Using Spatial Coherency of Crystal Zoning to Reveal Residence Time and Mixing Regimes in Calc-Alkaline Plutons

开放系统行为在岩浆系统中是普遍存在的，但与任何单一事件相关的混合时间和程度却知之甚少。这项工作的目标是开发和利用信息科学的新技术来提取新的数据结构，并将它们与多相混合的物理模型相结合，以揭示（部分）身体的物理历史。中心概念是晶体分区提供了一个非单调的，但渐进的时间序列。我们通过同时对数百甚至数千个样品的所有晶体分区模式进行空间统计反演，大大扩展了这一点。这不仅提供了由独特化学势的体积定义的最小化学事件数，它还允许人们估计粒子轨迹和系统部分的最小停留时间。一旦确定了预先化学势的假定体积（室中室），将对样品的一个子集进行同位素微钻。这将大大节省同位素分析的时间和精力，因为人们可以将精力集中在最感兴趣的样品上。分析工具的创新之处在于，它们结合了以下方面的最新进展：1)晶体化学同位素研究；2)信息技术和空间统计；3)多相模型，以一种以前从未应用于岩石学和火山学问题的组合方式。

BergantzEAR-0106441Open system behavior is ubiquitous in magmatic systems but the timing and extent of mixing associated with any single event is poorly understood. The objective of this work is to develop and employ novel technologies from information science to extract new structures of data and combine them with physical models of multiphase mixing to reveal (in part) the physical history of the body.The central concept is that crystal zoning provides for a non-monotonic, but progressive time-series. We significantly extend this by doing simultaneous spatial-statistical inversion of all crystal zoning patterns for hundreds, and perhaps thousands, of samples. This provides not only the minimum number of chemical events, defined by volumes of unique chemical potential, it also allows one to estimate particle trajectories and minimum residence times in portions of the system. Once putative volumes of prior chemical potential can be identified (chambers within chambers) isotopic microdrilling will be performed on a sub-set of the samples. This leads to a significant savings in time and effort in isotopic analysis as one can focus efforts on samples of most interest.The analysis tools are innovative in that they combine a number of recent advances in 1) crystal-chemical isotopic studies, 2) information technology and spatial statistics and, 3) multiphase modeling, in a combined way that has not been applied previously to problems in petrology and volcanology.