基于Monte Carlo模拟的三维剖面地质界线不确定性分析

doi:10.13278/j.cnki.jjuese.201703306

吉林大学学报(地球科学版) ›› 2017, Vol. 47 ›› Issue (3): 925-932.doi: 10.13278/j.cnki.jjuese.201703306

基于Monte Carlo模拟的三维剖面地质界线不确定性分析

侯卫生^1,2, 杨翘楚^1,2, 杨亮^1,2, 崔婵婕^1,2

1. 中山大学地球科学与工程学院, 广州 510275;
2. 广东省地质过程与矿产资源探查重点实验室, 广州 510275

收稿日期:2016-08-02 出版日期:2017-05-26 发布日期:2017-05-26
作者简介:侯卫生(1976-),男,副教授,博士,主要从事三维地质模拟研究,E-mail:houwsh@mail.sysu.edu.cn
基金资助:
国家自然科学基金项目（41102207，41472300）；中央高校基本科研业务费专项资金项目（12lgpy19）；教育部高等学校博士学科点专项科研基金项目（20100171120001）

Uncertainty Analysis of Geological Boundaries in 3D Cross-Section Based on Monte Carlo Simulation

Hou Weisheng^1,2, Yang Qiaochu^1,2, Yang Liang^1,2, Cui Chanjie^1,2

1. School of Earth Science and Engineering, Sun Yat-sen University, Guangzhou 510275, China;
2. Guangdong Provincial Key Laboratory of Mineral Resource Exploration & Geological Processes, Guangzhou 510275, China

Received:2016-08-02 Online:2017-05-26 Published:2017-05-26
Supported by:
Supported by the National Natural Science Foundation of China (41102207, 41472300), the Fundamental Research Funds for the Central Universities (12lgpy19) and the Specialized Research Fund for the Doctoral Program of Higher Education of China (20100171120001)

摘要/Abstract

摘要： 三维剖面地质界线是构建三维地质结构模型的重要基础数据，其不确定性会影响三维模型的几何形态和属性分布。以单一分布为假设前提的统计学不确定性分析方法掩盖了其他概率分布特征对模型的影响。突破单一误差分布条件的假设前提，本文使用Monte Carlo方法模拟了不同概率分布情况下地质剖面数据中地质界线的抽样采集，以及地质界线空间分布的不确定性；依托地质界线空间位置与地质属性的耦合关系，提出了用地质属性概率分布实现地质界线空间不确定性的定量可视化，并结合实际地质剖面探讨了多种概率分布条件下地质界线的空间不确定性。实例研究表明，基于Monte Carlo模拟的不确定性分析方法可以突破单一误差分布假设条件，结合地质属性概率可充分揭示出建模数据的内在不确定性与模型外在要素形态之间的耦合关系。

关键词: 不确定性分析, Monte Carlo模拟, 地质界线, 地质属性概率, 三维地质剖面

Abstract: Geological boundaries in 3D cross-sections are important data for constructing 3D geological models, and their uncertainties will affect the geometry and attributes distribution in final models. The approaches based on the assumption of single error distribution for uncertainty analysis cover up other characteristics caused by other different error distributions. To break the single error distribution assumptions, based on the Monte Carlo simulation method, this paper simulated the sampling acquisition with different error probability distributions and spatial uncertainty of geological boundaries in 3D geological cross-section. Based on the coupling relationship between spatial position and geological attributes, a term of "geological attribute probability" was proposed to quantitatively visualize uncertainty of geological boundaries. Combined with concrete geological cross-section, this paper discussed the spatial uncertainty distribution of geological boundaries that followed multiple error probability distribution functions. The concrete example shows that the presented approach can overcome the defects of single error distribution assumption. Combined with the geological attribute probability, the approach can also reveal the coupling relationship between inner uncertainties existed in modeling input data and feature shape of models.

Key words: uncertainty analysis, Monte Carlo simulation, geological boundaries, geological attribute probability, 3D geological cross-section

中图分类号:

P628.1

侯卫生, 杨翘楚, 杨亮, 崔婵婕. 基于Monte Carlo模拟的三维剖面地质界线不确定性分析[J]. 吉林大学学报(地球科学版), 2017, 47(3): 925-932.

Hou Weisheng, Yang Qiaochu, Yang Liang, Cui Chanjie. Uncertainty Analysis of Geological Boundaries in 3D Cross-Section Based on Monte Carlo Simulation[J]. Journal of Jilin University(Earth Science Edition), 2017, 47(3): 925-932.

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基于Monte Carlo模拟的三维剖面地质界线不确定性分析

Uncertainty Analysis of Geological Boundaries in 3D Cross-Section Based on Monte Carlo Simulation

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