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    低-中煤级构造煤纳米孔分形模型适用性及分形特征

    宋昱 姜波 李凤丽 闫高原 么玉鹏

    宋昱, 姜波, 李凤丽, 闫高原, 么玉鹏, 2018. 低-中煤级构造煤纳米孔分形模型适用性及分形特征. 地球科学, 43(5): 1611-1622. doi: 10.3799/dqkx.2017.566
    引用本文: 宋昱, 姜波, 李凤丽, 闫高原, 么玉鹏, 2018. 低-中煤级构造煤纳米孔分形模型适用性及分形特征. 地球科学, 43(5): 1611-1622. doi: 10.3799/dqkx.2017.566
    Song Yu, Jiang Bo, Li Fengli, Yan Gaoyuan, Yao Yupeng, 2018. Applicability of Fractal Models and Nanopores' Fractal Characteristics for Low-Middle Rank Tectonic Deformed Coals. Earth Science, 43(5): 1611-1622. doi: 10.3799/dqkx.2017.566
    Citation: Song Yu, Jiang Bo, Li Fengli, Yan Gaoyuan, Yao Yupeng, 2018. Applicability of Fractal Models and Nanopores' Fractal Characteristics for Low-Middle Rank Tectonic Deformed Coals. Earth Science, 43(5): 1611-1622. doi: 10.3799/dqkx.2017.566

    低-中煤级构造煤纳米孔分形模型适用性及分形特征

    doi: 10.3799/dqkx.2017.566
    基金项目: 

    国家科技重大专项 2016ZX05044001-02

    国家自然科学基金重点项目 41430317

    详细信息
      作者简介:

      宋昱(1991-), 博士研究生, 主要从事煤、油气资源评价、煤层气和页岩气等非常规天然气资源的勘探开发等研究

      通讯作者:

      姜波

    • 中图分类号: P595

    Applicability of Fractal Models and Nanopores' Fractal Characteristics for Low-Middle Rank Tectonic Deformed Coals

    • 摘要: 构造煤纳米孔非均质性研究对于揭示煤层气赋存状态和传输特性具有重要意义.选取低-中煤级典型序列构造煤样品,基于高压压汞和低温液氮相结合的方法计算了构造煤基质压缩系数,并分析了Menger、热力学、Sierpinski和FHH分形模型对构造煤的适用性,进一步揭示了孔隙分形特征,糜棱煤的Menger分形曲线呈现三段式分布,而对于原生煤、碎裂煤、片状煤、鳞片煤和揉皱煤而言,Sierpinski模型、Menger模型、热力学模型以及FHH模型分段点分别为100 nm、72 nm、72 596 nm和8 nm.Menger模型分形维数大于3且拟合偏差较大,不适合表征构造煤的孔隙非均质性.Sierpinski模型适合于描述构造煤的纳米孔分形特征;FHH模型适合于表征原生煤及构造煤8~100 nm的孔隙非均质性.Sierpinski模型微米孔(>100 nm)的分形维数(Ds1)随着构造变形的增强先升高,而后降低,在片状煤中达到最高;Sierpinski模型纳米孔(< 100 nm,Ds2c)和FHH模型 < 8 nm的孔隙的非均质性随构造变形的增强逐渐升高.原生煤和脆性变形煤中,Ds1 > Ds2c,表明为微米孔非均质性强于纳米孔;鳞片煤中,Ds1接近于Ds2c;揉皱煤中,Ds1 < Ds2c,表明纳米孔的非均质性强于微米孔.

       

    • 图  1  淮北地区徐宿弧形双冲-叠瓦扇推覆构造与采样位置

      琚宜文等(2005)Jiang et al.(2010)Li et al.(2013)姜波等(2016).a.淮北煤田构造纲要图;b.AB线剖面图;c.矿区煤系地层综合柱状图

      Fig.  1.  Schematic map showing the Xuzhou-Suzhou arcuate duplex-imbricate fan thrust system and sampling location in the Huaibei area

      图  2  构造煤样品宏观及显微变形特征(手标本及反射光)

      Fig.  2.  Macroscopic and microscopic deformation characteristics of typical sequence tectonically deformed coals (hand specimens and reflection)

      图  3  不同分形曲线对于孔隙结构表征的阶段性

      Fig.  3.  Phase characteristics of pore structure of different fractal curves

      图  4  不同构造煤的D m1(a)和Dm2(糜棱煤中为D m3′) (b)以及不同分形模型对原生煤及构造煤孔隙结构表征偏差(c, d)

      Fig.  4.  Dm1(a), Dm2(Dm3′ in mylonitic coals) (b), and characterization deviation of different fractal models for primary coals and tectonically deformed coals (c, d)

      图  5  原生煤及构造煤Sierpinski模型微米孔(a)、Sierpinski模型纳米孔(b)以及FHH模型8~100 nm孔隙(c)的分形维数

      Fig.  5.  Fractal dimensions of the micron pores- (a) and nanopores (b) at Sierpinski fractal curve and pores with the diameter 8-100 nm (c) at FHH fractal curve in primary- and tectonically deformed coals

      表  1  样品及其基本特征

      Table  1.   Basic properties of tectonically deformed coal samples

      样品编号 煤体结构 孔容(mm3/g) Ro, max(%) 样品编号 煤体结构 孔容(mm3/g) Ro, max(%)
      >1 000 100~1 000 >1 000 100~1 000
      Q3 原生煤 11.1 1.4 0.89 Q2 鳞片煤 15.7 5.1 0.79
      Q11 原生煤 9.6 9.8 1.00 Z8 鳞片煤 11.4 6.1 0.81
      Z2 原生煤 1.8 1.4 0.98 Q5 鳞片煤 20.4 4.2 0.89
      Q16 原生煤 2.3 1.6 0.90 Z12 鳞片煤 4.8 2.2 1.34
      Q14 原生煤 8.7 2.3 0.84 Z11 鳞片煤 2.4 0.6 0.91
      Q1 碎裂煤 5.4 1.7 1.00 Q15 揉皱煤 42.9 3.9 0.85
      Q8 碎裂煤 5.7 1.9 0.89 Z5 揉皱煤 7.9 2.1 0.93
      Q4 碎裂煤 1.9 0.8 0.80 Q9 揉皱煤 7.6 2.6 0.90
      Z7 碎裂煤 14.6 8.7 0.85 Z9 揉皱煤 25.6 17.3 0.86
      Q17 碎裂煤 5.5 1.7 0.54 Q7 揉皱煤 33.2 12.8 0.91
      Q12 片状煤 8.5 3.5 0.83 Z4 糜棱煤 12.3 4.0 0.84
      Z12 片状煤 7.5 3.7 0.89 Z3 糜棱煤 22.8 13.7 0.91
      Z1 片状煤 5.0 1.2 0.89 Q6 糜棱煤 21.7 21.3 0.91
      Q10 片状煤 8.3 2.3 0.87 Z10 糜棱煤 30.2 20.7 0.81
      Q13 片状煤 11.3 6.3 0.83 Z13 糜棱煤 30.2 20.7 0.81
      下载: 导出CSV
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    • 收稿日期:  2017-10-01
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