| 多维分形理论和地球化学元素分布规律 |
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| 引用本文： | 成秋明.多维分形理论和地球化学元素分布规律[J].地球科学,2000,25(3):311-318. |
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| 作者姓名： | 成秋明 |
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| 作者单位： | York大学地球大气科学和地理系, 加拿大多伦多 M3J1P3 |
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| 基金项目： | 加拿大自然科学基金项目!(NSERC -OGP0 183 993 ) |
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| 摘 要： | 多维分形模型不仅采用常规的低阶矩统计, 而且采用高阶矩统计对多维分形分布进行度量, 从而能较细致地刻划正常值以及异常值.地球化学元素的正常值往往服从统计学中的大数定量, 即满足正态分布或对数正态分布, 然而异常值会服从分形分布(Preato).介绍了多维分形领域中的最新发展以及在地球化学研究中特别是研究超常元素空间分布和富集规律中的应用.结果表明, 通常的统计方法只对应于多维分形围绕均值周围的局部特征.为了有效地研究异常值的分布和富集规律, 建议采用高阶矩统计方法和多维分形方法, 并给出了两种分析地球化学元素, 并突出异常值贡献的方法.这些方法不仅可应用于研究微量元素的空间分布和富集规律, 而且可以区分地球化学背景与矿化有关的异常值.还介绍了该方法在对加拿大B.C.省西北部Mitchell-Sulphurets地区金铜矿化蚀变带研究中的应用.
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| 关 键 词： | 多维分形模型 元素异常分形分布 金铜矿化 加拿大B.C.省 |
| 收稿时间： | 1999-12-07 |
MULTIFRACTAL THEORY AND GEOCHEMICAL ELEMENT DISTRIBUTION PATTERN |
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| Cheng Qiuming.MULTIFRACTAL THEORY AND GEOCHEMICAL ELEMENT DISTRIBUTION PATTERN[J].Earth Science-Journal of China University of Geosciences,2000,25(3):311-318. |
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| Authors: | Cheng Qiuming |
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| Abstract: | Multifractal model is used to measure the multifractal distribution by means of not only the conventional low_order moment statistics but also the high_order moment statistics. Therefore, this model can be used to measure the statistical properties of the anomalous values as well as the background geochemical values. The background geochemical values usually follow normal or lognormal distributions, but the anomalous values may follow fractal (Preato) distributions. This paper introduces some recent developments of multifractal modeling and their applications to geochemistry, in particular to the spatial distribution and concentration pattern of trace elements. The results show that the ordinary statistical methods are effective only for the understanding of local properties of the values surrounding the multifractal mean value. In order to characterize effectively the distribution and concentration pattern of the anomalous values, this paper proposes the high_order moment statistical method and multifractal method. Furthermore, two methods have been given in this paper for the analyses of geochemical elements and anomalous values: concentration_area (C-A) fractal method and high_order correlation coefficient. The former method is used for separating anomalies from their background values and the latter is for enhancing the correlation coefficient between anomalous values of multiple elements. A case study is used to illustrate the application of these methods to the detection of Au/Cu_associated alteration zones in the Mitchell-Sulphurests mineral district, northwest of B.C. Province, Canada. |
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| Keywords: | multifractal modeling fractal distribution of anomalous values Au/Cu mineralization B C Province Canada |
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