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基于信息熵与多重分形理论的非均匀流动分析
引用本文:朱磊,杨金忠,王康,周清. 基于信息熵与多重分形理论的非均匀流动分析[J]. 地球科学, 2009, 34(6): 1037-1042
作者姓名:朱磊  杨金忠  王康  周清
作者单位:武汉大学水资源与水电工程科学国家重点实验室,湖北武汉,430072;河海大学南方地区高效灌排与农业水土环境教育部重点实验室,江苏南京,210098
基金项目:国家自然科学基金项目(Nos.50639040,50609019); 国家“973”计划课题(No.2006CB403404)
摘    要:
根据粘土和壤土中非均匀水流运动的示踪试验, 研究了土壤水非均匀流动模式, 并基于信息熵与多重分形理论探讨了多孔介质中流动的非均匀性质.不同土质试验研究的分析结果表明, 各深度信息熵与特征长度具有相反的变化趋势.非均匀流动多重分形特性分析表明, 非均匀流动分布具有很强的自相似性, 但并不是在所有研究尺度范围内都满足标度不变性, 在显色比例相近的情况下, 壤土和粘土中水流运动标度不变性的范围表现出显著的差异. 

关 键 词:非均匀流动  信息熵  多重分形  信息维数  环境工程.
收稿时间:2008-12-15

Analysis of Heterogeneous Soil Water Using Information Entropy and Multifractal Theory
ZHU Lei,YANG Jin-zhong,WANG Kang,ZHOU Qing.State Key Laboratory of Water Resources , Hydropower Engineering Sciences,Wuhan University,Wuhan,China.Key Laboratory of Efficiency Irrigation-Drainage , Agricultural Soil-Water Environment in Southern China of Ministry of Education,Hohai University,Nanjing,China. Analysis of Heterogeneous Soil Water Using Information Entropy and Multifractal Theory[J]. Earth Science-Journal of China University of Geosciences, 2009, 34(6): 1037-1042
Authors:ZHU Lei  YANG Jin-zhong  WANG Kang  ZHOU Qing.State Key Laboratory of Water Resources    Hydropower Engineering Sciences  Wuhan University  Wuhan  China.Key Laboratory of Efficiency Irrigation-Drainage    Agricultural Soil-Water Environment in Southern China of Ministry of Education  Hohai University  Nanjing  China
Affiliation:ZHU Lei1,2,YANG Jin-zhong1,WANG Kang1,ZHOU Qing11.State Key Laboratory of Water Resources and Hydropower Engineering Sciences,Wuhan University,Wuhan430072,China2.Key Laboratory of Efficiency Irrigation-Drainage and Agricultural Soil-Water Environment in Southern China of Ministry of Education,Hohai University,Nanjing210098,China
Abstract:
The major objective of this study is to investigate the heterogeneity of soil water flow. Field experiments were performed in loam and clay soil and an iodine-starch staining method was applied to visualize flow paths in the soil. Heterogeneous flow patterns were described by using information entropy and multifractal theory. Results show that information entropy increases with decreasingly characteristic length,which is a scale used to characterize flow stained patterns. The soil flow heterogeneity is simi...
Keywords:heterogeneous flow  information entropy  multifractal  information dimension  environmental engineering.  
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