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1.
利用波函数展开法,给出了地下圆形衬砌隧道对入射平面P波和SV波散射问题的一个级数解答,当衬砌与半空间介质相同时,该解答退化为文献中的无衬砌隧道的解答。级数解答为进一步定量研究隧道对入射平面P波和SV波的放大作用以及入射波长、入射角度、隧道直径和衬砌刚度等参数对隧道沿线地震动的影响奠定了理论基础。  相似文献   

2.
地下圆形衬砌隧道对沿线地震动的影响(Ⅰ):级数解   总被引:8,自引:4,他引:8  
利用波函数展开法,给出了地下圆形衬砌隧道对入射平面P波和SV波散射问题的一个级数解答,当衬砌与半空间介质相同时,该解答退化为文献中的无衬砌隧道的解答。级数解答为进一步定量研究隧道对入射平面P波和SV波的放大作用以及入射波长、入射角度、隧道直径和衬砌刚度等参数对隧道沿线地震动的影响奠定了理论基础。  相似文献   

3.
地下圆形衬砌隧道对沿线地震动的影响(II):数值结果   总被引:5,自引:3,他引:5  
利用地下圆形衬砌隧道对入射平面P波和SV波散射级数解答,定量分析了入射波长、入射角度、隧道直径、衬砌刚度等因素对沿线地表位移放大作用的影响。计算结果表明,当入射频率较低时,地下隧道的存在对地表位移幅值影响不大;而当入射频率较高时,地表位移幅值可以达到无隧道情况的4.5倍以上;衬砌情况下地表位移幅值可以高出非衬砌情况的87.8%。建议在地铁的规划设计中考虑地下隧道的建设对隧道沿线设计地震动的影响。  相似文献   

4.
隧道斜交穿越地裂缝的模型试验研究   总被引:1,自引:0,他引:1  
李建军  邵生俊  熊田芳 《岩土力学》2010,31(Z1):115-120
西安地区由北向南间隔分布有十多条近东西走向的地裂缝,建设中的多条地铁线路与地裂缝呈斜交状态。为了揭示地铁隧道斜交穿越地裂缝时受地裂缝活动而产生的力学性状变化,采用50:1几何相似比尺的物理模型试验仪,在合理模拟围岩地层、衬砌结构、应力条件、地裂缝与洞轴线交角及其错动位移基础上,开展了斜交地裂缝活动条件下隧道衬砌结构与围岩相互作用的物理模型试验研究,并与正交地裂缝活动下的测试结果进行了对比分析。表明斜交地裂缝活动对地铁隧道的影响范围更大,各变形缝均有明显的沉降差发展;邻近斜交地裂缝的衬砌结构易处于“悬臂梁”受力状态,衬砌结构不均匀沉降使其产生旋转位移,围岩土压力变化使衬砌结构内力产生显著变化;随着地裂缝错动位移的发展,上盘内拱顶和下盘拱顶、拱底出现围岩作用的加强,而上盘拱底出现围岩作用的松弛。与隧道正交穿越地裂缝的情况比较,斜交穿越地裂缝时围岩土压力和衬砌结构内力变化更大,易出现拉裂破坏。  相似文献   

5.
隧道在施工开挖中会遇到各种地质问题,其中以断层和软弱带居多,目前隧道地质预报主要采用TSP(tunnel seismic prediction)系统进行。虽然TSP技术应用广泛,但目前对它的研究工作主要集中于工程应用实例,采用正演模拟方法进行的研究较少。笔者采用有限元方法模拟隧道地震波场,采用波场快照与时间记录相结合的方法研究断层对隧道地震波场传播的影响,并对含断层模型的时间记录进行了反演处理,得到了数值模型的速度云图和反射层位图。数据处理结果表明:采用TSP Win软件默认值处理得到的速度云图与模型设定的断层位置一致;根据反射层位图,对异常速度带的层状模型来说,P波预报的准确性更高。研究表明,TSP系统具有良好的抗噪性能。通过对工程实例的处理,验证了数值模拟所得结论。  相似文献   

6.
A numerical model for wave scattering problems due to P and SV wave incidences is outlined in this paper. After verifying the present model, a general parametric study on the displacement patterns along the canyons of different shapes due to P and SV wave incidences is also performed. In order to investigate the effects of geologic conditions on ground motions, a weathered V-shaped canyon, which has different elastic moduli in the weathered layer, is also considered herein. The numerical results from this investigation demonstrated that (1) the present model is very suitable to simulate the problem of P and SV wave scattering along a natural canyon; (2) the shape of a canyon may have important effects on the displacement patterns along the canyon, so that a rectangular canyon is not appropriate to be a dam site due to its high amplification effects on incident waves; (3) the weathered layer on the surface of a canyon will significantly amplify the free field motion, especially for the case of softer weathered layer. Therefore, the excavation or grouting on a dam or a bridge abutment is not only necessary for static stability under static loads, but also beneficial to earthquake resistance because less amplification can be expected for sound rock abutments.  相似文献   

