多重分形理论在环境科学领域的研究进展  

Application of Multifractal Theory in the Environmental Sciences

作　　者：周广柱[1,2] 王翠珍[2] 刘意章[1,3] 肖唐付[1] 

机构地区：[1]中国科学院地球化学研究所,环境地球化学国家重点实验室,贵阳550002 [2]山东科技大学化学与环境工程学院,青岛266590 [3]中国科学院大学,北京100049

出　　处：《矿物岩石地球化学通报》2013年第1期107-113,共7页Bulletin of Mineralogy, Petrology and Geochemistry

基　　金：山东省优秀中青年科学家科研奖励基金(BS2009HZ023);中国科学院知识创新工程重要方向项目(kzcx2-yw-135);中国博士后科学基金资助项目(20090451339);山东省高等学校优秀青年教师国内访问学者资助项目

摘　　要：分形理论是研究分形性质及其应用的科学,为人们认识自然界和社会活动中因无序而具有自相似性的系统提供了新的思想和方法。多重分形是分形理论的重要发展。近三十年来,多重分形在环境科学研究中取得进展,例如在提取环境地球化学异常下限值、环境污染物的空间分布模式、环境污染指标随时间演变特征、污染物溯源等方面的取得了很多成果。多重分形谱计算、浓度-面积(C-A)模型等在环境科学研究中起着重要作用。已经取得的研究成果表明,多重分形理论已经成为环境科学研究中一种重要理论,非常值得环境科技工作者进一步学习、研究和应用。Fractals are mathematical sets that can have dimensions that fall between the integers. Fractal patterns with varying degrees of self-similarity have many practical applications and have been rendered or studied in many scientific researches. As a generalization of a fractal system, the multifractal system employs a continuous spec- trum of exponents to describe complex phenomena. In recent 30 years, multifarious applications of the mutlifractal theory are found in environmental researches and many achievements have been obtained, such as extracting the lower limit of the environmental geochemical anomaly, describing the spatial distribution patterns of the environ- mental pollution, recognizing the evolution characteristics of the environment pollution index, tracing pollutants： and so on. Some important multifractal algorithm methods,such as the multifractal spectrum calculation, the con- centration-area fractal model, have been introduced. Achievements have proved that the mutifractal theory becomes one of the most important theories in environmental science, and that the mutifractal theory should be further stud- ied and applied by environment researchers.

关 键 词：多重分形理论 环境污染 算法 

分 类 号：X11[环境科学与工程—环境科学]