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1.
费鸿禄  包士杰  杨智广 《岩土力学》2018,39(7):2327-2335
岩体节理在受到应力波扰动时端部受力会发生不同程度的连续性变化,为具体分析这种动态变化与应力波入射角度之间的关系,引用岩石非线性法向本构关系与线性切向本构关系的组合模型以及相应的在P波斜入射节理的应力波传播方程,结合岩石断裂力学中Ⅰ、Ⅱ型裂纹尖端应力和位移场的相关理论,得出组合形式下的节理端部应力场和位移场随质点振速变化的计算公式。通过不同入射角的模拟脉冲信号作用对端部应力位移的变化分析:应力波斜入射节理导致节理端部上、下两侧应力与位移场非对称分布,随着入射波质点振速的增减变化,应力集中位置会出现变化;计算并整理模型中节理端部上、下两侧0.005 m位置的数据,节理法向刚度由入射波质点振速带来的变化直接影响到应力波的透射与反射,进而会导致端部的应力与位移出现滞后效应;节理端部横向位移值与入射角度并非单调变化,而竖向位移会随着入射角的增大呈现下降趋势。  相似文献   

2.
依据弹性波理论,应力波斜入射线弹性节理时会发生波场分解。根据入射、透射及反射各波形的不同到时,运用离散元软件UDEC模拟应力波在含倾斜节理岩体中的传播并计算其透射、反射系数,并分析其波型转换规律。应力波斜入射单节理时,模拟得到的透射、反射系数随节理刚度、入射角度的变化规律,与已有的理论解是吻合的。应力波斜入射一组平行节理时,随着节理间距的增大,其同类波的透射系数Tpp、Tss先增大后减小,最后趋于稳定值;节理条数越多,Tpp、Tss越小。此外,不同条数的节理,透射系数达到最大值的临界节理间距值基本一致,但趋于稳定时的节理间距值随节理条数的增加而逐渐增大。  相似文献   

3.
循环剪切荷载作用下岩石节理变形特性试验研究   总被引:1,自引:0,他引:1  
刘博  李海波  刘亚群 《岩土力学》2013,34(9):2475-2481
以水泥砂浆为相似材料,制备3种岩壁强度、5种起伏角度的锯齿型节理试样;利用试验设备,进行了在4种法向应力下的循环剪切试验。根据试验结果,结合循环剪切试验特点,定义剪胀角来表征节理循环剪切的法向变形特性,以及剪切刚度来表征节理循环剪切的切向变形特性。基于不同起伏角、不同强度等级和不同法向应力下的节理试样循环剪切试验结果,分析了循环剪切过程中剪胀角和剪切刚度的变化规律;并利用不同条件下的试验结果,对比分析初始起伏角度、法向应力、岩壁强度对节理循环剪切变形特性的影响规律。研究发现:剪胀角、剪切刚度均随着剪切循环次数的增加而呈现先快、后慢的降低趋势,并且中低起伏角度节理的剪胀角、剪切刚度的降低趋势随着初始起伏角度、法向应力的增加而加快,随着岩壁强度增加而变慢,高起伏角度节理的剪胀角、剪切刚度的降低趋势基本保持不变。  相似文献   

4.
为研究常刚度(CNS)边界条件下节理的剪切-渗流耦合特性,针对3种不同节理粗糙度的复制节理试样进行了3种不同刚度、3种不同渗透水压力条件下的剪切-渗流试验,全面系统地分析了法向刚度、渗透水压和节理粗糙度等因素对节理剪切过程中力学特性和渗流特性的影响。试验结果表明:节理峰值剪切强度随法向刚度的增加而增加,流量、等效水力开度和透过率随法向刚度的增加而减小;节理峰值剪切强度和法向位移均随渗透水压的增大而减小,流量、等效水力开度和透过率随法向刚度的增加而增加;通过节理面的流量随节理粗糙度的增加而减小。剪切过程中流量、等效水力开度和透过率均呈现类似于节理剪胀的三阶段变化规律:快速增长阶段、增速变缓阶段和稳定阶段;稳定阶段流量随法向刚度和渗透水压的变化近似呈线性关系,随着渗透水压的增加,粗糙程度较高的节理流速较慢。  相似文献   

5.
舒进辉  马强  周凤玺  李强 《岩土力学》2022,43(4):1135-1146
基于单相弹性介质与非饱和多孔介质中波的传播理论和Snell定律,研究了P1波从非饱和土介质中入射到波阻板(wave impeding block,WIB)时的传播特性。推导了P1波在非饱和土地基中通过波阻板后反射波和透射波振幅比的解析解,分析了反射波振幅比和透射波振幅比与波阻板的剪切模量、密度以及入射角、入射频率、饱和度等各种参数的关系曲线,从而得到这些参数对非饱和土地基中波阻板隔振效果的影响规律。数值结果表明:波阻板隔振屏障的剪切模量和密度对其隔振性能影响较为显著,当波阻板剪切模量和密度在一定范围内时波阻板隔振屏障可获得较好的隔振性能;入射角对波阻板隔振性能影响较大,而入射频率对其隔振效果影响很小。  相似文献   

