基于RHT本构的隧道爆破参数优化与振动损伤数值研究

汪大为; 王志亮; 汪书敏

doi:10.16030/j.cnki.issn.1000-3665.202210009

基于RHT本构的隧道爆破参数优化与振动损伤数值研究

合肥工业大学土木与水利工程学院, 安徽合肥　230009

基金项目: 国家自然科学基金项目（U1965101）；国家自然科学基金项目（12272119）

详细信息

作者简介: 汪大为（1998-），男，硕士研究生，从事岩石动力学研究。E-mail：DavidW0564335@163.com

通讯作者: 王志亮（1969-），男，博士，教授，博士生导师，主要从事岩石力学特性与损伤破坏机理研究。E-mail：cvewzL@hfut.edu.cn

中图分类号: U45

收稿日期: 2022-10-08

修回日期: 2023-02-17

录用日期: 2023-09-06

刊出日期: 2023-11-15

Numerical study of tunnel blasting parameter optimization and vibration damage based on the RHT constitutive model

School of Civil and Hydraulic Engineering, Hefei University of Technology, Hefei, Anhui　230009, China

More Information

Corresponding author: WANG Zhiliang, cvewzL@hfut.edu.cn

Received Date: 08 October 2022

Revised Date: 17 February 2023

Accepted Date: 06 September 2023

Publish Date: 15 November 2023

摘要

摘要:
为了解决爆破参数优化问题以及考虑炮孔间相互作用对围岩损伤空间分布的影响，先利用数值试算与冲击试验相对照的方法，标定出大理岩Riedel-Hiermaier-Thoma本构模型参数。接着，对隧道全断面爆破开挖开展模拟计算，考察了多炮孔间相互作用下围岩爆破损伤演化过程。最后，基于起爆顺序、径向不耦合系数和分段间隔装药3种方法来优化爆破参数，并对质点振动和围岩损伤进行了深入分析。结果表明：标定所得的本构参数可准确描述大理岩动态应力-应变响应，且模拟结果能很好地揭示爆破损伤演化规律；岩石损伤从爆心处向外发展，随后在炮孔连线上连接贯通；相比于上述其他2种方法，当径向不耦合系数k小于1.33时，在保证爆破效果前提下改变k值能有效地降低围岩的爆破损伤；隧道竖向平均振动速度要大于水平向的对应值，且竖向拱顶和底板中部对爆破振动呈现较高的敏感性。研究结果为工程实践中爆破参数优化选取和围岩损伤精确评估等可提供参考。
- 大理岩 /
- 隧道爆破 /
- 参数优化 /
- 损伤演化 /
- 数值模拟
Abstract:
To solve the optimization problem of blasting parameters and consider the influence of interaction between blastholes on the spatial distribution of surrounding rock damage, the Riedel-Hiermaier-Thoma constitutive model parameters of marble were first calibrated from numerical trial calculation and impact test. Then, the blasting excavation of a tunnel in full section was numerically simulated, and the evolution process of blasting damage of surrounding rocks under the interaction of multiple boreholes was investigated. Finally, the blasting parameters were optimized based on the three methods of initiation sequence, radial uncoupling coefficient and segmented interval charge, and the particle vibration and surrounding rock damage were further analyzed. The results show that the obtained constitutive parameters accurately describe the dynamic stress-strain response of the marble, and the simulated results can well reveal the evolution law of blasting damage. The rock damage develops outward from the blasthole center, and then the damage is connected and coalesced along the borehole connection line. Compared with the aforementioned other two methods, when the radial uncoupling coefficient k is less than 1.33, the blast damage of surrounding rock can be effectively reduced by changing the k value on the premise of ensuring the blasting effect. The average vibration velocity in the vertical direction of tunnel is greater than that in the horizontal direction, and the apex of arch and the middle of floor in this direction are more sensitive to blasting vibration. The research results in this study can provide reference for optimum selection of blasting parameters and accurate evaluation of surrounding rock damage in practical engineering.
- marble /
- tunnel blasting /
- parameter optimization /
- damage evolution /
- numerical simulation

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图 1 SHPB装置

Figure 1.

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图 2 试样应力-应变曲线

Figure 2.

