메뉴 건너뛰기




Volumn 122, Issue , 2012, Pages 113-122

Multifractals and geostatistics

Author keywords

Computer simulation; Extreme values; Geostatistics; KTB borehole; Multifractals; Singularity

Indexed keywords

COMPUTER SIMULATION EXPERIMENT; CONCENTRATION VALUES; COPPER DETERMINATION; CORRELOGRAMS; ELEMENT CONCENTRATIONS; EXTREME VALUE; GEO-STATISTICS; GEOCHEMICAL ELEMENTS; GEOSTATISTICAL; GEOSTATISTICAL MODELING; GERMANY; LOCAL MINIMUMS; LOCAL SINGULARITY; MULTI-FRACTAL SPECTRUM; MULTIFRACTAL ANALYSIS; MULTIFRACTALS; NUGGET-EFFECT; OREBODIES; SELF-SIMILARITIES; SINGULARITY; STREAM SEDIMENTS; VARIOGRAMS;

EID: 84867397008     PISSN: 03756742     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.gexplo.2012.04.001     Document Type: Article
Times cited : (99)

References (54)
  • 3
    • 34248539008 scopus 로고
    • Use of spatial analysis in mineral resource evaluation
    • Agterberg F.P. Use of spatial analysis in mineral resource evaluation. Mathematical Geology 1984, 16(6):565-589.
    • (1984) Mathematical Geology , vol.16 , Issue.6 , pp. 565-589
    • Agterberg, F.P.1
  • 4
    • 0001476110 scopus 로고
    • Fractals, multifractals and change of support
    • Kluwer, Dordrecht, R. Dimitrakopoulos (Ed.)
    • Agterberg F.P. Fractals, multifractals and change of support. Geostatistics for the Next Century 1994, 223-234. Kluwer, Dordrecht. R. Dimitrakopoulos (Ed.).
    • (1994) Geostatistics for the Next Century , pp. 223-234
    • Agterberg, F.P.1
  • 5
    • 34248597573 scopus 로고    scopus 로고
    • New applications of the model of de Wijs in regional geochemistry
    • Agterberg F.P. New applications of the model of de Wijs in regional geochemistry. Mathematical Geology 2007, 39:1-25.
    • (2007) Mathematical Geology , vol.39 , pp. 1-25
    • Agterberg, F.P.1
  • 6
    • 34249680309 scopus 로고    scopus 로고
    • Mixtures of multiplicative cascade models in geochemistry
    • Agterberg F.P. Mixtures of multiplicative cascade models in geochemistry. Nonlinear Processes in Geophysics 2007, 14:201-209.
    • (2007) Nonlinear Processes in Geophysics , vol.14 , pp. 201-209
    • Agterberg, F.P.1
  • 7
    • 84867404437 scopus 로고    scopus 로고
    • Origin and detection of chemical element concentration in rocks and orebodies
    • Agterberg F.P. Origin and detection of chemical element concentration in rocks and orebodies. Proceedings CD, IAMG-2011, Salzburg, Austria 2011.
    • (2011) Proceedings CD, IAMG-2011, Salzburg, Austria
    • Agterberg, F.P.1
  • 8
    • 84867398296 scopus 로고    scopus 로고
    • Sampling and analysis of element concentration distribution in rock units and orebodies
    • Agterberg F.P. Sampling and analysis of element concentration distribution in rock units and orebodies. Nonlinear Processes in Geophysics 2012, 19:23-44.
    • (2012) Nonlinear Processes in Geophysics , vol.19 , pp. 23-44
    • Agterberg, F.P.1
  • 10
    • 85060151569 scopus 로고    scopus 로고
    • Prentice Hall, Upper Saddle River, New Jersey
    • Bickel P.J., Dockum K.A. Mathematical Statistics 2001, vol. 1:556. Prentice Hall, Upper Saddle River, New Jersey. Second Edition.
    • (2001) Mathematical Statistics , vol.1 , pp. 556
    • Bickel, P.J.1    Dockum, K.A.2
  • 11
    • 67349217553 scopus 로고    scopus 로고
    • Geochemical anomaly and mineral prospectivity mapping in GIS
    • Elsevier, Amsterdam
    • Carranza E.J.M. Geochemical anomaly and mineral prospectivity mapping in GIS. Handbook of Exploration and Environmental Geochemistry 2008, volume 11:368. Elsevier, Amsterdam.
    • (2008) Handbook of Exploration and Environmental Geochemistry , vol.11 , pp. 368
    • Carranza, E.J.M.1
  • 12
    • 34547353389 scopus 로고    scopus 로고
    • A novel iterative approach for mapping local singularities from geochemical data
    • Chen Z., Cheng Q., Chen J., Xie S. A novel iterative approach for mapping local singularities from geochemical data. Nonlinear Processes in Geophysics 2007, 14:317-324.
