基于三单元模型分析P–波在充填结构面处的传播规律

doi:10.13722/j.cnki.jrme. 2016.1013

摘要
图/表
参考文献(22)
相关文章 (15)

全文: PDF (1399 KB) HTML (1 KB)
输出: BibTeX | EndNote (RIS)

摘要考虑含充填软弱结构面的接触界面与充填材料的共同变形，提出三单元模型描述充填结构面。结合特征线法，推导建立一维P–波在含充填结构面岩体中的传播方程，并与已有理论进行了对比验证，然后展开了入射波频率、接触界面刚度、充填厚度以及充填材料属性对应力波传播规律的参数讨论。最后，基于应力–应变均匀假定，将厚度较薄的充填结构面等效于无厚度位移不连续模型，较厚的充填结构面等效于位移连续的软弱夹层，通过分析等效节理的刚度和等效夹层的弹性模量，反推得到充填结构面的法向变形特性的影响。研究结果表明，采用三单元描述充填结构面是可行的，同时接触界面刚度、充填厚度以及充填材料属性三参数对透射系数均存在一个阈值，当参数值大于该阈值时，其对透射系数的影响较小。透射系数与接触界面刚度和充填材料的波速正相关，而与充填厚度呈负指数函数关系。等效刚度和等效弹模均随着接触界面的刚度增加而增加。随着充填材料的波速增加，等效刚度迅速增加后趋向稳定，稳定值与充填厚度以及接触界面刚度密切相关。

	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
	刘婷婷1
	2
	3
	李新平1
	2
	郑允3
	罗忆1
	2
	郭运华1
	2

关键词 ：岩石力学, 软弱夹层, 应力波, 透射系数, 充填结构面, 法向力学特性

Abstract：Considering the deformation of filling material and the interfaces between the rock and the filling materials，combined with the method of characteristics，the three element model(TEM) is employed to analyze wave propagation across filling structure. Comparison with the existing theories，the validity of TEM is verified. Then parametric study is conducted for the effects of the stiffness of the interfaces，the filling thickness，the velocity of the filling material and the frequency of incident waves. Finally，the filling structure with thin filling material is equivalent to joint without filling material and the filling structure with thick filling material is equivalent to the interlayer，two parameters are defined to describe the mechanical behavior of the filling structure. The study results show that the effects of the stiffness of the interfaces，the filling thickness，the velocity of the filling material on wave propagation are divided into two parts by critical values. The effects decrease when the three parameters exceed the critical values. The transmission coefficient is positively correlated with the stiffness of the interface and the velocity of the filling material. The negative exponential function is proposed to describe the relationship between the filling thickness and transmission coefficient. Kne and Ene are also closely related to the filling thickness and the stiffness of the contact interface.

Key words： rock mechanics weak interlayer stress wave transmission coefficient filling structure normal mechanical behavior

引用本文:

刘婷婷1，2，3，李新平1，2，郑允3，罗忆1，2，郭运华1，2. 基于三单元模型分析P–波在充填结构面处的传播规律[J]. 岩石力学与工程学报, 2017, 36(4): 3247-3257.
LIU Tingting1，2，3，LI Xinping1，2，ZHENG Yun3，LUO Yi1，2，GUO Yunhua1，2. P-wave propagation across a filling structure with three element model. , 2017, 36(4): 3247-3257.

链接本文:

https://rockmech.whrsm.ac.cn/CN/10.13722/j.cnki.jrme. 2016.1013 或 https://rockmech.whrsm.ac.cn/CN/Y2017/V36/I4/3247

