高级搜索
  • 全国中文核心期刊
  • 中国科技核心期刊
  • 美国工程索引（EI）收录期刊

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

分形理论在水文水资源中的应用

张少文,  王文圣,  丁晶,  常福宣

downloadPDF
文章导航 > 水科学进展  > 2005 >  16(1): 141-146
张少文, 王文圣, 丁晶, 常福宣. 分形理论在水文水资源中的应用[J]. 水科学进展, 2005, 16(1): 141-146.
引用本文: 张少文, 王文圣, 丁晶, 常福宣. 分形理论在水文水资源中的应用[J]. 水科学进展, 2005, 16(1): 141-146.
shu
ZHANG Shao-wen, WANG Wen-sheng, DING Jing, CHANG Fu-xuan. Application of fractal theory to hydrology and water resources[J]. Advances in Water Science, 2005, 16(1): 141-146.
Citation: ZHANG Shao-wen, WANG Wen-sheng, DING Jing, CHANG Fu-xuan. Application of fractal theory to hydrology and water resources[J]. Advances in Water Science, 2005, 16(1): 141-146.
shu

分形理论在水文水资源中的应用

  • 1.

    四川大学水电学院, 四川, 成都, 610065;

  • 2.

    长江科学院, 湖北, 武汉, 430010;

  • 3.

    北京市水利科学研究所, 北京, 100044

基金项目: 国家自然科学基金资助项目(40271024;50249024;50239050)
详细信息
    作者简介:

    张少文(1960- ),男,河南郑州人,高级工程师,博士研究生,主要从事水利水电工程的规划与设计工作.E-mail:zsw.scu2002@126.com;zsw.scu2002@163.com

  • 中图分类号: P343;S152.7;TV211

Application of fractal theory to hydrology and water resources

  • 1.

    School of hydraulic Eng., Sichuan Univ., Chengdu 610065, China;

  • 2.

    Yangtze River Scientific Research Institute, Wuhan 430010, China;

  • 3.

    Beijing Hydraulic Research Institute, Beijing 100044, China

Funds: The project is supported by the National Natural Science Foundation of China(No.40271024,No.50249024 and No.50239050).

