Multiplicative cascade processes and information integration for predictive mapping

Nonlinear Processes in Geophysics

Volumn 19, Issue 1, 2012, Pages 57-68

  Cheng, Q ^a,b,c  

^a CHINA UNIVERSITY OF GEOSCIENCES   (China)

^b CHINA UNIVERSITY OF GEOSCIENCES   (China)

^c YORK UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

ENVIRONMENTAL IMPACT ASSESSMENT; FORMATION MECHANISM; LIMESTONE; MINERAL EXPLORATION; MINERAL RESOURCE; ORE DEPOSIT; PREDICTION; PROBABILITY; SPATIAL ANALYSIS; THEORETICAL STUDY; TIN;

CHINA; GEJIU MINE; YUNNAN;

EID: 84855765186     PISSN: 10235809     EISSN: 16077946     Source Type: Journal    
DOI: 10.5194/npg-19-57-2012     Document Type: Article

References (47)

1. Agterberg, F. P.: Computer programs for exploration, Science, 245, 76-81, 1989a.
2. Agterberg, F. P.: Systematic approach to dealing with uncertainty of geoscience information in mineral exploration, in: Application of Computers and Operations in the mineral industry, edited by: Weiss, A., Proc. 21st APCOM Symp., Las Vegas, Nevada, Colorado Society of Mining Engineers, Littleton, 165-178, 1989b.
3. Agterberg, F. P.: Multifractal modeling of the sizes and grades of giant and supergiant deposits, Int. Geol. Review, 37, 1-8, 1995.
4. Agterberg, F. P.: Multifractal simulation of geochemical map patterns, in: Geologic modeling and simulation: Sedimentary Systems, edited by: Merriam, D. F. and Davis, J. C., Kluwer, New York, 327-346, 2001.
5. Agterberg, F. P.: New applications of the model of de Wijs in regional geochemistry, Math. Geol., 39, 1-26, 2007a.
6. Agterberg, F. P.: Mixtures of multiplicative cascade models in geochemistry, Nonlin. Processes Geophys., 14, 201-209, doi:10.5194/npg-14-201- 2007, 2007b. (Pubitemid 46826989)
7. Agterberg, F. P. and Bonham-Carter, G. F.: Deriving weights of evidence from geoscience contour maps for prediction of discrete events, Proc. 22nd APCOM Symp. (Berlin, Germany), Tech. Univ. Berlin, 2, 381-396, 1990.
8. Blenkinsop, T. G.: The Fractal Distribution of Gold Deposits, in: Fractals and Dynamic Systems in Geoscience, edited by: Kruhl, J. H., Springer-Verlag, 247-258, 1994.
9. Bonham-Carter, G. F.: Geographic Information Systems for Geoscientists: Modelling with GIS, Pergamon, Oxford, 398 pp., 1994.
10. Bonham-Carter, G. F., Agterberg, F. P., and Wright, D. F.: Integration of geological data sets for gold exploration in Nova Scotia, Photogr. Eng. Remote Sens., 54, 1585-1592, 1988.
11. Carlson, C. A.: Spatial distribution of ore deposits, Geology, 19, 111-114, 1991.
12. Cheng, Q.: The gliding box method for multifractal modeling, Comput. Geosci., 25, 1073-1079, 1999. (Pubitemid 30102426)
13. Cheng, Q.: Fractal and multifractal modeling of hydrothermal mineral deposit spectrum: Application to gold deposits in the Abitibi Area, Canada. J. China Univ. of Geosci., 14, 199-206, 2003.
14. Cheng, Q.: Multifractal distribution of eigenvalues and eigenvectors from 2-D multiplicative cascade multifractal fields, Math. Geol., 37, 915-927, 2005.
15. Cheng, Q.: Mapping singularities with stream sediment geochemical data for prediction of undiscovered mineral deposits in Gejiu, Yunnan Province, China, Ore Geol. Reviews, 32, 314-324, 2007a. (Pubitemid 47289176)
16. Cheng, Q.: Multifractal imaging filtering and decomposition methods in space, Fourier frequency, and eigen domains, Nonlin. Processes Geophys., 14, 293-303, doi:10.5194/npg-14-293-2007, 2007b. (Pubitemid 46973873)
17. Cheng, Q.: Non-linear theory and power-law models for information integration and mineral resources quantitative assessments, Math. Geosci., 40, 503-532, 2008.
18. Cheng, Q. and Agterberg, F. P.: Multifractal modeling and spatial statistics, Math. Geol., 28, 1-16, 1996.
19. Cheng, Q. and Agterberg, F. P.: Fuzzy weights of evidence method and its application in mineral potential mapping, Nat. Res. Res., 8, 27-35. 1999.
20. Cheng, Q. and Agterberg, F. P.: Singularity analysis of ore-mineral and toxic trace elements in stream sediments, Comput. Geosci., 35, 234-244, 2009.
21. Cheng, Q., Bonham Carter, G. F., Agterberg, F. P., and Wright, D. F.: Fractal modeling in the geosciences and implementation with GIS, in: Proc of the 6th Canadian Conference on GIS, Ottawa, June 6, 10, 1, 565-577, 1994a.
