具有复杂层次结构的二维离散块系岩体中摆型波与旋转波研究

doi:10.13722/j.cnki.jrme.2023.0720

Abstract
Figure/Table
References (0)
Related Citation (15)

Download: PDF (927 KB) HTML (1 KB)
Export: BibTeX | EndNote (RIS)

Abstract Rock masses consist of nesting rock blocks with various scales separated by weak structural layers，and their complex hierarchical structures play a significant role in dynamic deformation and stress wave propagation. In this paper，based on the Cosserat theory，a dynamic model of pendulum-type and rotational waves in blocky rock mass with complex hierarchical structures is established to determine the influence of hierarchical structures on dynamic deformation. Then，aiming at low-frequency and low-velocity characteristics of pendulum-type waves，dispersion equations of waves are determined and solved in different hierarchical structures based on the Bloch theorem，and furthermore，the dispersion relation and velocity characteristics of waves are investigated. Finally，mechanism of low-frequency characteristics of pendulum-type waves is revealed on the basis of solid energy band theory，and the possibility of pendulum-type and rotational waves inducing rock bursts is discussed based on the research results. It is indicated that ignoring higher-order hierarchical structures of rock masses may underestimate displacement and overall deformation of rock masses，resulting in unsafe numerical results. Under the action of long wave disturbance，for the first mode pendulum-type waves(the acoustic branches)，the dispersion is not significant and propagation velocity decreases，and higher-order hierarchical structures inside rock masses hinder the wave propagation. However，the dispersion of other waves(the optical branches) is significant so that they hardly exist and propagate independently. The low-frequency pendulum-type waves are dominant，which have slower attenuation and longer propagation distance than the high-order mode waves and traditional P and S-waves.

Key words： rock mechanics blocky rock masses pendulum-type waves rotational waves hierarchical structures dispersion relation Cosserat theory

	Service

	E-mail this article
	Add to my bookshelf
	Add to citation manager
	E-mail Alert
	RSS
	Articles by authors
	JIANG Kuan1
	2
	LU Chunsheng3
	QI Chengzhi4
	5
	WANG Zefan4
	5

Cite this article:

JIANG Kuan1,2,LU Chunsheng3, et al. Research on pendulum-type and rotational waves in 2D discrete blocky rock masses with complex hierarchical structures[J]. , 2024, 43(2): 424-438.

URL:

http://rockmech.whrsm.ac.cn/EN/10.13722/j.cnki.jrme.2023.0720 OR http://rockmech.whrsm.ac.cn/EN/Y2024/V43/I2/424

