瓦斯爆炸超压和冲击气流速度衰减模型

程磊; 王蒙; 景国勋; 张俊展

doi:10.11883/bzycj-2024-0102

瓦斯爆炸超压和冲击气流速度衰减模型

doi: 10.11883/bzycj-2024-0102

程磊^{1, 2,},
王蒙^1, ,,
景国勋^{1, 2},
张俊展¹

1.
河南理工大学安全科学与工程学院，河南焦作 454003
2.
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 454000

基金项目: 国家自然科学基金—河南联合基金重点资助项目(U1904210)；

详细信息

作者简介:
程　磊（1973－　），男，博士，教授，chengl@hpu.edu.cn

通讯作者:
王　蒙（1999－　），女，硕士，3374889736@qq.com

中图分类号: O389
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- 文章访问数: 314
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- PDF下载量: 87
- 被引次数: 0
出版历程
- 收稿日期: 2024-04-11
- 修回日期: 2024-06-07
- 网络出版日期: 2024-06-12

Gas explosion overpressure and impact airflow velocity attenuation model

CHENG Lei^{1, 2
,},
WANG Meng^{1
, ,},
JING Guoxun^{1, 2},
ZHANG Junzhan¹

1.
School of Safety Science and Engineering, Henan Polytechnic University, Jiaozuo 454003, Henan China
2.
Henan Collaborative Innovation Center of Coal Work Safety and Clean-efficiency Utilization, Henan Polytechnic University, Jiaozuo 454000, Henan, China

摘要

摘要: 为降低瓦斯爆炸对煤矿作业人员和煤炭安全开采的巨大威胁，对巷道中不同体积的瓦斯/空气混合气体爆炸超压和冲击气流速度随传播距离衰减的规律进行了深入研究。首先，根据量纲分析法和能量相似律，综合考虑巷道中瓦斯爆炸超压、冲击气流速度随传播距离衰减的影响因素，建立了超压和冲击气流速度随传播距离衰减的无量纲公式。其次，对大尺寸巷道中的实验数据进行回归分析，得到了超压、冲击气流速度的衰减模型及二者之间的关系式。最后，对所建立的衰减模型和关系式进行验证。结果表明：混合气体能量、气体积聚量、测点距离、水力直径和巷道截面积是超压、冲击气流速度衰减的主要影响因素；超压、冲击气流速度均与混合气体聚积量正相关，起始超压和冲击气流速度越大，衰减越迅速；衰减模型理论值与试验值的相对误差及关系式理论值与试验值的相对误差均控制在约10%，数据整体吻合度较高，验证了其可靠性，能够更简洁直观的描述瓦斯爆炸传播规律，实现对超压、气流速度的快速计算。
- 瓦斯爆炸 /
- 冲击波超压 /
- 冲击气流速度 /
- 量纲分析法 /
- 衰减规律
Abstract: In order to reduce the great threat of gas explosion to coal mine operators and coal safety mining, the law of explosion overpressure and impact airflow velocity attenuation with the propagation distance of different volumes of gas-air mixed gas in roadway was deeply studied. Firstly, based on dimensional analysis, factors affecting the single-direction propagation attenuation of gas explosion overpressure in roadway were comprehensively considered, such as mixed gas energy, gas accumulation amount, measuring point distance and related parameters of roadway, and a dimensionless formula of single-direction propagation attenuation of gas explosion overpressure in roadway was obtained. Based on the regression analysis of the experimental data of gas explosion overpressure in large-size roadway, the mathematical model of unidirectional overpressure propagation attenuation in roadway was established, and the mathematical model of bidirectional overpressure propagation attenuation in roadway was established according to the law of energy similarity. According to the analysis process of influencing factors of single-direction propagation attenuation of gas explosion overpressure in roadway, a dimensionless formula of single-direction propagation attenuation of impact airflow velocity in roadway was obtained. Through regression analysis of experimental data of gas explosion impact airflow velocity in large-size roadway, a mathematical model of single-direction propagation attenuation of impact airflow velocity in roadway was established. According to the law of energy similarity, the mathematical model of the bidirectional propagation attenuation of the impact airflow velocity in the roadway was established. Secondly, according to the establishment process of the mathematical model of the unidirectional and bidirectional propagation attenuation of overpressure and impact airflow velocity in the roadway, the impact airflow velocity was included as one of the influencing factors in the consideration of the unidirectional propagation attenuation of gas explosion overpressure in the roadway in addition to the mixed gas energy, gas accumulation amount, measuring point distance and relevant parameters of the roadway. Based on the energy similarity law, the overpressure-airflow velocity relation of overpressure propagation attenuation in roadway was established. According to the establishment process of the overpressure-airflow velocity relation of the single and bidirectional propagation attenuation of gas explosion overpressure in roadway, the airflow velocity relation of the single and bidirectional propagation attenuation of the impact airflow velocity in roadway was established. Finally, the attenuation model and the mathematical relationship between overpressure and impact airflow velocity were verified. The results show that the energy of gas mixture, gas accumulation amount, the distance of measuring point, the hydraulic diameter and the cross-sectional area of roadway are the main factors affecting the attenuation of overpressure and impact airflow velocity. Both overpressure and impact airflow velocity are positively correlated with the amount of mixed gas accumulation. The greater the initial overpressure and impact airflow velocity, the faster the attenuation. The relative errors between the theoretical value and the test value of the attenuation model and the relative errors between the theoretical value and the test value of the relation are controlled at about 10%, and the overall consistency of the data is high, which verifies the reliability of the model and the mathematical relation, and can describe the law of gas explosion propagation more simply and intuitively, and realize the rapid calculation of overpressure and impact airflow velocity.
- gas explosion /
- impact wave overpressure /
- impact airflow velocity /
- dimensional analysis /
- attenuation law

