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    云南个旧期北山七段玄武岩中磁黄铁矿结构变化分形特征

    李增华 成秋明 谢淑云 徐德义 夏庆霖 张生元

    李增华, 成秋明, 谢淑云, 徐德义, 夏庆霖, 张生元, 2009. 云南个旧期北山七段玄武岩中磁黄铁矿结构变化分形特征. 地球科学, 34(2): 275-280.
    引用本文: 李增华, 成秋明, 谢淑云, 徐德义, 夏庆霖, 张生元, 2009. 云南个旧期北山七段玄武岩中磁黄铁矿结构变化分形特征. 地球科学, 34(2): 275-280.
    LI Zeng-hua, CHENG Qiu-ming, XIE Shu-yun, XU De-yi, XIA Qing-lin, ZHANG Sheng-yuan, 2009. Application of P-A Fractal Model for Characterizing Distributions of Pyrrhotites in Seven Layers of Basalts in Gejiu District, Yunnan, China. Earth Science, 34(2): 275-280.
    Citation: LI Zeng-hua, CHENG Qiu-ming, XIE Shu-yun, XU De-yi, XIA Qing-lin, ZHANG Sheng-yuan, 2009. Application of P-A Fractal Model for Characterizing Distributions of Pyrrhotites in Seven Layers of Basalts in Gejiu District, Yunnan, China. Earth Science, 34(2): 275-280.

    云南个旧期北山七段玄武岩中磁黄铁矿结构变化分形特征

    基金项目: 

    国家自然科学基金项目 40502029

    国家自然科学基金项目 40525009

    国家自然科学基金项目 40638041

    国家自然科学基金项目 40872195

    详细信息
      作者简介:

      李增华(1983-)‚硕士‚从事矿产勘查与数学地质学的研究.E-mail: lizenghua@gmail.com

    • 中图分类号: P628

    Application of P-A Fractal Model for Characterizing Distributions of Pyrrhotites in Seven Layers of Basalts in Gejiu District, Yunnan, China

    • 摘要:

      微观尺度上土壤孔隙、岩石孔洞缝、矿物组构的分形与多重分形研究受到广泛关注, 典型的P-A (周长-面积) 分形模型、盒子维数等也广泛应用于其中.云南个旧锡多金属矿床老厂期北山垂向上七段玄武岩发育完整, 但对其形成机理及对成矿的贡献有较多的争议.这七层玄武岩中磁黄铁矿广泛发育.基于GIS的P-A分形模型研究磁黄铁矿颗粒的大小、颗粒的不规则性及空间分布特征, 探讨磁黄铁矿这一标志性矿物在不同层段玄武岩中的变化情况, 并为玄武岩的成因给出新的解释.结合盒子维数, 分形分析结果显示, 从第一段玄武岩到第七段玄武岩磁黄铁矿的面积分维DA和周长分维DP总体保持不变的态势; 而周长-面积分维DPA却有逐渐增大的趋势.DPA增大表明随着深度的增加, 磁黄铁矿颗粒不规则性增强.

       

    • 图  1  GIS技术处理磁黄铁矿的显微图像过程

      a.玄武岩第1段的原始图片; b.等高线图中灰度值为160时圈定的磁黄铁矿颗粒; c.用GIS技术从图a中提取磁黄铁矿颗粒的矢量图; d.图c叠加在图a上的结果, 可看出两者的差别

      Fig.  1.  GIS-based technique for processing micrographs of pyrrhotite grains

      图  2  图 1a中磁黄铁矿颗粒分布的logN(r)-logr关系

      Fig.  2.  logN(r)-logr plot for pyrrhotite grains in Fig. 1a

      图  3  图 1a玄武岩中磁黄铁矿颗粒的周长-面积投影

      Fig.  3.  log-log plot of P-A of pyrrhotite grains in Fig. 1a

      图  4  七段玄武岩DADPDPA投影图

      Fig.  4.  Regression fits of DA, DP, DPA

      表  1  云南个旧期北山七段玄武岩特征

      Table  1.   Properties of seven layers of basalts in Qibeishan of Gejiu district, Yunnan Province

      表  2  各段玄武岩中磁黄铁矿颗粒的计盒维数

      Table  2.   Box-counting dimension of pyrrhotite grains in different basalts

      表  3  七段玄武岩中磁黄铁矿对应的平均分维值

      Table  3.   Different fractal dimensions of pyrrhotite in seven basalts

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    出版历程
    • 收稿日期:  2008-12-15
    • 刊出日期:  2009-03-25

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