Study on catastrophe instability criterion of layered surrounding rock in tunnel under blasting

doi:10.16265/j.cnki.issn1003-3033.2024.01.2440

Abstract

Abstract:

In order to judge the stability of the surrounding rock in a tunnel under the blasting vibration and damage, the mechanics model was established according to the instability characteristics of the layered surrounding rock. Considering the blasting damage and vibration effect, the total potential energy equation and catastrophe instability criterion were established, and the stability evolution law of tunnel under blasting was analyzed. Taking Yaojia tunnel in Hunan of Shanghai-Kunming high-speed railway as an engineering background, the stability of the layered surrounding rock in the tunnel was analyzed. The results show that the necessary and sufficient condition for the catastrophe instability of layered surrounding rock in the tunnel satisfies the bifurcation equation, that is, when the mutation eigenvalue Δ≤0, the system may suffer catastrophe instability. The cumulative effect of blasting results in the continuous reduction of surrounding rock stiffness, and the increase of blasting charge aggravates the blasting vibration effect, both of which increase instability probability for stratified surrounding rock. The actual instability evaluation results are consistent with the construction site situation and monitoring results, which verifies the effectiveness of the instability criterion.

Key words: blasting effect, layered surrounding rock tunnel, instability criterion, catastrophe theory, stability

CLC Number:

PENG Yaxiong, ZHOU Zipei, YAO Yingkang, LIU Yunsi, ZUO Qingjun. Study on catastrophe instability criterion of layered surrounding rock in tunnel under blasting[J]. China Safety Science Journal, 2024, 34(1): 171-178.

