黄土高原分形沟网研究

Fractal Channel Networks on Loess Plateau

推测认为黄土高源沟网具有分形性。根据Hoton定律推导沟网分维计算式 ,确定沟网分形结构 ,分形理论求算得小流域沟网的分维D =1.9接近于平面空间时的D =2理论值。统计分析发现流域边界周长、长轴、短轴、长短轴比、汇合角等地貌指标随流域面积的变化。

There has been speculation that river networks are fractals on Loess Plateau.The fractal dimension of networks,d, is derived here from the Horton's lows of network composition. We analyses that channel networks determine their fractal structure and find that the networks as a whole ,although composed of nearly members,is practically space filling with fractal dimension near 2.Statistical analyese find empirical relationships of geometric target .It is turn out that self similarity of river drainage basins is characterized by self similar dimension on Loess Plateau.