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

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^{1, 2,},
成秋明^{2, 3},
谢淑云^{2, 3, 4},
徐德义^{2, 3, 5},
夏庆霖²,
张生元⁶

1.
天津华北地质勘查局, 天津 300181
2.
中国地质大学地质过程与矿产资源国家重点实验室, 湖北武汉 430074
3.
加拿大约克大学地球空间科学与工程系, 加拿大多伦多 M3J1P3
4.
中国地质大学地球科学学院, 湖北武汉 430074
5.
中国地质大学经济管理学院, 湖北武汉 430074
6.
石家庄经济学院资源与环境工程研究所, 河北石家庄 050031

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

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

LI Zeng-hua^{1, 2
,},
CHENG Qiu-ming^{2, 3},
XIE Shu-yun^{2, 3, 4},
XU De-yi^{2, 3, 5},
XIA Qing-lin²,
ZHANG Sheng-yuan⁶

1.
North China Geological Exploration Bureau, Tianjin 300181, China
2.
State Key Laboratory of Geological Processes and Mineral Resources, China University of Geosciences, Wuhan 430074, China
3.
Department of Earth and Space Science and Engineering, York University, Toronto M3J1P3, Canada
4.
Faculty of Earth Sciences, China University of Geosciences, Wuhan 430074, China
5.
Faculty of Economics and Management, China University of Geosciences, Wuhan 430074, China
6.
Institute of Natural Resources and Environment Engineering, Shijiazhuang University of Economics, Shijiazhuang 050031, China

摘要

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D_A和周长分维D_P总体保持不变的态势; 而周长-面积分维D_PA却有逐渐增大的趋势.D_PA增大表明随着深度的增加, 磁黄铁矿颗粒不规则性增强.
- 分形模型 /
- 微构造 /
- 玄武岩
Abstract:
The study on micro-pores of soils, pore-fracture-holes of sedimentary rocks and microstructures of minerals at different scales has attracted more and more attention.Typical fractal models, including P-A and box-counting methods, have also been used for such kind of studies.Basalts from seven sections in Laochang deposit, Yunnan Province, are well developed, but their forming processes and their contributions to deposits of Sn and other metals are still in issue.Based on the GIS-based P-A and box-counting fractal models, this paper focuses on the size distribution and irregularity analysis of pyrrhotites of the basalts.Three parameters D_A (fractal dimension of area), D_PA (fractal dimension of area and perimeter) and D_P (fractal dimension of perimeter) of pyrrhotite are calculated.The results show that, from the first-section basalt to the seventh-section basalt, with the depth of rock body increasing, the values of D_A and D_P change a little, but the value of D_PA shows an increasing trend.This indicates that the shapes of pyrrhotites become more and more irregular as the depth increases, probably due to the increase of temperature and pressure.
- fractal model /
- micro-texture /
- basalt

HTML全文

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

下载: 全尺寸图片幻灯片

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

下载: 全尺寸图片幻灯片

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

下载: 全尺寸图片幻灯片

图 4 七段玄武岩D_A、D_P、D_PA投影图

Fig. 4. Regression fits of D_A, D_P, D_PA

下载: 全尺寸图片幻灯片

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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