Importance of the nugget effect in variography on modeling zinc leaching from a contaminated site using simulated annealing

Journal of Hydrology

Volumn 389, Issue 1-2, 2010, Pages 78-89

  Hofmann, Thilo ^a   Darsow, Andreas ^a   Schafmeister, Maria Theresia ^b  

^a UNIVERSITY OF VIENNA   (Austria)

^b UNIVERSITY OF GREIFSWALD   (Germany)

Author keywords

Geostatistic; Heavy metal; Simulated annealing; Stochastic simulation; Zinc

Indexed keywords

ANALYTICAL ERRORS; CONTAMINATED SITES; DATA HETEROGENEITY; DATA SETS; DRILL HOLE; GEOLOGICAL SETTING; GEOSTATISTIC; GEOSTATISTICAL MODELS; INPUT DATAS; KRIGING; LOCAL ERROR; MEASURED DATA; NUGGET-EFFECT; REDUCED DATA; SAMPLING DENSITIES; SAMPLING GRIDS; SEMIVARIOGRAMS; SITE-SPECIFIC; SPATIAL DATA; SPATIAL HETEROGENEITY; STOCHASTIC SIMULATION; STOCHASTIC SIMULATIONS; TRANSPORT MODELS; VARIOGRAPHY;

ANNEALING; COMPUTER SIMULATION; CONTAMINATION; ERROR STATISTICS; HEAVY METALS; LEACHING; METAL ANALYSIS; RISK ASSESSMENT; RISK MANAGEMENT; ROCK DRILLS; STOCHASTIC MODELS; STOCHASTIC SYSTEMS; UNCERTAINTY ANALYSIS; ZINC;

SIMULATED ANNEALING;

ANNEALING; DATA INTERPRETATION; DATA SET; ERROR ANALYSIS; GEOSTATISTICS; HISTOGRAM; KRIGING; LEACHING; RISK ASSESSMENT; STOCHASTICITY; UNCERTAINTY ANALYSIS; VARIOGRAM; ZINC;

EID: 77954385726     PISSN: 00221694     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jhydrol.2010.05.024     Document Type: Article

References (71)

