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首页> 外文期刊>Earth and Planetary Science Letters: A Letter Journal Devoted to the Development in Time of the Earth and Planetary System >Truncated fractal frequency distribution of element abundance data: A dynamic model for the metasomatic enrichment of base and precious metals
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Truncated fractal frequency distribution of element abundance data: A dynamic model for the metasomatic enrichment of base and precious metals

机译：元素丰度数据的截断分形频率分布：贱金属和贵金属的交代富集动力学模型

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摘要

The frequency distributions of elements in rocks and ore deposits do not conform to a universal scaling law, but vary in dependence of the mechanism of element enrichment. In the present contribution a dynamic model is proposed that describes element enrichments taking place by metasomatic processes causing the formation of hydrothermal ore deposits. It is shown that metasomatic element enrichment can result in a fractal distribution of element abundance data in the low concentration region with a smooth truncation at higher concentration values due to the existence of physical upper concentration limits imposed by the mineralogical nature of the ore. The developed model is tested on the basis of base and precious metal concentration data determined on diamond drill core samples collected from the Waterloo massive sulfide deposit, Australia. It is shown that the frequency distributions of Zn, Pb, Cu, and Ag conform relatively well to truncated power-law relationships as predicted by the model. In contrast, the frequency distribution of the An data was found to be better described by the log-normal law, presumably due to syn-genetic processes of element redistribution that have not been modeled by the proposed dynamic model. (c) 2005 Elsevier B.V. All rights reserved.
机译：岩石和矿床中元素的频率分布不符合普遍的比例定律，而是根据元素富集机制而变化。在本发明中，提出了一种动态模型，该模型描述了由交代过程引起的形成热液矿床的元素富集。结果表明，由于矿石的矿物学性质造成的物理上限浓度的存在，交代元素富集可以导致元素丰度数据在低浓度区域的分形分布，在较高的浓度值处具有平滑的截断。根据从澳大利亚滑铁卢块状硫化物矿床收集的金刚石钻芯样品确定的贱金属和贵金属浓度数据，对开发的模型进行了测试。结果表明，Zn，Pb，Cu和Ag的频率分布与模型所预测的截断幂律关系相对较好。相反，发现对数正态定律可以更好地描述An数据的频率分布，这大概是由于元素重新分布的同生过程尚未被提出的动态模型建模所致。 （c）2005 Elsevier B.V.保留所有权利。

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