基于块系构造的大规模地下爆炸不可逆位移计算方法

李杰; 陈伟; 施存程; 王明洋

doi:10.11883/bzycj-2017-0201

基于块系构造的大规模地下爆炸不可逆位移计算方法

doi: 10.11883/bzycj-2017-0201

李杰^1,,
陈伟^{1, 2},
施存程¹,
王明洋¹

1.
陆军工程大学爆炸冲击防灾减灾国家重点实验室, 江苏南京 210007
2.
军委后勤保障部工程质量监督中心, 北京 100850

基金项目:

国家自然科学基金重大科研仪器研制项目 51527810

国家自然科学基金面上项目 51679249

详细信息

作者简介:
李杰(1981-), 男, 博士, 副教授, lijierf@163.com

中图分类号: O383.1
计量
- 文章访问数: 5414
- HTML全文浏览量: 1345
- PDF下载量: 34
- 被引次数: 0
出版历程
- 收稿日期: 2017-06-12
- 修回日期: 2017-10-25
- 刊出日期: 2018-11-25

Calculation method of irreversible displacement region radius based on block hierarchical structure under large-scale underground explosion

1.
State Key Laboratory of Explosion & Impact and Disaster Prevention & Mitigation, Army Engineering University of PLA, Nanjing 210007, Jiangsu, China
2.
Engineering Quality Supervision Center of Logistics Support Department of the Military Commission, Beijing 100850, China

摘要

摘要: 岩体是复杂的等级构造地质体，本文中假设岩体构造符合Sadovsky院士块系构造等级学说，即岩体中存在稳定的不变量λ和μ_△，从而采用简化的分析模型研究构成岩体的岩块在爆炸地冲击扰动作用下的平动和转动，指出Kocharyan激活块体尺度计算式中忽略的条件，重新推导给出了大规模地下爆炸诱发远区局部不可逆位移计算公式。
- 大规模地下爆炸 /
- 岩体块系构造 /
- 等效平均动能 /
- 局部不可逆变形
Abstract: Rock mass is a geological body with a complex hierarchical structure. Based on Sadovsky's concept of block hierarchy, and considering that there are two stable invariants of λ and μ_△ existing in rock mass, a simplified analytical model is established to study the space-limited rotation and translation under the effect of blast shock waves. With the neglected conditions of Kocharyan's works in calculating scales of activated blocks, the calculation formula of irreversible deformation region radius under large-scale underground explosion is re-derived.
- large-scale underground explosion /
- block hierarchy structure /
- equivalent average kinetic energy /
- local irreversible deformation

HTML全文

图 1 岩体的构造等级示意图

Figure 1. Scheme of block hierarchical structures of rock mass

下载: 全尺寸图片幻灯片

图 2 远处块体在冲击波作用下受限运动

Figure 2. Space-limited movement of the blocks under blast wave

下载: 全尺寸图片幻灯片

图 3 扰动作用下岩块间软弱夹层的局部变形

Figure 3. Local deformation of filling material between neighbouring blocks under disturbance

下载: 全尺寸图片幻灯片

图 4 具有层次构造块体激活以后的宏观位移组成

Figure 4. Composition of the macro-displacement

下载: 全尺寸图片幻灯片

表 1 不同岩石的常数值^[18]

Table 1. Parameters of different rocks

岩石类型	花岗岩	盐岩	凝灰岩
A	(1.0~1.3)×10⁴	(0.8~1.0)×10⁴	(0.3~0.4)×10⁴
n	1.60~1.75	1.60	1.60

下载: 导出CSV

表 2 利用公式(23)计算得到的不可逆位移范围

Table 2. Irreversible displacement region radius calculated by Eq.(23)

花岗岩参数				计算结果
A	n	B	m	R_d	v_*/(m·s^-1)
1.0×10⁴	1.65	1.14×10^-5	2.3	1 128	0.09
1.3×10⁴	1.65	1.14×10^-5	2.3	753	0.20
1.3×10⁴	1.70	1.14×10^-5	2.3	1 308	0.07

下载: 导出CSV

参考文献(21)