1. Achten C., Hofmann T. Native polycyclic aromatic hydrocarbons (PAH) in coals - a hardly recognized source of environmental contamination. Science of the Total Environment 2009, 407(8):2461-2473.
2. Back P.E. A model for estimating the value of sampling programs and the optimal number of samples for contaminated soil. Environmental Geology 2007, 52(3):573-585.
3. Beck B. Water quality modelling: a review of the analysis of uncertainty. Water Resources Research 1987, 23(8):1393-1442.
4. Brus D.J., Heuvelink G.B.M. Optimization of sample patterns for universal kriging of environmental variables. Geoderma 2007, 138(1-2):86-95.
5. Cambardella C.A., Moorman T.B., Novak J.M., Parkin T.B., Karlen D.L., Turco R.F., Konopka A.E. Field-scale variability of soil properties in central Iowa soils. Soil Science Society of America Journal 1994, 58(5):1501-1511.
6. Cappuyns V., Swennen R., Verhulst J. Assessment of acid neutralizing capacity and potential mobilisation of trace metals from land-disposed dredged sediments. Science of the Total Environment 2004, 333(1-3):233-247.
7. Cemek B., Kizilkaya R. Spatial variability and monitoring of Pb contamination of farming soils affected by industry. Environmental Monitoring and Assessment 2006, 117(1-3):357-375.
8. Darsow, A., Schafmeister, M.-Th., Hofmann, T., 2009. An ArcGIS® approach to include tectonic structures in point data regionalisation. Ground Water. doi:10.1111/j.1745-6584.2009.00546.x.
9. De Vries, W., Schütze, G., Lofts, S., Tipping, E., Meili, M., Römkens, P.F.A.M., Groenenberg, J.E., 2005. Calculation of Critical Loads for Cadmium, Lead and Mercury. Background Document to a Mapping Manual on Critical Loads of Cadmium, Lead and Mercury.
10. Demougeot-Renard H., De Fouquet C., Renard P. Forecasting the number of soil samples required to reduce remediation cost uncertainty. Journal of Environmental Quality 2004, 33(5):1694-1702.
11. Deutsch C.V., Journel A.G. GSLib: Geostatistical Software Library and Useŕs guide 1998, Oxford University Press, New York, Oxford. second ed.
12. Dijkstra J.J., Meeussen J.C.L., Comans R.N.J. Leaching of heavy metals from contaminated soils: an experimental and modelling study. Environmental Science and Technology 2004, 38(16):4390-4395.
13. DIN 19682-2, 1996. Bodenuntersuchungsverfahren im Landwirtschaftlichen Wasserbau - Felduntersuchungen - Teil 2: Bestimmung der Bodenart, Beuth Berlin, Wien, Zürich.
14. DIN ISO 11260, 1994. Bestimmung der effektiven Kationenaustauschkapazität und der Basensättigung unter Verwendung von Bariumchloridlösung. Beuth, Berlin, Wien, Zürich.
15. DIN ISO 13536, 1995. Bodenbeschaffenheit: Bestimmung der potentiellen Kationenaustauschkapazität und der austauschbaren Kationen unter Verwendung einer bei pH=8,1 gepufferten Bariumchloridlösung. Beuth, Berlin, Wien, Zürich.
16. Du P., Xue N., Liu L., Li F. Distribution of Cd, Pb, Zn and Cu and their chemical speciations in soils from a peri-smelter area in northeast China. Environmental Geology 2008, 55(1):205-213.
17. Dudka S., Adriano D.C. Environmental impacts of metal ore mining and processing: a review. Journal of Environmental Quality 1997, 26(3):590-602.
18. Elzinga E.J., Van Grinsven J.J.M., Swartjes F.A. General purpose Freundlich isotherms for cadmium, copper and zinc in soils. European Journal of Soil Science 1999, 50(1):139-149.
19. Ersoy A., Yunsel T.Y., Atici ü. Geostatistical conditional simulation for the assessment of contaminated land by abandoned heavy metal mining. Environmental Toxicology 2008, 23(1):96-109.
20. Franco C., Soares A., Delgado J. Geostatistical modelling of heavy metal contamination in the topsoil of Guadiamar river margins (S Spain) using a stochastic simulation technique. Geoderma 2006, 136(3-4):852-864.
21. Gómez-Hernández J.J., Wen X.H. To be or not to be multi-Gaussian? A reflection on stochastic hydrogeology. Advances in Water Resources 1998, 21(1):47-61.
22. Goovaerts P. Geostatistics for Natural Resources Evaluation 1997, Oxford University Press, New York.
23. Goovaerts P. Geostatistics in soil science. State-of-the-art and perspectives. Geoderma 1999, 89(1-2):1-45.
24. Goovaerts P. Geostatistical modelling of uncertainty in soil sciences. Geoderma 2001, 103(1-2):3-26.
25. Gringarten E., Deutsch C.V. Teacher's aide: variogram interpretation and modelling. Mathematical Geology 2001, 33(4):507-534.
26. Hansen, E., Lassen, C., Stuer-Lauridsen, F., Kjølholt, J., 2002. Heavy Metals in Waste. European Commision DG ENV. E3, Brussels.
