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中文摘要：
为了解地球化学元素在岩石等介质中的局部富集和贫化规律,采用多重分形和地质统计学方法来分析其空间自相关性及奇异性,多重分形方法通过多重分形模型来刻画,地质统计学方法通过变异函数来实现。应用这两种方法处理粤北刘家山地区1∶5万水系沉积物地球化学各元素数据表明,地球化学数据的局部奇异性在该区可反映铅锌铜矿化蚀变带等局部成矿有利部位。为进一步研究异常与奇异性区的关系采用分形滤波技术（S-A法）对该区成矿主元素Pb、Zn进行分析,发现由S-A法分解得到的异常区与奇异性区一致,并且得出由S-A法分解的异常具有局部奇异性的结论。研究区内具有明显奇异性的地区也即元素富集区域是铅锌矿异常区域,它们与铅锌矿成矿作用和已知矿床的赋存密切相关,这也为该地区元素的成矿潜力评价提供了重要的线索。
英文摘要：
In order to understand the regularity of enrichment and dispersion of geochemical elements in rocks and other media,this paper uses multifractal and geostatistic methods to analyze their spatial association and singularity;the multifractal method can be carried out in multifractal modeling;and the geostatistics can be applied using variogram.The paper uses these two methods to analyze 1∶50000 drainage sediment geochemical data;the case study introduced in the current paper indicates that the local singularity in this area can reflect the alteration or other favorable location for mineralization.In order to make a further study about the relationship between anomaly and singularity,spectrum-area method is used to analyze the main ore-forming elements Pb and Zn;it indicated that the abnormal area obtained from S-A is in accordance with the singularity area,and that the abnormal has the characteristics of a local singularity.The study area with singularities is an enrichment area that contains lead zinc-copper anomaly;the singularities are related to the mineralization and the occurrence of known deposits,which provide important clues for mine potential evaluation.
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