Applying Surface Fractal Analysis (SFA) in analysis of surface anomalies and its relation with changes in morphotectonic zones in the margin of the High Zagros Belt (HZB)

Fractal geometry is a method for describing a self-similar or a self-affine property in complex landforms and explanation of surface complexities and roughness. In the present study, the surface fractal dimensions (SFDs) were investigated by a cellular model by covering the divider method. Results indicated that geological and geomorphological processes change the character of the fractal dimension of the landforms. Changes in lithologic boundaries and faults influence changes in the fractal dimension and their mode of influence vary according to the topographic characters such as frequency, amplitude, and  types of formations. In lithologic units with hard limestone formations, the fractal dimension is low, while in alluvial formations, the fractal dimension increases. The drainage network density and tributaries margins affect the fractal dimension. Moreover, homogeneity of the lithologic units decreases the fractal dimension. In this study, the lowest fractal dimension is associated with the integrated units of Mesozoic orbitolina limestones on the border of the two structural zones of Sanandaj-Sirjan and High Zagros belt. However, friable and sensitive to erosion formations of the quaternary increase the fractal dimension. The succession of the hard and friable layers is effective on the local scale on the fractal dimension. Furthermore, mountains have lower fractal dimensions than lowlands. Generally, there is an inverse relationship between the fractal dimension and elevation and this relationship there is about the roughness index in the basin. The results illustrated that changes in the surface fractal dimension were dependent on a set of lithologic, tectonic, and geomorphologic factors. Also in complex topographic zones investigation of changes in the fractal dimension can be a useful and effective instrument for detecting and surveying of the surface anomalies.