27. Hassan, A.E., Bekhit, H.M., Chapman, J.B., 2009. Using Markov Chain Monte Carlo to quantify parameter uncertainty and its effect on predictions of a groundwater flow model. Environmental Modelling and Software. doi:10.1016/j.envsoft.2008.11.002.
28. Hendriks L.A.M., Leummens H., Stein A., De Bruijn P.J. Use of soft data in a GIS to improve estimation of the volume of contaminated soil. Water Air and Soil Pollution 1996, 101(1-4):217-234.
29. Heuvelink G.B.M., Webster R. Modelling soil variations: past, present and future. Geoderma 2001, 100(3-4):269-301.
30. HLUG, 2005. Flächendifferenzierte Untersuchung zu möglichen Auswirkungen einer Klimaänderung auf die Grundwasserneubildung in Hessen. Hessisches Landesamt für Umwelt und Geologie (HLUG), Abschlussbericht für den Bereich Grundwasser, Wiesbaden, 2005.
31. Hofmann T., Schuwirth N. Zn and Pb release of sphalerite (ZnS)-bearing mine waste tailings. Journal of Soil and Sediments 2008, 8(6):433-441.
32. Hofmann T., von der Kammer F. Estimating the relevance of engineered carbonaceous nanoparticle facilitated transport of hydrophobic organic contaminants in porous media. Environmental Pollution 2009, 157(4):1117-1126.
33. Journel A.G. The abuse of principles in model building and the quest for objectivity. Geostatistics Wollongong '96 1997, Kluwer Academic Publishers, Dordrecht. E.Y. Baafi, N.A. Schofield (Eds.).
34. Kerry R., Oliver M.A. Determining the effect of asymmetric data on the variogram. I. Underlying asymmetry. Computer & Geosciences 2007, 33(10):1212-1232.
35. Kerry R., Oliver M.A. Determining the effect of asymmetric data on the variogram. II. Outliers. Computer and Geosciences 2007, 33(10):1233-1260.
36. Kirkpatrick S., Gelatt C., Vecchi M. Optimization by simulated annealing. Science 1983, 220(4598):671-680.
37. Koptsik S., Kopsik G., Livantsova S., Eruslankin L., Zhmelkova T., Vologdina Z. Heavy metals in soils near the nickel smelter: chemistry, spatial variation, and impacts on plant diversity. Journal of Environmental Monitoring 2003, 5(3):441-450.
38. Kumpulainen S., von der Kammer F., Hofmann T. Humic acid adsorption and surface charge effects on schwertmannite and goethite in acid sulphate waters. Water Research 2008, 42(8-9):2051-2060.
39. Lado L.R., Hengl T., Reuter H.I. Heavy metals in European soils: a geostatistical analysis of the FORGIS geochemical database. Geoderma 2008, 148(2):189-199.
40. Lark R.M. A comparison of some robust estimators of the variogram for use in soil survey. European Journal of Soil Science 2000, 51(1):137-157.
41. Lark R.M. Optimized spatial sampling of soil for estimation of the variogram by maximum likelihood. Geoderma 2002, 105(1-2):49-80.
42. Lark R.M., Bellamy P.H., Rawlins B.G. Spatio-temporal variability of some metal concentrations in the soil of eastern England, and implications for soil monitoring. Geoderma 2006, 133(3-4):363-379.
43. Lehr, B., 2005. Modelling of zinc discharge from a contaminated industrial site. (Modellierung des Zinkaustrages aus einer Industriealtlast). Diploma thesis at Johannes-Gutenberg University, Mainz.
44. Li J., Huang G.H., Zeng G., Maqsood I., Huang Y. An integrated fuzzy-stochastic modelling approach for risk assessment of groundwater contamination. Journal of Environmental Management 2007, 82(2):173-188.
45. Lin Y.P., Chang T.K., Teng T.P. Characterization of soil lead by comparing sequential Gaussian simulation, simulated annealing simulation and kriging methods. Environmental Geology 2001, 41(1-2):189-199.
46. Lin Y.P., Tan Y.C., Rouhani S. Identifying spatial characteristics of transmissivity using simulated annealing and kriging methods. Environmental Geology 2001, 41(1-2):200-208.
47. Marchant B.P., Lark R.M. Optimized sample schemes for geostatistical surveys. Mathematical Geology 2007, 39(1):113-134.
48. Matern, B., 1960. Spatial Variation. Meddelanden fran Statens Skogsforskningsinstitut, vol. 49 (5) (second ed., 1986, Lecture Notes in Statistics, no. 36). Springer, New York.
49. Matheron, G., 1971. The theory of regionalized variables and its applications. Paris School of Mines, Cah. Cent. Morphologie Math., 5, Fontainebleau.
50. McGrath S.P. Long-term studies of metal transfer following applications of seawage sludge. Pollutant Transport and Fate in Ecosystems, Special Publication No. 6 of the British Ecological Society 1987, Blackwell Scientific, Oxford. P.J. Coughtrey, M.H. Martin, M.H. Unsworth (Eds.).
