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煤系沉积岩多重分形维数计算及影响因素分析

张娜 寻兴建 王帅栋 张浩宇

张娜, 寻兴建, 王帅栋, 张浩宇. 煤系沉积岩多重分形维数计算及影响因素分析[J]. 矿业科学学报, 2021, 6(5): 623-632. doi: 10.19606/j.cnki.jmst.2021.05.012
引用本文: 张娜, 寻兴建, 王帅栋, 张浩宇. 煤系沉积岩多重分形维数计算及影响因素分析[J]. 矿业科学学报, 2021, 6(5): 623-632. doi: 10.19606/j.cnki.jmst.2021.05.012
Zhang Na, Xun Xingjian, Wang Shuaidong, Zhang Haoyu. Calculation of multi-fractal dimension of coal measure sedimentary rock and analysis of influencing factors[J]. Journal of Mining Science and Technology, 2021, 6(5): 623-632. doi: 10.19606/j.cnki.jmst.2021.05.012
Citation: Zhang Na, Xun Xingjian, Wang Shuaidong, Zhang Haoyu. Calculation of multi-fractal dimension of coal measure sedimentary rock and analysis of influencing factors[J]. Journal of Mining Science and Technology, 2021, 6(5): 623-632. doi: 10.19606/j.cnki.jmst.2021.05.012

煤系沉积岩多重分形维数计算及影响因素分析

doi: 10.19606/j.cnki.jmst.2021.05.012
基金项目: 

国家自然科学基金青年科学基金 41502264

中央高校基本科研业务费专项基金 2020YJSSB07

中国矿业大学(北京)大学生创新训练 C202006968

详细信息
    作者简介:

    张娜(1978—),女,河南灵宝人,博士,副研究员,博士生导师,主要从事流体与岩石相互作用等方面的研究工作。Tel:010-62339820-404,E-mail:zhangn@cumtb.edu.cn

    通讯作者:

    王帅栋(1995—),男,河南灵宝人,博士研究生,主要从事流体与岩石相互作用等方面的研究工作。Tel:15600016794,E-mail:413445570@qq.com

  • 中图分类号: TU458

Calculation of multi-fractal dimension of coal measure sedimentary rock and analysis of influencing factors

  • 摘要: 为表征煤系沉积岩的孔隙结构与分形特征,选取中侏罗统页岩、泥岩和砂岩3种典型沉积岩进行了X射线衍射(XRD)分析、核磁共振(NMR)实验,运用分形理论讨论了NMR分形维数与矿物组成、物性参数之间的相互关系。结果表明:①基于弛豫时间截止值T2C,可将页岩、泥岩NMR分形维数划分为吸附孔隙分形维数DA(T2≤3 ms)和渗流孔隙分形维数DS(T2>3 ms)。②储层物性方面,NMR分形维数Df与孔隙率、渗透率、储层质量指数呈良好的线性负相关关系,说明NMR分形维数能够作为衡量岩石物性的重要指标。③矿物成分方面,石英、长石含量与分形维数Df呈弱负相关关系,黏土矿物由于受到沉积环境、理化性质和矿物本身含量等多因素作用,对分形维数的影响差异较为显著。
  • 图  1  核磁共振与岩样饱和实验设备

    Figure  1.  Experimental equipment for nuclear magnetic resonance and sample saturation

    图  2  岩石样本的T2Sv的双对数关系

    Figure  2.  Double logarithmic relationship between T2 and Sv of rock sample

    图  3  孔隙率、渗透率、RQI与Df之间的相关性

    Figure  3.  Correlation between porosity, permeability, RQI and Df

    图  4  脆性矿物含量与分形维数相关关系

    Figure  4.  Correlation between brittle minerals content and fractal dimension

    图  5  黏土矿物含量与分形维数相关关系

    Figure  5.  Correlation between clay minerals content and fractal dimension

    表  1  岩石样品的基本物理参数

    Table  1.   Basic geophysical descriptions of the rock samples

    样品编号 岩性 干重/g 岩样描述
    SH-1 页岩 92.59   灰色,结构密实,周身光滑,表面有少量微裂纹和纹理
    SH-2 页岩 76.72   灰黑相间,表面光滑,纹理层次分明
    MS-1 泥岩 84.47   灰绿色,结构密实,表面混有少量白色矿物
    MS-2 泥岩 72.61   灰色,结构密实,表面有少量微裂纹
    SS-1 砂岩 75.83   灰色,颗粒均匀分布,表面较粗糙
    下载: 导出CSV

    表  2  岩石样品的矿物成分及含量

    Table  2.   Mineralogical compositions of the investigated rock samples

    样品编号 全岩矿物成分含量/% 黏土矿物组成/%
    黏土矿物 石英 钾长石 斜长石 菱铁矿 高岭石 绿泥石 伊利石 伊/蒙混层
    SH-1 34 24 3 6 33 55 23 11 11
    SH-2 43 41 4 12 49 20 9 22
    MS-1 42 39 4 12 3 45 26 10 19
    MS-2 44 41 3 12 44 25 12 19
    SS-1 12 54 11 17 89 6 3 2
    下载: 导出CSV

    表  3  NMR分形维数计算结果

    Table  3.   NMR fractal dimension calculation result

    样品编号 孔隙率φ /% 渗透率K /mD RQI Df Df相关系数 DA(T2 ≤3 ms) DA相关系数 DS(T2 >3 ms) DS相关系数
    SH-1 3.20 0.000 57 0.004 2 2.775 0.316 2.031 0.952 2.905 0.821
    SH-2 7.15 0.068 60 0.030 9 2.736 0.375 2.016 0.946 2.907 0.861
    MS-1 7.33 0.004 54 0.007 8 2.577 0.455 2.020 0.936 2.758 0.746
    MS-2 7.64 0.006 85 0.009 4 2.668 0.367 2.032 0.922 2.827 0.696
    SS-1 14.25 49.588 22 0.589 9 2.564 0.628
    下载: 导出CSV
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  • 收稿日期:  2020-10-30
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