Analysis of metamorphic reactions and mass transfer in open systems:

• Nishiyama Tadao

  Department of Earth and Environmental Science, Graduate School of Science and Technology, Kumamoto University

• Moribe Yosuke

  Department of Earth and Environmental Science, Graduate School of Science and Technology, Kumamoto University Shinwa Techno Co.Ltd.

• Mori Yasushi

  北九州市いのちのたび博物館

• Shigeno Miki

  北九州市いのちのたび博物館

• Yuguchi Takashi

  Department of Earth and Environmental Science, Yamagata University

Bibliographic Information

Other Title

• 開いた系における変成反応と物質移動の解析：
• 開いた系における変成反応と物質移動の解析 : 特異値分解法の新しい応用
• ヒライタ ケイ ニ オケル ヘンセイ ハンノウ ト ブッシツ イドウ ノ カイセキ : トクイチ ブンカイホウ ノ アタラシイ オウヨウ
• New application of the singular value decomposition method
• 特異値分解法の新しい応用

Abstract

This paper reviews the application of the singular value decomposition (SVD) method to the analysis of chemical reactions in a multicomponent system, emphasizing the power and generality of the SVD method. Furthermore a new development of application of the SVD method to the analysis of open-system reactions and mass transfer is shown, taking as an example a retrogressive reaction in an epidote glaucophanite in a serpentinite mélange from the Nishisonogi metamorphic rocks. The epidote glaucophanite occurs as a tectonic block surrounded by a selvage of metabasite in a serpentinite mélange, representing a retrogressive reaction during the exhumation. The original assemblage of the epidote glaucophanite is epidote + glaucophane + winchite + phengite + chlorite + albite, which is replaced by the assemblage of epidote + winchite/barroisite + phengite + chlorite + albite + K-feldspar in the selvage. K-felspar occurs with winchite in small amounts. Because the occurrence of K-feldspar in basic rocks of epidote-blueschist facies is conspicuous, the K-feldspar-forming reaction was assessed with the SVD method. No reaction forming K-feldspar was found in the closed system (i.e., the SiO₂–Al₂O₃–Fe₂O₃– FeO–MgO–CaO–Na₂O–K₂O system). Next, only one component was assumed to be mobile in the same system. An arbitrary choice of mobile component from the eight components did not give a correct K-feldspar-forming reaction that is consistent with the relative abundances of winchite and K-feldspar. Finally, mobile components and inert components were discriminated from the isocon diagram. In the case of an isocon defined by SiO₂, MgO and Na₂O, we found a total reaction by combining a K-feldspar-forming reaction and winchite-forming reaction that is consistent with the result of the isocon analysis such that Al₂O₃, CaO and K₂O are evolved from the system. Thus the SVD method, combined with the isocon analysis, is a powerful tool to derive the reaction relations in open systems.

Journal

• The Journal of the Geological Society of Japan

  The Journal of the Geological Society of Japan 123 (9), 717-731, 2017-09-15

  The Geological Society of Japan

Keywords

• singular value decomposition
• chemical reaction
• mass transfer
• open system

Details

• CRID: 1390001206241714048
• NII Article ID: 130006279048
• NII Book ID: AN00141768
• DOI: 10.5575/geosoc.2017.0021
• ISSN: 13499963
• ISSN: 00167630
• NDL BIB ID: 028603855
• Web Site: http://id.ndl.go.jp/bib/028603855
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I028603855
• Web Site: https://www.jstage.jst.go.jp/article/geosoc/123/9/123_2017.0021/_pdf
• Text Lang: ja
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed