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Study on Self-Affine Fractal and Multi-Fractal Features of Geomorphic System in the Tianshan Area of Xinjiang Region, China
作者姓名:Li Meng  Zhu Lingren  Long Haiying
作者单位:SeismologicalBureauofXinjiangUygurAutonomousRegion,Ururnqi830011,China
基金项目:Theworkisapartoftheresearchproject (2 0 0 0 0 7) supportedbytheEarthquakeScienceFoundationofXinjiangUygurAutonomousRegion,China .
摘    要:In this paper, we use the standard deviation method and the fixed mass method to study the self-affine fractal and multi-fractal features along two topographic profiles across different tectonic-geomorphic elements in the Tianshan area of Xinjiang region, China. The results show that in the studied scaling range, the two profiles display different scaling fractal features, and the form and value range of multi-fractal spectra Dq also show different characteristics. The study suggests that the landforms are not completely random, but are deterministically random. The fractal dimension values in different scaling ranges express the mode, intensity and spatial dimension of the endogenic and exogenic processes. Meanwhile, a boundary point between the macroscopic and microscopic scales of geomorphic process is suggested to be about 5km. These results are of significance in quantitative study of geomorphic dynamics.

关 键 词:地形学  多次分馏  动力学  天山  地质构造

Study on Self-Affine Fractal and Multi-Fractal Features of Geomorphic System in the Tianshan Area of Xinjiang Region,China
Li Meng,Zhu Lingren,Long Haiying.Study on Self-Affine Fractal and Multi-Fractal Features of Geomorphic System in the Tianshan Area of Xinjiang Region, China[J].Earthquake Research in China,2003,17(3):256-264.
Authors:Li Meng  Zhu Lingren and Long Haiying
Institution:Seismological Bureau of Xinjiang Uygur Autonomous Region, Urumqi 830011, China;Seismological Bureau of Xinjiang Uygur Autonomous Region, Urumqi 830011, China;Seismological Bureau of Xinjiang Uygur Autonomous Region, Urumqi 830011, China
Abstract:In this paper, we use the standard deviation method and the fixed mass method to study the self affine fractal and multi fractal features along two topographic profiles across different tectonic geomorphic elements in the Tianshan area of Xinjiang region, China. The results show that in the studied scaling range, the two profiles display different scaling fractal features, and the form and value range of multi fractal spectra D q also show different characteristics. The study suggests that the landforms are not completely random, but are deterministically random. The fractal dimension values in different scaling ranges express the mode, intensity and spatial dimension of the endogenic and exogenic processes. Meanwhile, a boundary point between the macroscopic and microscopic scales of geomorphic process is suggested to be about 5 km. These results are of significance in quantitative study of geomorphic dynamics.
Keywords:Tianshan  Geomorphology  Self  affine fractal  Multiple fractal  Dynamics
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