22. Cheng, Q., Agterberg, F. P., and Ballantyne, S. B.: The separation of geochemical anomalies from background by fractal methods, J. Explor. Geochem., 51, 109-130, 1994b.
23. Cheng, Q., Zhao, P., Zhang, S., Xia, Q., Chen, Z., Chen, J., Xu, D., and Wang, W.: Application of singularity in mineral deposit prediction in Gejiu district: Information integration and delineation of target areas, Earth Science, 34, 243-252, 2009 (in Chinese with English abstract).
24. de Wijs, H. J.: Statistics of ore distribution, part I, Geologie Mijnbouw, 13, 365-375, 1951.
25. Feder, J.: Fractals, Plenum Press, New York, 283 pp., 1988.
26. Ford, A. and Blenkinsop, T. G.: An expanded de Wijs model for multifractal analysis of mineral production data, Mineral Deposita, 44, 233-240, 2009.
27. Frisch, U., Sulem, P. L., and Nelkin, M.: A simple dynamical model of intermittency in fully develop turbulence, J. Fluid Mech., 87, 719-724, 1978.
28. Halsey, T. C., Jensen, M. H., Kadanoff, L. P., Procaccia, I., and Shraiman, B.: Fractal measures and their singularities: The characterization of strange sets, Phys. Rev. A, 33, 1141-1151, 1986.
29. Hronsky, J. M. A: Self-organized systems and ore formation: The key to spatially-predictive targeting?, Proceedings of the Tenth Biennial SGA Meeting, Townsville 2009, 19-21, 2009.
30. Lovejoy, S. and Schertzer, D.: Scaling and multifractal fields in the solid earth and topography, Nonlin. Processes Geophys., 14, 465-502, doi:10.5194/npg-14-465-2007, 2007. (Pubitemid 47210293)
31. Malamud, B. D., Turcotte, D. L., and Barton, C. C.: The 1993 Mississippi river flood: A one hundred or a one thousand year event?, Environ. Eng. Geosci., II, 479-486, 1996.
32. Malamud, B. D., Turcotte, D. L., Guzzetti, F., and Reichenbach, P.: Landslide inventories and their statistical properties, Earth Surf. Proc. Land., 29, 687-711, 2004. (Pubitemid 38861350)
33. Mandelbrot, B. B.: Multifractal measures, especially for the geophysicist, Pure Appl. Geophys., 131, 5-42, 1989.
34. Meneveau, C. and Sreenivasan, K. R.: Simple multifractal cascade model for fully developed turbulence, Phys. Rev. Lett., 59, 1424-1427, 1987.
35. Qing, D., Tan, S., and Fan, Z.: Geotectonic evolution and tinpolymetallic metallogenesis in Gejiu-Dachang area, J. Mineral., 24, 118-123, 2004 (in Chinese with English Abstract).
36. Raines, G: Are fractal dimensions of the spatial distribution of mineral deposits meaningful?, Nat. Resour. Res., 17, 87-97, 2008.
37. Schertzer, D. and Lovejoy, S.: Turbulence and chaotic phenomena in fluids, edited by: Tatsumi, T., North-Holland, 505-508, 1984.
38. Schertzer, D. and Lovejoy, S.: The dimension and intermittency of atmospheric dynamics -Multifractal cascade dynamics and turbulent intermittency, in: Turbulent Shear Flow, edited by: Launder, B., Springer-Verlag, New York, 7-33, 1985.
39. Schertzer, D. and Lovejoy, S.: Physical modeling and analysis of rain and clouds by anisotropic scaling of multiplicative processes, J. Geophys. Res., 92, 9693-9714, 1987.
40. Schertzer, D., Lovejoy, S., Schmitt, F., Chigirinskaya, Y., and Marsan, D.: Multifractal cascade dynamics and turbulent intermittency, Fractals, 5, 427-471, 1997. (Pubitemid 127527015)
41. Sornette, D.: Critical Phenomena in Natural Sciences: Chaos, Fractals, Selforganization and Disorder, 2nd Edn., Springer, New York, 2004.
42. Turcotte, D. L.: Fractals and Chaos in Geology and Geophysics, 2nd Edn., Cambridge University Press, 1997.
43. Turcotte, D. L.: Fractals in petrology, Lithos, 65, 261-271, 2002. (Pubitemid 35374972)
44. Veneziano, D.: Multifractality of rainfall and scaling of intensityduration-frequency curves, Water Resour. Res., 38, 1-12, 2002.
45. Xie, S., Cheng, Q., Chen, G., Chen, Z., and Bao, Z.: Application of local singularity in prospecting potential oil/gas Targets, Nonlin. Processes Geophys., 14, 285-292, doi:10.5194/npg-14-285-2007, 2007. (Pubitemid 46973874)
46. Yaglom, A. M.: The influence of the fluctuation in energy dissipation on the shape of turbulent characteristics in the inertial interval, Sov. Phys. Dokl. (Engl. Transl), 2, 26-30, 1966.
47. Yu, C., Tang, Y., and Shi, P.: Dynamic system of Gejiu polymetallic mineralization processes, China University of Geosciences Press, Wuhan, 394 pp., 1988 (in Chinese with English Abstract).