A PRACTICAL THREE-DIMENSIONAL ESTIMATION TECHNIQUE FOR SPATIAL DISTRIBUTION OF GROUNDWATER CONTAMINANT CONCENTRATIONS

  • Richard Ewing (Institute for Scientific Computation, Texas A&M University) ;
  • Kang, Sung-Kwon (Department of Mathematics, Chosun University) ;
  • Kim, Jeon-Gook (Department of Mathematics, Chonnam National University) ;
  • Thomas B.Stauffer (AFRL/MLQR, Tyndall AFB)
  • Published : 2001.05.01

Abstract

To predict the fate of groundwater contaminants, accurate spatially continuous information is needed. Because most field sampling of groundwater contaminants are not conducted spatially continuous manner, a special estimation technique is required to interpolate/extrapolate concentration distributions at unmeasured locations. A practical three-dimensional estimations method for in situ groundwater contaminant concentrations is introduced. It consistas of two general steps: estimation of macroscopic transport process and kriging. Using field data and nonlinear optimization techniques, the macroscopic behavior of the contaminant plume is estimated. A spatial distribution of residuals is obtained by subtracting the macroscopic transport portion from field data, then kriging is applied to estimate residuals at unsampled locations. To reduce outlier effects on obtaining correlations between residual data which are needed for determining variougram models, the R(sub)p-estimator is introduced. The proposed estimation method is applied to a field data set.

Keywords

References

  1. Water Resour. Res. v.28 no.12 Field study of dispersion in a heterogeneous aquifer;2. Spatial moments analysis E. E. Adams;L. W. Gelhar
  2. J. Hydraulic Engineering v.116 no.5 Review of geostatistics in geohydrology.;Ⅰ: Basic concepts;Ⅱ. Applications ASCE Task Committee on Geostatistical Techniques in Geohydrology of the Ground Water Hydrology;Committee of the ASCE Hydraulics Division
  3. Estimation Techniques for Distributed Parameter Systems H. T. Banks;K. Kunish
  4. Water Resour. Res. v.28 no.12 Field study of dispersion in a heterogeneous aquifer;4. Investigation of adsorption and sampling bias J. M. Boggs;E. E. Adams
  5. EPRI Report TR-101998 Transport of tritium and four organic compounds during a natural gradient experiment (MADE-2) J. M. Boggs;L. M. Beard;W. R. Waldrop;T. B. Stauffer;W. G. MacIntyre;C. P. Antworth
  6. Water Resour. Res. v.28 no.12 Field study of dispersion in a heterogeneous aquifer;1. Overview and site description J. M. Boggs;S. C. Young;L. M. Beard;L. W. Gelhar;K. R. Rehfeldt;E. E. Adams
  7. J. Environmental Engineering v.114 no.2;4 Geostatistics applied to groundwater contamination;Ⅰ: Methodology;Ⅱ: Application;Ⅲ: Global estimates R. M. Cooper;J. D. Istok
  8. Math. Geol. v.12 no.2 Robust estimation of the variogram: Ⅰ N. Cressie;D. M. Hawkins
  9. Numerical Methods for Unconstrained Optimization and Nonlinear Equations J. E. Dennis, Jr.;R. B. Schnabel
  10. NATO ASI Ser. Ser. I Glob. Environ. Change v.122 The variogram and Kriging: Robust and resistant estimators, Geostatistics for Natural Resourses Characterization P. A. Dowd
  11. Groundwater R. A. Freeze;J. A. Cherry
  12. Water Resour. Res. v.22 no.13 A natural gradient experiment on solute transport in a sand aquifer;2. Saptial moments and the advection and dispersion of nonreactive tracers D. L. Freyberg
  13. Water Resour. Res. v.27 no.5 Large-scale natural gradient tracer test in sand and gravel, Cape Cod, Massachusetts;2. Analysis of spatial moments for a nonreactive tracer S. P. Garabedian;D. R. Leblanc;L. W. Gelhar;M. A. Celia
  14. Mining Geostatistics(5th ed.) A. G. Journel;J. C. huijbregts
  15. Water Resour. Res. v.27 no.5 Large-scale natural gradient tracer test in sand and gravel, Cape Cod, Massachusetts;1. Experimental design and observed tracer movement D. R. Leblanc;S. P. Garabedian;K. M. Hess;L. W. Gelhar;R. D. Quardri;K. G. Stollenwerk;W. W. Wood
  16. Water Resour. Res. v.29 no.12 Degradation kinetics of aromatic organic solutes introduced into a heterogeneous aquifer W. G. MacIntyre;M. Boggs;C. P. Antworth;T. B. Stauffer
  17. Water Resour. Res. v.22 no.13 A natural gradient experiment on solute transport in a sand aquifer;1. Approach and overview of plume movement D. M. Mackay;D. L. Freyberg;P. V. Roberts;J. A. Cherry
  18. J. SIAM v.11 An algorithm for least squares estimation of nonlinear parameters D. W. Marquardt
  19. Proc. EPA National Conference on Management of Uncontrolled Hazardous Wastes Mapping contaminated soil plumes by kriging S. F. Moore;D. B. Mclaughlin
  20. Iterative Solution of Nonlinear Equations in Several Variables J. M. Ortega;W. C. Rheinboldt
  21. Semigroups of Linear Operators and Applications to Partial Differential Equations A. Pazy
  22. Numerical Recipes in Fortran: The Art of Scientific Computing(2nd ed.) W. H. Press;S. A. Teukolsky;W. T. Vetterling;B. P. Flannery
  23. Water Resour. Res. v.28 no.12 Field study of dispersion in a heterogeneous aquifer;3. Geostatistical analysis of hydraulic conductivity K. R. Rehfeldt;J. M. Boggs;L. W. Gelhar
  24. Water Resour. Res. v.27 no.10 Spatial variability of strontium distribution coefficients and their correlation with hydraulic conductivity in the Canadian Forces Base Borden aquifer M. J. L. Robin;E. A. Sudicky;R. W. Gillham;R. G. Kachanoski
  25. Functional Analysis W. Rudin
  26. Water Resour. Res. v.22 no.13 A natural gradient experiment on solute transport in a sand aquifer;Spatial variability of hydraulic conductivity and its role in the dispersion process E. A. Sudicky
  27. Water Resour. Res. v.28 no.9 Inversion of the Borden tracer experiment data: Investigation of stochastic moment models A. D. Woodbury;E. A. Sudicky
  28. J. Envir. Engrg. v.112 no.4 Geostatistical analysis of hazardous waste data J. H. Zirschky;D. J. Harris
  29. J. Envir. Engrg. v.111 no.6 Spatial estimation of hazardous waste site data J. H. Zirschky;G. P. Keary;R. O. Gilbert;E. J. Middlebrooks