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图 3 试样的破坏形态对比

Figure 3.

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图 4 炮孔布置（单位：cm）

Figure 4.

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图 5 数值模型及网格划分

Figure 5.

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图 6 正常起爆下不同时刻爆破损伤

Figure 6.

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图 7 预裂爆破损伤

Figure 7.

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图 8 不同耦合系数爆破损伤

Figure 8.

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图 9 装药结构分类

Figure 9.

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图 10 不同装药结构爆破损伤

Figure 10.

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图 11 代表性监测点

Figure 11.

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图 12 不同位置的合速度时间曲线

Figure 12.

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图 13 速度峰值空间分布图

Figure 13.

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表 1 锦屏大理岩RHT模型参数

Table 1. RHT model parameters of the Jinping marble

参数	取值	参数	取值	参数	取值
ρ₀ /（kg·m⁻³）	2812	F_t^*	0.10	P_crush /MPa	87
G /GPa	16.9	F_s^*	0.19	G_c^*	0.8
f_c /MPa	130	A₁ /GPa	30.42	G_t^*	0.7
N	0.615	A₂ /GPa	51.47	XI	0.7
β_t	0.0133	A₃ /GPa	31.46	D₁	0.04
B₀	0.9	Q₀	0.7	D₂	1
B₁	0.9	B	0.0105	β_c	0.0097
α₀	1.0	EOC /（s⁻¹）	3.0E-5	A_f	1.3
T₁ /GPa	30.42	EOT /（s⁻¹）	3.0E-6	N_f	0.7
P_lock /GPa	8	A	2.34	N_p	3

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表 2 炸药JWL方程参数

Table 2. JWL equation of state parameters of explosive

参数	A_J /GPa	B_J /GPa	R₁	R₂	ɷ	P_J /GPa	E_J /GPa
取值	625	23.3	5.25	1.6	0.28	22	8.56

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参考文献(18)