    • (2007) Nonlinear Processes in Geophysics , vol.14 , pp. 317-324
    • Chen, Z.1    Cheng, Q.2    Chen, J.3    Xie, S.4
  • 13
    • 84867397637 scopus 로고
    • Multifractal modeling and spatial analysis with GIS: gold potential estimation in th Mitchell-Sulphurets area, northwestern British Columbia. Unpublished Ph.D. thesis, University of Ottawa, Ottawa, 268.
    • Cheng, Q., 1994. Multifractal modeling and spatial analysis with GIS: gold potential estimation in th Mitchell-Sulphurets area, northwestern British Columbia. Unpublished Ph.D. thesis, University of Ottawa, Ottawa, 268.
    • (1994)
    • Cheng, Q.1
  • 14
    • 0012312912 scopus 로고    scopus 로고
    • Multifractal interpolation
    • Tapir Akademisk Forlag, Norway, S.J. Lippard, A. Naess, R.T. Sinding-Larsen (Eds.)
    • Cheng Q. Multifractal interpolation. Proc. Fifth Annual Conf. Internat. Ass. Math. Geol 1999, 245-250. Tapir Akademisk Forlag, Norway. S.J. Lippard, A. Naess, R.T. Sinding-Larsen (Eds.).
    • (1999) Proc. Fifth Annual Conf. Internat. Ass. Math. Geol , pp. 245-250
    • Cheng, Q.1
  • 15
    • 33746191940 scopus 로고    scopus 로고
    • A new model for incorporating spatial association and singularity in interpolation of exploratory data
    • Springer, Dordrecht, the Netherlands, D. Leuanthong, C.V. Deutsch (Eds.)
    • Cheng Q. A new model for incorporating spatial association and singularity in interpolation of exploratory data. Geostatistics Banff 2004 2005, 1017-1025. Springer, Dordrecht, the Netherlands. D. Leuanthong, C.V. Deutsch (Eds.).
    • (2005) Geostatistics Banff 2004 , pp. 1017-1025
    • Cheng, Q.1
  • 16
    • 79955492470 scopus 로고    scopus 로고
    • Non-linear theory and power-law models for information integration and mineral resources quantitative assessments
    • Springer, Heidelberg, G. Bonham-Carter, Q. Cheng (Eds.)
    • Cheng Q. Non-linear theory and power-law models for information integration and mineral resources quantitative assessments. Progress in Geomathematics 2008, 195-225. Springer, Heidelberg. G. Bonham-Carter, Q. Cheng (Eds.).
    • (2008) Progress in Geomathematics , pp. 195-225
    • Cheng, Q.1
  • 17
    • 84855765186 scopus 로고    scopus 로고
    • Multiplicative cascade processes and information integration for predictive mapping
    • Cheng Q. Multiplicative cascade processes and information integration for predictive mapping. Nonlin. Proc. Geophys. 2012, 19:1-12.
    • (2012) Nonlin. Proc. Geophys. , vol.19 , pp. 1-12
    • Cheng, Q.1
  • 18
    • 0029756261 scopus 로고    scopus 로고
    • Multifractal modelling and spatial statistics
    • Cheng Q., Agterberg F.P. Multifractal modelling and spatial statistics. Mathematical Geology 1996, 28:1-16.
    • (1996) Mathematical Geology , vol.28 , pp. 1-16
    • Cheng, Q.1    Agterberg, F.P.2
  • 19
    • 58349095340 scopus 로고    scopus 로고
    • Singularity analysis of ore-mineral and toxic trace elements in stream sediments
    • Cheng Q., Agterberg F.P. Singularity analysis of ore-mineral and toxic trace elements in stream sediments. Computers & Geosciences 2009, 35:234-244.
    • (2009) Computers & Geosciences , vol.35 , pp. 234-244
    • Cheng, Q.1    Agterberg, F.P.2
  • 22
    • 0041641198 scopus 로고
    • Statistics of ore distribution, part I
    • De Wijs H.J. Statistics of ore distribution, part I. Geologie en Mijnbouw 1951, 13:365-375.
    • (1951) Geologie en Mijnbouw , vol.13 , pp. 365-375
    • De Wijs, H.J.1
  • 23
    • 0002554107 scopus 로고
    • Multifractal measures. Appendix B
    • Springer, New York, H.-O. Peitgen, H. Jürgens, D. Saupe (Eds.)
    • Evertsz C.J.G., Mandelbrot B.B. Multifractal measures. Appendix B. Chaos and Fractals 1992, 921-953. Springer, New York. H.-O. Peitgen, H. Jürgens, D. Saupe (Eds.).
    • (1992) Chaos and Fractals , pp. 921-953
    • Evertsz, C.J.G.1    Mandelbrot, B.B.2
  • 24
