• 中国出版政府奖提名奖

    中国百强科技报刊

    湖北出版政府奖

    中国高校百佳科技期刊

    中国最美期刊

    Volume 34 Issue 2
    Mar.  2009
    Turn off MathJax
    Article Contents
    XIE Shu-yun, CHENG Qiu-ming, LI Zeng-hua, XING Xi-tao, CHEN Shou-yu, 2009. Assessing Microstructures of Ore-Minerals by Multifractal. Earth Science, 34(2): 263-269.
    Citation: XIE Shu-yun, CHENG Qiu-ming, LI Zeng-hua, XING Xi-tao, CHEN Shou-yu, 2009. Assessing Microstructures of Ore-Minerals by Multifractal. Earth Science, 34(2): 263-269.

    Assessing Microstructures of Ore-Minerals by Multifractal

    • Received Date: 2008-11-15
    • Publish Date: 2009-03-25
    • Fractal and multifractal concepts have been increasingly applied in various scientific and engineering fields.The distribution patterns of different objects at different scales have attracted more and more attention as well.This paper focuses on the investigation of the spatial heterogeneity of ore-forming minerals at micro-scales.Two ore-bearing skarn samples have been selected and the corresponding light-thin sections have also been prepared.The first sample, taken from the external contact zone between the skarn and the granite, is the blackish green ore-bearing skarn, and the second is the skarn-type ore sample which was taken from the skarn contact zone.Through MATLAB platform, the pyrites have been digitally recognized from the microphotographying images of the thin sections.The box-counting dimensions, generalized fractal dimensions and multifractal spectra have been calculated to characterize the spatial structure of the pyrites.The corresponding fractal and multifractal dimensions of the first sample are relatively lower, whereas those of the second sample are higher.The results show that there is a coressponding relationship between the multifractal parameters and the ore-forming potentials of the rocks under consideration, which can provide new indication for the quantitative assessment of ore-bearing potentials of rocks.

       

