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Nonlinear Processes in Geophysics An interactive open-access journal of the European Geosciences Union
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Volume 14, issue 3
Nonlin. Processes Geophys., 14, 317–324, 2007
https://doi.org/10.5194/npg-14-317-2007
© Author(s) 2007. This work is licensed under
the Creative Commons Attribution-NonCommercial-ShareAlike 2.5 License.

Special issue: New developments in scaling, scale and nonlinearity in the...

Nonlin. Processes Geophys., 14, 317–324, 2007
https://doi.org/10.5194/npg-14-317-2007
© Author(s) 2007. This work is licensed under
the Creative Commons Attribution-NonCommercial-ShareAlike 2.5 License.

  28 Jun 2007

28 Jun 2007

A novel iterative approach for mapping local singularities from geochemical data

Zhijun Chen1,2, Qiuming Cheng1,2,3, Jiaoguo Chen1,2, and Shuyun Xie1,4 Zhijun Chen et al.
  • 1State Key Laboratory of Geological Processes and Mineral Resources, Wuhan 430074, Beijing 100083, China
  • 2Faculty of Earth Resources, China University of Geosciences, Wuhan Hubei 430074, China
  • 3Department of Earth and Space Science, Department of Geography, York University, Toronto, M3J 1P3, Canada
  • 4Faculty of Earth Sciences, China University of Geosciences, Wuhan Hubei 430074, China

Abstract. 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.

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