平面P波在含结构面黏弹性岩体中的传播

doi:10.13722/j.cnki.jrme.2019.0879

摘要
图/表
参考文献
相关文章 (15)

全文: PDF (531 KB) HTML (1 KB)
输出: BibTeX | EndNote (RIS)

摘要应力波在节理、软弱夹层等不连续结构面中的传播是岩石动力学的一个重要研究方向。岩石介质对应力波的传播有一定的衰减和时间延迟，往往表现为黏弹性。本文假定岩体为Kelvin体，通过引入应力波的品质因子Qp和Qs，建立平面应力波在黏弹性体中的传播方程。对平面P波与线弹性结构面的作用关系进行分析，并基于频域范围内P波经过结构面后的透反射系数的解，分析平面应力波在含一线弹性结构面的黏弹性岩体中的传播规律，求得到达监测面上任意一点处的透射P、S波的速度表达式。运用波的叠加原理，建立平面P波经过黏弹性结构面岩体后的法向和切向透射系数。参数研究表明，应力波在黏弹性体中传播时会产生明显的衰减和时间延迟，结构面特性及入射波频率等对透射系数均有一定影响。

	服务

	把本文推荐给朋友
	加入我的书架
	加入引用管理器
	E-mail Alert
	RSS
	作者相关文章
	王昊1
	2
	柴少波1
	2
	蔚立元2
	井彦林1
	周涛1

关键词 ：岩石力学, 应力波, 波传播, 黏弹性, 岩体, 品质因子, 透射系数

Abstract：The propagation of stress waves in discontinuous structural plane such as jointed rock mass and weak interlayer is an important research direction of rock dynamics. The time delay and amplitude attenuation always occur, as the wave across viscoelastic rock. The rock mass was assumed as the Kelvin body in this paper，and the wave propagation equation in the viscoelastic body is established using the wave quality factors. The interaction between the P wave and a linear elastic structural plane is analyzed. Based on the solution of the reflection coefficient of P wave passing through the structural plane in the frequency domain，the propagation rules of the planar stress wave in viscoelastic rock mass，which contains a linear elastic structure surface，was analyzed. Then the expressions of the transmission velocity of P and S waves at any point on the monitor-surface were obtained. The normal and tangential transmission coefficients of plane P wave through the structural plane of viscoelastic rock mass are calculated，using the superposition principle of wave. The parameter studies show that the attenuation and time delay are obvious，when the stress wave propagates in the viscous elastomer. And the structural surface characteristics and incident wave frequency have certain influence on the transmission coefficient.

Key words： rock mechanics stress wave wave propagation viscoelastic rock mass wave quality factors transmission coefficients

引用本文:

王昊1，2，柴少波1，2，蔚立元2，井彦林1，周涛1. 平面P波在含结构面黏弹性岩体中的传播[J]. 岩石力学与工程学报, 2020, 39(S1): 2763-2770.
WANG Hao1，2，CHAI Shaobo1，2，YU Liyuan2，JING Yanlin1，ZHOU Tao1. P-wave propagation across a viscous-elastic rock mass with a structural plane. , 2020, 39(S1): 2763-2770.

链接本文:

http://rockmech.whrsm.ac.cn/CN/10.13722/j.cnki.jrme.2019.0879 或 http://rockmech.whrsm.ac.cn/CN/Y2020/V39/IS1/2763