[16]	KURLENYA M V，OPARIN V N，VOSTRIKOV V I. One approach to the prediction of rock bursts[J]. Journal of Mining Science，1998，34(6)：471-481.
[26]	姜宽，戚承志，卢真辉，等. 考虑双模量特性的块系岩体摆型波传播规律研究[J]. 振动与冲击，2020，39(24)：171-178.(JIANG Kuan，QI Chengzhi，LU Zhenhui，et al. A study on the propagation law of pendulum-type wave in block-rock mass considering bimodulus characteristic[J]. Journal of Vibration and Shock，2020，39(24)：171-178.(in Chinese))
[36]	李杰，陈伟，施存程，等. 基于块系构造的大规模地下爆炸不可逆位移计算方法[J]. 爆炸与冲击，2018，38(6)：1 271-1 277.(LI Jie，CHEN Wei，SHI Cuncheng，et al. Calculation method of irreversible displacement region radius based on block hierarchical structure under large-scale underground explosion[J]. Explosion and Shock Waves，2018，38(6)：1 271-1 277.(in Chinese))
[30]	HU L，GHASSEMI A. Heat production from lab-scale enhanced geothermal systems in granite and gabbro[J]. International Journal of Rock Mechanics and Mining Sciences，2020，126：1-14.
[32]	李杰，王明洋，蒋海明，等. 爆炸与冲击中的非线性岩石力学问题(I)：一维块系岩体波动特性的试验研究[J]. 岩石力学与工程学报，2018，37(1)：38-50.(LI Jie，WANG Mingyang，JIANG Haiming，et al. Nonlinear mechanical problems in rock explosion and shock. Part Ⅰ：Experimental research on properties of one-dimensional wave propagation in block rock masses[J]. Chinese Journal of Rock Mechanics and Engineering，2018，37(1)：38-50.(in Chinese))
[34]	王明洋，周泽平，钱七虎. 深部岩体的构造和变形与破坏问题[J]. 岩石力学与工程学报，2006，25(3)：448-455.(WANG Mingyang，ZHOU Zeping，QIAN Qihu. Tectonic，deformation and failure problems of deep rock mass[J]. Chinese Journal of Rock Mechanics and Engineering，2006，25(3)：448-455.(in Chinese))
[40]	王凯兴，薛佳琪，潘一山，等. 岩块间软弱介质对块系岩体摆型波传播影响试验研究[J]. 振动与冲击，2022，41(24)：298-304. (WANG Kaixing，XUE Jiaqi，PAN Yishan，et al. Experimental study on the influence of weak medium in block rock mass partings on the pendulum wave peopagation[J]. Journal of Vibration and Shock，2022，41(24)：298-304.(in Chinese))
[37]	WANG X，WAN S，ZHOU P，et al. Topology optimization of periodic pile barriers and its application in vibration reduction for plane waves[J]. Soil Dynamics and Earthquake Engineering，2022，153： 1-16.
[39]	JIANG K，QI C Z. Dispersion relation and dynamic properties of pendulum-type waves caused by low-frequency vibrations in blocky rock masses with complex block-hierarchical structures[J]. Journal of Vibration Engineering and Technologies，2023，https：//doi.org/ 10.1007/s42417-023-01178-y.
[7]	KURLENYA M V，OPARIN V N. Problems of nonlinear geomechanics. Part I[J]. Journal of Mining Science，1999，35(3)：216-230.
[1]	KURLENYA M V，OPARIN V N. Sign-variable reaction of rocks to dynamic impacts[J]. Soviet Mining Science，1990，26(4)：291-300.
[3]	KURLENYA M V，OPARIN V N，VOSTRIKOV V I，et al. Pendulum waves. Part III：data of on-site observations[J]. Journal of Mining Science，1996，32(5)：341-361.
[5]	OPARIN V N，BALMASHNOVA E G，VOSTRIKOV V I. On dynamic behavior of“self-stressed”block media. Part II：comparison of theoretical and experimental data[J]. Journal of Mining Science，2001，37(5)：455-461.
[11]	潘一山，肖永惠，李忠华，等. 冲击地压矿井巷道支护理论研究及应用[J]. 煤炭学报，2014，39(2)：222-228.(PAN Yishan，XIAO Yonghui，LI Zhonghua，et al. Study of tunnel support theory of rockburst in coal mine and its application[J]. Journal of China Coal Society，2014，39(2)：222-228.(in Chinese))
[31]	SHI Z F，CHENG Z B，XIANG H J. Seismic isolation foundations with effective attenuation zones[J]. Soil Dynamics and Earthquake Engineering，2014，57：143-151.
[8]	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)：2 838-2 846.(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)：2 838-2 846.(in Chinese))
[13]	王凯兴，吴佳成，潘一山，等. 巷道吸能支护的减震防冲效应分析[J]. 工程力学，2023，40(6)：204-212.(WANG Kaixing，WU Jiacheng，PAN Yishan，et al. Analysis of shock absorption and anti-impact effect of energy-absorbing support in roadway[J]. Engineering Mechanics，2023，40(6)：204-212.(in Chinese))
[15]	ADUSHKIN V V，OPARIN V N. From the alternating-sign explosion response of rocks to the pendulum waves in stressed geomedia. Part I[J]. Journal of Mining Science，2012，48(2)：203-222.
[18]	SARAIKIN V A. Calculation of wave propagation in the two-dimensional assembly of rectangular blocks[J]. Journal of Mining Science，2008，44(4)：353-362.
[21]	SULEM J，MÜHLHAUS H B. A continuum model for periodic two-dimensional block structures[J]. Mechanics of Cohesive-frictional Materials，1997，2(1)：31-46.
