A novel iterative approach for mapping local singularities from geochemical data

Zhijun Chen (1, 2) , Qiuming Cheng (1, 2, 3) , Jiaoguo Chen (1, 2) , Shuyun Xie (1, 4)

1 State Key Laboratory of Geological Processes and Mineral Resources
2 Faculty of Earth Resources [Wuham]
3 Department of Earth and Space Sciences and Engineering [Toronto]
4 Faculty of Earth Sciences [Wuham]

There are many phenomena in nature, such as earthquakes, landslides, floods, and large-scale mineralization that are characterized by singular functions exhibiting scale invariant properties. A local singularity analysis based on multifractal modeling was developed for detection of local anomalies for mineral exploration. An iterative approach is proposed in the current paper for improvement of parameter estimations involved in the local singularity analysis. The advantage of this new approach is demonstrated with de Wijs's zinc data from a sphalerite-quartz vein near Pulacayo in Bolivia. The semivariogram method was used to illustrate the differences between the raw data and the estimated data by the new algorithm. It has been shown that the outcome of the local singularity analysis consists of two components: singularity component characterized by local singularity index and the non-singular component by prefractal parameter.

Domaines: Cosmologie et astrophysique extra-galactique [astro-ph.CO]; Astrophysique [astro-ph]; Sciences de la Terre

Zhijun Chen, Qiuming Cheng, Jiaoguo Chen, Shuyun Xie. A novel iterative approach for mapping local singularities from geochemical data. Nonlinear Processes in Geophysics, 2007, 14 (3), pp.317-324. ⟨hal-00302868⟩