Figures/Tables 9

Fig.1

Fig.2

Fig.3

Fig.4

Tab.1

Fig.5

Tab.2

Fig.6

Fig.7

References 20

[1]	ZHOU Yangyi, FENG Xiating, XU Dingping, et al. Experimental investigation of the mechanical behavior of bedded rocks and its implication for high sidewall caverns[J]. Rock Mechanics and Rock Engineering, 2016, 49(9): 3643-3669. doi: 10.1007/s00603-016-1018-9
[2]	李二强, 冯吉利, 张龙飞, 等. 水-岩及风化作用下层状炭质板岩巴西劈裂试验研究[J]. 岩土工程学报, 2021, 43(2): 329-337.
	LI Erqiang, FENG Jili, ZHANG Longfei, et al. Brazilian tests on layered carbonaceous slate under water-rock interaction and weathering[J]. Chinese Journal of Geotechnical Engineering, 2021, 43(2): 329-337.
[3]	夏彬伟, 胡科, 卢义玉, 等. 深埋隧道层状岩体破坏过程特征模型试验[J]. 中国公路学报, 2012, 25(1): 107-114.
	XIA Binwei, HU Ke, LU Yiyu, et al. Model test for characteristics of failure process of layered rock mass in deep buried tunnel[J]. China Journal of Highway and Transport, 2012, 25(1): 107-114.
[4]	温建永. 层状岩体隧道病害机理分析及整治措施研究[J]. 铁道科学与工程学报, 2017, 14(5): 1024-1028.
	WEN Jianyong. Research on the damage of structure and its treatment for a tunnel constructed in interbedded rock mass[J]. Journal of Railway Science and Engineering, 2017, 14(5): 1024-1028.
[5]	黄智刚, 左清军, 吴立, 等. 水岩作用下泥质板岩软化非线性机制研究[J]. 岩土力学, 2020, 41(9): 2931-2942.
	HUANG Zhigang, ZUO Qingjun, WU Li, et al. Nonlinear softening mechanism of argillaceous slate under water-rock interaction[J]. Rock and Soil Mechanics, 2020, 41(9): 2931-2942.
[6]	王登科, 骆建军, 文绍全, 等. 岩层倾角对层状偏压隧道围岩稳定性影响分析[J]. 北京交通大学学报, 2022, 46(3): 95-102. doi: 10.11860/j.issn.1673-0291.20210069
	WANG Dengke, LUO Jianjun, WEN Shaoquan, et al. Influence analysis of rock dip angle on surrounding rock stability of layered unsymmetrical-loaded tunnel[J]. Journal of Beijing Jiaotong University, 2022, 46(3): 95-102. doi: 10.11860/j.issn.1673-0291.20210069
[7]	吴亮, 李凤, 卢文波, 等. 爆破扰动下邻近层状围岩隧道的稳定性与振速阈值[J]. 爆炸与冲击, 2017, 37(2): 208-214.
	WU Liang, LI Feng, LU Wenbo, et al. Vibration velocity threshold of a tunnel adjacent to surrounding layered rocks under blasting load[J]. Explosion and Shock Waves, 2017, 37(2): 208-214.
[8]	MA Longhao, JIANG Xiang, CHEN Jie et al. Analysis of damages in layered surrounding rocks induced by blasting during tunnel construction[J]. International Journal of Structural Stability and Dynamics, 2021, 21(7): DOI: 10.1142/S0219455421500899.
[9]	姜永东, 鲜学福, 郭臣业. 层状岩质边坡失稳的燕尾突变模型[J]. 重庆大学学报, 2008, 31(5): 553-557.
	JIANG Yongdong, XIAN Xuefu, GUO Chenye. A swallowtail catastrophe model on destabilization of stratified rock slope[J]. Journal of Chongqing University, 2008, 31(5): 553-557.
[10]	穆成林, 裴向军, 路军富, 等. 基于尖点突变模型巷道层状围岩失稳机制及判据研究[J]. 煤炭学报, 2017, 42(6): 1429-1435.
	MU Chenglin, PEI Xiangjun, LU Junfu, et al. Study on the instability criterion of layered rock mass failure based on the cusp catastrophe theory[J]. Journal of China Coal Society, 2017, 42(6): 1429-1435.
[11]	罗彦斌, 陈建勋, 王利宝, 等. 考虑层间黏聚力的水平层状围岩隧道顶板力学模型计算[J]. 中国公路学报, 2018, 31(10): 230-237,265.
	LUO Yanbin, CHEN Jianxun, WANG Libao, et al. Mechanical model calculations of tunnel roof with horizontal stratified rock mass tunneling considering the interlayer cohesion[J]. China Journal of Highway and Transport, 2018, 31(10): 230-237,265.
[12]	秦四清, 王思敬, 孙强, 等. 非线性岩土力学基础[M]. 北京: 地质出版社, 2008: 37-38.
[13]	付晓强, 俞缙. 冻结立井爆破井壁振动与围岩损伤控制研究[J]. 中国安全科学学报, 2021, 31(9): 67-74. doi: 10.16265/j.cnki.issn1003-3033.2021.09.010
	FU Xiaoqiang, YU Jin. Shaft lining vibration and surrounding rock damage control after freezing shaft blasting[J]. China Safety Science Journal, 2020, 31(9):67-74.
[14]	朱传云, 喻胜春. 爆破引起岩体损伤的判别方法研究[J]. 工程爆破, 2001, 7(1): 12-16.
	ZHU Chuanyun, YU Shengchun. Study on the criterion of rockmass damage caused by blasting[J]. Engineering Blasting, 2001, 7(1): 12-16.
[15]	王智德, 马祖遥. 爆破荷载作用下顺层岩质边坡的损伤特性研究[J]. 中国安全科学学报, 2018, 28(11): 72-79. doi: 10.16265/j.cnki.issn1003-3033.2018.11.012
	WANG Zhide, MA Zuyao. Research on damage characteristics of rock bedding under blasting load[J]. China Safety Science Journal, 2018, 28(11): 72-79. doi: 10.16265/j.cnki.issn1003-3033.2018.11.012
[16]	王家臣, 孙书伟. 露天矿边坡工程[M]. 北京: 科学出版社, 2016: 26-29.
[17]	温森, 赵延喜. 深埋隧洞层状围岩变形分析[J]. 金属矿山, 2009(4): 11-15.
	WEN Sen, ZHAO Yanxi. Analysis of the deformation of stratified rock surrounding deep tunnels[J]. Metal Mine, 2009(4): 11-15.
[18]	彭亚雄, 刘广进, 黄智刚, 等. 穿越富水断层带隧道爆破围岩突变失稳判据研究[J]. 中国安全科学学报, 2022, 32(5): 104-111. doi: 10.16265/j.cnki.issn1003-3033.2022.05.0887
	PENG Yaxiong, LIU Guangjin, HUANG Zhigang, et al. Study on catastrophe instability criterion of surrounding rock in tunnels blasting crossing water-rich fault zones[J]. China Safety Science Journal, 2022, 32(5): 104-111. doi: 10.16265/j.cnki.issn1003-3033.2022.05.0887
[19]	GB/T50266—2013, 工程岩体试验方法标准[S].
	GB/T50266-2013, Standard for test methods of engineering rock mass[S].
[20]	GB6722—2014, 爆破安全规程[S].
	GB6722-2014, Safety regulations for blasting[S].

断面里程	计算参数	累积爆破次数
断面里程	计算参数	0	5	10	15
DK380+837	v_i/(m·s^-1)	3 786	3 619	3 428	3 185
DK380+837	D	0	0.086	0.180	0.292
DK381+263	v_i/(m·s^-1)	3 931	3 770	3 584	3 347
DK381+263	D	0	0.080	0.169	0.275
DK384+029	v_i/(m·s^-1)	4 047	3 885	3 700	3 478
DK384+029	D	0	0.078	0.164	0.261

断面里程	围岩物理力学参数									爆破与振动参数
断面里程	γ_c/(kN·m^-3)	E₀/GPa	I	l/m	h/cm	α/(°)	τ/kPa	c/MPa	φ/(°)	K	ζ	f/Hz	Q/kg
DK380+837	26.4	35.58	0.01	5.2	5.0	32	60	0.20	26	179	1.42	25.5	22.6
DK381+263	25.3	32.52	0.01	5.1	5.0	41	50	0.22	26	256	1.80	21.3	23.8
DK384+029	26.8	34.87	0.01	4.9	5.0	62	55	0.21	26	209	1.54	26.4	24.2