固体爆炸作用下地铁站台及围岩的响应规律

王桂林; 贺辰昊; 欧阳啸天; 翟俊; 陈相宇

doi:10.11858/gywlxb.20210874

固体爆炸作用下地铁站台及围岩的响应规律

doi: 10.11858/gywlxb.20210874

王桂林^{1, 2,},
贺辰昊^{1, 2},
欧阳啸天^{1, 2},
翟俊³,
陈相宇¹

1.
重庆大学土木工程学院，重庆　400045
2.
库区环境地质灾害防治国家地方联合工程研究中心（重庆），重庆　400045
3.
重庆大学三峡库区生态环境教育部重点实验室，重庆　400045

基金项目: 国家重点研发计划（2018YFB2101000）

详细信息

作者简介:
王桂林（1970－），男，博士，教授，主要从事岩土工程研究. E-mail：glw@cqu.edu.cn

中图分类号: O382
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出版历程
- 收稿日期: 2021-09-09
- 修回日期: 2021-10-14
- 刊出日期: 2022-05-30

Response Law of Subway Platform and Surrounding Rock under Solid Explosion

WANG Guilin^{1, 2
,},
HE Chenhao^{1, 2},
OUYANG Xiaotian^{1, 2},
ZHAI Jun³,
CHEN Xiangyu¹

1.
School of Civil Engineering, Chongqing University, Chongqing 400045, China
2.
National Joint Engineering Research Center of Geohazards Prevention in the Reservoir Areas, Chongqing 400045, China
3.
Key Laboratory of the Three Gorges Reservoir Region’s Eco-Environment, Chongqing University, Chongqing 400045, China

摘要

摘要: 地铁站内发生爆炸将造成巨大的人员伤亡和财产损失。依托上海某地铁站工程，将HJC模型嵌入开源物质点法程序中，研究了固体炸药爆炸作用下地铁站台及围岩的响应规律。结果表明：受爆炸应力波的影响，站台顶板和底板响应压强在短时间内达到峰值后迅速降低，站台结构在爆炸过程中既存在受拉区又存在受压区；在站台边墙处，由于应力波与反射波叠加，会出现超压突变区；爆炸作用使站台结构整体下沉，且起爆点正下方围岩会形成塌陷坑，起爆点正上方围岩和车站结构相对周围向上隆起；结构受损区域主要集中在结构底板，呈椭圆形；站台有柱区域的抗爆能力强于无柱区域。
- 地铁站台 /
- HJC模型 /
- 爆炸 /
- 结构响应 /
- 物质点法
Abstract: An explosion in the subway station will lead to huge losses of personnel and property. In order to study the response law of subway platform and surrounding rock of a subway station project in Shanghai under the action of solid explosive explosion, HJC model is embedded in the open source material point method program. The results show that the response pressure of platform roof and floor will decrease rapidly after reaching the peak in a short time under the influence of explosion wave, and the platform structure forms tension zone and compression zone during explosion. Due to the superposition of stress wave and reflected wave, overpressure sudden change zone will appear at the platform side wall. The whole platform structure sink under explosion. Moreover, the surrounding rock directly below the detonation point forms a collapse pit, and the surrounding rock directly above the detonation point and the station structure rises up. The damaged area is mainly concentrated in the bottom plate of the structure, and the damaged area is oval. The blast resistance of platform with column area is stronger than that without column area.
- subway platform /
- HJC model /
- explosion /
- structural response /
- material point method

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图 1 混凝土受损因子云图

Figure 1. Nephogram of concrete damage factor

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图 2 子弹剩余速度对比

Figure 2. Comparison of residual velocity of bullet

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图 3 站台内部结构的BIM模型

Figure 3. BIM model of internal structure of the platform

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图 4 站台无柱区域模型

Figure 4. Model of the non-pillar area

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图 5 站台结构柱模型平面图

Figure 5. Plan view of structural column model of the platform

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图 6 爆炸作用下不同时刻结构顶板和底板的压强分布

Figure 6. Pressure distribution of the top and bottom plates of the structure at various times under the explosion loading

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图 7 站台结构顶板中心点处压强随时间变化曲线及局部放大图

