Multilfractal Analysis of Valley Sections on Geological Formations in Arid Areas (Case Study: Yazd-Ardakan Watershed)

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MOHAMMADI M.; EKHTESASI M.R.; TALEBI A.; HOSSEINI S.Z.

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Journal: Desert Management Year:2020 | Volume:7 | Issue:14 Page(s): 29-46

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Title

Multilfractal Analysis of Valley Sections on Geological Formations in Arid Areas (Case Study: Yazd-Ardakan Watershed)

Author(s)

MOHAMMADI M. | EKHTESASI M.R. | TALEBI A. | HOSSEINI S.Z. | Issue Writer Certificate

Keywords

Mathematical functionsQ1

Quantitative geomorphologyQ1

Longitudinal and Cross-sectionsQ1

Technical spectrumQ1

Abstract

Quantitative description of valley profiles can be used to identify its geomorphologic and dynamic properties and a useful tool in separating of the valleys created by various processes. In this study, the Longitudinal and Cross-sections of 15 valleys were investigated in three geological formations of Kahar, Taft and Granite. Fractal properties of valleys along with the Mathematical functions and two Vf and Fr indices were used to study valley morphology. The average of Vf index was calculated in Kahar, Taft and Granit formations 5. 56, 3. 52 and 1. 38, respectively. The average of Fr index in three formations were calculated 0. 07, 0. 20, and 0. 17, respectively. Results indicated heterogeneity in the lithology and structural of valleys. According to the results, the shape of the valley, from Kahar to Taft formation, is U profile to V-shaped profile. The results showed that less curvature profiles are fitted with linear functions and profiles with more curvature fitted with polynomial functions. In fact, the polynomial functions, especially, fourth order, have high ability in modeling Longitudinal and Cross-sections of the valleys. Subsequently, multi-fractal analysis of cross-sectional valley, using the general multi-fractal dimensions (Dq) and the Technical spectrum f (α q), showed that these sections are transmitted from mono-fractal to multi-fractal. None of the valley sections in Taft formation has multi-fractal properties. In a number of cross-section valleys of Granite and Kahar formations, the multifractal approach seems to be more appropriate, because of varying of fractal parameters depending on the locations. The results of this study showed that the multi-fractal analysis is a useful tool for assessing the complexity of cross-sections of the valleys and explaining hydrological and geomorphologic properties of valley and watershed.

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APA: Copy

MOHAMMADI, M., EKHTESASI, M.R., TALEBI, A., & HOSSEINI, S.Z.. (2020). Multilfractal Analysis of Valley Sections on Geological Formations in Arid Areas (Case Study: Yazd-Ardakan Watershed). DESERT MANAGEMENT, 7(14 ), 29-46. SID. https://sid.ir/paper/252811/en

Vancouver: Copy

MOHAMMADI M., EKHTESASI M.R., TALEBI A., HOSSEINI S.Z.. Multilfractal Analysis of Valley Sections on Geological Formations in Arid Areas (Case Study: Yazd-Ardakan Watershed). DESERT MANAGEMENT[Internet]. 2020;7(14 ):29-46. Available from: https://sid.ir/paper/252811/en

IEEE: Copy

M. MOHAMMADI, M.R. EKHTESASI, A. TALEBI, and S.Z. HOSSEINI, “Multilfractal Analysis of Valley Sections on Geological Formations in Arid Areas (Case Study: Yazd-Ardakan Watershed),” DESERT MANAGEMENT, vol. 7, no. 14 , pp. 29–46, 2020, [Online]. Available: https://sid.ir/paper/252811/en

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