    • 0003840368 scopus 로고    scopus 로고
    • Wiley, Chichester
    • Falconer K. Fractal Geometry 2003, 337. Wiley, Chichester. Second Edition.
    • (2003) Fractal Geometry , pp. 337
    • Falconer, K.1
  • 25
    • 0003586464 scopus 로고
    • Plenum, New York
    • Feder J. Fractals 1988, 283. Plenum, New York.
    • (1988) Fractals , pp. 283
    • Feder, J.1
  • 26
    • 59649086127 scopus 로고    scopus 로고
    • An expanded de Wijs model for multifractal analysis of mineral production data
    • Ford A., Blenkinsop T.G. An expanded de Wijs model for multifractal analysis of mineral production data. Mineralium Deposita 2009, 44(2):233-240.
    • (2009) Mineralium Deposita , vol.44 , Issue.2 , pp. 233-240
    • Ford, A.1    Blenkinsop, T.G.2
  • 28
    • 0004798733 scopus 로고
    • A study of gold and uranium distribution patterns in the Klerksdorp goldfield
    • Krige D.G. A study of gold and uranium distribution patterns in the Klerksdorp goldfield. Geoexploration 1966, 4:43-53.
    • (1966) Geoexploration , vol.4 , pp. 43-53
    • Krige, D.G.1
  • 29
    • 0001844589 scopus 로고
    • Lognormal de-Wijsian Geostatistics for Ore Evaluation
    • South African Institute Mining Metall. Monograph Series
    • Krige D.G. Lognormal de-Wijsian Geostatistics for Ore Evaluation. Geostatistics 1978, 1.
    • (1978) Geostatistics , pp. 1
    • Krige, D.G.1
  • 30
    • 34547668397 scopus 로고    scopus 로고
    • Scaling and multifractal fields in the solid earth and topography
    • Lovejoy S., Schertzer D. Scaling and multifractal fields in the solid earth and topography. Nonlinear Processes in Geophysics 2007, 14:465-502.
    • (2007) Nonlinear Processes in Geophysics , vol.14 , pp. 465-502
    • Lovejoy, S.1    Schertzer, D.2
  • 31
    • 84867402848 scopus 로고    scopus 로고
    • Anisotropic scaling models of rock density and the Earth's surface gravity field
    • Springer, Heidelberg, G. Bonham-Carter, Q. Cheng (Eds.)
    • Lovejoy S., Gaonac'h H., Schertzer D. Anisotropic scaling models of rock density and the Earth's surface gravity field. Progress in Geomathematics 2008, 151-193. Springer, Heidelberg. G. Bonham-Carter, Q. Cheng (Eds.).
    • (2008) Progress in Geomathematics , pp. 151-193
    • Lovejoy, S.1    Gaonac'h, H.2    Schertzer, D.3
  • 33
    • 34547692085 scopus 로고
    • The statistics of natural resources and the law of Pareto
    • Plenum, New York, C.C. Barton, P.R. La Pointe (Eds.)
    • Mandelbrot B.B. The statistics of natural resources and the law of Pareto. Fractals in petroleum geology and the earth sciences 1995, 1-12. Plenum, New York. C.C. Barton, P.R. La Pointe (Eds.).
    • (1995) Fractals in petroleum geology and the earth sciences , pp. 1-12
    • Mandelbrot, B.B.1
  • 36
    • 0003279538 scopus 로고
    • The theory of regionalized variables and its applications, Cah
    • Matheron G. The theory of regionalized variables and its applications, Cah. Center of Mathematical Morphology 1971, 5:211.
    • (1971) Center of Mathematical Morphology , vol.5 , pp. 211
    • Matheron, G.1
  • 37
    • 22144464004 scopus 로고
    • Les functions de transfert des petits panneaux
    • Ecole des Mines, Fontainebleau, France.
    • Matheron G. Les functions de transfert des petits panneaux. Note Géostatistique No. 127 1974, 73. Ecole des Mines, Fontainebleau, France.
    • (1974) Note Géostatistique No. 127 , pp. 73
    • Matheron, G.1
  • 38
    • 84867404431 scopus 로고
    • Models isofactoriels pour l'effet zero, Note Géostatistique No. 159, Fontainebleau, France, 33.
    • Matheron, G., 1980. Models isofactoriels pour l'effet zero, Note Géostatistique No. 159, Fontainebleau, France, 33.
    • (1980)
    • Matheron, G.1
  • 39
    • 84867396918 scopus 로고
    • Estimating and Choosing, an Essay on Probability in Practice, Translated by A.M. Hasofer. Springer, Heidelberg
    • Matheron, G., 1989. Estimating and Choosing, an Essay on Probability in Practice, Translated by A.M. Hasofer. Springer, Heidelberg, 140.