7.
By using a complete set of poroelastodynamic spherical wave potentials (SWPs) representing a fast compressional wave PI, a slow compressional wave PII, and a shear wave S with 3 vectorial potentials (not all are independent), a solution scheme based on the method of fundamental solution (MFS) is devised to solve 3‐D wave scattering and dynamic stress concentration problems due to inhomogeneous inclusions and cavities embedded in an infinite poroelastic domain. The method is verified by comparing the result with the elastic analytical solution, which is a degenerated case, as well as with poroelastic solution obtained using other numerical methods. The accuracy and stability of the SWP‐MFS are also demonstrated. The displacement, hoop stress, and fluid pore pressure around spherical cavity and poroelastic inclusion with permeable and impermeable boundary are investigated for incident plane PI and SV waves. The scattering characteristics are examined for a range of material properties, such as porosity and shear modulus contrast, over a range of frequency. Compared with other boundary‐based numerical strategy, such as the boundary element method and the indirect boundary integral equation method, the current SWP‐MFS is a meshless method that does not need elements to approximate the geometry and is free from the treatment of singularities. The SWP‐MFS is a highly accurate and efficient solution methodology for wave scattering problems of arbitrary geometry, particularly when a part of the domain extends to infinity.  相似文献   

8.
9.
刘扬  王明洋  李杰 《岩土力学》2014,35(4):1056-1062
盾构隧道衬砌由于各种类型接头的存在而与整体式衬砌的力学特性存在较大差异。将盾构隧道衬砌结构看作由弹塑性铰链连接的刚性管片组成,考虑围岩介质的黏弹性,提出了爆炸地震波作用下盾构隧道动力分析的简化计算方法。采用该方法对南京地铁盾构段典型横断面进行了动力分析,研究了爆炸地震波入射角度、围岩介质特性及管片厚度对结构受力与变形的影响规律。分析结果表明:波入射角度对盾构隧道有很大影响,斜入射时结构的动力响应要大于垂直入射时结构的动力响应;围岩介质等级越高,围岩对隧道结构的约束越强,隧道的抗爆性能越好;管片厚度的增大会增大结构的内力,合理设置管片厚度有利于提高盾构隧道抗爆性能。  相似文献   

10.
尤红兵  梁建文 《岩土力学》2006,27(3):383-388
利用间接边界元法,在频域内求解了层状弹性半空间中洞室对入射平面SV波的散射问题。通过自由场反应分析,求得假想洞室边界上各点位移和各单元应力响应。在洞室边界各个单元上施加虚拟分布荷载,求得位移和应力的格林函数。根据应力边界条件确定虚拟分布荷载,将自由场位移响应和虚拟分布荷载产生的位移响应叠加起来,即得到问题的解答。比较了层状半空间和均匀半空间中洞室对入射平面SV波的放大作用。结果表明,层状半空间情况有可能导致较大的地表位移幅值,尤其是对于较低频率入射波。  相似文献   

11.
In this study, a simplified analytical closed‐form solution, considering plane strain and axial symmetry conditions, for analysis of a circular pressure tunnel excavated underwater table, is developed. The method accounts for the seepage forces with the steady‐state flow and is based on the generalized effective stress law. To examine the effect of pore pressure variations and also the boundary conditions at the ground surface, the formulations are derived for different directions around the tunnel. The proposed method can be applied for analysis and design of pressure tunnels. Illustrative examples are given to demonstrate the performance of the proposed solution and also to examine the effect of seepage forces on the stability of tunnels. The simplified analytical solution derived in this study is compared with numerical analyses. It is concluded that the classic solutions (Lame's thick‐walled solution), considering the internal pressure as a mechanical load applied to the tunnel surface, are not applicable to pervious media and can result in an unsafe design. Copyright © 2012 John Wiley & Sons, Ltd.  相似文献   

12.
建立了包括地层模型、桩基荷载模型、浅埋隧道开挖模型和支护模型以及桩基荷载、地层压力、地层沉降、支护应变量测装置的平面应变模型试验系统;通过模型试验,研究了不同水平、竖向相对位置处的既有桩基荷载对附近浅埋隧道开挖引起的地层压力重分布、地层沉降及隧道支护内力的影响特征。另外,采用FLAC3D软件,对模型试验及不同工况进行了数值模拟。结果表明:(1)与没有桩基荷载的自由地层中的隧道开挖试验相比较,地层中的既有桩基荷载会明显地改变邻近浅埋隧道开挖引起的地层压力重分布、地层沉降及隧道支护内力;(2)对于桩径和水平相对距离都相同,但桩长不同的桩基荷载,桩长与隧道埋深比值为1.0时,对隧道开挖效应影响最大,二者比值小于1.0时,其影响程度随着比值的减小而减小,二者比值大于1.0时,桩长的改变对隧道开挖效应影响较小;(3)对于桩径和桩长都相同的桩基荷载,对地层压力、地层沉降及支护内力的影响随桩基荷载与隧道的水平距离的减小而增大,桩基荷载距隧道的水平距离与隧道直径比值介于0.5~4.0时,桩基荷载对隧道开挖效应影响较大,隧道较危险,比值介于4.0~6.0时,影响较小,比值>6.0时,影响可以忽略不计。  相似文献   

