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    降雨驱动下黄土坡面细沟的分形和熵量化描述

    Quantitative description of rill morphology on the rainfall-driven loess hillslope by fractal and entropy

    • 摘要: 仅利用分形无法充分揭示坡面细沟发育的形态特征,还应引入反映细沟发育阶段的地貌信息熵。把分形理论和熵相结合,系统研究坡面细沟沟网分形结构、地貌信息熵及其侵蚀演化之间的关系。通过实例分析发现,细沟分维值能够准确量化沟网平面形态的复杂程度,但当沟网基本稳定,细沟开始向纵深发展时,分形维数对侵蚀强弱动态变化的表达就显得力不从心。坡面地貌信息熵值随侵蚀量的增加呈单调增加趋势,且具有较高相关性,可以作为坡面地貌系统分析中的重要参数。

       

      Abstract: It is insufficient to reveal the morphological characteristics of rill development only by using fractal theory. Geomorphologic comentropy should also be introduced to reflect the developmental stages of rill. Combining the fractal theory with geomorphologic comentropy, we studied systematically the relationship between fractal structure of rill network, geomorphologic comentropy and the rill morphology evolution. Case analysis shows that the complexity of the rill network can be quantified accurately by rill fractal dimension, but its relationship with erosion amount is unsatisfactory. The geomorphologic comentropy is highly correlated with erosion amount, and can be used as an important parameter in the analysis of slope morphological system.

       

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