Fractal analysis of valley sections in geological formations of arid areas

Application of Fractal Dimension in Erosion Susceptibility Analysis of Geological Formations in Arid Areas, the Yazd-Ardakan Catchment of Iran

“…In some studies, researchers have identified various factors that influence the fractal dimension of a drainage network. These factors include tectonics (Dombrádi et al, 2007), topography (Zhihui et al, 2017), and climate (Mohammadi Khoshoui and Ekhtesasi, 2022), which are considered primary factors. Additionally, the type of rock (lithology) is seen as a secondary factor in controlling the fractal dimension.…”

“…River networks' characteristics and behavior are most commonly described using morphometric analyses of drainage networks (Parupalli et al, 2019). However, these conventional mathematical methods have difficulty establishing relationships among various variables present in many natural phenomena, such as erodibility (Mohammadi Khoshoui and Ekhtesasi, 2022). Due to these challenges, as well as the inability to measure natural components, the understanding and explanation of these phenomena have been significantly altered (Mofidi et al, 2021;Mohammadi Khoshoui, 2017).…”

“…Watershed geomorphological features have been increasingly described quantitatively using fractal geometry in recent decades (De Cola and Lam, 1993;Phillips, 1993;Ben-Zion and Sammis, 2003;Turcotte, 2007;Gloaguen et al, 2007;Shahzad et al, 2010;Fac-Beneda, 2013;Dutta et al, 2014;Ibanez et al, 2014;Malekinezhad et al, 2017;Yang and Shi, 2017;Mofidi et al, 2021;Sepehri et al, 2021). This is due to the ability of fractal analysis to capture the complex and irregular patterns found in natural landscapes, such as mountains, valleys, and river networks (Malekinezhad et al, 2017;Mofidi et al, 2021;Mohammadi Khoshoui and Ekhtesasi, 2022). Fractal dimension and disorder are directly related in natural phenomena, which makes it possible to recognize how the drainage network system is affected by patterns of order and disorder.…”