TAS-PF: Extended TAS diagram powered with probability field of big data
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摘要:
大数据时代背景下，地学数据规模持续增长. 以TAS为代表的传统图解面临困境：一方面，有限图幅内投点过多导致可读性降低，无法呈现有效、直观的可视化效果；另一方面，原始数据陈旧的传统图解若引入新数据可能导致分类边界发生扰动，从而降低判别分类结果的稳定性，并难以兼容已有文献投图. 针对上述问题，本文首先继承前期研究为TAS图解所做的扩展，为经典图解中的各岩性标签构建基于空间位置的类别分区. 根据待分类数据投图位置与各类别分区的空间关系进行判别，并以数据表形式呈现分类结果，从而弥补数据规模增大带来的投图可读性降低. 另外，从GEOROC数据库中提取24万余条火成岩的主量元素数据，将其在TAS图解上进行可视化，并按岩性分类进行核密度分析. 基于分析结果在投图坐标范围内构建对应类别概率场，基于待分类数据在各概率场中所处位置信息计算概率，并对比不同岩性标签的概率结果. 基于概率场利用已知岩性标签数据判别待分类数据，补充传统分类边界模式，并提供更具有定量意义的判别结果.
Abstract:Under the background of big data, the continuous growth of geological data poses challenges to traditional discrimination diagrams represented by TAS: On one hand, the excessive data points within limited diagram space reduce readability and hinder effective visualization; On the other hand, the input of new data into traditional diagrams with outdated original data may lead to perturbation in classification boundaries, compromising the stability of discrimination results and compatibility with existing literature plots. To solve the above problems, this study first extends the previous research on TAS diagrams by constructing category partitions based on spatial positions for various lithology labels in classic diagrams. The discrimination is made then on the basis of spatial relationship between location of the data to be classified and category partitions, with results presented in data table to mitigate readability degradation caused by the increase of data volume. Besides, over 240 000 entries of major element data of igneous rocks are extracted from GEOROC database for TAS visualization and for kernel density analysis in terms of lithologic classification. The corresponding category probability field is constructed across the plotting coordinates based on the analysis results. The probability is calculated by the position of the data to be classified in each probability field, and the probability results of different lithologic labels are compared. Based on probability field, the known lithology label data are used to distinguish the data to be classified, supplement the traditional classification boundary model and form more quantitative discrimination results.
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Key words:
- TAS diagram /
- igneous rock /
- lithologic classification /
- discrimination diagram /
- big data /
- probability field
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表 1 GEOROC数据库中岩石类别样品数统计表
Table 1. Statistics of rock category samples in the GEOROC database
原文名称 中文翻译 样品数 原文名称 中文翻译 样品数 Basalt 玄武岩 79997 Trachydacite 粗面英安岩 771 Andesite 安山岩 44560 Phonotephrite 响质碱玄岩 587 Rhyolite 流纹岩 22358 Leucitite 白榴岩 580 Andesite_basaltic 玄武质安山岩 16046 Comendite 钠闪碱流岩 575 Tholeiite 拉斑玄武岩 13306 Benmoreite 歪长粗面岩 569 Dacite 英安岩 12977 Pantellerite 碱流岩 510 Trachyte 粗面岩 7003 Ankaramite 富辉橄玄岩 478 Basanite 碧玄岩 5520 Carbonatite 碳酸岩 412 Trachyandesite 粗面安山岩 5455 Melilitite 黄长岩 357 Phonolite 响岩 3912 Foidite 副长岩 273 Komatiite 科马提岩 3680 Oceanite 大洋岩 164 Trachybasalt 粗面玄武岩 3424 Trachyphonolite 粗面响岩 121 Kimberlite 金伯利岩 3001 Trachydolerite 粗面辉绿岩 35 Picrite 苦橄岩 2687 Dolerite 辉绿岩（常规拼写） 26 Hawaiite 夏威夷岩 2532 Ore 矿石 26 Nephelinite 霞石岩 1929 Trachybasanite 粗基碧玄岩 18 Rhyodacite 流纹英安岩 1725 Lamprophyre 煌斑岩 13 Tephrite 碱玄岩 1345 Diorite 闪长岩 9 Boninite 玻质古铜安山岩 1323 Granite 花岗岩 3 Latite 安粗岩 1186 Diabase 辉绿岩（北美拼写） 2 Shoshonite 钾质安粗岩 1138 Gabbro 辉长岩 2 Adakite 埃达克岩 1009 Peridotite 橄榄岩 2 Mugearite 钠质安粗岩 1003 Granodiorite 花岗闪长岩 1 Lamproite 钾镁煌斑岩 964 岩石中文名称翻译据文献[21]. 
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表 2 将文献数据投到概率场扩展的TAS图解后生成的部分判别结果展示表
Table 2. Discrimination results generated by the extended TAS diagram with probability field
概率场分类结果 概率 经典TAS分类结果 SiO2 K2O Na2O 数据来源 Rhyolite 0.74 Rhyolite 77.7 4.42 3.1 文献[24] Rhyolite 0.776 Rhyolite 77.58 4.86 3.5 文献[24] Rhyolite 0.772 Rhyolite 77.55 4.94 3.49 文献[24] Rhyolite 0.798 Rhyolite 77.38 5.68 2.86 文献[24] Rhyolite 0.872 Rhyolite 77.21 4.96 3.46 文献[24] Rhyolite 0.921 Rhyolite 77.12 4.25 3.67 文献[24] Rhyolite 0.821 Rhyolite 77.06 5.52 3.23 文献[24] Rhyolite 0.909 Rhyolite 76.98 5.18 2.51 文献[24] Rhyolite 0.849 Rhyolite 76.86 3.26 4.16 文献[24] Rhyolite 0.891 Rhyolite 76.32 5.1 3.79 文献[24] Rhyolite 0.993 Rhyolite 75.9 4.29 4.27 文献[24] Picrite 0.904 Basalt 48.17 0.72 1.88 文献[25] Basalt 1 Basalt 50.56 0.77 2.44 文献[25] Lamproite 0.775 Basalt 47.44 0.73 2.29 文献[25] Basalt 0.888 Basalt 49.15 1.38 2.59 文献[25] Basalt 0.734 Basalt 47.92 0.71 3.04 文献[25] Tholeiite 0.884 Basalt 50 0.45 2.13 文献[25] Basalt 0.821 Basalt 49.6 0.47 2.04 文献[25] Tholeiite 0.971 Basalt 50.4 0.5 2.38 文献[25] Tholeiite 1 Basalt 50.8 0.69 2.3 文献[25] Basalt 0.83 Basalt 48.5 1.16 2.61 文献[25] Basalt 0.943 Basalt 49.4 0.77 2.34 文献[25] 所用数据引自文献[3-7, 11-12, 24-25]，考虑篇幅等因素仅展示投图中的部分数据结果. 含量单位：%（质量分数）.
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https://doi.org/10.25625/2JETOAGEOROCdatabaseon , 2023-12-01. -
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