Figure 7. Pressure curve at the center point of the top plate with time and its partial enlarged view

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图 8 站台结构底板中心点处压强随时间变化曲线及局部放大图

Figure 8. Pressure curve at the center point of the bottom plate with time and its partial enlarged view

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图 9 爆炸超压分布

Figure 9. Distribution of explosion overpressure

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图 10 人员伤亡区域预测分布

Figure 10. Regional distribution of casualties

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图 11 400 ms时横向和竖向上站台及围岩的位移分布

Figure 11. Displacement distributions of platform and surrounding rock in horizontal and vertical directions at 400 ms

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图 12 站台结构顶板和底板的竖向位移分布

Figure 12. Vertical displacement distributions of the top and bottom plates of the platform structure

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图 13 站台底板下部深坑深度随时间变化曲线

Figure 13. Curve of pit depth under platform bottom plate with time

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图 14 围岩表面质点的相对位移随时间变化曲线

Figure 14. Curves of relative displacement of surrounding rock surface particles with time

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图 15 站台受损因子云图

Figure 15. Nephogram of the damage factor of the platform floor

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表 1 混凝土结构的HJC模型参数

Table 1. HJC model parameters of concrete structure

$\,\rho $/(kg·m^–3)	E/GPa	$\nu $	${ f{'_ {\rm{c} } } }$/MPa	S_max	A	B	N	C	$\varepsilon {_{\min }^{\rm f} }$
2439	32.5	0.2	48	7.0	0.79	1.6	0.61	0.007	0.01

p_crush/GPa	p_lock/GPa	D₁	D₂	K₁/GPa	K₂/GPa	K₃/GPa	v_p/(m·s⁻¹)	v_s/(m·s⁻¹)
0.016	0.8	0.04	1	85	−171	208	3872	2375

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表 2 围岩的物理力学参数

Table 2. Physical and mechanical parameters of surrounding rock

$\,\rho $/(kg·m^–3)	E/GPa	$\nu $	$q{_{\phi}}$/(°)	$K{_{\phi}}$	$q{_{\varPsi} }$/(°)	$\sigma $_t/kPa	v_p/(m·s⁻¹)	v_s/(m·s⁻¹)
1850	0.04	0.35	0.388	11171	0	0.1	185	89

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表 3 空气（空模型）的物理力学参数

Table 3. Physical and mechanical parameters of air (air model)

$\,\rho $/(kg·m^–3)	c/(m·s⁻¹)	E₀/(MJ·m^–3)	$\kappa $	v_p/(m·s⁻¹)	v_s/(m·s⁻¹)
1.29	340	0	1.4	340	0

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表 4 固体爆炸物参数

Table 4. Calculation parameters of solid explosives

$\,\rho $₀/(kg·m^–3)	e₀/(GJ·m^–3)	p_CJ/GPa	$\gamma $	D_J/(m·s^–1)
1500	7.0	21	2.727	6930

A_JWL/GPa	B_JWL/GPa	R₁	R₂	$\omega $
371.2	3.23	4.15	0.95	0.30

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表 5 超压模拟结果与经验公式计算结果对比

Table 5. Comparison of overpressure simulation results and empirical formula calculation results

Distance/m	Overpressure/MPa		Error/%
Distance/m	Theoretical formula	Numerical simulation	Error/%
5	2.35	2.25	4.44
10	0.47	0.52	−7.69

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表 6 站台有柱区域和无柱区域在固体爆炸作用下结构参数的对比

Table 6. Comparison of various parameters under the solid explosion in the pillared and non-pillared areas of the platform

Area	p_m/MPa	R_d/m	n_d	C_d/m²	p_r/MPa	p_f1/MPa
With volumns	6.5	8	1.00	21	5.025	218.0
Without volumns	6.0	5	0.67	13	5.667	110.5
Error/%	−7.69	−37.50	−33.00	−38.10	12.78	−49.31

Area	p_f2/MPa	d_r/m	d_f1/m	d_f2/MPa	d_p/m
With volumns	0.034	0.124	0.188	0.037	1.64
Without volumns	0.041	0.084	0.103	0.089	0.43
Error/%	20.59	−32.26	−45.21	140.54	−73.78

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