  • 摘要: 较系统地论述了分形理论在水文水资源中的应用.主要包括:水系河网结构和流域地形地貌及其演变,河床表面形态,降水时空分布,洪水时空变化,径流过程和土壤水下渗等.概括了当前在应用中的特点:活跃思想和方法创新,同时指出值得注意的问题:在大量资料基础上进行深入分析和充分论证.
    Abstract: This paper deals more systematically with the application of fractal theory in many aspects to hydrology and water resources,including the structure of river network,the topography of basin,the surface geometry of river bed,the distribution of rainfall in time and space,the variation of flood in time and space,the process of runoff,the movement of ground water and infiltration.The characteristics which occur in the practice of the application of the fractal theory to hydrology and water resources shows the activity thinking and the creation in methodology for hydrology.Attention should be paid to the verification of the reasonable basis for such application based on a great deal of data.
  • [1] 李后强,程光钺.分形和分维[M].成都:四川教学出版社,1990.5-8.
    [2] Rodriguez-Iturbe,Rinaldo A.Fractal river basins-Change and self-organization[M].Cambridge:Cambridge University Press,1997.99-190.
    [3] Book review:Scale dependence and scale invariance in hydrology[J].Hydrological Sciences-Journal,2000,45(1):164-165.
    [4] Fietler D,Zhang Y.Fractal aspects of swiss landscape[J].Physica A,1992,191:213-219.
    [5] barbera L,Rosso R.On fractal geometry of river networks[J].Water Resour Res,1989,25(4):735-741.
    [6] Tarboton D G,Bras R L,Rodriguez-Iturbe I.The fractal nature of river networks[J].Water Resour Res,1989,24(8):1 317-1 322.
    [7] Mcherhar A I,Ibbitt R P,Brown S L R,et al.Data for Ashley river to test channel network and river basin heterogeneity concepts[J].Water Resour Res,1998,34(1):139-142.
    [8] Rodriguez-Iturbe M,Marani R,Rigon A Rialdo.Self-organized river basin landscapes:fractal and multifractal characteristics[J].Water Resour Res,1994,30(12):3531-3539.
    [9] 汪富泉.泥沙运动及河床演变的分形特征与自组织规律研究[D].成都:四川大学,1999.9-110.
    [10] Gupta V K.Statistical self-similarity in river networks parameterized by elevation[J].Water Resources Bulletin,1989,25(3):72-75.
    [11] 罗文锋,李后强,丁晶,等.Horton定律及分枝网络结构的分形描述[J].水科学进展,1998,9(2):118-123.
    [12] Robert A,Roy A G.On the fractal interpretation of the main-stream length-drainage area relationship[J].Water Resour Res,1990,26(9):839-842.
    [13] 洪时中,洪时明.地学领域中的分维研究:水系、地震及其他[J].大自然探索,1998,7(2):90-98.
    [14] Rosso R,Bacchi B,Barbera P L.Fractal relation of mainstream length to catchment area in river networks[J].Water Resour Res,1991,27(3):381-387.
    [15] Nikora V.Fractal structures of river plan forms[J].Water Resour Res,1991,27(6):1327-1333.
    [16] 李后强,艾南山.分形地貌学及地貌发育的分形模型[J].自然杂志,1992(7):516-519.
    [17] 冯平,冯炎.河流形态特征的分维计算方法[J].地理学报,1993,52(4):324-330.
    [18] 傅军,丁晶,邓育仁.嘉陵江流域形态及流量过程分维研究[J].成都科技大学学报,1995(1):74-79.
    [19] Marnani A,Rigon R,Rinaldo A.A note on fractal channel networks[J].Water Resour Res,1991,27(12):3041-3049.
    [20] Rigon R,Rinaldo A,Rodriguez-Iturbe T,et al.Optimal channel networks:a fremework for the study of river basin morphology[J].Water Rescur Res,1993,39(6):1635-1 646.
    [21] Howard A D.Theoretical model of optimal drainage networks[J].Water Resour Res,1990,24(9):2107-2117.
    [22] Rigon A,Rinaldo A,Rodriguez-Iturbe I.On landscape self-organization[J].J Geophys Res,1994,99(11):993-998.
    [23] Rinaldo A,Rodriguez-Iturbe I,Rigon R,et al.Self-organized fractal river network[J].Phys Rev Lett,1992,70(1):822-826.
    [24] Sun T,Meaken P,Jossang T.A minimum energy dissipation model for river basin geometry[J].Phys Rev E,1994,49(6):4865-4872.
    [25] Tarboton D G,Bras R L,Rodriguez-Iturbe I.Scaling and elevation in river networks[J].Water Resour Res,1989,25(9):3037-3039.
    [26] de Vries H,Becher T,Echhardt B.Power law distribution of discharge in ideal networks[J].Water Resour Res,1994,30(12):3541-3543.
    [27] Rodriguez-Iturbe I,Ijjasz-Vasquez E,Bras Tarboton D G.Power law distribution of discharge and energy in river basins[J].Water Resour Res,1992,28(4):1089-1 093.
    [28] Wharton G,Tomlinson.Flood discharge estimation from river channel dimensions:results of application in Jave,Burunda,Ghana and Tanzania[J].Hydrological Sciences-Journal,1999,44(1):97-110.
    [29] 金德生,陈浩,郭庆伍.河道纵剖面分形-非线性形态特征[J].地理学报,1993,52(2):154-161.
    [30] 王协康,方铎,姚令侃.非均匀沙床面粗糙度的分形特征[J].水利学报,1999(7):70-74.
