Assessing microstructures of ore-minerals by multifractal

Diqiu Kexue - Zhongguo Dizhi Daxue Xuebao/Earth Science - Journal of China University of Geosciences

Volumn 34, Issue 2, 2009, Pages 263-269

  Xie, Shu Yun ^a,b   Cheng, Qiu Ming ^a,b   Li, Zeng Hua ^a   Xing, Xi Tao ^a,b   Chen, Shou Yu ^a  

^a CHINA UNIVERSITY OF GEOSCIENCES   (China)

^b YORK UNIVERSITY   (Canada)

Author keywords

Fractal dimension; Microstructure of mineral; Multifractal

Indexed keywords

BOX-COUNTING DIMENSIONS; CONTACT ZONES; DIFFERENT SCALE; DISTRIBUTION PATTERNS; ENGINEERING FIELDS; MATLAB PLATFORMS; MICRO-SCALES; MULTI-FRACTAL DIMENSIONS; MULTIFRACTAL; MULTIFRACTAL PARAMETERS; MULTIFRACTAL SPECTRUM; ORE-FORMING; QUANTITATIVE ASSESSMENTS; SPATIAL HETEROGENEITIES; SPATIAL STRUCTURES; THIN SECTIONS;

INITIATORS (CHEMICAL); MATLAB; MICROSTRUCTURE; MINERALS; ORES; PARTIAL DISCHARGES; PYRITES; SILICA; SILICATE MINERALS;

FRACTAL DIMENSION;

EID: 63049123181     PISSN: 10002383     EISSN: None     Source Type: Journal    
DOI: 10.3799/dqkx.2009.025     Document Type: Article

References (37)

