Abstract
We use multifractal detrended cross -fluctuation analysis (MF-DXA) to investigate nonlinear behavior of geochemical element concentration, Au-Cu-Pb-Zn-Ag, in Shangzhuang Deposit, Shandong Province, China. We find that the generalized Hurst exponent h(q) and cross-correlation exponent hxy(q) decrease with the increase of q, which indicate that all element concentration series and their cross pairs exhibit multifractal phenomena. By comparing the variability of h(q) and hxy(q), we have found that the multifractal behavior is more obvious when q > 0 than q < 0 for the element Au- Cu-Pb-Zn and their cross pairs. These analyses, given quantitative information about the complexity of the element concentration, lead to a better understanding of the geochemical phenomena underlying mineralization process.
Highlights
Tempo-spatial distribution characteristics of geochemical element distribution is the basis of metallogenic prognosis for a region
Looking for long-range correlations in geochemical element concentration series and for the cross-correlations between different elements concentration sets by multifractal analysis would help to promote our understanding of the corresponding dynamics and their future evolution
Shangzhuang gold deposit is located at Wangershan fault zone of northwestern of Shandong province, China
Summary
Tempo-spatial distribution characteristics of geochemical element distribution is the basis of metallogenic prognosis for a region. Geochemical element distribution often shows a highly irregular structure, and exhibits scale-dependent changes in structure, and needs nonconventional statistical methods. The distributions of geochemical elements in disseminatedveinlet gold deposit exhibit fractal and multifractal characteristics [7,8,9]. In many cases, there still exists cross correlation between different geochemical elements. Looking for long-range correlations in geochemical element concentration series and for the cross-correlations between different elements concentration sets by multifractal analysis would help to promote our understanding of the corresponding dynamics and their future evolution. The higher-dimensional method was named multifractal detrended cross-fluctuation analysis (MF-DXA) [12], which has been widely used to analysing data in different fields, such as financial, sunspot and river flow fluctuations, and meteorological [13,14,15,16].
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