[23]	JIANG K，QI C Z，KUNITSKIKH A A，et al. Study on the rotation of blocks in two-dimensional blocky rock mass under the impact load and torque[J]. International Journal of Geomechanics，2023，23(10)：04023163.
[25]	蓝一凡. 深埋洞室超低摩擦型岩爆发生机制与定量预测[硕士学位论文][D]. 重庆：重庆大学，2015.(LAN Yifan. The occurrence mechanism of anomalously low friction-type rockburst and its quantitative prediction in deep caverns[M. S. Thesis][D]. Chongqing：Chongqing University，2015.(in Chinese))
[27]	JIANG K，QI C Z，JI C M. Theoretical research on the pendulum-type wave in nonlinear block-rock mass based on hyperbolic elastic model[J]. Arabian Journal of Geosciences，2022，15(2)：197.
[28]	PASTERNAK E，DYSKIN A V，ESTRIN Y. Deformations in transform faults with rotating crustal blocks[J]. Pure and Applied Geophysics，2006，163(9)：2 011-2 030.
[33]	李杰，王明洋，陈昊祥，等. 深部非线性岩石动力学的理论发展及应用[J]. 中国科学：物理学力学天文学，2020，50(2)：17-24. (LI Jie，WANG Mingyang，CHEN Haoxiang，et al. The theory development and application of deep nonlinear dynamic rock mechanics[J]. Scientia Sinica Physica，Mechanics and Astronomica，2020，50(2)：17-24.(in Chinese))
[35]	王明洋，李杰. 爆炸与冲击中的非线性岩石力学问题III：地下核爆炸诱发工程性地震效应的计算原理及应用[J]. 岩石力学与工程学报，2019，38(4)：695-707.(WANG Mingyang，LI Jie. Nonlinear mechanics problems in rock explosion and shock. Part Ⅲ：The calculation principle of engineering seismic effects induced by underground nuclear explosion and its application[J]. Chinese Journal of Rock Mechanics and Engineering，2019，38(4)：695-707.(in Chinese))
[2]	KURLENYA M V，OPARIN V N，VOSTRIKOV V I. Pendulum-type waves. Part II：Experimental methods and main results of physical modeling[J]. Journal of Mining Science，1996，32(4)：245-273.
[4]	KURLENYA M V，OPARIN V N，BALMASHNOVA E G，et al. On dynamic behavior of“self-stressed”block media. Part I. one- dimensional mechanico-mathematical model[J]. Journal of Mining Science，2001，37(1)：1-9.
[9]	OPARIN V N，SIMONOV B F. Nonlinear deformation-wave processes in the vibrational oil geotechnologies[J]. Journal of Mining Science，2010，46(2)：95-112.
[10]	潘一山，王凯兴，肖永惠. 基于摆型波理论的防冲支护设计[J]. 岩石力学与工程学报，2013，32(8)：1 537-1 543.(PAN Yishan，WANG Kaixing，XIAO Yonghui. Design of anti-scour support based on theory of pendulum-type wave[J]. Chinese Journal of Rock Mechanics and Engineering，2013，32(8)：1 537-1 543.(in Chinese))
[12]	王凯兴，潘一山. 冲击地压矿井的围岩与支护统一吸能防冲理论[J]. 岩土力学，2015，36(9)：2 585-2 590.(WANG Kaixing，PAN Yishan. An undified theory of energy absorption and anti-impact for surrounding rock and support in rock burst mine[J]. Rock and Soil Mechanics，2015，36(9)：2 585-2 590.(in Chinese))
[14]	ADUSHKIN V V，SPIVAK A A. Characteristic features of the deformation of a block medium during blasting[J]. Soviet Mining Science，1990，26(2)：142-147.
[17]	SARAIKIN V A，STEPANENKO M V，TSAREVA O V. Elastic waves in a medium with a block structure[J]. Soviet Mining Science，1988，24 (1)：11-17.
[19]	SARAIKIN V A. Elastic properites of blocks in the low-frequency component of waves in a 2D medium[J]. Journal of Mining Science，2009，45(3)：207-221.
[20]	SARAIKIN V A，CHERNIKOV A G，SHE E N. Wave propagation in two-dimensional block media with viscoelastic layers(theory and experiment)[J]. Journal of Applied Mechanics and Technical Physics，2015，56(4)：688-697.
[22]	JIANG K，QI C Z. Propagation of pendulum-type wave in two-dimensional block-rock mass with accurate consideration of rotation effect[J]. Archive of Applied Mechanics，2023，93(6)： 2 631-2 650.
[24]	范新，王明洋，谭可可. 爆炸荷载作用下深部块体变形运动规律研究[J]. 岩石力学与工程学报，2007，26(5)：1 019-1 025.(FAN Xin，WANG Mingyang，TAN Keke. Study on rule of block deformation and movement under explosion loads[J]. Chinese Journal of Rock Mechanics and Engineering，2007，26(5)：1 019-1 025.(in Chinese))
[29]	黄昆. 固体物理学[M]. 北京：北京大学出版社，2009：154-157.(HUANG Kun. Solid state physics[M]. Beijing：Peking University Press，2009：154-157.(in Chinese))
[6]	OPARIN V N，AKININ A A，VOSTRIKOV V I，et al. Nonlinear deformation processes in the vicinity of mine workings. Part II[J]. Journal of Mining Science，2003，39(6)：523-533.
[38]	CHENG Z，LIN W，SHI Z. Wave dispersion analysis of multi-story frame building structures using the periodic structure theory[J]. Soil Dynamics and Earthquake Engineering，2018，106：215-230.