[8]	俞缙，赵晓豹，赵维炳，等. 改进的岩石节理弹性非线性法向变形本构模型研究[J]. 岩土工程学报，2008，30(9)：1 316–1 321.(YU Jin，ZHAO Xiaobao，ZHAO Weibing，et al. Improved nonlinear elastic constitutive model for normal deformation of rock fractures[J]. Chinese Journal of Geotechnical Engineering，2008，30(9)：1 316–1 321.(in Chinese))
[13]	FAN L F，REN F，MA G W. Experimental study on viscoelastic behavior of sedimentary rock under dynamic loading[J]. Rock Mechanics and Rock Engineering，2012，45：433–438.
[15]	ZHANG J H，ZHANG Y Y，SUN Z D. The effects of seismic data conditioning on prestcak AVC/AVA simultaneous inversion[J]. O.G.P.，2012，47(1)：68–73.
[19]	李建春，李海波. 节理岩体的一维动态等效连续介质模型的研究[J]. 岩石力学与工程学报，2010，29(增2)：4 063–4 067.(LI Jianchun，LI Haibo. An equivalent 1D dynamic continuum model for rock mass with paprallel joints[J]. Chinese Journal of Rock Mechanics and Engineering，2010，29(Supp.2)：4 063–4 067.(in Chinese))
[20]	WANG R，HU Z P，ZHANG D，et al. Propagation of the stress wave through the filled joint with linear viscoelastic deformation behavior using time-domain recursive method[J]. Rock Mechanics and Rock Engineering，2017，50(12)：3 197–3 207.
[16]	ZHU Y P，TSVANKIN I. Plane wave propagation in attenuative transversely sotropic media[J]. Geophysics，2006，71(2)：17–30.
[23]	CLOUSER R H，LANGSTON C A. elation in sedimentary basin using converted phases[J]. Bulletin of the Seismological Society of America，1991，81：733–750.
[14]	蔡美峰. 岩石力学与工程[M]. 北京：科学出版社，2002：203–218.(CAI Meifeng. Rock mechanics and engineering[M]. Beijing：Science Press，2002：203–218.(in Chinese))
[22]	WINKLER K，NUR A. Seismic attenuation：effects of pore fluids and frictional sliding[J]. Geophysics，1982，47：1–15.
[4]	LI J C，MA G W，HUANG X. Analysis of wave propagation through filled rock joint[J]. Rock Mechanics and Rock Engineering，2010，43(6)：789–798.
[5]	LI J C，MA G W. Analysis of blast wave interaction with a rock joint[J]. Rock Mechanics and Rock Engineering，2010，43(6)：777–787.
[11]	JOHNSON P A，RASDOLOSAON P N J. Nonlinear-elasticity and stress-induced anisotropy in rock[J]. Journal of Geophysical Research，1996，101(B2)：3 113–3 126.
[12]	LUCET N，ZINSZNER B. Effect of heterogeneities and anisotropy on sonic and ultrasonic attenuation of rocks[J]. Geophysics，1992，57(N8)：1 018–1 026.
[18]	ZHU J B，ZHAO X B，WU W，et al. Wave propagation across rock joints filled with viscoelastic medium using modified recursive method[J]. Journal of Applied Geophysics，2012，86(11)：82–87.
[21]	CARCIONE J M. Wave fields in real media：theory and numerical simulation of wave propagation in anisotropic，anelastic，porous and electromagenetic media[M]. [S. l.]：Elserier.，2007：1–847.
[3]	赵坚，蔡军刚，赵晓豹，等. 弹性纵波在具有非线性法向变形本构关系的节理处的传播特征[J]. 岩石力学与工程学报，2003，22(1)：9–17.(ZHAO Jian，CAI Jungang，ZHAO Xiaobao，et al. Transmission of elastic P-waves across single fracture with nonlinear normal deformation behavior[J]. Chinese Journal of Rock Mechanics and Engineering，2003，22(1)：9–17.(in Chinese))
[9]	边俊城. 爆炸应力波在节理岩体中传播规律的数值模拟研究[硕士学位论文][D]. 西安：西安建筑科技大学，2018.(BIAN Juncheng. Numerical simulation of the propagation of stress wave in jointed rock mass[M. S. Thesis][D]. Xi?an：Xi?an University of Architecture and Technology，2018.(in Chinese))
[1]	SCHOENBERG M. Elastic wave behavior across linear slip interfaces[J]. Journal of the Acoustical Society of America，1980，68(5)：1 516–1 521.
[2]	PYRAK-NOLTE L J，MYER L R，COOK N G W. Transmission of seismic waves across single natural fractures[J]. Journal of Geophysical Research，1990，95(B6)：8 617–8 638.
[6]	李新平，董千，刘婷婷，等. 地应力下柱面应力波在节理岩体中传播规律研究[J]. 岩石力学与工程学报，2018，37(增1)：3 121–3 131.(LI Ximping，DONG Qian，LIU Tingting，et al. Research on propagation law of cylindrical stress wave in jointed rock mass under in-situ stress[J]. Chinese Journal of Rock Mechanics and Engineering，2018，37(Supp.1)：3 121–3 131.(in Chinese))
[7]	俞缙，关云飞，肖琳，等. 弹性纵波在不同非线性法向变形行为节理处的传播[J]. 解放军理工大学学报：自然科学版，2007，8(6)：589–594.(YU Jin，GUAN Yunfei，XIAO Lin，et al. Transmission of elastic P-wave across single fracture with different nonlinear normal deformation behaviors[J]. Journal of PLA University of Science and Technology：Natural Science，2007，8(6)：589–594.(in Chinese))
[10]	JAEGER J C，COOK N G W，ZIMMERMAN R W. Fundamentals of rock mechanics[M]. Maiden：Blackwell Pub，2007：231
[17]	KOLSKY H. Stress waves in solids[M]. Oxford：Clarendon Press，1953：211.