient algorithm for ground water flow simulations. Nuclear Science and Engineering 124, no. 1: 145-159.
5. Barry, D.A., and G. Sposito. 1990. Three-dimensional statistical moment analysis of the Stanford/Waterloo Borden tracer data. Water Resources Research 26, no. 8: 1735-1747.
6. Chilès, J.P., and P. Delfiner. 1999. Geostatistics: Modeling Spatial Uncertainty, Wiley Series in Probability and Statistics. New York: John Wiley & Sons.
7. Clark, Isobel. 1979. Practical Geostatistics. London: Applied Science Publishers.
8. Cooper, R.M., and J.D. Istok. 1988a. Geostatistics applied to ground water contamination, I: Methodology. Journal of Environmental Engineerin, 114, no. 2: 270-285.
9. Cooper, R.M., and J.D. Istok. 1988b. Geostatistics applied to ground water contamination, II: Application. Journal of Environmental Engineering 114, no. 2: 287-299.
10. Cooper, R.M., and J.D. Istok. 1988c. Geostatistics applied to ground water pollution, III: Global estimates. Journal of Environmental Engineering 114, no. 4: 915-928.
11. Crawford, C.G., and G.W. Hergert. 1997. Incorporating spatial trends and anisotropy in geostatistical mapping of soil properties. Soil Science Society of America Journal 61, 298-309.
12. Delfiner, P. 1976. Linear estimation of nonstationary spatial phenomena. In Advanced Geostatistics in the Mining Industry, ed. M. Guarascio, 49-68. Doredrecht, Holland: D. Reidel.
13. Deutsch, C.V., and A.G. Journel. 1998. GSLIB: Geostatistical Software Library and User's Guide. New York: Oxford University Press.
14. Fogg, G.E., C.D. Noyes, and S.F. Carle. 1998. Geologically based model of heterogeneous hydraulic conductivity in an alluvial setting. Hydrogeology Journal 6, 131-143.
15. Fogg, G.E., S.F. Carle, and C. Green. 2000. Connected-network paradigm for the alluvial aquifer system. In Theory, Modeling, and Field Investigation in Hydrogeology: A Special Volume in Honor of Shlomo P. Neuman's 60th Birthday, ed. D. Zhang and C.L. Winter, 25-42. Boulder, Colorado: Geological Society of America Special Paper 348.
16. Gambolati, G. and G. Volpi. 1979. A conceptual deterministic analysis of the kriging technique in hydrology. Water Resources Research 15, no. 3: 625-629.
17. Goovaerts, Pierre. 1997. Geostatistics for Natural Resource Evaluation. New York: Oxford University Press.
18. Gotway, C.A., R.B. Ferguson, G.W. Hergert, and T.A. Peterson. 1996. Comparison of kriging and inverse-distance methods for mapping soil parameters. Soil Science Society of America Journal 60, 1237-1247.
19. Hughes, J.P., and D.P. Lettenmaier. 1981. Data requirements for kriging: Estimation and network design. Water Resources Research 17, no. 6: 1641-1650.
20. Issaks, E.H., and R.M. Srivastava. 1989. An Introduction to Applied Geostatistics. New York: Oxford University Press.
21. Journel, A.G. 1983. Nonparametric estimation of spatial distributions. Journal of the International Association for Mathematical Geology 15, no. 3: 445-468.
22. Journel, A.G., and C.V. Deutsch. 1997. Rank order geostatistics: A proposal for a unique coding and common processing of diverse data. In Proceedings of the 5th International Geostatistics Congress, Wollongton '96, Volume 1, Wollongon, Australia, ed. E.Y. Baafi and N.A. Schofield. Dordrecht, The Netherlands: Kluwer Academic Publishers.
23. Journel, A.G., and M.E. Rossi. 1989. When do we need a trend model in kriging? Mathematical Geology 21, no. 7: 715-739.
24. Juang, K.-W., D.-Y. Lee, and T.R. Ellsworth. 2001. Using rank-order geostatistics for spatial interpolation of highly skewed data in a heavy-metal contaminated site. Journal of Environmental Quality 30, 894-903.
25. Kitanidis, P.K. 1983. Statistical estimation of polynomial generalized covariance functions and hydrologic applications. Water Resources Research 19, no. 4: 909-921.
26. Kitanidis, P.K. 1997. Introduction to Geostatistics with Applications in Hydrogeology. New York: Cambridge University Press.
27. Loaiciga, H.A., R.J. Charbeneau, L.G. Everett, G.E. Fogg, B.F. Hobbs, and S. Rouhani. 1992. Review of ground water quality monitoring network design. Journal of Hydraulic Engineering 118, no. 1: 11-37.
28. Marshall R., and K. Mardia. 1985 Minimum norm quadratic estimation of components of spatial covariance. Journal of the International Association for Mathematical Geology 17, no. 5: 517-525.
29. Matheron, G. 1965. Les variables régionalisées et leur estimation: Une application de la théorie des functions aléatoires aux Sciences de la Nature. Paris: Masson.
30. Matheron, G. 1971. The Theory of Regionalized Variables and Its Applications. Fontainebleau, France: Ecole Des Mines.
31. Maxwell, R.M., and W.E. Kastenberg. 1999. Stochastic environmental risk analysis: An integrated methodology for predicting cancer risk from contaminated ground water. Stochastic Environmental Research and Risk Assessment 13, no. 1: 27-47.
32. Maxwell, R.M., S.F. Carle, and F.B. Tompson. 2000. Contamination, risk, and heterogeneity: On the effectiveness of aquifer remediation. Lawrence Livermore National Laboratory Report, UCRL-JC-139664.
33. Moré, J.J. 1977. The Levenberg-Marquardt algorithm: Implementation and theory. In Numerical Analysis, ed. G.A. Watson, 105-116. New York: Springer-Verlag.
34. Noyes, C.D. 1991. Hydrostratigraphic analysis of the pilot remediation test area, Lawrence Livermore National Laboratory, Livermore, California. M.S. thesis, Laurence Livermore National Laboratory, University of California, Davis.
35. Reed, P., B. Minsker, and A.J. Valocchi. 2000. Cost effective long-term ground water monitoring design using a genetic algorithm and global mass interpolation. Water Resources Research 36, no. 12: 3731-3741.
36. Weber, D., and E. Englund. 1992. Evaluation and comparison of spatial interpolators I. Mathematical Geology 24, no. 4: 381-391.
37. Weber, D., and E. Englund. 1994. Evaluation and comparison of spatial interpolators II. Mathematical Geology 26, no. 5: 589-603.