6.
基于东部某油田物性资料,建立典型碎屑岩储层模型,利用弹性波方程交错网格有限差分正演,对模型进行多波正演模拟。通过分析正演模拟的炮集记录、叠前偏移剖面以及振幅属性,总结了多波正演的波场特点及其分辨率。分析结果表明,转换波反射频率比纵波的低,能量随偏移距的增加而增加,零偏移距处能量为零;转换波在地层厚度为λ/4处发生调谐效应,调谐振幅属性变化规律与纵波变化规律一致;综合考虑该区纵波、转换波波速以及不同深度的纵波、转换波中心频率变化,可知在该区目标层深度转换波分辨率低于纵波分辨率。  相似文献   

7.
基于岩体三轴压缩试验的节理力学参数确定方法   总被引:1,自引:0,他引:1  
王芝银  段品佳 《岩土力学》2011,32(11):3219-3224
岩体节理面的刚度系数、黏结力和内摩擦角是反映节理面力学特性的重要参数。基于含不同倾角节理岩样的三轴压缩试验,通过对标准岩样的应力-位移分析,由互等功原理,建立节理岩样应变与位移新的几何关系,推导出弹性状态下节理刚度系数解析解,根据摩尔-库仑强度理论得出节理面的黏结力和内摩擦角。为了检验方法的正确性,对含节理面的同类岩体进行直接剪切试验,测出节理面的法向刚度、切向刚度、黏结力和内摩擦角。结果表明,两种方法所得结果基本吻合,说明所提出的方法可以通过节理岩样三轴压缩试验及理论分析间接得到岩体节理面的刚度系数、黏结力和内摩擦角,实现了节理岩体力学参数的简捷、快速测定。  相似文献   

8.
将排桩对平面SH波的隔振简化为弹性波散射的二维平面问题,基于全空间中无限周期结构的周期特性,给出了一种求解无限周期分布桩体对平面SH波隔振效应的解析方法。该方法采用波函数展开法并结合Graf加法定理,利用全空间中相邻周期单元的散射波场在频域内相差一个相位的特性,仅选取一个周期单元,将入射波场和所有散射波场的贡献叠加后,根据边界条件求解待定系数,从而求得整个散射波场。该解析解能够精确求解无限周期分布桩体的散射问题,分析周期分布桩体数量较多时的隔振规律,弥补了以往理论分析中桩体个数较多时难以求解的不足。重点讨论了桩体个数、桩体刚度、桩体间距和桩体类型等因素对隔振效果的影响,结果表明:(1)该方法显著降低了求解大量桩体问题时的存储量和计算量,有限周期模型计算结果随桩体个数增多收敛于无限周期模型,反映了该方法的正确性;(2)整体上桩体刚度增大有利于提高隔振效果,但桩体刚度对隔振效果的提升有限,桩体剪切波速为土体5倍时已具有足够的隔振效果;(3)桩间距对隔振效果有着直接影响,间距越小则低频禁带宽度越大;(4)桩体类型对隔振效果有着显著影响,实心桩有着良好的隔振效果,而具有柔性内填充的管桩在低频段有着更佳的隔振效果。  相似文献   

9.
陈栋  王恩元  李楠 《岩土力学》2019,40(Z1):449-458
准确和形象地分析煤矿微地震波在不同介质中的传播规律,能够为煤矿主动地震勘探以及反演煤矿不同区域内部介质结构提供有效的理论依据。基于二维介质模型,以煤矿典型的煤、岩单一均匀介质模型、煤岩组合多层介质模型、含断层煤岩介质模型以及含水煤岩双相介质模型为例,利用高阶有限差分法对不同煤岩介质进行了波场模拟,分析不同介质的波场特征。研究结果表明,高阶有限差分法可以准确、形象地得到煤岩不同介质条件下的纵横波的波场特征;不同介质模型的波场特征各不相同,在多层煤岩介质中不同介质的分界面会发生纵横波的反射、透射和转换,产生透射波、透射转换波、反射波和反射转换波;在含断层煤岩介质中断层处不仅可以产生透射波、透射转换波、反射波和反射转换波,还可以发生绕射产生绕射波;在含水煤岩双相介质中不仅有快纵波和横波,也会产生慢纵波。不同时刻的波场快照可以进一步形象地描述波场动态特征,都为矿山微震波场分析打下了理论基础。  相似文献   

10.
通过开展侧限条件下完整试样及不吻合节理试样法向荷载压缩试验,研究了节理花岗岩法向应力及法向闭合的变化特征,揭示了不同化学溶液酸碱值pH(1、3、7、12)和不同腐蚀时间t(10、30、100 d)条件下含不同初始开度b的节理试样法向刚度演变规律。试验结果表明:不吻合节理试样的应力随应变变化特征不同于完整试样及吻合节理试样,由于节理表面微凸体的崩解,在应力-应变曲线整体增长过程中产生了局部应力降现象。不吻合节理法向闭合曲线呈现非线性的特点,法向位移增加速率随法向应力先增大后减小;相同法向应力下,试样法向位移及节理闭合速率随初始开度的增大而变大。通过引入经典节理闭合模型,分析得出节理试样法向刚度同时受初始开度、pH值及腐蚀天数的影响,其中受初始开度的大小影响最为明显。当pH=1、t=10 d时,法向位移从1~3 mm,b=1.65 mm的试样法向应力较b=3.4 mm的试样提高46.26%~149.46%;节理法向应力及刚度随着酸性溶液pH值的减小而减小;随腐蚀时间增加,不同化学溶液下的部分节理法向刚度先减小后增大。  相似文献   

11.
Analysis of Blast Wave Interaction with a Rock Joint   总被引:8,自引:3,他引:5  
The interaction between rock joints and blast waves is crucial in rock engineering when rock mass is suffered from artificial or accidental explosions, bursts or weapon attacks. Based on the conservation of momentum at the wave fronts and the displacement discontinuity method, quantitative analysis for the interaction between obliquely incident P- or S-blast wave and a linear elastic rock joint is carried out in the present study, so as to deduce a wave propagation equation. For some special cases, such as normal or tangential incidence, rigid or weak joint, the analytical solution of the stress wave interaction with a rock joint is obtained by simplifying the wave propagation equation. By verification, it is found that the transmission and reflection coefficients from the wave propagation equation agree very well with the existing results. Parametric studies are then conducted to evaluate the effects of the joint stiffness and incident waves on wave transmission and reflection. The wave propagation equation derived in the present study can be straightforwardly extended for different incident waveforms and nonlinear rock joints to calculate the transmitted and reflected waves without mathematical methods such as the Fourier and inverse Fourier transforms.  相似文献   

12.
基于弹性波在冻结饱和多孔介质与单相弹性介质中的传播理论,研究了平面P波在饱和冻土介质与单相弹性介质分界面上的透反射问题。利用Helmholtz矢量分解定理,根据分界面上的边界条件,获得了平面P波从单相弹性介质入射到饱和冻土介质分界面上透反射振幅比的理论表达式。通过数值计算,分析了在不同入射频率、胶结参数、孔隙率、饱和度和接触参数下,弹性波的透反射振幅比随入射角变化的关系。研究结果表明:P波从单相弹性介质垂直入射到饱和冻土介质分界面上时只有反射P波和3种透射P波产生,当掠入射时只产生反射而没有透射现象发生。入射频率、胶结参数、孔隙率、饱和度以及接触参数等参数对反射波和透射波的振幅比影响显著。  相似文献   

13.
崔臻  盛谦  冷先伦  罗庆姿 《岩土力学》2018,39(4):1203-1210
地震波在跨越岩体中节理时的透反射特性是岩石地下工程抗震分析问题中的重要基础,目前开展的研究工作中尚未有针对连续屈服(CY)非线性节理模型透反射特性的研究报导。在前人提出的非线性节理透反射系数时域递归法解答的基础上,将这一方法拓展至CY模型。并采用3DEC离散元软件,对比了CY模型的时域递归解与数值模拟结果的差异。在此基础上以时域递归解为手段,辅以离散元数值模拟,开展了CY模型的参数影响研究。最终比较了库仑(MC)模型与CY模型在正弦脉冲激励和真实地震动激励下表现的差异。结果表明:CY模型的时域递归解与3DEC数值模拟结果显示了良好的一致性,证明了时域递归解用以进行后续参数研究的合理性。法向应力、入射波幅值、节理初始刚度、节理间距等参数对CY模型具有显著影响。相比库仑模型,连续屈服模型可以更好地反映地震波穿越节理时发生的复杂力学现象,如切向刚度退化、抗剪强度劣化、法向应力依赖性、滞回现象等。研究成果可为岩石地下工程的抗震设计与分析工作提供一定参考。  相似文献   