    • loading
    • Allegre, C. J., Lewin, E., 1995. Scaling laws and geochemical distribution. Earth Planet. Sci. Letters, 132 (1-4): 1-13. doi: 10.1016/0012-821X(95)00049-I
      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 systemsin geosciences. Springer, Berlin, 247-258.
      Carlson, C. A., 1991. Spatial distribution of ore deposits. Geology, 19 (2): 111-114. doi: 10.1130/0091-7613(1991)019<0111:SDOOD>2.3.CO;2
      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).
      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).
      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.
      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. doi: 10.1016/j.oregeorev.2006.10.002
      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. doi: 10.1016/0375-6742(94)90013-2
      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. doi: 10.1016/S0375-6742(96)00035-0
      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.
      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. doi: 10.1023/B:MATG.0000007781.90498.5e
      Guo, K., Shi, Z. J., Tang, J. X., et al., 2004. Study chemical elements' inter growth combination with multi-fractals. Journal of University of Electronic Science and Technology of China, 33 (2): 221-224 (in Chinese with English abstract).
      Katz, A. J., Thompson, A. H., 1985. Fractal sandstone pore: Implication for conductivity and pore formation. Phy. Rev. Lett. , 54 (12): 1325-1328. doi: 10.1103/PhysRevLett.54.1325
      Lovejoy, S., 1982. Area-perimeter relation for rain and cloud areas. Science, 216 (4542): 185-187. doi: 10.1126/science.216.4542.185
      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).
      Mandelbrot, B. B., 1977. Fractals: Form, chance and dimension. W. H. Freeman, San Francisco.
      Muller, J., McCauley, J. L., 1992. Implication of fractal geometry for fluid flow properties of sedimentary rocks. Transp. Porous Media, 8: 133-147. doi: 10.1007/BF00617114
      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).
      Shen, W., 2005. n-dimentional self-affine fractal and its application in geochemistry. Geological Review, 51 (2): 208-211 (in Chinese with English abstract).
      Shen, W., Zhao, P. D., 2002. Multidimensional self-affine distribution with application in geochemistry. Mathematical Geology, 34 (2): 109-123. doi: 10.1023/A:1014489800680
      Tan, K. X., Liu, S. S., Xie, Y. S., 2000. Multifractal analysis of ore deposits distribution in Alty Xinjiang, China. Geotectonicaet Metallogenia, 24 (4): 333-341 (in Chinese with English abstract).
      Turcotte, D. L., 1992. Fractals and chaos in geology and geophysics. Cambridge University Press.
      Turcotte, D. L., 2002. Fractals in petrology (in non-linear and chaotic dynamics in igneous petrology). Lithos, 65 (3-4): 261-271. doi: 10.1016/S0024-4937(02)00194-9
      Vidal, V. E., Garca, 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. doi: 10.5194/npg-15-457-2008
      Vistelius, A. B., 1960. The skew frequency distributions and the fundamental law of the geochemical processes. Journal Geology, 68 (1): 1-22. doi: 10.1086/626634
      Vistelius, A. B., 1987. Ideal granites and models of their metasomatic transformations: Theory, experience, and current problems. Mathematical Geology, 19 (7): 589-612. doi: 10.1007/BF00897571
      Wang, Z. J., 2008. GIS-based fractal/multifractal modeling of texture in mylonites and banded sphalerite ores: [Dissertation]. York University, Toronto, Canada, 288.
      Wang, Z. J., Cheng, Q. M., 2006. Characterization of microtexture 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).
      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.
      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. doi: 10.1016/S1002-0705(08)60027-8
      Xie, S., Bao, Z., 2004. Fractal and multifractal properties of geochemical fields. Mathematical Geology, 36 (7): 847-864. doi: 10.1023/B:MATG.0000041182.70233.47
      Xie, X. J., Yin, B. C., 1993. Geochemical patterns from local to global. Exploration Geochemical, 47 (1-3): 109-130. doi: 10.1016/0375-6742(93)90061-P
      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.
      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). doi: 10.3799/dqkx.2009.023
      Xu, D. Y., Ke, X. Z., Xie, S. Y., et al., 2008. Scaling properties of feldspar and quartzin micro-images of ideal granites. Journal of China University of Geosciences, 19 (4): 327-333. doi: 10.1016/S1002-0705(08)60065-5
      Yu, C. W., 2003. Complexity in geologic system. Science Press, Beijing, 1135 (in Chinese).
      Zhang, Z., Mao, H., Cheng, Q. M., 2001. Fractal geometry of element distribution on mineral surfaces. Mathematical Geology, 33 (2): 217-228. doi: 10.1023/A:1007587318807
      陈永清, 张生元, 夏庆霖, 等, 2006. 应用多重分形滤波技术提取致矿地球化学异常: 以西南"三江"南段Cu、Zn致矿异常提取为例. 地球科学——中国地质大学学报, 31 (6): 861-866. https://www.cnki.com.cn/Article/CJFDTOTAL-DQKX200606016.htm
      陈志军, 2007. 多重分形局部奇异性分析方法及其在矿产资源信息提取中的应用(博士学位论文). 武汉: 中国地质大学.
      郭科, 施泽进, 唐菊兴, 等, 2004. 用多重分形研究元素的共生组合. 电子科技大学学报, 33 (2): 221-224. doi: 10.3969/j.issn.1001-0548.2004.02.028
      陆琦, 刘慧芳, 2001. 柿竹园多金属矿床的分形时-空结构: 以矽卡岩矿物中Sn等成矿元素分布特征为例. 地球科学——中国地质大学学报, 26 (2): 123-128. https://www.cnki.com.cn/Article/CJFDTOTAL-DQKX200102004.htm
      彭省临, 欧阳恒, 王力, 等, 2006. 个旧矿集区锡铜多金属多因复成成矿机制. 矿床地质, 25 (增刊): 363-366. https://www.cnki.com.cn/Article/CJFDTOTAL-KCDZ2006S1097.htm
      申维, 2005. n维自仿射分形及其在地球化学中的应用. 地质论评, 51 (2): 208-211. doi: 10.3321/j.issn:0371-5736.2005.02.015
      谭凯旋, 刘顺生, 谢焱石, 2000. 新疆阿尔泰地区矿床分布的多重分形分析. 大地构造与成矿学, 24 (4): 333-341. doi: 10.3969/j.issn.1001-1552.2000.04.006
      王志敬, 成秋明, 2006. P-A分形模型定量度量糜棱岩变形过程中石英微结构的变化. 地球科学——中国地质大学学报, 31 (3): 361-365. https://www.cnki.com.cn/Article/CJFDTOTAL-DQKX200603011.htm
      徐德义, 成秋明, 王志敬, 2009. MVT型矿床中闪锌矿结晶的Liesegang环带模拟. 地球科学——中国地质大学学报, 34 (2): 253-257. https://www.cnki.com.cn/Article/CJFDTOTAL-DQKX200902003.htm
      於崇文, 2003. 地质系统的复杂性. 北京: 科学出版社, 1135.
    • 加载中

    Catalog

      通讯作者: 陈斌, bchen63@163.com
      • 1. 

        沈阳化工大学材料科学与工程学院 沈阳 110142

      1. 本站搜索
      2. 百度学术搜索
      3. 万方数据库搜索
      4. CNKI搜索

      Figures(5)  / Tables(1)

      Article views (4237) PDF downloads(86) Cited by()
      Proportional views

      /

      DownLoad:  Full-Size Img  PowerPoint
      Return
      Return