    [31] Nikora V I.Fractal structures of river plan forms[J].Water Resour Res,1991,17(6):1 327-1 333.
    [32] Nikora V I,Sapozhnikov V B,Noever D A.Fractal geometry of individual river channels and its computer simulation[J].Water Resour Res,1993,29(10):3561-3568.
    [33] Nikora V I,Sapozhnikov V B.River network fractal geometry and its computer simulation[J].Water Resour Res,1993,29(10):3569-3575.
    [34] Sapozhnikov V B,Foufpula-Georgou E.Self-affinity in braided rivers[J].Water Resour Res,1996,32(5):1429-1439.
    [35] Foufpula-Georgou E,Sapozhnikov V B.Anisotropic scaling in braided rivers:an integrated theoretical framework and results from application to an experimental river[J].Water Resour Res,1998,34(4):863-867.
    [36] Nykane D K,Foufpula-Georgou E,Sapozhnikov V B.Study of spatial scaling in braided river patterns using synthetic aperture radar images[J].Water Resour Res,1998,34(7):1795-1 807.
    [37] Foufpula-Georgou E,Sapozhnikov V B.Do the current landscape elevation models show self-organizaed criticality?[J].Water Resour Res,1996,32(4):1 109-1 112.
    [38] 姚令侃,方铎.非均匀自组织临界性及其应用研究[J].水利学报,1997(3):26-23.
    [39] Lovejoy S,Schertzer D,Tsonis A A.Functional box-counting and multiple elliptical dimensions in rain[J].Science,1987,235:1 036-1038.
    [40] Olsson J,Niemczynowics J,Berndtsson R.Fractal analysis of high-resolution rainfall time serials[J].J Geophys Res,1993,98(12):23 265-23 274.
    [41] Sivakumar B.A preliminary investigation on the scaling behaviour of rainfall observed in two different climates[J].Hydrological Sciences-Journal,2000,45(2):203-219.
    [42] Lin Shu-chen,Liu Chang-ling,Lee Tzong-yeang.Fractal of rainfall:identification of temporal scaling law[J].Fractals,1997,7(2):123-131.
    [43] Svensson C,Olsson J,Berndtsson R.Multifractal properties of daily rainfall in two different climates[J].Water Resour Res,1996,32(8):2463-2472.
    [44] de Lima M I P,grasman J.Multifractal analysis of 15-min and daily rainfall from a semi-arid region in Portugal[J].J Hydrol,1999,217:1-11.
    [45] Waymire E.Scaling limits and self-similarity in precipitation fields[J].Water Resour Res,1985,21(8):1272-1281.
    [46] Foufpula-Georgou E,Gupta V V K,Waymire E.scaling considerations in the modeling of temporal rainfall[J].Water Resour Res,1984,20(11):1611-1619.
    [47] Love joy S,Schertzer D.Generalized scale invariance in the atmosphere and fractal models of rain[J].Water Resour Res,1985,21(8):1233-1256.
    [48] Keden B,Chiu L S.Are rain rate processes self-similar?[J].Water Resour Res,1987,23(10):1 816-1 818.
    [49] Zawadzki I.Fractal structure and exponential decorrelation in rain[J].J Geophys Res,1987,92(8):9586-9590.
    [50] Waymire E,Gupta V,Rodriguez-Iturbe I.A spectral theory of rainfall intensity at the meso-β scale[J].Water Resour Res,1984,20(10):1453-1465.
    [51] Kumar P,Foufpula-Georgou E.A Multicomponent decomposition of spatial rainfall fields 1.Segration of large-and small-scale features using wavelet transorms[J].Water Resour Res,1993,29(8):2515-2532.
    [52] Kumar P,Foufpula-Georgou E.A Multicomponent decomposition of spatial rainfall fields 2.Self-similarity in fluctuations[J].Water Resour Res,1993,29(8):2533-2544.
    [53] Koutsoyiannis D,Foufoula-Georgiou E.A scaling model of a storm hyetograph[J].Water Resour Res,1997,29(7):2345-2361.
    [54] Menabbde M,Seed A,Pegram G.A simple scaling model for extreme rainfall[J].Water Resource Res,1999,35(1):335-339.
    [55] 常福宣,丁晶,姚健.降雨随历时变化标度性质的探讨[J].长江流域资源与环境,2002,11(1):79-83.
    [56] Michele C D,Kottegoda N T,Rosso R,et al.The derivation of areal reduction facton of storm rainfall from its scaling properties[J].Water Resources Rescarch,2001,37(12):3 247-3 252.
    [57] Gupta V K,Waymire E.Multiscaling properties of spatial rainfall and river flow distributions[J].J Geophys Res,1990,95(3):1 999-2009.
    [58] Smith J A.Representation of basin scale in flood peak distributions[J].Water Resour Res,1992,28(1i):2993-2999.
    [59] Gupta V K,Mesa O J,Dawdy D R.Multiscaling theory of flood peaks:Regional quantile analysis[J].Water Resour Res,1994,30(12):3405-3421.
    [60] Dawdy D R,Gupta V K.Multiscaling and skew separation in regional floods[J].Water Resour Res,1995,31(11):2761-2767.
