虎跳峡龙蟠右岸土石混合体粒度分形特征研究
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摘要
应用分维理论对虎跳峡龙蟠右岸分布的土石混合体粒度分布的分维规律进行了研究分析,建立了平均粒径与相应的分维数之间的定量关系模型。通过研究表明,土石混合体具有良好的统计自相似性,由于其本身为级配不良土,在分维曲线上表现为双重分形分布,这种特殊的分维分布与土石混合体的成因及形成过程有关。
The fractal characteristics of particle size distribution of soil-rock mixtures in the right bank of Long-pan in Tiger-Leaping Gorge area are studied by using fractal geometry theory.The quantitative equations reflecting the relationship between particle size average and fractal dimensions are established.It is found that the statistical self-similarity of particle size distribution exists in the soil-rock mixtures.For the soil-rock mixtures is poorly graded,the fractal curve shows special double fractal dimensions,which has relations with the origin and formation of the soil-rock mixtures.
The fractal characteristics of particle size distribution of soil-rock mixtures in the right bank of Long-pan in Tiger-Leaping Gorge area are studied by using fractal geometry theory.The quantitative equations reflecting the relationship between particle size average and fractal dimensions are established.It is found that the statistical self-similarity of particle size distribution exists in the soil-rock mixtures.For the soil-rock mixtures is poorly graded,the fractal curve shows special double fractal dimensions,which has relations with the origin and formation of the soil-rock mixtures.
引文
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[2]E.Perfect,Kay,B.D..Fractal theory applied to soil aggregation[J].Soil Sci.Soc.Am.,1991,J.55,1552~1558.
[3]V.Rasiah,Kay,B.D.,Perfect,E..New mass-based modelfor estimating fractal d im ensions of soil aggregates[J].Soil Sci.Soc.Am.,1993,57,891~895.
[4]胡瑞林,李向全,等.分形理论在黄土湿陷性的微结构效应研究中的应用[J].非线性动力学学报,1996,3(4):360~366.Hu Ru ilin,L i X iangquan,Guan Guolin,et al..Application offractal theory in study ofm icrostructure effect on loess collapsib ili-ty.Journal of non linear dynam ics in sciences and technology,1996,3(4):360~366.
[5]刘松玉,方磊,陈浩东.论我国特殊土粒度分布的分形结构[J].岩土工程学报,1993,15(1):23~30.L iu Songyu,Fang Lei,Chen Haodong.Fractal structure of granu-larity d istribution of regional soil in ch ina.Yantu Gongcheng Xue-bao,1993,15(1):23~30.
[6]徐永福,刘斯宏,董平.粒状土体的结构模型[J].岩土力学,2001,22(4):366~372.Xu Yongfu,L iu S ihong,Dong P ing.M icrostructural model forgranu lar soil.Rock and SoilM echan ics,2001,22(4):366~372.
[7]柏春广,王建.一种新的粒度指标:沉积物粒度分维值及其环境意义[J].沉积学报,2003,21(2):234~239.Bai Chunguang,W ang Jian.A new grain-size index:grain-sizefractal d im ension of sed im ent and its environm ental sign ificance.Acta sed im entologica sin ica,2003,21(2):234~239.
[8]谢和平.分形-岩石力学导论[M].北京:科学出版社,2005.X ie Hep ing.Fractal-Rock m echan ics introduction.Beijing:Sci-ence press,2005.
[9]陈颙.分形几何[M].北京:地震出版社,1998.Chen Yong.Fractal geom etry.Beijing:Earthquake press,1998.
[10]徐文杰,胡瑞林等.虎跳峡龙蟠右岸土石混合体野外试验研究[J].岩石力学与工程学报,2006,25(6):1270~1277.XU W en-jie,HU Ru i-lin,TAN Ru-jiao.Study on field testof rock-soil aggregate in the right bank of Long-pan in Tiger-Leap ing Gorge area.Ch inese Journal ofRockM echan ics and En-gineering,2006,25(6):1270~1277.
[11]殷跃平,张加桂.三峡库区巫山移民新城址松散堆积体成因机制研究[J].工程地质学报,2000,8(3):265~271.Y in Yuep ing,Zhang Jiagu i.Formation M echan ism of Large-Scale Loose Sed im ent at The Relocation S ites ofW ushan Countyon The Three-Gorges.Journal of Engineering Geology,2000,8(3):265~271.
[12]K.O leschko,B.F igueroa,S.,M.E.M iranda,etc..Massfractal d im ensions and som e selected physical properties of con-trasting soils and sed im ents of M exico[J].Soil&Tillage Re-search 2000,55,43~61.
[13]Jam es P.Hyslip,Lu is E.Vallejo.Fractal analysis of the rough-ness and size d istribution of granu lar materials[J].EngineeringGeology,1997,48,231~244.
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