14.
This paper presents a numerical study on wave transmission across jointed rock masses with UDEC, where multiple intersecting joint sets exist. The capability of UDEC of studying wave transmission across rock joints is validated through comparison with analytical solutions and experimental data. Through parametric studies on wave transmission across jointed rock masses, it is found that joint mechanical and spatial parameters including joint normal and shear stiffnesses, nondimensional joint spacing, joint spacing ratio, joint intersecting angle, incident angle, and number of joint sets together determine the wave transmission. And for P wave incidence, compared with other parameters, joint normal stiffness, nondimensional joint spacing, and joint intersecting angle have more significant effects on wave transmission. The physical reasons lying behind those phenomena are explained in detail. Engineering applications and indications of the modeling results are also mentioned.  相似文献   

15.
基于多相孔隙介质弹性理论,给出了非饱和土中不同弹性波的传播方程。根据分界面上的边界条件,建立了各势函数波幅值之间的关系式,讨论了入射剪切波在不同饱和度土层分界面上的反射与透射问题。在无限空间非饱和土体中存在3种压缩波和1种剪切波,因此,当剪切波传播到不同饱和度的非饱和土层分界面上将分别在上、下土层激发产生4种反射波和4种透射波。推导出不同反射波和透射波的振幅比例系数和能量比例系数的理论表达式,并且在此基础上进行数值分析。在数值算例中分别研究了各反射波与透射波的能量比例系数(即能量反射率和能量透射率)受入射频率、入射角度以及上、下土层土体饱和度变化的影响情况。计算结果表明:各能量反射率和能量透射率不仅与入射角和入射频率有关,而且其受上、下土层饱和度变化的影响也同样不能忽视。  相似文献   

16.
Analysis of Wave Propagation Through a Filled Rock Joint   总被引:1,自引:1,他引:0  
An analytical and experimental study on a longitudinal wave (P-wave) transmission normally across a filled rock joint is presented in this paper. The dynamic property of the filling material for the artificial rock joints is derived from a series of modified split Hopkinson pressure bar (SHPB) tests. The incident and transmitted waves in granitic pressure bars are calculated by wave separations of the strain gauge readings. The incident wave is approximated by a series of half-sinusoidal waves, and an analytical model on wave propagation across a filled rock joint is then deduced. The derived wave transmission coefficients across the filled joint agree very well with those from the test results. Both the analytical and test results show that the wave transmission coefficients are influenced by the mechanical properties and the input energy of the incident waves. Analytical parametric studies with respect to pre-compaction of the filling material, the frequency and amplitude of the incident wave have also been conducted.  相似文献   

17.
Summary This paper presents a theoretical study on normally incident elastic P-wave transmission across single dry fractures with a nonlinear normal deformational behavior. The effects of nonlinear fracture normal behavior on P-wave transmission are examined without the mixture of fracture shear behavior. The linear displacement discontinuity model for wave propagation across fractures is extended to a nonlinear model – the hyperbolic elastic model (BB model). Numeric solutions of magnitudes of transmission (|T non|) and reflection (|R non|) coefficients, for normally incident P-wave transmission across the nonlinear deformable fractures, are obtained and related to the closure behavior of fractures. Parametric studies are conducted to acquire an insight into the effects of the nonlinear fracture normal deformation on P-wave transmission, in terms of initial normal stiffness and the ratio of current maximum closure to maximum allowable closure of the fractures, as well as the incident wave amplitude and frequency. Comparisons between the linear and nonlinear models are presented. It is shown that, |T lin| and |R lin| for the linear model are special solutions of |T non| and |R non| for the nonlinear model, when the incident wave amplitude is so low that the current maximum closure of fracture incurred during the wave transmission is much smaller, relative to the maximum allowable closure. In addition, the nonlinear fracture behavior gives rise to a phenomenon of higher harmonics during the wave transmission across the fracture. The higher harmonics contribute to the increase of |T non| from |T lin|.  相似文献   

18.
Present paper aims to study the phenomenon of reflection and transmission when an inhomogeneous wave strikes some discontinuity in a composite porous medium saturated by two immiscible viscous fluids. The incident wave splits into six reflected and six transmitted waves at the interface. All reflected and transmitted waves are inhomogeneous in nature with different directions of propagation vector and attenuation vector. A dimensionless parameter \(\varsigma \in [0, 1]\) is introduced to represent the extent of connection among the pores at the interface. Expression of Umov–Poynting vector is derived to obtain energy flux vector. Continuity of energy flux vector at the interface gives the required boundary conditions for the system. Connecting parameter \(\varsigma \) is also employed in boundary conditions to model the partial connection of pores at the interstices of two media. For numerical discussion we consider a porous medium composed of sandstone and ice, saturated with oil and water. The effect of parameter \(\varsigma \) and angle of incidence is determined numerically on the amplitude and the energy ratios of reflected and transmitted waves.  相似文献   

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