基于隐函数曲面的三维断层网络建模与不确定性分析  

Three-dimensional fault-network modeling and uncertainty analysis based on implicit function surface

作　　者：邹艳红[1,2] 李高智 毛先成[1,2] 陈玉婷 ZOU Yanhong;LI Gaozhi;MAO Xiancheng;CHEN Yuting(Key Laboratory of Metallocenic Prediction of Nonferrous Metals and Geological Environment Monitoring,Ministry of Education,Central South University,Changsha,410083;School of Geosciences and Info-Physics,Central Soulh University,Changsha,410083)

机构地区：[1]中南大学有色金属成矿预测与地质环境监测教育部重点实验室,长沙410083 [2]中南大学地球科学与信息物理学院,长沙410083

出　　处：《地质论评》2020年第5期1349-1360,共12页Geological Review

基　　金：国家重点研发计划课题(编号:2019YFC1805905,2017YFC0601503);国家自然科学基金资助项目(编号:41872249,41472302)的成果。

摘　　要：针对地质环境中不同断层构造出现交叉、削截等现象而构成的复杂断层网络,本文基于隐函数曲面重建提出了一种三维断层网络隐式建模方法。该方法首先以径向基隐函数曲面重建理论为基础,基于地质剖面图中断层轮廓线数据以及断层产状信息隐式构建三维断层面模型;然后使用二叉树结构描述不同断层间的空间拓扑关系构建断层网络模型;最后,考虑断层建模中产状信息估计的不确定性,定义了断层面法向量概率分布模型,采用信息熵指标定量评价断层模型质量。以贵州水银洞金矿床为实例矿床,选定包含多条断层的区域作为试验区,采用该方法构建了实例三维断层网络模型,结果表明,基于隐函数曲面的三维断层网络建模方法能快速构建区域内多条断层的三维断层网络模型和拓扑结构,有助于复杂断层网络快速建模和三维形态分析,为断层构造定量研究提供基础。Objectives:In allusion to the problem modeling complex fracture structures with crossover and truncation of different faults in the geological environment,we developed a new three-dimensional fault network modeling method by implicit function surface reconstruction.Methods:Firstly,based on the Radial Basis Function(RBF)surface,the three-dimensional fault surface model was implicitly constructed from the fault contour data and attitude information in the sequential geological profiles.Then the binary tree data structure is designed to describe the spatial topological relationship between the different faults and the fault-network model was generated.Finally,considering the uncertainty of fault attitudes information,we defined a probability distribution model for the fault normal vector information,and calculated the information entropy to quantitatively evaluate the quality of the fault-network model.Results:Taking the Shuiyindong gold deposit in Guizhou as the example deposit,we selected the experimental area containing multiple faults and constructed the practical three-dimensional fault network models.The information entropy of the model was calculated and its uncertainty analysis and quantitative evaluation were carried out.Conclusions:The three-dimensional fault-network modeling method can configure the spatial topological structure clearly and construct the 3 D fault-network model quickly.The fault-network model is helpful for threedimensional morphological analysis for the complex fracture structures in the quantitative research.

关 键 词：隐式曲面 断层二叉树 三维断层网络模型 不确定性 信息熵 

分 类 号：P542[天文地球—构造地质学]