基于小波变换的小世界网络多尺度研究——以元谋干热河谷土壤裂缝网络为例

Multiscale study on small world network based on wavelet transform:exemplified with soil fractures network in Yuanmou Dry-hot Valley

利用小波变换理论对土壤裂缝小世界网络进行了多尺度分解。研究结果表明,两种土壤裂缝小世界网络的复杂性并不能掩埋整体连接的稀疏性,可通过裂缝网络的大尺度的低维子集来表现。在不同的尺度上观察到土壤裂缝的形态可看做不同时间段上的发展过程。裂缝怎样由“小”到“大”的,对研究土壤裂缝的发展过程提供连续的可视化过程。

The multi-scale decomposition of two soil fracture networks is studied by using wavelet transform theory.The simulation results prove that the decomposition strategy of soil fissure network based on multiscale geometric analysis is effective.The complexity of the two small-world networks cannot bury the sparseness of the whole connection,and can be expressed by the large-scale low-dimensional subset.So we can observe the form of soil cracks on different scales.We can observe the development process of different time periods,that is,how cracks change from“small”to“big”.The study can provide continuous visualization process for studying the development process of soil cracks.