基于“元素含量—面积”模型方法的地球化学场的多重分形模式分析

doi:10.11867/j.issn.1001-8166.2007.06.0598

地球科学进展 ›› 2007, Vol. 22 ›› Issue (6): 598 -604. doi: 10.11867/j.issn.1001-8166.2007.06.0598

文战久 ^1，2，高星 ³，姚振兴 ¹

1．中国科学院地质与地球物理研究所，北京 100029；2.核工业216大队，新疆乌鲁木齐 830011；3.中国科学院青藏高原研究所，北京 100085

收稿日期:2007-01-25 修回日期:2007-05-08 出版日期:2007-06-10
通讯作者: 文战久（1971-）,男，湖南醴陵人，硕士研究生,主要从事矿产资源预测方面的研究.E-mail:wzjwykgyl@sohu.com E-mail:wzjwykgyl@sohu.com
基金资助:
国家自然科学基金项目“基于小波变换的多重分形分析与地球物理和地球化学异常的分解”（编号：40674073）资助.

Multifractal Mode Study of Geochemical Fields Based on “Element Area Concentration” Method

WEN Zhan-jiu ^1,2，GAO Xing ³，YAO Zhen-xing ¹

1.The Institute of Geology and Geophysics, Chinese Academy of Sciences，Beijing 100029,China;2.Geologic Party No. 216, CNNC, Urumqi 830011,China; 3.The Institute of Tibetan Plateau Research,Chinese Academy of Sciences, Beijing 100029,China

Received:2007-01-25 Revised:2007-05-08 Online:2007-06-10 Published:2007-06-10

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从多重分形理论出发，在赤峰地区的2个区域应用“元素含量—面积（C-A）”模型方法。对“元素含量—面积”双对数图的形态进行分析，将地球化学异常多重分形特征模式分为3种类型：模式Ⅰ为可拟合为2条直线段的简单多重分形模式，具有该模式的元素在研究区内没有成矿富集的趋势，不存在实质性的致矿异常；模式Ⅱ为可以拟合为3条直线段的高富集多重分形模式，它在模式Ⅰ的基础上叠加有高含量的异常场，具有该模式的元素在研究区内存在较强的局部富集，成矿的可能性很大；模式Ⅲ为可拟合成3条直线段的低富集多重分形模式，它在模式Ⅰ的基础上叠加的是较弱的异常场，具有该模式的元素在研究区内有较弱的矿化作用。在此基础上，分析了元素的成矿富集规律和空间分布特征，确定了区域异常和局部异常的异常下限，划分了地球化学背景、区域异常和局部异常。

关键词: 多重分形模式, 地球化学异常, C-A多重分形模型

Based on the C-A method of the multifractal theory, two geochemical fields in Chifeng area, Inner Mongolia are studied.The results show that the geochemical fields have three different multifractal modes：The first one is a simple multifractal model with only two parts and the geochemical elements have no mineral enrichment；The second one is a mighty enrichment multifractal model with three parts,and it has a superposition of strong enrichment anomaly in the first one；The third one is a weak enrichment multifractal model with three parts and it has a superposition of weak enrichment anomaly in the first one. Based on these,The enrichment mode of the geochemical elements and their distribution in space are discussed and the anomaly lower limit can be obtained and then the geochemical backgrounds、regional anomalies and local anomalies are distinguished.

Key words: Geochemical anomaly, Multifractal mode, C-A , Multifractal model.

中图分类号:

P595

[1]Ｙu Chongwen,Cen Kuang, Bao Zhengyu,et al.Dynamics of Mineralization[M]．Beijing: Geological Publishing House, 1998:190-207.[於祟文，岑况，鲍征宇,等．成矿作用动力学[M]．北京:地质出版社，1998:190-207.]
[2]Cheng Qiuming.Multifractal theory and geochemical element distribution pattern[J].Earth Science—Journal of China University of Geosciences,2005,25(3)：311-318．[成秋明．多重分形理论与地球化学元素分布规律[J]．地球科学——中国地质大学学报,2000,25(3)：311-318.]
[3]Cheng Q,Agterberg F P．Multifractal modeling and spatial point processes[J]．Mathematical Geology,1995,2(7)：833-845． 
[4]Cheng Q.Multifractal modelling and lacunarity analysis[J].Mathematical Geology,1997,29：919-932．
[5]Cheng Q.Discrete multifractals[J].Mathematical Geology,1997,29(2)：245-266．
[6]Cheng Q．Markov processes and discrete multifractals[J]．Mathematical Geology,1999,31(4)：455-469.
[7]Cheng Q M, Agterberg F P, Ballantyne B S. The separation of geochemical anomalies from background by fractal method[J]．Journal of Geochemical Exploration,1994,43(2)：91-109.
[8]Xie Shuyun, Bao Zhengyu.Continuous multifractal model of geochemical fields[J].Geochemica,2002,31(2):191-200.[谢淑云,鲍征宇.地球化学场的的连续多重分形模式[J].地球化学,2002,31(2):191-200.]
[9]Xie Shuyun, Bao Zhengyu. Fractal and multifractal properties of geochemical fields[J]．Mathematical Geology,2004,36(7):847-864.

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