基于正交试验的U形通风采煤工作面瓦斯爆炸超压影响因素分析

刘佳佳; 张翔; 高志扬; 张扬; 陈玖强; 靳马超

doi:10.11883/bzycj-2024-0142

基于正交试验的U形通风采煤工作面瓦斯爆炸超压影响因素分析

doi: 10.11883/bzycj-2024-0142

刘佳佳^{1, 2, 3,},
张翔¹,
高志扬^{1, 3, ,},
张扬¹,
陈玖强¹,
靳马超⁴

1.
河南理工大学安全科学与工程学院，河南焦作 454003
2.
安徽理工大学深部煤矿采动响应与灾害防控国家重点实验室，安徽淮南 232001
3.
河南理工大学煤炭安全生产与清洁高效利用省部共建协同创新中心，河南焦作 454003
4.
山西冶金岩土工程勘察有限公司，山西太原 030000

基金项目: 国家自然科学基金（52074106）；河南省优秀青年科学基金（232300421061）；中国博士后科学基金（2024M750803）；深部煤矿采动响应与灾害防控国家重点实验室开放基金（SKLMRDPC22KF11）；河南理工大学青年骨干教师培养计划（2023XQG-07）

详细信息

作者简介:
刘佳佳（1985－　），男，博士，副教授，liujiajia@hpu.edu.cn

通讯作者:
高志扬（1981－　），男，博士，副教授，aa19851985@sina.com

中图分类号: O382
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出版历程
- 收稿日期: 2024-05-15
- 修回日期: 2024-07-09
- 网络出版日期: 2024-07-11

Analysis on influencing factors of gas explosion overpressure peak in a U-shaped ventilation coal face based on orthogonal test

LIU Jiajia^{1, 2, 3
,},
ZHANG Xiang¹,
GAO Zhiyang^{1, 3
, ,},
ZHANG Yang¹,
CHEN Jiuqiang¹,
JIN Machao⁴

1.
School of Safety Science and Engineering, Henan Polytechnic University, Jiaozuo 454003, China
2.
State Key Laboratory of Mining Response and Disaster Prevention and Control in Deep Coal Mines, Anhui University of Science and Technology, Huainan 232001, China
3.
Henan Collaborative Innovation Center of Coal work Safety and Clean-efficiency Utilization, Henan Polytechnic University, Jiaozuo 454003, China
4.
Shanxi Metallurgical Geotechnical Engineering Investigation Co., LTD, Taiyuan 030000, China

摘要

摘要: 为探究U形通风采煤工作面瓦斯爆炸的传播规律并探讨瓦斯爆炸超压衰减对不同影响因素的敏感性，利用Fluent模拟软件并结合某矿3906工作面情况开展了数值模拟研究。首先，根据瓦斯爆炸机理搭建数学模型，并依据前人实验方案进行数值模拟，以此验证该数学模型的可靠性；其次，依序进行模拟关键参数的优化，并得到关键参数网格尺寸、迭代步长和点火温度的最合理设置分别为0.2 m、0.05 ms和1900 K，通过拟合得到工作面爆炸超压峰值及其到达时间与爆心距之间的函数关系。通过正交试验分析瓦斯爆炸超压衰减对不同影响因素的敏感性。极差分析得到温度、瓦斯浓度和瓦斯积聚区压力3个主控因素的极差值依次减小，此次模拟中温度对于爆炸超压衰减的影响最显著，其中R值达到5.928；运用方差分析对影响瓦斯爆炸超压衰减率的主控因素进行显著性研究，温度的方差值最大，瓦斯积聚区压力的方差值次之，瓦斯浓度的方差值最小，其中温度的显著值F达到31.835，其余两项不显著。
- U形通风 /
- 采煤工作面 /
- 瓦斯爆炸 /
- 超压衰减率 /
- 正交试验
Abstract: Numerical simulation was carried out by using the Fluent simulation software and combining it with the situation of the working face 3906 in a mine to investigate the propagation law of gas explosion in a U-shaped ventilation coal mining face and to explore the sensitivities of the overpressure attenuation of a gas explosion to different influencing factors. The relative errors between the numerically-simulated results and experimental ones are less than 15%, which verifies the reliability of the mathematical model developed in this paper. Then, the key parameters, namely, grid size, iteration time step, and ignition temperature are optimized to 0.2 m, 0.05 ms, and 1900 K, respectively. Numerical simulation indicates that the relationship between the peak of the explosion overpressure and the distance away from the explosion center of the coal face meets an exponential function relationship. The relationship between the arrival time of the peak explosion overpressure and the distance away from the explosion center meets a linear function. By designing an orthogonal array, 16 sets of data were obtained through simulation, and the following analyses were conducted based on this data. The extreme difference values of the three main control factors were obtained by using extreme difference analysis. The extreme difference value of the temperature is the greatest, the one of the gas concentration take the second, and the one of the gas accumulation area pressure is the least. The most significant impact of the temperature on the explosion overpressure attenuation in the numerical simulation, in which the R-value reaches 5.928. ANOVA analysis was carried out to study the significances of the main control factors affecting the explosion overpressure attenuation rate. In the three main control factors, the significance of the temperature is the most, the one of the gas accumulation zone pressure comes second, and the one of the gas concentration is the weakest. And the temperature shows a significance level of 31.835, while the other two factors are not significant.
- U-shaped ventilation /
- coal face /
- gas explosion /
- explosion overpressure attenuation rate /
- orthogonal experiment

