CAJ | 학술논문

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Arc-GIS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1．1266，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。
여하실현세구구망분형유수적준학계산시목전파면침식비선성양화면림적주요문제지일。위료실현분형이론재세구양화중적응용，재개소파면DEM획취、세구구망제취방법적기출상，의거분형합유수적기본원리，제출기우Arc-GIS적세구구망분유치계산적망격화방법，이황토파면침식모형위례，대황토파면모형세구분형유수화수거무표도구진행료계산화분석，통과계산득도분유치위1．1266，병대계산결과적합이성진행료토론，인위해방법구유교고가신도。
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.