    • (1989) , vol.140
    • Matheron, G.1
  • 41
    • 44949207295 scopus 로고    scopus 로고
    • Are fractal dimensions of the spatial distribution of mineral deposits meaningful?
    • Raines G.L. Are fractal dimensions of the spatial distribution of mineral deposits meaningful?. Natural Resources Research 2008, 17:87-97.
    • (2008) Natural Resources Research , vol.17 , pp. 87-97
    • Raines, G.L.1
  • 42
    • 0021902685 scopus 로고
    • The dimension and intermittency of atmospheric dynamics. Multifractal cascade dynamics and turbulence intermittency
    • Springer, New York, B. Launder (Ed.)
    • Schertzer D., Lovejoy S. The dimension and intermittency of atmospheric dynamics. Multifractal cascade dynamics and turbulence intermittency. Turbulent Shear Flow 4 1985, 7-33. Springer, New York. B. Launder (Ed.).
    • (1985) Turbulent Shear Flow 4 , pp. 7-33
    • Schertzer, D.1    Lovejoy, S.2
  • 43
    • 85040889149 scopus 로고
    • Kluwer, Dordrecht, D. Schertzer, S. Lovejoy (Eds.)
    • Non-Linear Variability in Geophysics 1991, 318. Kluwer, Dordrecht. D. Schertzer, S. Lovejoy (Eds.).
    • (1991) Non-Linear Variability in Geophysics , pp. 318
  • 45
    • 33748455620 scopus 로고
    • Multifractal phenomena in physics and chemistry
    • Stanley H.E., Meakin P. Multifractal phenomena in physics and chemistry. Nature 1988, 335(6189):405-409.
    • (1988) Nature , vol.335 , Issue.6189 , pp. 405-409
    • Stanley, H.E.1    Meakin, P.2
  • 47
    • 27744522585 scopus 로고    scopus 로고
    • Marginal distribution of stationary cascades: exact distribution and approximations
    • Veneziano D., Langousis A. Marginal distribution of stationary cascades: exact distribution and approximations. Fractals 2005, 13(4):311-324.
    • (2005) Fractals , vol.13 , Issue.4 , pp. 311-324
    • Veneziano, D.1    Langousis, A.2
  • 48
    • 19244373103 scopus 로고
    • A stochastic model for the crystallization and textural analysis of a fine-grained stock near Meech Lake, Gatineau Park, Quebec
    • Vistelius A.B., Agterberg F.P., Divi S.R., Hogarth D.D. A stochastic model for the crystallization and textural analysis of a fine-grained stock near Meech Lake, Gatineau Park, Quebec. Geol. Surv. Canada, Paper 81-2 1983, 62.
    • (1983) Geol. Surv. Canada, Paper 81-2 , pp. 62
    • Vistelius, A.B.1    Agterberg, F.P.2    Divi, S.R.3    Hogarth, D.D.4
  • 49
    • 34248512407 scopus 로고    scopus 로고
    • Fractal modeling of the microstructure property of quartz mylonite during deformation processes
    • Wang Z., Cheng Q., Cao L. Fractal modeling of the microstructure property of quartz mylonite during deformation processes. Mathematical Geology 2006, 39:53-68.
    • (2006) Mathematical Geology , vol.39 , pp. 53-68
    • Wang, Z.1    Cheng, Q.2    Cao, L.3
  • 51
    • 34250880801 scopus 로고    scopus 로고
    • Application of local singularity in prospecting potential oil/gas targets
    • Xie S., Cheng Q., Chen Z., Bao Z. Application of local singularity in prospecting potential oil/gas targets. Nonlinear Processes in Geophysics 2007, 14:285-292.
    • (2007) Nonlinear Processes in Geophysics , vol.14 , pp. 285-292
    • Xie, S.1    Cheng, Q.2    Chen, Z.3    Bao, Z.4
  • 54
    • 64149112336 scopus 로고    scopus 로고
    • Application of singularity mapping technique to identify local anomalies using stream sediment geochemical data, a case study from Gangdese, Tibet, western China
    • Zuo R., Cheng Q., Agterberg F.P., Xia Q. Application of singularity mapping technique to identify local anomalies using stream sediment geochemical data, a case study from Gangdese, Tibet, western China. Journal of Geochemical Exploration 2009, 101:225-235.
    • (2009) Journal of Geochemical Exploration , vol.101 , pp. 225-235
    • Zuo, R.1    Cheng, Q.2    Agterberg, F.P.3    Xia, Q.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.