fractal disterbution of earthquake epicenter and faulting in the sepidar anticline, sw zagros

Fractal analysis (mandelbrot, 1982) is one of the most appropriate methods for determining the quantitative level of tectonic activity, structural maturity and degree of heterogeneity of seismicity (naimi-ghasabian, 2017). in this paper, the fractal dimension (d) obtained by the box-counting method as the most general approach for calculating d (turcott,1989). according to this method, the study area was initially superimposed on a square grid size r1. the unit square (r) of area was divided into small squares of linear size r1/2, r1/4 and r1/8, sequentially. the geometry of fractals is calculated bypower-law distribution and the potential d, is represented by the fractal dimension: