冲击荷载对无烟煤微观孔隙影响的分形研究

王以贤; 梁为民

doi:10.11858/gywlxb.20200528

冲击荷载对无烟煤微观孔隙影响的分形研究

doi: 10.11858/gywlxb.20200528

王以贤^{1, 2,},
梁为民^1,*, ,

1.
河南理工大学土木工程学院，河南焦作　454000
2.
河南建筑职业技术学院，河南郑州　450064

基金项目: 国家自然科学基金（41772163）

详细信息

作者简介:
王以贤（1981–），男，博士研究生，讲师，主要从事爆破工程及岩土工程研究.E-mail：56653648@qq.com

通讯作者:
梁为民（1967–），男，博士，教授，主要从事爆破工程及岩土工程研究.E-mail：liangwm@hpu.edu.cn

中图分类号: O347.2
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出版历程
- 收稿日期: 2020-03-12
- 修回日期: 2020-03-26

Fractal Study on Influence of Impact Load on Microscopic Pore of Anthracite

WANG Yixian^{1, 2
,},
LIANG Weimin^{1,*
, ,}

1.
School of Civil Engineering, Henan Polytechnic University, Jiaozuo 454000, Henan, China
2.
Henan Technical College of Construction, Zhengzhou 450064, Henan, China

摘要

摘要: 为了揭示冲击荷载对无烟煤微观孔隙结构的影响规律，利用分离式霍普金森压杆（SHPB）冲击实验系统模拟了冲击应力在不同衰减过程中的冲击波和应力波，基于冲击前后压汞实验及低温液氮实验测试数据，运用分形理论，研究了赵固二矿不同方向煤体（与层理方向分别呈垂直、平行、45°斜交）冲击前后孔隙结构的分形特征。结果表明：对于渗流孔，冲击荷载提高了瓦斯的渗流与运移速度，对于吸附孔，冲击荷载减小了吸附孔的吸附能力，促进了瓦斯的解吸；分形维数具有明显的冲击方向性，且吸附孔的分形维数明显小于渗流孔；不同方向无烟煤的最佳冲击荷载不同，垂直和斜交层理方向的最佳冲击荷载为51.80 MPa，平行层理方向的最佳冲击荷载为28.46 MPa。研究结果可为冲击荷载促进瓦斯抽采机理的探讨提供参考。
- 冲击荷载 /
- 无烟煤 /
- 分形理论 /
- 微观孔隙 /
- 压汞 /
- 低温液氮
Abstract: In order to reveal the influence of impact loading on the microscopic pore structure of anthracite, the shock and stress waves of the impact stress in different attenuation processes were simulated by using the split Hopkinson pressure bar (SHPB) impact loading system, and the fractal characteristics of the pore structures of anthracite in different directions of Zhaogu No.2 Mine (vertical, parallel and 45° oblique to the bedding direction) were studied by using the fractal theory based on the test data of mercury intrusion and low-temperature liquid nitrogen before and after impacting. The results show that for the seepage hole, the impact loading increases the gas seepage and migration velocity. For the adsorption hole, the impact loading reduces the adsorption capacity of the adsorption hole, which promotes the desorption of gas. Fractal dimension has obvious impact directionality, and the fractal dimension of the adsorption hole is obviously smaller than that of the seepage hole; the optimal impact loadings of anthracite in different directions are different. The optimal loading in the vertical bedding direction and the oblique bedding direction is 51.80 MPa, and the optimal impact loading in the parallel bedding direction is 28.46 MPa. The research results can provide support for the discussion of the mechanism of impact loading to promote gas drainage.
- impact loading /
- anthracite /
- fractal theory /
- microscopic pore /
- the mercury injection /
- low temperature liquid nitrogen

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图 1 煤样图片及尺寸

Figure 1. Picture and size of the coal sample

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图 2 实验方案

Figure 2. Experimental scheme

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图 3 垂直层理方向渗流孔分形维数的对比

Figure 3. Fractal dimension of the seepage hole in the vertical bedding direction

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图 4 平行层理方向渗流孔分形维数的对比

Figure 4. Fractal dimension of the seepage hole in the parallel bedding direction

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图 5 斜交层理方向渗流孔分形维数的对比

Figure 5. Fractal dimension of the seepage hole in the oblique bedding direction

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图 6 垂直层理方向吸附孔分形维数的对比

Figure 6. Fractal dimension of the adsorption hole in the vertical bedding direction

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图 7 平行层理方向吸附孔分形维数的对比

Figure 7. Fractal dimension of the adsorption hole in the parallel bedding direction

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图 8 斜交层理方向吸附孔分形维数的对比

Figure 8. Fractal dimension of the adsorption hole in the oblique bedding direction

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图 9 不同方向煤体渗流孔与吸附孔分形维数减小率随冲击荷载的变化

Figure 9. Fractal dimension reduction rates of the seepage hole and adsorption hole vary with the impact load

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图 10 不同方向煤体的分形维数与冲击荷载之间的关系

Figure 10. Relationship between the fractal dimension and the impact load of coal bodies in different directions

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表 1 煤样基本参数

Table 1. Basic parameters of coal samples

No.	$\;\rho$ /(g·cm⁻³)	f_c/MPa	C_L/(km·s⁻¹)	R_0,max/%	Mass fraction/%
No.	$\;\rho$ /(g·cm⁻³)	f_c/MPa	C_L/(km·s⁻¹)	R_0,max/%	Ash	Volatile component	Fixed carbon	Exinite	Vitrinite	Inertinite
C₀	1.423	17.29	1.381	3.32	5.62	6.05	83.98	1	98	1
P₀	1.461	15.13	1.852
X₀	1.422	11.65	1.653

