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

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

宋昱^1,2,,
姜波^1,2, ,,
李凤丽^1,2,
闫高原^1,2,
么玉鹏^1,2

1.
中国矿业大学资源与地球科学学院, 江苏徐州 221116
2.
中国矿业大学煤层气资源与成藏过程教育部重点实验室, 江苏徐州 221008

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
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- 被引次数: 0
出版历程
- 收稿日期: 2017-10-01
- 刊出日期: 2018-05-15

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

Song Yu^{1,2
,},
Jiang Bo^{1,2
, ,},
Li Fengli^1,2,
Yan Gaoyuan^1,2,
Yao Yupeng^1,2

1.
School of Resources and Geosciences, China University of Mining & Technology, Xuzhou 221116, China
2.
Key Laboratory of Coal Bed Methane Resource & Reservoir Formation Process, Ministry of Education, China University of Mining & Technology, Xuzhou 221008, China

摘要

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（D_s1）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，D_s2c）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，D_s1 > D_s2c，表明为微米孔非均质性强于纳米孔；鳞片煤中，D_s1接近于D_s2c；揉皱煤中，D_s1 < D_s2c，表明纳米孔的非均质性强于微米孔.
- 构造煤 /
- 纳米孔 /
- 基质压缩 /
- 分形特征 /
- 模型适用性
Abstract: The investigations of nanopore heterogeneity in tectonically deformed coals are of significance for the study of occurrence state and transmission characteristics of coalbed methane (CBM). The low-middle rank tectonic deformed coals were screened out firstly in this study and then the matrix compressibility and the applicabilities of Menger, thermodynamics, Sierpinski, and FHH of tectonic deformed coals, as well as the fractal characteristics, were analyzed based on high-pressure mercury intrusion and low-pressure gas adsorption.The fractal curves of Menger model for mylonitic coals can be divided into three stages. However, for primary coals, cataclastic coals, schistose coals, scaly coals, and wrinkle coals, the fractal curves of Sierpinski, Menger, thermodynamics, and FHH can be obviously divided into two stages and the piecewise points locates at 100 nm, 72 nm, 72 596 nm, and 8 nm respectively. The fractal dimensions of Menger model are >3 and have a fitting deviation, so it is not suitable to characterize the pore heterogeneity. The Sierpinski model is suitable to characterize the fractal characteristics of the nanopore of the tectonic deformed coals whereas the FHH model is for the pores of 8-100 nm in primary coals and various tectonic deformed coals. The fractal dimension (D_s1) of micron pores at Sierpinski fractal curve (>100 nm) increases firstly and then decreases with the increase of tectonic deformation, reaching the highest values in schistose coals. The heterogeneity of both nanopores at Sierpinski fractal curve (< 100 nm, D_s2c) and that of pores of 8-100 nm at FHH fractal curve increase with the enhancement of the tectonic deformation. In primary coals and brittle deformed coals, D_s1 > D_s2c, indicating that the heterogeneity of micron pores are stronger than that of nanopores. In scaly coals, D_s1 is close to D_s2c. In wrinkle coals, D_s1 < D_s2c, indicating that the heterogeneity of nanopores is stronger than that of micron pores.
- tectonic deformed coals /
- nanopore /
- matrix compressibility /
- fractal characteristics /
- applicability of model

HTML全文

图 1 淮北地区徐宿弧形双冲-叠瓦扇推覆构造与采样位置

据琚宜文等(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

下载: 全尺寸图片幻灯片

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)

下载: 全尺寸图片幻灯片

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

下载: 全尺寸图片幻灯片

图 4 不同构造煤的D _m1(a)和D_m2(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. D_m1(a), D_m2(D_m3′ in mylonitic coals) (b), and characterization deviation of different fractal models for primary coals and tectonically deformed coals (c, d)

下载: 全尺寸图片幻灯片

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

下载: 全尺寸图片幻灯片

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)		R_{o, max}(%)	样品编号	煤体结构	孔容(mm³/g)		R_{o, max}(%)
样品编号	煤体结构	>1 000	100~1 000	R_{o, max}(%)	样品编号	煤体结构	>1 000	100~1 000	R_{o, max}(%)
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

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