[1]	BERGKVIST N O, Ferm R. Nuclear explosions 1945-1998[R]. 2000: 14-15.
[2]	钱七虎.战略防护工程面临的核钻地弹威胁及连续介质力学模型的不适用性[M]//钱七虎院士论文选集.北京: 科学出版社, 2007: 374-380.
[3]	KOCHARYAN G G, SPIVAK A A. Movement of rock blocks during large-scale underground explosions. Part Ⅰ:Experimental data[J]. Journal of Mining Science, 2001, 37(1):64-76. doi: 10.1023/A:1016736919590
[4]	KOCHARYAN G G, SPIVAK A A. Budkov movement of rock blocks during large-scale underground explosion. PartⅡ:Estimates by analytical models, numerical calculations, and comparative analysis of theoretical and experimental data[J]. Journal of Mining Science, 2001, 37(2):149-168. doi: 10.1023/A:1012327627277
[5]	王明洋, 李杰, 邱艳宇, 等.基于能量原理的大规模地下爆炸不可逆位移计算方法[J].爆炸与冲击, 2017, 37(4):685-691. http://www.bzycj.cn/CN/abstract/abstract9769.shtml WANG Mingyang, LI Jie, QIU Yanyu, et al. A calculation method for irreversible deformation region radius under large-scale underground explosion based on law of energy[J]. Explosion and Shock Waves, 2017, 37(4):685-691. http://www.bzycj.cn/CN/abstract/abstract9769.shtml
[6]	MCKEOWN F A, DICKEY D D. Fault displacements and motion related to nuclear explosions[J]. Bulletin of the Seismological Society of America, 1969, 59(6):2253-2269. http://cn.bing.com/academic/profile?id=4158dd0cc52382c27012e886819bc0c1&encoded=0&v=paper_preview&mkt=zh-cn
[7]	GLASSTONE S, DOLAN P J. The effects of nuclear weapons[M]. 3rd ed. United States Department of Defense and the Energy Research and Development Administration. Washington: US Government Printing Office, 1977: 231-275.
[8]	HAMILTON R M, MCKEOWN F A, HEALY J H. Seismic activity and faulting associated with a large underground nuclear explosion[J]. Science, 1969, 166(3905):601-604. doi: 10.1126/science.166.3905.601
[9]	褚玉成.地下核爆炸引起不稳定性岩体的探测[J].爆炸与冲击, 1986, 6(3):261-267. http://www.bzycj.cn/CN/abstract/abstract11084.shtml CHU Yucheng. Observation of the unstable rock mass under an underground nuclear explosion[J]. Explosion and Shock Waves, 1986, 6(3):261-267. http://www.bzycj.cn/CN/abstract/abstract11084.shtml
[10]	ADUSHKIN V V, OPARIN V N. From the alternating-sign explosion response of rocks to the pendulum waves in stressed geomedia. PartⅠ[J]. Journal of Mining Science, 2012, 48(2):203-222. doi: 10.1134/S1062739148020013
[11]	ADUSHKIN V V, OPARIN V N. From the alternating-sign explosion response of rocks to the pendulum waves in stressed geomedia. Part Ⅲ[J]. Journal of Mining Science, 2014, 50(4):623-645. doi: 10.1134/S1062739114040024
[12]	钱七虎, 王明洋.岩土中的爆炸冲击效应[M].北京:国防工业出版社, 2010:85-89.
[13]	ADUSHKIN V V, SPIVAK A A. Underground explosions, chapter 8: the influence of faults, joints, and fractures, on mechanical effects of underground nuclear explosions[M]. Translated from Russian to English by Anastasia Stroujkova and Paul Richards, Washington: Weston Geophysical Corp, 2015: 431-479.
[14]	SADOVSKY M A. Natural lumpiness of rocks[J]. Doklady AN SSSR, 1979, 247(4):829-832.
[15]	KURLENYA M V, OPARIN V N. Problems of nonlinear geomechanics. PartⅠ[J]. Journal of Mining Science, 1999, 35(3):216-230. doi: 10.1007/BF02550237
[16]	戚承志, 钱七虎, 王明洋, 等.岩体的构造层次及其成因[J].岩石力学与工程学报, 2005, 24(16):2838-2846. doi: 10.3321/j.issn:1000-6915.2005.16.005 QI Chengzhi, QIAN Qihu, WANG Mingyang, et al. Structural hierarchy of rock massif and mechanism of its formation[J]. Chinese Journal of Rock Mechanics and Engineering, 2005, 24(16):2838-2846. doi: 10.3321/j.issn:1000-6915.2005.16.005
[17]	SADOVSKY M A, VOLKHOVITINOV L G, PISAPENKO V F. Deformation of geophysical medium and seismic process[M]. Moscow:Science Press, 1987.
[18]	RADIONOV V N, ADUSHKIN V V, ROMASHEV. Mechanical effect of an underground explosion[M]. Moscow:Nedra, 1971.
[19]	周钟, 王肖钧, 肖卫国, 等.花岗岩介质中地下爆炸震源函数研究[J].爆炸与冲击, 2007, 27(1):18-25. doi: 10.3321/j.issn:1001-1455.2007.01.004 ZHOU Zhong, WANG Xiaojun, XIAO Weiguo, et al. Study on the main characteristics of underground explosion seismic source function in granite[J]. Explosion and Shock Waves, 2007, 27(1):18-25. doi: 10.3321/j.issn:1001-1455.2007.01.004
[20]	刘文韬, 王肖钧, 周钟, 等.一种岩石损伤本构模型在地下强爆炸中的应用[J].爆炸与冲击, 2003, 23(3):207-213. doi: 10.3321/j.issn:1001-1455.2003.03.003 LIU Wentao, WANG Xiaojun, ZHOU Zhong, et al. A damage constitutive model of rocks and its applications in underground explosion[J]. Explosion and Shock Waves, 2003,23(3):207-213. doi: 10.3321/j.issn:1001-1455.2003.03.003
[21]	钱七虎.岩石爆炸动力学的若干进展[J].岩石力学与工程学报,2009,28(10):1945-1968. doi: 10.3321/j.issn:1000-6915.2009.10.001 QIAN Qihu. Some advances in rock blasting dynamics[J]. Chinese Journal of Rock Mechanics and Engineering, 2009,28(10):1945-1968. doi: 10.3321/j.issn:1000-6915.2009.10.001