坡面细沟分形研究的空间数据获取与分析  

Analysis of Spatial Data for Rill Fractal Research on Slope

作　　者：张攀[1,2] 姚文艺[1] 陈伟 

机构地区：[1]黄河水利科学研究院水利部黄土高原水土流失过程与控制重点实验室,河南郑州450003 [2]河海大学水利水电学院,江苏南京210098 [3]黄河小浪底水资源投资有限公司,河南郑州450003

出　　处：《人民黄河》2014年第9期89-91,共3页Yellow River

基　　金：国家重点基础研究发展计划项目(2007CB407201);水利部黄土高原水土流失过程与控制重点实验室基金资助项目(黄科技ZX-2014-18);中央级公益性科研院所基本科研业务费专项资金资助项目(HKY-JBYW-2014-2)

摘　　要：如何实现细沟沟网分形维数的准确计算是目前坡面侵蚀非线性量化面临的主要问题之一。为了实现分形理论在细沟量化中的应用,在介绍坡面DEM获取、细沟沟网提取方法的基础上,依据分形盒维数的基本原理,提出基于ArcGIS的细沟沟网分维值计算的网格化方法,以黄土坡面侵蚀模型为例,对黄土坡面模型细沟分形维数和数据无标度区进行了计算和分析,通过计算得到分维值为1.126 6,并对计算结果的合理性进行了讨论,认为该方法具有较高可信度。Realization of rill fractal dimension accurate computation is one of subject matters in the slope erosion non-linear quantification at pres-ent. In order to facilitate fractal theory application in the rill morphologic quantification,in the foundation of slope DEM obtaining and rill network extract introduction,according to the basic principle of box counting method and varying scale to count fractal dimension,it used different sizes of grid from 1 to 200 covered the rill network,proposed the grid method of ArcGIS-based rill net fractal dimension computation,used the loess slope erosion model as an example,computated and analyzed the loess slope model rill fractal information dimension and non-scale range ,obtained the fractal dimension value is 1. 1266,and had discussed to the rationality of computed results. The method had a relatively high level of confidence, which was more than satisfied with the application.

关 键 词：土壤侵蚀 细沟分形维数 分形量化 ARCGIS 

分 类 号：S157[农业科学—土壤学]