    [61] Ouarada,T B M J,Bobee B,Rasmussen P R,et al.Comment on "Multiscaling and skew separation in regional floods"[J].Water Resour Res,1997,33(1):271-272.
    [62] Bates B C,Rahman A,Mein R G,et al.Climated and physical factors that influence the homogeneity of regional floods in southeastern Australia[J].Water Resour Res,1998,34(12):3 369-3 381.
    [63] Robison J S,Sivapalan M.An investigation into the physical causes of scaling and heterogeneity of regional flood frequency[J].Water Resour Res,1997,33(5):1045-1059.
    [64] 常福宣,丁晶.关于大流域洪量历时关系的探讨[J].水利水电技术,2001,32(6):4-7.
    [65] 侯玉,吴伯贤,邓国权.分形理论用于洪水分期的初步探讨[J].水科学进展,1999,10(2):140-143.
    [66] 丁晶,刘国东.日径流过程分维估计[J].四川水力发电,1999,18(4):74-76.
    [67] 刘德平.分形理论在水文过程形态特征分析中的应用[J].水利学报,1998(2):20-25.
    [68] 傅军,丁晶,邓育仁.嘉陵江流域形态及流量过程分维研究[J].成都科技大学学报,1995(1):74-79.
    [69] 李贤彬.子波分析及其在水文水资源研究中的应用[D].成都:四川大学,1999.9-98.
    [70] Mesa O J,Poveda G.The Hurst effect:the scale of fluctuation approach[J].Water Resour Res,1993,29(12):3 995-4 002.
    [71] Anderson P L,Meerschaert M M.Modeling river flows with heavy tails[J].Water Resour Res,1998,34(9):2271-2280.
    [72] Tokinaga S,Moriyasu H,Miyazaki A,et al.Forecasting of time series with fractal geometry by using scale transformations and parameter estimations obtained by the wavelet transform[J].Electronics and Communications in Japan,Part 3,1997,80(9):2 054-2 062.
    [73] 常福宣.分形理论在水文水资源研究中的应用[D].成都:四川大学,2001.40-45.
    [74] 冯平,王仁超.水文干旱的时间分形特征探讨[J].水利水电技术,1997,28(11):48-51.
    [75] 冯利华,许晓路.金衢盆地旱涝统计特征初步分析[J].水科学进展,1999,10(1):84-88.
    [76] Tchiguirinskaia I,Lu S,Molz F J,et al.Multfractal versus monofrctal analysis of wetland topography[J].Stochastic Environmental Research and Rish Assessment,2000,14(1):8-32.
    [77] Liu H H,Molz F J.Multifractal analyses of hydraulic conductivity distributions[J].Water Resour Res,,1997,33(11):2483-3488.
    [78] Lovejoy S,Schertzer D,Silas P.Diffusion in one-dimensional multifractal porous media[J].Water Resour Res,1998,34(12):3 283-3291.
    [79] 徐永福,田美存.土的分形微结构[J].水利水电科技进展,1996,16(1):25-29.
    [80] 徐永福,孙婉莹,吴正根.我国膨胀土的分形结构的研究[J].河海大学学报,1997,25(1):18-23.
    [81] Loague K,Kyriakidis.Spatial and temporal variability in the R-5 infiltration data set:rainfall-runoff simulations[J].Water Resour Res,1997,33(12):2 883-2895.
    [82] Grayson R B,Western A W,Chiew F H S.Preferred states in spatial soil moisture patterns:local and nonlocal controls[J].Water Resour Res,1997,33(12):2897-2908.
    [83] Merz B,Plate E J.An analysis of the effects of spatial variability of soil moisture on runoff[J].Water Resour Res,1997,33(12):2909-2922.
    [84] Dooge J C I,Bruen M.Scale effects on moisture fluxes at unvegetated land surfaces[J].Water Resour Res,1997,33(12):2923-2927.
  • [1] 钟亮, 许光祥, 曾锋.  沙粒当量粗糙度的分形表达 . 水科学进展, 2013, 24(1): 111-117.
    [2] 沈中原, 李占斌, 李鹏, 鲁克新.  流域地貌形态特征多重分形算法研究 . 水科学进展, 2009, 20(3): 385-391.
    [3] 朱磊, 周清, 王康, 杨金忠.  基于多重分形理论的土壤水非均匀流动分析 . 水科学进展, 2009, 20(3): 392-397.
    [4] 牛志广, 陆仁强, 王晨婉.  天津市近海水质预测方法研究 . 水科学进展, 2009, 20(2): 222-226.
    [5] 谢先红, 崔远来, 蔡学良.  灌区塘堰分布分形描述 . 水科学进展, 2007, 18(6): 858-863.
    [6] 陈华, 郭生练, 熊立华, 徐高洪, 李订芳.  面向对象的GIS水文水资源数据模型设计与实现 . 水科学进展, 2005, 16(4): 556-563.
    [7] 李云开, 杨培岭, 任树梅, 罗远培.  土壤水分与溶质运移机制的分形理论研究进展 . 水科学进展, 2005, 16(6): 892-899.
    [8] 王康, 张仁铎, 王富庆.  基于连续分形理论的土壤非饱和水力传导度的研究 . 水科学进展, 2004, 15(2): 206-210.
    [9] 邓铭江, 郭春红.  干旱区内陆河流域水文与水资源问题 . 水科学进展, 2004, 15(6): 819-823.
    [10] 刘晓丽, 梁冰, 薛强.  多孔介质渗透率的分形描述 . 水科学进展, 2003, 14(6): 769-773.
    [11] 刘建立, 徐绍辉, 刘慧, 郭飞.  确定田间土壤水力传导率的分形方法 . 水科学进展, 2003, 14(4): 464-470.
    [12] 黄冠华, 詹卫华.  土壤水分特性曲线的分形模拟 . 水科学进展, 2002, 13(1): 55-60.
    [13] 王文圣, 丁晶, 向红莲.  小波分析在水文学中的应用研究及展望 . 水科学进展, 2002, 13(4): 515-520.
    [14] 杨建强, 罗先香.  MATLAB软件工具箱简介 . 水科学进展, 2001, 12(2): 237-242.
    [15] 张翔, 丁晶.  神经智能信息处理系统的研究现状及其在水文水资源中的应用展望 . 水科学进展, 2000, 11(1): 105-110.
    [16] 侯玉, 吴伯贤, 郑国权.  分形理论用于洪水分期的初步探讨 . 水科学进展, 1999, 10(2): 140-143.
    [17] 汤一波, 金忠青.  脉动压力的紊流分形特征 . 水科学进展, 1998, 9(4): 361-366.
    [18] 刘春蓁.  气候变化对我国水文水资源的可能影响 . 水科学进展, 1997, 8(3): 220-225.
    [19] 张建云, A. Dowley, M. Bruen.  地理信息系统及其在水文水资源中的应用 . 水科学进展, 1995, 6(4): 290-296.
    [20] 刘国纬.  纪念泥沙专家方宗岱先生 . 水科学进展, 1994, 5(4): 333-334.
  • 加载中
WeChat 点击查看大图
计量
  • 文章访问数:  16
  • HTML全文浏览量:  6
  • PDF下载量:  543
  • 被引次数: 0
出版历程
  • 收稿日期:  2003-11-25
  • 修回日期:  2004-03-20
  • 刊出日期:  2005-01-25