[1]	王伟祥,王志亮,贾帅龙,等. 动态载荷下大理岩断口形貌特征试验研究[J]. 水文地质工程地质,2022,49(3):118 − 124. [WANG Weixiang,WANG Zhiliang,JIA Shuailong,et al. An experimental study of the fracture morphology of marble under dynamic loading[J]. Hydrogeology & Engineering Geology,2022,49(3):118 − 124. (in Chinese with English abstract) WANG Weixiang, WANG Zhiliang, JIA Shuailong, et al. An experimental study of the fracture morphology of marble under dynamic loading[J]. Hydrogeology & Engineering Geology, 2022, 49（3）: 118 − 124. （in Chinese with English abstract）
[2]	吴运杰. 高地应力隧道岩爆破坏机理及硐室稳定性研究[D]. 北京:北京交通大学,2019. [WU Yunjie. Study on rock burst failure mechanism and chamber stability of high geostress tunnel[D]. Beijing:Beijing Jiaotong University,2019. (in Chinese with English abstract) WU Yunjie. Study on rock burst failure mechanism and chamber stability of high geostress tunnel[D]. Beijing: Beijing Jiaotong University, 2019. （in Chinese with English abstract）
[3]	钟靖涛,王志亮,田诺成. 花岗岩循环爆破振动衰减规律与损伤演化机理试验[J]. 水文地质工程地质,2019,46(3):101 − 107. [ZHONG Jingtao,WANG Zhiliang,TIAN Nuocheng. An experiment of attenuation law of vibration and evolution mechanism of damage of granite under cyclic blasting[J]. Hydrogeology & Engineering Geology,2019,46(3):101 − 107. (in Chinese with English abstract) doi: 10.16030/j.cnki.issn.1000-3665.2019.03.14 ZHONG Jingtao, WANG Zhiliang, TIAN Nuocheng. An experiment of attenuation law of vibration and evolution mechanism of damage of granite under cyclic blasting[J]. Hydrogeology & Engineering Geology, 2019, 46（3）: 101 − 107. （in Chinese with English abstract） doi: 10.16030/j.cnki.issn.1000-3665.2019.03.14
[4]	姜守国, 罗帅兵, 蒋楠, 等. 深埋层状围岩引水隧洞直眼掏槽爆破技术优化[J]. 地质科技通报,2023,42(5):20 − 26. [JIANG Shouguo, LUO Shuaibing, JIANG Nan, et al. Optimization of direct-hole cutting blasting technology for deep-buried layered surrounding rock diversion tunnels[J]. Bulletin of Geological Science and Technology,2023,42(5):20 − 26.(in Chinese with English abstract) JIANG Shouguo, LUO Shuaibing, JIANG Nan, et al. Optimization of direct-hole cutting blasting technology for deep-buried layered surrounding rock diversion tunnels[J]. Bulletin of Geological Science and Technology, 2023, 42（5）: 20 − 26.（in Chinese with English abstract）
[5]	王子琛,李祥龙,王惠芬,等. 基于正交设计模拟实验的预裂爆破参数优化方法研究[J]. 有色金属工程,2021,11(5):96 − 101. [WANG Zichen,LI Xianglong,WANG Huifen,et al. Study on optimization method of pre-splitting blasting parameters based on orthogonal design simulation experiment[J]. Nonferrous Metals Engineering,2021,11(5):96 − 101. (in Chinese with English abstract) doi: 10.3969/j.issn.2095-1744.2021.05.015 WANG Zichen, LI Xianglong, WANG Huifen, et al. Study on optimization method of pre-splitting blasting parameters based on orthogonal design simulation experiment[J]. Nonferrous Metals Engineering, 2021, 11（5）: 96 − 101. （in Chinese with English abstract） doi: 10.3969/j.issn.2095-1744.2021.05.015
[6]	刘优平,龚敏,黄刚海. 深孔爆破装药结构优选数值分析方法及其应用[J]. 岩土力学,2012,33(6):1883 − 1888. [LIU Youping,GONG Min,HUANG Ganghai. Numerical analysis method for optimizing charging structure of deep-hole blasting and its application[J]. Rock and Soil Mechanics,2012,33(6):1883 − 1888. (in Chinese with English abstract) doi: 10.3969/j.issn.1000-7598.2012.06.043 LIU Youping, GONG Min, HUANG Ganghai. Numerical analysis method for optimizing charging structure of deep-hole blasting and its application[J]. Rock and Soil Mechanics, 2012, 33（6）: 1883 − 1888. （in Chinese with English abstract） doi: 10.3969/j.issn.1000-7598.2012.06.043
[7]	杨跃宗,邵珠山,熊小锋,等. 岩石爆破中径向和轴向不耦合装药的对比分析[J]. 爆破,2018,35(4):26 − 33. [YANG Yuezong,SHAO Zhushan,XIONG Xiaofeng,et al. Comparison of radial and axial uncoupled charge in rock blasting[J]. Blasting,2018,35(4):26 − 33. (in Chinese with English abstract) doi: 10.3963/j.issn.1001-487X.2018.04.005 YANG Yuezong, SHAO Zhushan, XIONG Xiaofeng, et al. Comparison of radial and axial uncoupled charge in rock blasting[J]. Blasting, 2018, 35（4）: 26 − 33. （in Chinese with English abstract） doi: 10.3963/j.issn.1001-487X.2018.04.005
