新疆天山地区地貌分形与多重分形特征研究

RESEARCH ON FRACTAL AND MULTI-FRACTAL PROPER-TIES OF LANDFORM SURFACE IN TIANSHAN AREA, XINJIANG, CHINA

利用投影覆盖法和投影覆盖概率对新疆天山地区不同构造地貌类型进行了分形与多重分形特征的研究。结果表明 :在所研究的标度范围内 ,不同地貌区均表现出明显的多度域分形 ,分维值总体上呈现出高山区 >中低山区 >盆地区特点 ,多重分形谱 Dq的形态和值域范围也表现出不同特征。研究认为 ,地貌表面的分维值与地貌形成的内外力地质作用方式和强度密切相关 ,并提出 5-

By using the Projective Covering method and projective covering probability, the fractal and multi fractal dimensions of several types of landform surfaces in Tianshan area, Xinjiang, China, are computed. The result shows that the studied landform surfaces are not simple fractal, but multi range scaling fractal, and the fractal dimensions increase with the varying of landform types from basin, mid low mountain to high mountain. Nevertheless, different types of landscapes show different D\-q q curve shapes. The D\-q value of the landform of high mountain type has the widest range; the second is the mid low mountain type, and then the basin type. It suggests that the fractal dimension value mainly depends on the intensity and scale of the endo exogenic geological effect, and that the 5 6 km scale can be considered as the boundary plane of macro effect and micro effect on landform.