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表 2 实验数据表

Table 2. Impact test data

Direction	p_I/MPa	p_L/MPa	No.	Size/mm × mm	$D_{\rm{s} }$	$\bar D_{\rm{s} }$	$R_{\rm{s} }^2$	$D_{\rm{x} }$	$\bar D_{\rm{x} }$	$R_{\rm{x}}^2$	$d$	$\bar d$
Vertical bedding	0	0	YC₁		2.99	2.98	0.97	2.75	2.78	0.95
			YC₂		2.99		0.99	2.78		0.96
			YC₃		2.95		0.98	2.81		0.98
	0.10	28.46	C₁	$\varnothing$ 49.75 × 50.33	2.85	2.85	0.95	2.31	2.23	0.95	0.14	0.14
			C₂	$\varnothing$ 49.33 × 49.89	2.92		0.96	2.21		0.93	0.16
			C₃	$\varnothing$ 49.34 × 50.42	2.79		0.95	2.17		0.96	0.12
	0.15	32.59	C₄	$\varnothing$ 49.42 × 49.57	2.73	2.73	0.99	2.19	2.19	0.95	0.18	0.16
			C₅	$\varnothing$ 49.66 × 49.93	2.78		0.97	2.23		0.96	0.12
			C₆	$\varnothing$ 49.42 × 50.84	2.69		0.94	2.15		0.95	0.18
	0.20	41.43	C₇	$\varnothing$ 49.39 × 49.93	2.63	2.68		2.05	2.13	0.96	0.18	0.17
			C₈	$\varnothing$ 49.42 × 49.76	2.71		0.98	2.21		0.97	0.17
			C₉	$\varnothing$ 49.45 × 50.28	2.69		0.99	2.13		0.98	0.15
	0.30	51.80	C₁₀	$\varnothing$ 49.52 × 50.47	2.56	2.51	0.99	2.05	2.05	0.99	0.17	0.19
			C₁₁	$\varnothing$ 49.36 × 49.78	2.64		0.96	2.09		0.96	0.19
			C₁₂	$\varnothing$ 49.27 × 50.27	2.34		0.94	2.01		0.96	0.22
	0.50	58.70	C₁₃	$\varnothing$ 49.38 × 50.47	2.74	2.73	0.92	2.11	2.12	0.92	0.33	0.44
			C₁₄	$\varnothing$ 49.45 × 50.21	2.79		0.94	2.17		0.93	0.57
			C₁₅	$\varnothing$ 49.49 × 49.44	2.67		0.95	2.07		0.98	0.42
Parallel bedding	0	0	YP₁		2.84	2.87	0.99	2.89	2.86	0.95
			YP₂		2.91		0.96	2.86		0.94
			YP₃		2.87		0.97	2.83		0.96
	0.10	28.46	P₁	$\varnothing$ 49.29 × 50.11	2.57	2.57	0.99	2.03	2.03	0.98	0.13	0.13
			P₂	$\varnothing$ 49.36 × 50.37	2.65		0.98	2.05		0.95	0.11
			P₃	$\varnothing$ 49.47 × 49.88	2.50		0.99	2.02		0.96	0.15
	0.15	32.59	P₄	$\varnothing$ 49.31 × 49.32	2.58	2.58	0.97	2.15	2.15	1.00	0.31	0.25
			P₅	$\varnothing$ 49.33 × 50.28	2.61		0.98	2.19		0.95	0.22
			P₆	$\varnothing$ 49.31 × 49.16	2.56		0.95	2.11		0.97	0.22
Parallel bedding	0.20	41.43	P₇	$\varnothing$ 49.33 × 50.33	2.64	2.64	0.92	2.20	2.19	0.95	0.18	0.28
			P₈	$\varnothing$ 49.60 × 49.85	2.68		0.93	2.14		0.96	0.22
			P₉	$\varnothing$ 49.31 × 50.11	2.61		0.95	2.24		0.98	0.44
	0.30	51.80	P₁₀	$\varnothing$ 49.31 × 50.40	2.81	2.81	0.94	2.21	2.18	0.95	0.37	0.34
			P₁₁	$\varnothing$ 49.05 × 49.87	2.85		0.95	2.16		0.97	0.30
			P₁₂	$\varnothing$ 49.42 × 49.87	2.78		0.94	2.18		0.96	0.35
	0.50	58.70	P₁₃	$\varnothing$ 49.40 × 49.93	2.89	2.81	0.95	2.82	2.73	0.97	0.54	0.50
			P₁₄	$\varnothing$ 49.62 × 49.96	2.81		0.99	2.73		0.96	0.49
			P₁₅	$\varnothing$ 49.32 × 49.79	2.73		0.95	2.63		0.96	0.47
45° oblique bedding	0	0	YX₁		2.81	2.81	0.94	2.77	2.78	0.95
			YX₂		2.85		0.95	2.71		0.95
			YX₃		2.78		0.97	2.85		0.96
	0.10	28.46	X₁	$\varnothing$ 49.49 × 50.03	2.75	2.75	0.99	2.38	2.38	0.97	0.17	0.16
			X₂	$\varnothing$ 49.27 × 49.63	2.81		0.98	2.28		0.95	0.19
			X₃	$\varnothing$ 49.31 × 49.30	2.68		0.97	2.47		0.96	0.12
	0.15	32.59	X₄	$\varnothing$ 49.24 × 49.93	2.67	2.65	0.99	2.39	2.31	0.98	0.29	0.24
			X₅	$\varnothing$ 49.27 × 49.33	2.75		0.95	2.31		0.96	0.21
			X₆	$\varnothing$ 49.27 × 49.82	2.54		0.98	2.23		0.95	0.22
	0.20	41.43	X₇	$\varnothing$ 49.25 × 49.90	2.76	2.70	0.95	2.08	2.12	0.94	0.20	0.22
			X₈	$\varnothing$ 49.60 × 49.38	2.71		0.92	2.17		0.92	0.21
			X₉	$\varnothing$ 49.29 × 49.05	2.64		0.93	2.12		0.93	0.25
	0.30	51.80	X₁₀	$\varnothing$ 49.40 × 50.28	2.47	2.55	0.98	2.01	2.06	0.93	0.21	0.18
			X₁₁	$\varnothing$ 49.38 × 50.88	2.61		0.96	2.07		0.92	0.17
			X₁₂	$\varnothing$ 49.71 × 50.02	2.58		0.97	2.11		0.95	0.16
	0.50	58.70	X₁₃	$\varnothing$ 49.66 × 50.44	2.79	2.73	0.98	2.26	2.28	0.96	0.63	0.71
			X₁₄	$\varnothing$ 49.73 × 49.91	2.75		0.97	2.31		0.94	0.72
			X₁₅	$\varnothing$ 49.46 × 50.05	2.64		0.96	2.28		0.93	0.78

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