Acta Scientiarum Naturalium Universitatis Pekinensis ›› 2025, Vol. 61 ›› Issue (6): 1201-1217.DOI: 10.13209/j.0479-8023.2025.021

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Application of Bayesian Method in Geology and Geochemistry

QIAN Hang1, ZHANG Nan1,†, TIAN Meng2   

  1. 1. Key Laboratory of Orogenic Belt and Crustal Evolution (MOE), School of Earth and Space Sciences, Peking University, Beijing 100871 2. University Observatory Munich, Faculty of Physics, Ludwig-Maximilians-Universität München, Munich 81679
  • Received:2024-11-11 Revised:2025-01-15 Online:2025-11-20 Published:2025-11-20
  • Contact: ZHANG Nan, E-mail: nan_zhang(at)pku.edu.cn

贝叶斯方法在地质学和地球化学中的应用

钱航1, 张南1,†, 田猛2   

  1. 1. 造山带与地壳演化教育部重点实验室, 北京大学地球与空间科学学院, 北京 100871 2. University Observatory Munich, Faculty of Physics, Ludwig-Maximilians-Universität München, Munich 81679
  • 通讯作者: 张南, E-mail: nan_zhang(at)pku.edu.cn
  • 基金资助:
    国家自然科学基金(92155204)资助

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Abstract:

The introduction to Bayesian methods is presented from the perspective of inversion modeling, outlining the fundamental principles, computational techniques, development history, and current research status. Various methods and their applications across different fields of geology and geochemistry are analysed in detail. Finally, the future development directions and challenges are discussed.

Key words: Bayesian method, model inversion, stochastic simulation, prior probability, posterior probability; likelihood

摘要：

从反演模型的角度, 阐述贝叶斯方法的基本原理、计算手段、发展历程和研究现状。详细介绍各种贝叶斯方法及其在地质学与地球化学各领域的应用, 并探讨未来发展方向以及需要解决的难点。

关键词: 贝叶斯方法, 模型反演, 随机模拟, 先验概率, 后验概率, 似然函数

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