吉林大学学报(地球科学版) ›› 2019, Vol. 49 ›› Issue (5): 1496-1506.doi: 10.13278/j.cnki.jjuese.20180207

• 地球探测与信息技术 • 上一篇    

基于二维地质剖面的三维地质结构多点统计学模拟方法

郑天成1,2, 侯卫生1,2, 何思彤1,2   

  1. 1. 中山大学地球科学与工程学院, 广州 510275;
    2. 广东省地球动力作用与地质灾害重点实验室, 广州 510275
  • 收稿日期:2018-09-29 发布日期:2019-10-10
  • 通讯作者: 侯卫生(1976-),男,副教授,博士生导师,主要从事三维地质模拟及其不确定性分析、地球数据处理等方面的研究,E-mail:houwsh@mail.sysu.edu.cn E-mail:houwsh@mail.sysu.edu.cn
  • 作者简介:郑天成(1994-),男,硕士研究生,主要从事多点统计学三维地质建模方面的研究,E-mail:zhengtch@mail2.sysu.edu.cn
  • 基金资助:
    国家自然科学基金项目（41772345，41472300）

An MPS-Based Simulation Algorithm for 3D Geological Structure with 2D Cross-Sections

Zheng Tiancheng1,2, Hou Weisheng1,2, He Sitong1,2   

  1. 1. School of Earth Sciences and Engineering, Sun Yat-Sen University, Guangzhou 510275, China;
    2. Key Laboratory of Geodynamic Action and Geological Hazards of Guangdong, Guangzhou 510275, China
  • Received:2018-09-29 Published:2019-10-10
  • Supported by:
    Supported by National Natural Science Foundation of China (41772345, 41472300)

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摘要： 利用三维地质模拟技术重构地质现象的三维空间分布，是实现自然资源管理和风险评估的重要基础和前提。多点统计学方法通过探寻多点间的空间结构关系，结合随机模拟方法生成具有差异性的模拟结果，较好地再现了复杂的地质现象。然而，如何构建合适、有效的训练图像一直是基于多点统计学三维地质模拟的核心问题。本文提出了一种改进的多点统计学算法。本方法结合了序贯模拟和迭代的方法，将二维剖面扩展为三维训练图像，再结合EM-Like算法，实现了三维地质结构的优化模拟。建模实例结果表明，本方法能确保训练图像对内部模拟网格的约束，准确模拟研究区的地层层序，并很好地再现二维地质剖面所反映的地层结构关系。

关键词: 多点统计学, 三维地质结构, 二维地质剖面, 全局优化

Abstract: Reconstructing 3D spatial distribution of geological phenomena with 3D geological simulation techniques is essential for natural resource management and risk assessment. Based on the spatial structural relationship of multiple points,and combined with stochastic simulation techniques to create different results, multiple-point statistics (MPS) can be used to reconstruct complicated geological phenomena. However, how to build an appropriate and effective training image is the key problem in MPS-based 3D geological simulations. The authors present a modified MPS algorithm, which combines sequential simulation and iterative methods to extend 2D training images into 3D training images, and applies the EM-like algorithm to optimize the simulation of 3D geological structures. The modeling examples show that the simulation grids are conditional to the training images; on which the stratigraphic sequence of the study area is simulated accurately, and the relationship of stratigraphic structures in 2D cross-sections is effectively reconstructed.

Key words: multiple-point statistics, 3D geological structures, 2D geological cross-sections, global optimization

中图分类号: 

  • P628.2
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