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图 1 河南焦煤集团某矿3906工作面物理模型

Figure 1. Physical model of working face 3906 of a mine of Henan Coking Coal Group

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图 2 数学模型验证中监测点的布置

Figure 2. Layout of monitoring points for validating the mathematical model

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图 3 不同方法得到的不同测点处的超压峰值以及两者的误差

Figure 3. Overpressure peaks of different measuring points obtained by different methods and their corresponding errors

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图 4 关键参数优化中监测点的布置

Figure 4. Layout of monitoring points for optimizing the key parameters

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图 5 超压峰值随网格尺寸的变化

Figure 5. Variation of overpressure peak with mesh size

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图 6 超压峰值到达时间随网格尺寸的变化

Figure 6. Variation of overpressure peak arrival time with mesh

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图 7 超压峰值随迭代步长的变化

Figure 7. Variation of overpressure peak with time step

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图 8 超压峰值到达时间随迭代步长的变化

Figure 8. Variation of overpressure peak arrival time with time step

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图 9 超压峰值随点火温度的变化

Figure 9. Variation of overpressure peak with ignition temperature

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图 10 超压峰值到达时间随点火温度的变化

Figure 10. Variation of overpressure peak arrival time with ignition temperature

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图 11 U形通风采煤工作面监测点的布置

Figure 11. Layout of monitoring points in U-shaped ventilation coal face

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图 12 工作面瓦斯爆炸传播规律

Figure 12. Propagation of gas explosion in working face

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图 13 不同瓦斯浓度水平下瓦斯爆炸超压峰值的衰减

Figure 13. Attenuation of gas explosion overpressure peak under different gas concentration levels

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表 1 网格分布

Table 1. Grid distribution

网格尺寸/m	瓦斯充填区网格数	点火区域网格数
0.15	16284	154
0.20	7200	56
0.25	3584	32
0.30	2148	18
0.35	1310	14
0.40	900	12
0.45	648	6

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表 2 监测点的分布

Table 2. Distribution of monitoring points

监测点设置范围	监测点数量	监测点间距/m
120 m≤Y≤125 m	2	5
90 m≤Y＜120 m	15	2
30 m≤Y＜90 m	12	5
4 m＜Y＜30 m	13	2

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表 3 同等间距下爆炸超压的衰减情况

Table 3. Explosion overpressure attenuation at the same spacing

爆心距区间/m	超压衰减/kPa	时间间隔/ms	超压衰减率/%	爆心距区间/m	超压衰减/kPa	时间间隔/ms	超压衰减率/%
8～18	248.95	13.3	49	68～78	11.32	21.05	9.9
18～28	58.417	17.25	22.6	78～88	5.234	21.4	5.1
28～38	29.993	18.15	14.9	88～98	5.491	21.65	5.7
38～48	26.713	19.25	15.6	98～108	6.516	22	7.1
48～58	13.329	19.9	9.3	108～118	4.887	22.3	5.8
58～68	17.308	20.45	13.3

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表 4 瓦斯爆炸超压传播影响因素的水平设置

Table 4. Level setting of influencing factors of gas explosion overpressure propagation

水平	温度/K	瓦斯积聚区压力/MPa	瓦斯浓度/%
1	300	0.2	7.5
2	350	0.4	9.5
3	400	0.6	11.5
4	450	0.8	13.5

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表 5 瓦斯爆炸超压传播影响因素的正交试验方案

Table 5. Orthogonal test scheme of influencing factors of gas explosion overpressure propagation

