The Open Materials Science Journal

2014, 8 : 136-140
Published online 2014 December 31. DOI: 10.2174/1874088X01408010136
Publisher ID: TOMSJ-8-136

Multifractal Detrended Cross-Correlation Analysis of Geochemical Element Concentration

Wan Li , Zhu Yongqian , Deng Xiaocheng and Lin Jiaoxiu
School of Mathematics and Information Science, Guangzhou University, Guangzhou, Guangdong 510006, China.

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.

Keywords:

Cross-correlation, detrended fluctuation analysis, geochemical element, multifractal, nonlinear.