分形理论在水文水资源中的应用

  • 1. 四川大学水电学院, 四川, 成都, 610065;
  • 2. 长江科学院, 湖北, 武汉, 430010;
  • 3. 北京市水利科学研究所, 北京, 100044
    • 基金项目:  国家自然科学基金资助项目(40271024;50249024;50239050)
    作者简介:

    张少文(1960- ),男,河南郑州人,高级工程师,博士研究生,主要从事水利水电工程的规划与设计工作.E-mail:zsw.scu2002@126.com;zsw.scu2002@163.com

  • 收稿日期: 2003-11-25
  • 修回日期: 2004-03-20
  • 刊出日期: 2005-01-25

  • 中图分类号: P343;S152.7;TV211

摘要: 较系统地论述了分形理论在水文水资源中的应用.主要包括:水系河网结构和流域地形地貌及其演变,河床表面形态,降水时空分布,洪水时空变化,径流过程和土壤水下渗等.概括了当前在应用中的特点:活跃思想和方法创新,同时指出值得注意的问题:在大量资料基础上进行深入分析和充分论证.

English Abstract

张少文, 王文圣, 丁晶, 常福宣. 分形理论在水文水资源中的应用[J]. 水科学进展, 2005, 16(1): 141-146.
引用本文: 张少文, 王文圣, 丁晶, 常福宣. 分形理论在水文水资源中的应用[J]. 水科学进展, 2005, 16(1): 141-146.
shu
ZHANG Shao-wen, WANG Wen-sheng, DING Jing, CHANG Fu-xuan. Application of fractal theory to hydrology and water resources[J]. Advances in Water Science, 2005, 16(1): 141-146.
Citation: ZHANG Shao-wen, WANG Wen-sheng, DING Jing, CHANG Fu-xuan. Application of fractal theory to hydrology and water resources[J]. Advances in Water Science, 2005, 16(1): 141-146.
shu

    全文HTML

参考文献 (84)

目录

    /

    返回文章
    返回

    版权所有 © 《水科学进展》杂志社

    主办：南京水利科学研究院、中国水利学会 地址：南京市虎踞关34号邮政编码：210024

    电话：025-85829770电子邮箱：skxjz@nhri.cn

    本系统由 北京仁和汇智信息技术有限公司 开发    百度统计