[8]	殷锦训,王维,游喻豪,等. 湖北三鑫金铜矿扇形中深孔爆破参数优化数值模拟研究[J]. 爆破,2022,39(2):85 − 93. [YIN Jinxun,WANG Wei,YOU Yuhao,et al. Numerical simulation of Sanxin gold and copper mine in Hubei Province blasting parameters[J]. Blasting,2022,39(2):85 − 93. (in Chinese with English abstract) doi: 10.3963/j.issn.1001-487X.2022.02.013 YIN Jinxun, WANG Wei, YOU Yuhao, et al. Numerical simulation of Sanxin gold and copper mine in Hubei Province blasting parameters[J]. Blasting, 2022, 39（2）: 85 − 93. （in Chinese with English abstract） doi: 10.3963/j.issn.1001-487X.2022.02.013
[9]	HE Meng,HU Yehong,CHEN Jin,et al. Numerical simulation study on parameter optimization of time sequential controlled blasting[J]. Shock and Vibration,2022,2022:1 − 12.
[10]	YANG Jianhua,LU Wenbo,HU Yingguo,et al. Numerical simulation of rock mass damage evolution during deep-buried tunnel excavation by drill and blast[J]. Rock Mechanics and Rock Engineering,2015,48(5):2045 − 2059. doi: 10.1007/s00603-014-0663-0
[11]	王海亮,高尚,张海义. 高地应力岩石双孔爆破损伤演化研究[J]. 工程爆破,2022,28(2):1 − 6. [WANG Hailiang,GAO Shang,ZHANG Haiyi. Research on damage evolution of rock caused by double-hole blasting under high in situ stress[J]. Engineering Blasting,2022,28(2):1 − 6. (in Chinese with English abstract) doi: 10.3969/j.issn.1006-7051.2022.2.gcbp202202002 WANG Hailiang, GAO Shang, ZHANG Haiyi. Research on damage evolution of rock caused by double-hole blasting under high in situ stress[J]. Engineering Blasting, 2022, 28（2）: 1 − 6. （in Chinese with English abstract） doi: 10.3969/j.issn.1006-7051.2022.2.gcbp202202002
[12]	HOLMQUIST T,JOHNSON G R. A computational constitutive model for glass subjected to large strains,high strain rates and high pressures[J]. Journal of Applied Mechanics,2011,78:051003. doi: 10.1115/1.4004326
[13]	BORRVALL T,RIEDEL W. The RHT concrete model in LS-DYNA[C]//Proceedings of the 8th European LS-DYNA users conference. Strasbourg,2011.
[14]	WANG Zhiliang,WANG Haochen,WANG Jianguo,et al. Finite element analyses of constitutive models performance in the simulation of blast-induced rock cracks[J]. Computers and Geotechnics,2021,135:104172. doi: 10.1016/j.compgeo.2021.104172
[15]	李洪超,刘殿书,赵磊,等. 大理岩RHT模型参数确定研究[J]. 北京理工大学学报,2017,37(8):801 − 806. [LI Hongchao,LIU Dianshu,ZHAO Lei,et al. Study on parameters determination of marble RHT model[J]. Transactions of Beijing Institute of Technology,2017,37(8):801 − 806. (in Chinese with English abstract) doi: 10.15918/j.tbit1001-0645.2017.08.006 LI Hongchao, LIU Dianshu, ZHAO Lei, et al. Study on parameters determination of marble RHT model[J]. Transactions of Beijing Institute of Technology, 2017, 37（8）: 801 − 806. （in Chinese with English abstract） doi: 10.15918/j.tbit1001-0645.2017.08.006
[16]	李傲,王志亮,封陈晨,等. 动态冲击下锦屏大理岩力学响应与能量特性[J]. 水文地质工程地质,2022,49(5):112 − 118. [LI Ao,WANG Zhiliang,FENG Chenchen,et al. Mechanical response and energy characteristics of Jinping marble under dynamic impact[J]. Hydrogeology & Engineering Geology,2022,49(5):112 − 118. (in Chinese) LI Ao, WANG Zhiliang, FENG Chenchen, et al. Mechanical response and energy characteristics of Jinping marble under dynamic impact[J]. Hydrogeology & Engineering Geology, 2022, 49（5）: 112 − 118. （in Chinese）.
[17]	WANG Jianxiu,YIN Yao,LUO Chuanwen. Johnson–holmquist-II(JH-2) constitutive model for rock materials:parameter determination and application in tunnel smooth blasting[J]. Applied Sciences,2018,8(9):1675. doi: 10.3390/app8091675
[18]	戴俊. 柱状装药爆破的岩石压碎圈与裂隙圈计算[J]. 辽宁工程技术大学学报(自然科学版),2001,20(2):144 − 147. [DAI Jun. Calculation of radii of the broken and cracked areas in rock by a long charge explosion[J]. Journal of Liaoning Technical University (Natural Science Edition),2001,20(2):144 − 147. (in Chinese with English abstract) DAI Jun. Calculation of radii of the broken and cracked areas in rock by a long charge explosion[J]. Journal of Liaoning Technical University （Natural Science Edition）, 2001, 20（2）: 144 − 147. （in Chinese with English abstract）