多维分形理论和地球化学元素分布规律

成秋明

Volume 25 Issue 3

May 2000

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CHENG Qiuming, 2000. MULTIFRACTAL THEORY AND GEOCHEMICAL ELEMENT DISTRIBUTION PATTERN. Earth Science, 25(3): 311-318.

Citation:

CHENG Qiuming, 2000. MULTIFRACTAL THEORY AND GEOCHEMICAL ELEMENT DISTRIBUTION PATTERN. Earth Science, 25(3): 311-318.

CHENG Qiuming, 2000. MULTIFRACTAL THEORY AND GEOCHEMICAL ELEMENT DISTRIBUTION PATTERN. Earth Science, 25(3): 311-318.

Citation:

CHENG Qiuming, 2000. MULTIFRACTAL THEORY AND GEOCHEMICAL ELEMENT DISTRIBUTION PATTERN. Earth Science, 25(3): 311-318.

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MULTIFRACTAL THEORY AND GEOCHEMICAL ELEMENT DISTRIBUTION PATTERN

CHENG Qiuming

Department of Earth Atmospheric Science and Geography, York University, Toronto M3J1P3, Canada

Received Date: 1999-12-07
Publish Date: 2000-05-25

Abstract

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.
- multifractal modeling,
- fractal distribution of anomalous values,
- Au/Cu mineralization,
- B. C. Province, Canada

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References(33)

References

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