蜿蜒河流平面形态的几何分形及统计分析

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1、Seediscussions,stats,andauthorprofilesforthispublicationat:https://www.researchgate.net/publication/285675835FractalandstatisticanalysisofplanarshapeofmeanderingriversArticleinTianjinDaxueXuebao(ZiranKexueyuGongchengJishuBan)/JournalofTianjinUniversityScienceandTechnology·September2

2、008CITATIONSREADS111083authors,including:DongXuTianjinUniversity57PUBLICATIONS214CITATIONSSEEPROFILESomeoftheauthorsofthispublicationarealsoworkingontheserelatedprojects:Studyoncouplingmechanismsofvortex-inducedvibrationofflexiblesubmarinepipelinesand3-dimensionallocalscourofsandyse

3、abedViewprojectNumericalSimulationofSedimentEntrainmentViewprojectAllcontentfollowingthispagewasuploadedbyDongXuon18January2016.Theuserhasrequestedenhancementofthedownloadedfile.第41卷第9期天津大学学报Vol.41No.92008年9月JournalofTianjinUniversitySep.2008蜿蜒河流平面形态的几何分形及统计分析白玉川，黄涛，许栋（天津大学建筑工程学院河流海

4、岸工程泥沙研究室，天津300072）摘要：自然界中大型蜿蜒河流的平面形态是一种多尺度分形结构．笔者对蜿蜒河流平面形态进行了几何分形分析，计算了蜿蜒河流河道中心线的分形盒维数，并利用分形维数对大型河流的弯曲度和不规则程度进行了描述．另外，建立了对蜿蜒河流河弯形态进行识别、概化以及特征量统计分析的方法，并将其应用到黄河、长江等河流的几何形态统计分析中．河弯形态的统计结果能够为有关工程的建设、河流生态修复及理论分析等提供信息支持．关键词：蜿蜒河流；分形几何；盒维数；统计分析中图分类号：TV147.2文献标志码：A文章编号：0493-2137（2008）09-1052

5、-05FractalandStatisticAnalysisofPlanarShapeofMeanderingRiversBAIYu-chuan，HUANGTao，XUDong（InstituteforSedimentonRiverandCoastEngineering，SchoolofCivilEngineering，TianjinUniversity，Tianjin300072，China）Abstract：Theplanarshapeoflargescalemeanderingriversinnatureisakindofmulti-scalefract

6、alstructure，forwhich，fractalanalysiswascarriedoutinthispaperbycalculatingthefractalboxdimensionofthecenterlineofmeanderingriverchannels.Thecurvatureandirregularityoflargescaleriversweredescribedwithfractaldimensions.Besides，amethodwasestablishedforrivermeanderidentification，generali

7、zationandstatistic,andthenappliedintheanalysisofthegeometricshapeoftheYellowRiverandtheYangtzeRiver,etc.Statisticresultsofrivermeandersprovidevaluableinformationforrelatedengineeringconstruction，riverrecoveryandtheoreticalanalysis.Keywords：meanderingriver；fractalgeometry；boxdimensio

8、n；statisticanalysis