石油与天然气地质 ›› 2014, Vol. 35 ›› Issue (1): 148-152.doi: 10.11743/ogg20140119

• 技术方法 • 上一篇    下一篇

基于体视学技术的二维数据模拟三维裂隙网络

倪春中1, 刘春学2, 张世涛1, 李爱敏3, 李雨健1, 苍宝海4, 刘雷5   

  1. 1. 昆明理工大学 国土资源工程学院, 云南 昆明 650093;
    2. 云南财经大学 城市与环境学院, 云南 昆明 650221;
    3. 云南锡业集团有限责任公司, 云南 个旧 661021;
    4. 中国石油 辽河油田分公司 特种油开发公司, 辽宁 盘锦 124010;
    5. 中国地震局 地震预测研究所, 北京 100038
  • 收稿日期:2013-07-02 修回日期:2013-12-01 出版日期:2014-02-08 发布日期:2014-03-26
  • 作者简介:倪春中(1979—),男,博士、讲师,构造地质学。
  • 基金资助:
    国家自然科学基金项目(40902058);云南省应用基础研究计划项目(2013FZ026);云南省教育厅科学研究基金项目(2011Y363)。

Stereology-based simulation of 3D fracture network with 2D data

Ni Chunzhong1, Liu Chunxue2, Zhang Shitao1, Li Aimin3, Li Yujian1, Cang Baohai4, Liu Lei5   

  1. 1. Engineering Institute of Land and Resources, Kunming University of Science and Technology, Kunming, Yunnan 650093, China;
    2. School of Urban and Environment, Yunnan University of Finance and Economics, Kunming, Yunnan 650221, China;
    3. Yunnan Tin Group Co. Ltd., Gejiu, Yunnan 661021, China;
    4. Special Oil Development Company, PetroChina Liaohe Oilfield Company, Panjin, Liaoning 124010, China;
    5. Institute of Earthquake Prediction, China Seismological Bureau, Beijing 100038, China
  • Received:2013-07-02 Revised:2013-12-01 Online:2014-02-08 Published:2014-03-26

摘要: 通过野外系统采集岩石定向标本,对样品进行CT扫描,根据图像提取裂隙的长度、宽度以及密度等属性信息,对于确定岩石三维裂隙网络参数具有重要的作用。根据迹线分布与裂隙网络分布均服从幂率分布的规律,对采集迹线数据进行统计分析,应用体视学技术的方法将二维图像中的裂隙延展及其连接等数据反演到三维空间,推断出三维空间中裂隙长度和密度分布,实现岩石裂隙属性从二维到三维空间的转换。通过个旧锡矿高松矿田岩石CT扫描图像迹线分析,提取的最大迹线长度为64.1 mm,最小为2.2 mm,平均值为16.69 mm,方差为12.33 mm。在将裂隙分成9组基础上,求得各组直径概率分布,对提取的迹线数据在分形维数α分别为1.5和2.5时进行模拟,得到裂隙直径平均值φ为27.60 mm,裂隙网络密度0.30条/cm3。通过高松矿田岩石样品中裂隙迹线小尺度观察,计算得到裂隙的直径和裂隙网络密度,对于其他矿山运用仅有的二维数据推求三维岩石裂隙网络的属性具有借鉴意义。

关键词: CT扫描, 体视学, 裂隙网络, 岩石裂隙, 个旧锡矿

Abstract: Various attribute information of fissures such as length,width and density can be extracted from CT scanning images of oriented rock samples that are systematically collected through field work.These information can play a important role in defining spatial distribution of fissure networks within rocks.Both trace distribution and fissure network distribution follow the power-law distribution,thus statistical analysis can be performed on the field-collected trace data.The extension length and interlink of fissures on 2D images can be inversed to 3D space by applying stereological techniques,so as to deduce 3D fissure length and density distribution and realize conversion of rock fissure attributes from 2D to 3D.This approach was applied in Gaosong ore field.Based on analysis of the traces on the CT scanning images,we obtained the maximum trace length of 64.1 mm,the minimum of 2.2 mm,a mean of 16.69 mm and a variance of 12.33 mm.The fissures were divided into 9 groups,and the probability distribution of diameters of each group was obtained.Simulation was performed on the extracted trace data when the fractal dimension(α)is 1.5 and 2.5 respectively.The mean of fissure diameter was 27.60 mm,and fracture network density was 0.30/cm3.This approach can be popularized to other mines to obtain attributes of 3D fissure network when only 2D data are available.

Key words: CT section image, stereology technology, fissure network, rock fissure, Gejiu tin deposit

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