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Singularity-Generalized Self-Similarity-Fractal Spectrum (3S) Models

CHENG Qiu-ming 1,21.State Key Laboratory of Geological Processes and Mineral Resources, China University of Geosciences, Wuhan430074, China2.Department of Earth and Space Science and Engineering, Department of Geography, York University, Toronto M3J1P3, Canada  
This paper introduces a new framework of mineral resource assessment according to the principle of multifractal modeling, particularly, Singularity, Generalized Self-Similarity and Fractal Spectrum (3S). It has been demonstrated that the concepts and models relevant to multifractal theory are useful not only for characterizing the fundamental properties of non-linearity of the mineralization processes, the singular distribution of mineral deposits and ore element concentrations in mineral districts, but also for singularity analysis and anomaly delineation. The theory can explain many properties of mineralization and spatial-temporal distribution spectra of mineral deposits such as mineral aggregation, singular distribution of element concentration, multifractal tonnage-grade model, fractal growth of minerals, and self-organized processes. Integrating multifractal principals, mineralization processes, distribution of mineral deposits, and resource assessment have resulted in an effective new approach for mapping mineral resources and modeling mineral targets. Together with the advanced GeoDAS GIS technology it serves as a novel principal methodology and technology for mineral resource assessment.
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