1. Allegre, C. J., Lewin, E., 1995. Scaling laws and geochemical distribution. Earth Planet. Sci. Letters, 132 (1-4): 1-13.
2. Blenkinsop, T. G., 1994. The fractal distribution of gold deposits: Two examples from the Zimbabwe Archaean craton. In: Kruhl, J. H., ed., Fractals and dynamic systems in geosciences. Springer, Berlin, 247-258.
3. Carlson, C. A., 1991. Spatial distribution of ore deposits. Geology, 19 (2): 111-114.
4. Chen, Y. Q., Zhang, S. Y., Xia, Q. L., et al., 2006. Application of multi-fractal filtering to extraction of geochemical anomalies from multi-geochemical backgrounds: A case study of the southern section of "Sanjiang ore-forming zone", southwestern China. Earth Science-Journal of China University of Geosciences, 31 (6): 861-866 (in Chinese with English abstract).
5. Chen, Z. J., 2007. Multifractal theory based local singularity analysis method and its application in spatial information extraction for mineral exploration (Dissertation). China University of Geosciences, Wuhan (in Chinese with English abstract).
6. Cheng, Q. M., 2005. Multiplicative cascade mineralization processes and singular distribution of mineral deposit associated geochemical anomalies. Proceedings of IAMG'05: GIS and spatial analysis. China University of Geosciences Press, Wuhan, 297-302.
7. Cheng, Q. M., 2007. Mapping singularities with stream sediment geochemical data for prediction of undiscovered mineral deposits in Gejiu, Yunnan Province, China. Ore Geology Reviews, 32 (1-2): 314-324.
8. Cheng, Q. M., Agterberg, F. P., Ballantyne, S. B., 1994. The separation of geochemical anomalies from background by fractal methods. Journal of Geochemical Exploration, 51 (2): 109-130.
9. Cheng, Q. M., Agterberg, F. P., Bonham-Carter, G. F., 1996. A spatial analysis method for geochemical anomaly separation. Journal of Geochemical Exploration, 56 (3): 183-195.
10. Evertsz, C. J. G., Mandelbrot, B. B., 1992. Multifractal measures (Appendix B). In: Peitgen, H. O., Jurgens, H., Saupe, D., eds., Chaos and fractals. Springer Verlag, New York, 922-953.
11. Gulbin, Y. L., Evangulova, E. B., 2003. Morphometry of quartz aggregates in granites: Fractal images reference to nucleation and growth processes. Mathematical Geology, 35 (7): 819-833.
12. Guo, K., Shi, Z. J., Tang, J. X., et al., 2004. Study chemical elements'intergrowth combination with multi-fractals. Journal of University of Electronic Science and Technology of China, 33 (2): 221-224 (in Chinese with English abstract).
13. Katz, A. J., Thompson, A. H., 1985. Fractal sandstone pore: Implication for conductivity and pore formation. Phy. Rev. Lett., 54 (12): 1325-1328.
14. Lovejoy, S., 1982. Area-perimeter relation for rain and cloud areas. Science, 216 (4542): 185-187.
15. Lu, Q., Liu, H. F., 2001. Fraction-dimensional time-spatial structure of multi-metallic deposit in Shizhuyuan: Mineralized Sn and other elements in garnet as an example. Earth Science-Journal of China University of Geosciences, 26 (2): 123-128 (in Chinese with English abstract).
16. Mandelbrot, B. B., 1977. Fractals: Form, chance and dimension. W. H. Freeman, San Francisco.
17. Muller, J., McCauley, J. L., 1992. Implication of fractal geometry for fluid flow properties of sedimentary rocks. Transp. Porous Media, 8: 133-147.
18. Peng, S. L., Ouyang, H., Wang, L., et al., 2006. Mechanism of multi-genetic and compound metallogenesis of Sn-Cu polymetallic deposits in the Gejiu ore district. Mineral Deposits, 25 (Suppl.): 363-366 (in Chinese with English abstract).
19. Shen, W., 2005. n-dimentional self-affine fractal and its application in geochemistry. Geological Review, 51 (2): 208-211 (in Chinese with English abstract).
20. Shen, W., Zhao, P. D., 2002. Multidimensional self-affine distribution with application in geochemistry. Mathematical Geology, 34 (2): 109-123.
21. Tan, K. X., Liu, S. S., Xie, Y. S., 2000. Multifractal analysis of ore deposits distribution in Alty Xinjiang, China. Geotectonica et Metallogenia, 24 (4): 333-341 (in Chinese with English abstract).
22. Turcotte, D. L., 1992. Fractals and chaos in geology and geophysics. Cambridge University Press.
23. Turcotte, D. L., 2002. Fractals in petrology (in non-linear and chaotic dynamics in igneous petrology). Lithos, 65 (3-4): 261-271.
24. Vidal, V. E., García, M. R., Miranda, J. G. V., et al., 2008. Assessing soil surface roughness decay during simulated rainfall by multifractal analysis. Nonlinear Processes in Geophysics, 15 (3): 457-468.
25. Vistelius, A. B., 1960. The skew frequency distributions and the fundamental law of the geochemical processes. Journal Geology, 68 (1): 1-22.
26. Vistelius, A. B., 1987. Ideal granites and models of their metasomatic transformations: Theory, experience, and current problems. Mathematical Geology, 19 (7): 589-612.
27. Wang, Z. J., 2008. GIS-based fractal/multifractal modeling of texture in mylonites and banded sphalerite ores: [Dissertation]. York University, Toronto, Canada, 288.
28. Wang, Z. J., Cheng, Q. M., 2006. Characterization of micro-texture of quartz myionite deformation process using fractal P-A model. Earth Science-Journal of China University of Geosciences, 31 (3): 361-365 (in Chinese with English abstract).
29. Wang, Z. J., Cheng, Q. M., Xia, Q. L., 2005. The P-A fractal model characterizing microstructure of minerals. Proceedings of IAMG'05: GIS and spatial analysis. China University of Geosciences, Wuhan, 317-322.
30. Wang, Z. J., Cheng, Q. M., Xu, D. Y., et al., 2008. Fractal modeling of sphalerite banding in Jinding Pb-Zn deposit, Yunnan, southwestern China. Journal of China University of Geosciences, 19 (1): 77-84.
31. Xie, S., Bao, Z., 2004. Fractal and multifractal properties of geochemical fields. Mathematical Geology, 36 (7): 847-864.
32. Xie, X. J., Yin, B. C., 1993. Geochemical patterns from local to global. Exploration Geochemical, 47 (1-3): 109-130.
33. Xu, D. Y., Cheng, Q. M., Wang, Z. J., 2007. CNN modeling for the periodic banding texture of sphalerite. Proceedings of the IAMG'07: Geomathematics and GIS analysis of resources, environment and hazards. China University of Geosciences Press, Wuhan, 224-226.
34. Xu, D. Y., Cheng, Q. M., Wang, Z. J., 2009. Simulation of Liesegang band in sphalerite in MVT deposits. Earth Science-Journal of China University of Geosciences, 34 (2): 253-257 (in Chinese with English abstract).
35. Xu, D. Y., Ke, X. Z., Xie, S. Y., et al., 2008. Scaling properties of feldspar and quartz in micro-images of ideal granites. Journal of China University of Geosciences, 19 (4): 327-333.
36. Yu, C. W., 2003. Complexity in geologic system. Science Press, Beijing, 1135 (in Chinese).
37. Zhang, Z., Mao, H., Cheng, Q. M., 2001. Fractal geometry of element distribution on mineral surfaces. Mathematical Geology, 33 (2): 217-228.