组别	温度/K	瓦斯积聚区压力/MPa	瓦斯浓度/%	组别	温度/K	瓦斯积聚区压力/MPa	瓦斯浓度/%
1	350	0.4	13.5	9	400	0.8	13.5
2	350	0.2	9.5	10	300	0.4	11.5
3	450	0.2	13.5	11	450	0.4	9.5
4	400	0.4	7.5	12	450	0.8	11.5
5	400	0.2	11.5	13	350	0.8	7.5
6	300	0.6	13.5	14	400	0.6	9.5
7	300	0.2	7.5	15	450	0.6	7.5
8	300	0.8	9.5	16	350	0.6	11.5

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表 6 不同影响因素对瓦斯爆炸超压衰减率的影响

Table 6. Influence of different influencing factors on attenuation rate of gas explosion overpressure

组别	影响因素			爆炸超压衰减率/%	组别	影响因素			爆炸超压衰减率/%
组别	瓦斯浓度/%	温度/K	瓦斯积聚区压力/MPa	爆炸超压衰减率/%	组别	瓦斯浓度/%	温度/K	瓦斯积聚区压力/MPa	爆炸超压衰减率/%
1	7.5	400	0.4	87.671	9	11.5	400	0.2	84.191
2	7.5	300	0.2	81.582	10	11.5	300	0.4	80.533
3	7.5	350	0.8	82.149	11	11.5	450	0.8	85.951
4	7.5	450	0.6	85.985	12	11.5	350	0.6	81.035
5	9.5	350	0.2	82.298	13	13.5	350	0.4	81.336
6	9.5	300	0.8	79.163	14	13.5	450	0.2	86.373
7	9.5	450	0.4	86.935	15	13.5	300	0.6	80.255
8	9.5	400	0.6	82.851	16	13.5	400	0.8	83.019

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表 7 极差分析

Table 7. Range analysis

项	水平	瓦斯浓度/%（A）	温度/K（B）	瓦斯积聚区压力/MPa（C）
K	1	337.387	321.533	334.444
	2	331.247	326.818	336.475
	3	331.710	337.732	330.126
	4	330.983	345.244	330.282
$ {K_{ij}} $	1	84.346	80.383	83.611
	2	82.812	81.705	84.119
	3	82.928	84.433	82.532
	4	82.746	86.311	82.571
最佳水平		1	4	2
R_i		1.6	5.928	1.587
注：K值指的是i水平j因素下4组试验结果瓦斯爆炸超压衰减率之和，$ {K_{ij}} $对应的K的平均值，i = 1,2,3,4，j = 1,2,3； $ {R_i} = $$ \max \{ {K_{i1}}, {K_{i2}},{K_{i3}}\} - \min \{ {K_{i1}},{K_{i2}},{K_{i3}}\} $， i = 1,2,3,4，R值为某一因素下不同水平之间的极差，即最大值减去最小值，其中R值越大，表明该因素水平的改变对爆炸超压衰减的影响越大。

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表 8 试验方案及数据分析

Table 8. Test scheme and data analysis

指标	方差来源
指标	瓦斯浓度/%	温度/K	瓦斯积聚区压力/MPa
$ K_{1j}^2 $	113829.988	103383.47	111852.789
$ K_{2j}^2 $	109724.575	106810.005	113215.426
$ K_{3j}^2 $	110031.524	114062.904	108983.176
$ K_{4j}^2 $	109549.746	119193.42	109086.2
$ {S_i} $	6.98	85.476	7.424
$ {S_{\text{T}}} $	105.249
$ {S_{\text{e}}} $	5.369

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表 9 瓦斯爆炸超压衰减率主控因素方差分析

Table 9. Variance analysis of the main controlling factors of gas explosion overpressure decay ratio

主控因素	偏差平方和	自由度	平均偏差平方和	F	F_a	显著性
瓦斯浓度	6.98	3	2.327	2.6	4.76
温度	85.476	3	28.492	31.835	4.76	***
瓦斯积聚区压力	7.424	3	2.475	2.765	4.76
误差e	5.369	6	0.895
注：$ {F_{0.01}}(3,6) = 9.78 $,$ {F_{0.05}}(3,6) = 4.76 $, $ {F_{0.1}}(3,6) = 3.29 $；若F > $ {F_{0.01}} $，认为显著性高，用*表示；若$ {F_{0.01}} $> F > $ {F_{0.05}} $，认为显著性中等，用表示；若$ {F_{0.05}} $> F > $ {F_{0.1}} $，认为显著性低，用*表示；若$ {F_{0.1}} $> F，则该因素无显著性。

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