51. Merian, E., Anke, M., Ihnat, M., Stoeppler, M., 2004. Elements and their Compounds in the Environment-occurrence, Analysis and Biological Relevance. Wiley-VCH.
52. Metropolis N., Rosenbluth A., Rosenbluth M., Teller A., Teller E. Equation of state calculation by fast computing machines. Journal Chemical Physics 1953, 21(6):1087-1092.
53. Myers, D.E., 1996. Choosing and using simulation algorithms. In: Mowrer, H.T., Czaplewski, R.L., Hamre, R.H. (Eds.), Spatial Accuracy Assessment in Natural Resources and Environmental Sciences. Second International Symposium. General Technical Report RM-GTR-277. US Department of Agriculture, Forest Service, Fort Collins.
54. Nambu K., Van Hess P.A.W., Essén S.A., Lundström U.S. Assessing centrifugation technique for obtaining soil solution with respect to leaching of low molecular mass organic acids from pine roots. Geoderma 2005, 127(3-4):263-269.
55. Norberg T., Rosén L. Calculating the optimal number of contaminant samples by means of data worth analysis. Environmetrics 2006, 17(7):705-719.
56. Norrman, J., 2004. On Bayesian decision analysis for evaluating alternative actions at contaminated sites. Doktorsavhandlingar vid Chalmers Tekniska Hogskola.
57. Pappenberger F., Beven K.J. Ignorance is bliss: or seven reasons not to use uncertainty analysis. Water Resources Research 2006, 42:W05302. 10.1029/ 2005WR004820.
58. Pardo-Iguzquiza, E., Chica-Olmo, M., 2008. Geostatistics with the Matern semivariogram model: a library of computer programs for inference, kriging and simulation. Computers & Geosciences 34, 1073-1079.
59. Saikia K., Sarkar B.C., Sinha P.M. Application of kriging and simulated annealing for spatial variability modelling of a coal seam. Applied Earth Sciences (Institute of Materials Minerals and Mining) 2007, 116(1):37-48.
60. Saito H., Goovaerts P. Accounting for source location and transport direction into geostatistical prediction of contaminants. Environmental Science and Technology 2001, 35(24):4823-4829.
61. Salminen R., Batista M.J., Bidovec M., Demetriades A., De Vivo B., De Vos W., Duris M., Gilucis A., Gregorauskiene V., Halamic J., Heitzmann P., Lima A., Jordan G., Klaver G., Klein P., Lis J., Locutara J., Marsina K., Mazreku A., ÓConnor P.J., Olsson S.À., Ottesen R.-T., Plant J.A., Reeder S., Salpeeur I., Sandström H., Siewers U., Steenfelt A., Travainen T. Geochemical Atlas of Europe 2005, Geological Survey of Finland, Espoo.
62. Schuwirth N., Hofmann T. Comparability of and alternatives to leaching tests for the assessment of the emission of inorganic soil contamination. Journal of Soils and Sediments 2006, 6(2):102-112.
63. Schuwirth N., Hofmann T. Methods of metal release assessment in soil water at anoxic sites. Acta Hydrochimica et Hydrobiologica 2006, 34(6):579-586.
64. Schuwirth N., Voegelin A., Kretzschmar R., Hofmann T. Vertical distribution and speciation of trace metals in weathering flotation residues of a zinc/lead sulfide mine. Journal of Environmental Quality 2007, 36(1):61-69.
65. Srivastava, R.M., 1996. An overview of stochastic spatial simulation. In: Mowrer, H.T., Czaplewski, R.L., Hamre, R.H. (Eds.), Spatial Accuracy Assessment in Natural Resources and Environmental Sciences. Second International Symposium. General Technical Report RM-GTR-277. US Department of Agriculture, Forest Service, Fort Collins.
66. Srivastava, R.M., 1997. Matheronian geostatistics: where is it going? In: Baafi, E.Y., Schofield, N.A. (Eds.), Geostatistics Wollongong '96. Kluwer Academic Publishers, Dordrecht.
67. Toifl M., Nash D., Roddick F., Porter N. Effect of centrifuge conditions on water and total dissolved phosphorus extraction from soil. Australian Journal of Soil Research 2003, 41(8):1533-1542.
68. Van der Keur P., Iversen B.V. Uncertainty in soil physical data at river basin scale - a review. Hydrology and Earth Sciences 2006, 10(6):889-902.
69. Vanderborght J., Jacques D., Mallants D., Tseng P.H., Feyen J. Analysis of solute redistribution in heterogeneous soils: II. Numerical simulation of solute transport. GeoENV I- Geostaistics for Environmental Applications 1997, Kluver Academic Publishers, Dordrecht. A. Soares, J. Gómez-Hernández, R. Froidevaux (Eds.).
70. Vogel H.-J., Roth K. Moving through scales of flow and transport in soil. Journal of Hydrology 2003, 272(1-4):95-106.
71. Von Steiger B., Webster R., Schulin R., Lehmann R. Mapping heavy metals in polluted soil by disjunctive kriging. Environmental Pollution 1996, 94(2):205-215.