Constraints on mingling of crystal populations from off-center zoning profiles: A statistical approach
Constraints on mingling of crystal populations from off-center zoning profiles: A statistical approach
复制标题
对偏离中心分区剖面的晶体群混合的限制：统计方法
DOI：
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发表时间：
2004
期刊：
影响因子：
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通讯作者：
G. Bergantz
中科院分区：
文献类型：
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作者：
G. Wallace;G. Bergantz
单晶的主量元素、微量元素和同位素分析可以揭示岩浆系统热力学和力学行为的时间变化。此外，分区可用于基于晶体组之间的分区轮廓的相关性来定义共享共同环境的晶体群。然而，正如在岩石学薄切片中显而易见的那样，分区模式的比较由于偏离中心的晶体切片导致的几何失真而变得复杂。由于这些扭曲，随着几何非理想性程度的增加，晶体群的识别变得越来越困难。此外，由于分区剖面固有的复杂性，即使在理想的情况下，在确定什么程度的相关性是重要的方面也常常存在模糊性。因此，必须确定每种相关技术和一组自然剖面的显著性水平。我们评估标准相关性，基于小波的相关性（WBC），和配置文件规范化技术的有效性，旨在对抗非理想的影响，使用Monte Carlo实验相关的合成配置文件。实验结果表明，自适应配置文件规范化提供了更显着的相关性，从更少的配置文件比其他技术，这表明它至少是部分有效的抵消非理想的影响。
Abstract Major- and trace-element and isotopic analyses of single crystals can reveal temporal changes in the thermodynamic and mechanical behavior of magmatic systems. Additionally, zoning can be used to define crystal populations that have shared a common environment based on the correlation of zoning profiles among groups of crystals. However, as is evident in petrographic thin sections, comparison of zoning patterns is complicated by the geometric distortions resulting from crystal sections that are offcenter. Because of these distortions, identification of crystal populations becomes increasingly difficult with increasing degrees of geometric non-ideality. In addition, because of the inherent complexity of zoning profiles, often there is ambiguity in determining what level of correlation is significant, even for ideal cases. Consequently, significance levels must be determined for each correlation technique and set of natural profiles. We evaluate the effectiveness of standard correlation, wavelet-based correlation (WBC), and profile-normalization techniques designed to counter the effects of non-ideality using Monte Carlo experiments correlating synthetic profiles. Results from the experiments show that adaptive profile normalization provides more significant correlations from fewer profiles than other techniques indicating that it is at least partially effective in counteracting the effects of non-ideality.