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图 1 不同混合气体体积下超压衰减模型的理论和试验数据对比

Figure 1. Comparison of overpressure for the gas explosion by overpressure propagation attenuation model and experimental data at different gas mixture volumes

下载: 全尺寸图片幻灯片

图 2 不同混合气体体积下气流速度衰减模型的理论和试验数据对比

Figure 2. Comparison of airflow velocity for the gas explosion by airflow velocity attenuation model and experimental data at different gas mixture volumes

下载: 全尺寸图片幻灯片

图 3 不同混合气体体积下根据超压-气流速度关系式得到的超压理论值和试验数据对比

Figure 3. Comparison of overpressure for the gas explosion by overpressure-airflow velocity relation and experimental data at different gas mixture volumes

下载: 全尺寸图片幻灯片

图 4 不同混合气体体积下根据超压-气流速度关系式得到的气流速度理论值和试验数据对比

Figure 4. Comparison of airflow velocity for the gas explosion by overpressure-airflow velocity relation and experimental data at different gas mixture volumes

下载: 全尺寸图片幻灯片

表 1 爆炸超压随距离衰减的影响因素

Table 1. Influencing factors of explosion overpressure attenuation with distance

影响因素	量纲
超压p	L⁻¹T⁻²M¹
爆炸混合物能量E	L²T⁻²M¹
混合气体积聚量V	L³
巷道截面积S	L²
水力直径d_B	L
巷道粗糙系数β	/
测点与爆源距离R	L
空气初始大气压p₀	L⁻¹T⁻²M¹
空气初始大气密度ρ₀	L⁻³M¹
注：[L]、[T]、[M]分别为长度、时间和质量3个基本量纲。

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表 2 瓦斯爆炸超压原始试验数据

Table 2. The original experiment data of overpressure in gas explosion

距离R/m	超压/kPa
	100 m³			200 m³
	试验1	试验2	试验3	试验1	试验2	试验3
30	171	167	159	295	324	308
40	180	168	161	288	311	285
60	136	163	163	286	302	265
80	167	145	130	269	284	264
100	151	137	125	261	270	255
120	139	131	138	258	261	248
140	128	129	130	250	256	243
160	118	126	121	237	249	242

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表 3 瓦斯爆炸气流速度原始试验数据

Table 3. The original experiment data of impact airflow in gas explosion

距离R/m	气流速度/(m∙s⁻¹)
	100 m³			200 m³
	试验1	试验2	试验3	试验1	试验2	试验3
30	292.6	298.0	294.9	491.0	450.6	427.9
40	236.2	258.1	287.8	377.9	361.5	309.6
60	203.0	239.1	297.6	270.9	268.8	299.7
80	194.5	198.0	173.6	239.4	246.2	257.3
100	174.6	166.2	164.6	219.7	222.2	227.5
120	173.2	154.2	141.5	202.1	219.7	215.0
140	149.1	130.1	144.2	182.3	202.1	108.8
160	125.0	115.2	134.6	174.5	179.7	166.0

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