A Study of Weathering and Classification Patterns of Glass Artifacts

Lingyue Li, Hongyu Zhuo
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Abstract

Background: Ancient glass is very susceptible to the influence of the buried environment and weathering, in the weathering process, the internal elements of the glass and environmental elements for a large number of exchanges, resulting in a change in the proportion of its composition and thus affecting the correct judgment of its category.This paper discusses the identification of ancient glass artifacts (high-potassium glass and lead-barium glass) in relation to the effects of weathering, the statistics and patterns of content, and the study of issues related to the classification of types. Methods: The data were obtained from the data set of Question C of the 2022 Gaoxueshe Cup National University Student Mathematical Modeling Competition. After eliminating the invalid data, analytical methods such as association rule analysis, factor analysis, cluster analysis, and algorithms such as Apriori and K-means++ were used for problem solving. Results: A total of 56 glass artifacts and 56 artifact sampling sites were included in the study, and the main findings were as follows: the relationship between the weathering of the surface of glass objects and their glass type, decoration, and color under the two-, three-, and four-correlation rules; the classification of glass objects into high-potassium or lead-barium glass based on the five compositional categories (SiO2, PbO, CaO, Fe2O3, and K2O); and the clustered dendrograms. The most homogeneous classification of high-potassium or lead-barium glass into each of the three subcategories was based on magnesium oxide and aluminum oxide, whose content varied considerably before and after the weathering process; and finally, changes in the chemical compositional correlation between the different categories were also analyzed. Conclusion: Solved the problems related to the identification of the composition of this batch of ancient glass artifacts in relation to the effects of weathering, the statistics and patterns of the content, and the classification of the types.
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玻璃制品风化和分类模式研究
背景:古代玻璃极易受到埋藏环境和风化的影响,在风化过程中,玻璃内部元素与环境要素进行大量交换,导致其成分比例发生变化,从而影响对其类别的正确判断。本文就古代玻璃器物(高钾玻璃和铅钡玻璃)风化影响的鉴定、含量的统计与规律、类型划分的相关问题研究等方面进行探讨。 研究方法数据来源于 2022 年 "高雪社杯 "全国大学生数学建模竞赛 C 题数据集。剔除无效数据后,采用关联规则分析、因子分析、聚类分析等分析方法,以及Apriori、K-means++等算法进行问题求解。 结果:研究共纳入 56 件玻璃器物和 56 个器物取样点,主要发现如下:在二相关、三相关和四相关规则下,玻璃器物表面的风化与其玻璃类型、装饰和颜色之间的关系;根据五种成分类别(SiO2、PbO、CaO、Fe2O3 和 K2O)将玻璃器物分为高钾玻璃和铅钡玻璃;聚类树枝图。根据氧化镁和氧化铝将高钾玻璃或铅钡玻璃分别归入三个亚类中,其中氧化镁和氧化铝的含量在风化过程前后变化很大,因此高钾玻璃或铅钡玻璃的分类最为一致;最后,还分析了不同类别之间化学成分相关性的变化。 结论解决了这批古代玻璃器的成分鉴定与风化影响、含量统计与规律、类型划分等相关问题。
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