Fractal Modelling of the Microstructure Property of Quartz Mylonite During Deformation Process

Application of singularity mapping technique to identify local anomalies using stream sediment geochemical data, a case study from Gangdese, Tibet, western China

“…In the geological sciences, these approaches have been used to describe the irregularity of geological features and the spatial distribution patterns of geological objects (Mandelbrot, 1983;Cheng, 1995;Cheng and Agterberg, 1995;Wang et al, 2006;Wang et al, 2008;Raines, 2008) and to characterize properties of mineralization and mineral deposits, such as grade-tonnage models (Turcotte, 1996(Turcotte, , 2002, vein thicknessgrade models (Sanderson et al, 1994), accumulative number-deposit and deposit density models (Carlson, 1991;Agterberg et al, 1993;Li et al, 1994;Shi and Wang, 1998). Fractal and multifractal models have also been applied to separate anomalies from background values.…”

Application of fractal models to characterization of vertical distribution of geochemical element concentration

“…Fractal models have been extensively applied to physical and chemical quantities with geometrical support in the past two decades. In geology, this approach has been used for characterizing geological objects and geological features (Mandelbrot, 1983;Cheng, 1995;Wang et al, 2006Wang et al, , 2008 and for separating anomalies from background values (Cheng et al, 1994(Cheng et al, , 2000, and for quantifying properties of mineralization and mineral deposits (Turcotte, 1996;Sanderson et al, 1994;Agterberg, 1993;Li et al, 1994;Shi and Wang, 1998;Turcotte, 2002). In this paper, the fractal dimensions including box dimension, power-law frequency and Hurst exponents were utilized to characterize the vertical distribution of trace elements and to evaluate the mineralized continuity based on borehole datasets.…”

Data-Driven Index Overlay and Boolean Logic Mineral Prospectivity Modeling in Greenfields Exploration

“…In the geosciences, fractal models have been used to explain the spatial distributions of geological features (e.g., Cheng 1995;Cheng and Agterberg 1995;Wang et al 2006Wang et al , 2008Raines 2008;Carranza and Sadeghi 2014). Several fractal models have been developed and successfully applied to study spatial features related to mineralization (e.g., Panahi and Cheng 2004;Agterberg 2007;Carranza 2008a;Ford and Blenkinsop 2009;Gumiel et al 2010;Afzal et al 2011; Arias et al 2011) such as geochemical anomalies (e.g., Cheng et al 1994Cheng et al , 1996Cheng et al , 2010Cheng 1999Cheng , 2007Carranza 2008bCarranza , 2010aCarranza , 2010bCarranza , 2011Zuo and Cheng 2008;Cheng and Agterberg 2009;Deng et al 2009Deng et al , 2010Deng et al , 2011Wang et al 2011a;Zuo 2011aZuo , 2011bZuo , 2011cZuo and Xia 2009;Zuo et al 2009b), structural controls (e.g., Carranza 2008a; Carranza et al 2009;Carranza and Sadeghi 2010;Zhao et al 2011), and geological controls (e.g., Ford and Blenkinsop 2008;Zuo, Agterberg, et al 2009a;Wang et al 2011b).…”