[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..
[3]	PYRAK-NOLTE L J，MYER L R，COOK N G W. Anisotropy in seismic velocities and amplitudes from multiple parallel fractures[J]. Journal of Geophysical Research，1990，95(B7)：11 345-11 358.
[4]	COOK N G W. Natural joints in rock：mechanical，hydraulic and seismic behavior and properties under normal stress[J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts，1992，29(3)：198-223.
[5]	CAI J G，ZHAO J. Effects of multiple parallel fractures on apparent attenuation of stress waves in rock masses[J]. International Journal of Rock Mechanics and Mining Sciences，2000，37(4)：661-682.
[6]	ZHAO J，CAI J G，ZHAO X B，et al. Dynamic model of fracture normal behaviour and application to prediction of stress wave attenuation across fractures[J]. Rock Mechanics and Rock Engineering，2008，41(5)：671-693.
[7]	LI J C，LI H B，MA G W，et al. A time-domain recursive method to analyse transient wave propagation across rock joints[J]. Geophysical Journal International，2012，188(2)：631-644.
[8]	俞缙，宋博学，钱七虎. 节理岩体的双重非线性弹性介质中的纵波传播特性[J]. 岩石力学与工程学报，2011，30(12)：2 463-2 473. (YU Jin，SONG Boxue，QIAN Qihu. Propagation of P-waves in dual nonlinear elastic medium for jointed rock mass[J]. Chinese Journal of Rock Mechanics and Engineering，2011，30(12)：2 463-2 473.(in Chinese))
[9]	张奇. 应力波在节理处的传递过程[J]. 岩土工程学报，1986，8(6)：99-105.(ZHANG Qi. Propagation process of stress wave in rock joints[J]. Chinese Journal of Geotechnical Engineering，1986，8(6)：99-105.(in Chinese))
[10]	王玉杰，陈先锋，彭天浩. 浅析岩石夹层对爆破效果的影响[J]. 岩石力学与工程学报，2004，23(8)：1 385-1 387.(WANG Yujie，CHEN Xianfeng，PENG Tianhao. Analysis on influence of rock interlayer on blasting[J]. Chinese Journal of Rock Mechanics and Engineering，2004，23(8)：1 385-1 387.(in Chinese))
[11]	范留明，闫娜，李宁. 薄弹性软弱夹层的动力响应模型[J]. 岩石力学与工程学报，2006，25(1)：88-92.(FAN Liuming，YAN Na，LI Ning. Dynamic response model for thin soft interlayer considering interbedded reflecting waves[J]. Chinese Journal of Rock Mechanics and Engineering，2006，25(1)：88-92.(in Chinese))
[12]	李夕兵. 论岩体软弱结构面对应力波传播的影响[J]. 爆炸与冲击， 1993，13(4)：334-342.(LI Xibing. Influence of the structural weakness planes in rock mass on the propagation of stress waves[J]. Explosion and Shock Waves，1993，13(4)：334-342.(in Chinese))
[13]	LI J C，WU W，LI H B，et al. A thin-layer interface model for wave propagation through filled rock joints[J]. Journal of Applied Geophysics，2013，91(4)：31-38.
[14]	LI J C，LIU T T，LI H B，et al. Shear wave propagation across filled joints with the effect of interfacial shear strength[J]. Rock Mechanics and Rock Engineering，2015，48(4)：1-11.
[15]	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.
[16]	FAN L F，WONG L N Y. Stress wave transmission across a filled joint with different loading/unloading behavior[J]. International Journal of Rock Mechanics and Mining Sciences，2013，60(8)：227-234.
[17]	LI J C，MA G W，HUANG X. Analysis of wave propagation through a filled rock joint[J]. Rock Mechanics and Rock Engineering，2009，43(6)：789-798.
[18]	WU W，ZHAO J. Effect of water content on P-wave attenuation across a rock fracture filled with granular materials[J]. Rock Mechanics Rock and Engineering，2015，48(2)：867-871.
[19]	刘汉香，许强，周飞，等. 含软弱夹层斜坡地震动力响应特性的振动台试验研究[J]. 岩石力学与工程学报，2015，34(5)：994-1 005.(LIU Hanxiang，XU Qiang，ZHOU Fei，et al. Shaking table test for seismic responses of slopes with a weak interlayer[J]. Chinese Journal of Rock Mechanics and Engineering，2015，34(5)：994-1 005. (in Chinese))
[20]	王帅帅，高波，周裕，等. 隧道洞口含软弱夹层仰坡振动台试验研究[J]. 岩石力学与工程学报，2015，34(增1)：2 669-2 705. (WANG Shuaishuai，GAO Bo，ZHOU Yu，et al. Shaking table test on tunnel front slope with weak intercalation[J]. Chinese Journal of Rock Mechanics and Engineering，2015，34(Supp.1)：2 669-2 705.(in Chinese))
[21]	周飞，许强，刘汉香，等. 地震作用下含水平软弱夹层斜坡动力响应特性研究[J]. 岩土力学，2016，37(1)：133-139.(ZHOU Fei，XU Qiang，LIU Hanxiang，et al. An experimental study of dynamic response characteristics of slope with horizontal weak interlayer under earthquake[J]. Rock and Soil Mechanics，2016，37(1)：133-139.(in Chinese))
[22]	刘婷婷，李建春，李海波，等. 应力波通过非线性平行节理的能量分析[J]. 岩石力学与工程学报，2013，32(8)：1 610-1 617.(LIU Tingting，LI Jianchun，LI Haibo，et al. Energy analysis of stress wave propagation across parallel nonlinear joints[J]. Chinese Journal of Rock Mechanics and Engineering，2013，32(8)：1 610-1 617.(in Chinese))