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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期天津大學(xué)學(xué)報(bào)Vol.41No.92008年9月JournalofTianjinUniversitySep.2008蜿蜒河流平面形態(tài)的幾何分形及統(tǒng)計(jì)分析白玉川,黃濤,許棟(天津大學(xué)建筑工程學(xué)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態(tài)是一種多尺度分形結(jié)構(gòu).筆者對(duì)蜿蜒河流平面形態(tài)進(jìn)行了幾何分形分析,計(jì)算了蜿蜒河流河道中心線的分形盒維數(shù),并利用分形維數(shù)對(duì)大型河流的彎曲度和不規(guī)則程度進(jìn)行了描述.另外,建立了對(duì)蜿蜒河流河彎形態(tài)進(jìn)行識(shí)別、概化以及特征量統(tǒng)計(jì)分析的方法,并將其應(yīng)用到黃河、長(zhǎng)江等河流的幾何形態(tài)統(tǒng)計(jì)分析中.河彎形態(tài)的統(tǒng)計(jì)結(jié)果能夠?yàn)橛嘘P(guān)工程的建設(shè)、河流生態(tài)修復(fù)及理論分析等提供信息支持.關(guān)鍵詞:蜿蜒河流;分形幾何;盒維數(shù);統(tǒng)計(jì)分析中圖分類號(hào):TV147.2文獻(xiàn)標(biāo)志碼:A文章編號(hào):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