13.
When an underwater tunnel is excavated, the groundwater may flow into the tunnel. The seepage forces consequently induced can have important effects on the effective stresses around the tunnel. Moreover, the influences of the free surface of a shallow underwater tunnel should also be considered. In this research, an analytical solution is presented to calculate the seepage‐induced effective stresses around a shallow underwater tunnel in an elastic half plane. The solution uses the complex variable method and consists of conformally mapping the half plane with a hole onto a transformed circular ring. The coefficients of the various terms in the Laurent series expansions of the stress functions in the transformed region can be obtained from the boundary conditions. The total stress distribution around a shallow underwater tunnel can be calculated by the potentials in the half plane. The effective stress can be obtained by subtracting the pore pressure from the total stress. The analytical solution is validated by numerical simulations and can be used to perform both the short‐term and long‐term analyses. By using the proposed solution, it is found that the circumferential effective stresses around the tunnel increase greatly because of seepage, and they increase with the increase of water depth in both the undrained and drained conditions. Copyright © 2015 John Wiley & Sons, Ltd.  相似文献   

14.
The governing equations for generalized thermodiffusion in an elastic solid are solved. There exists three kinds of dilatational waves and a Shear Vertical (SV) wave in a two-dimensional model of the solid. The reflection phenomena of P and SV waves from free surface of an elastic solid with thermodiffusion is considered. The boundary conditions are solved to obtain a system of four non-homogeneous equations for reflection coefficients. These reflection coefficients are found to depend upon the angle of incidence of P and SV waves, thermodiffusion parameters and other material constants. The numerical values of modulus of the reflection coefficients are presented graphically for different values of thermodiffusion parameters. The dimensional velocities of various plane waves are also computed for different material constants.  相似文献   

15.
A numerical Round Robin on tunnels under seismic actions   总被引:3,自引:0,他引:3  
Although the seismic behaviour of shallow circular tunnels in soft ground is generally safer than aboveground structures, some tunnels were recently damaged during earthquakes. In some cases, damage was associated with strong ground shaking and site amplification, which increased the stress level in the tunnel lining. Pseudo-static and simplified dynamic analyses enable to assess transient changes in internal forces during shaking. Nevertheless, experimental evidences of permanent changes in internal loads in the tunnel lining would suggest that a full dynamic analysis including plastic soil behaviour should be performed when modelling the dynamic interaction between the tunnel and the ground. While sophisticated numerical methods can be used to predict seismic internal forces on tunnel structures during earthquakes, the accuracy of their predictions should be validated against field measurements, but the latter are seldom available. A series of centrifuge tests were therefore carried out at the University of Cambridge (UK) on tunnel models in sand, in the framework of a research project funded by the Italian Civil Protection Department. A numerical Round Robin on Tunnel Tests was later promoted among some research groups to predict the observed behaviour by means of numerical modelling. In this paper, the main results of five selected numerical predictions are summarized and compared with the experimental results.  相似文献   

16.
P波作用下深埋隧道动应力集中问题参数敏感性分析   总被引:2,自引:0,他引:2  
采用波函数展开法,推导了无限介质中双层衬砌圆形洞室在P波作用下衍射问题的解析解,并结合南水北调西线1期工程3#引水隧道开展了动应力集中系数参数敏感性分析。计算结果表明,围岩和内层衬砌的弹性模量对结构的动应力集中系数影响较大,而围岩泊松比对计算结果的影响几乎可以忽略不计;围岩和衬砌之间的介质层在一定程度上具有减震作用,前提条件是其弹性模量低于围岩弹性模量的1/20,否则减震效果不明显。  相似文献   

17.
李志远  李建波  林皋  韩泽军 《岩土力学》2018,39(9):3453-3460
土层场地对地震动的影响明显,研究成层场地局部复杂地形的波动场特性,对于抗震设防具有重要意义。基于土-结构相互作用理论,含有局部复杂地形的成层场地,可分解成广义结构(即近场复杂地形及其周围土体)和具有规则开挖边界的成层无限地基(即远场)。远场的格林函数可通过精细积分求解频域-波数域内的对偶波动方程获得,利用傅里叶逆变换得到频域-空间域内的柔度矩阵。近场可采用比例边界有限元进行模拟,通过高性能连分式的传递边界求解动刚度。自由场波动可通过传递矩阵法求得,将动刚度和自由场波动位移代入控制方程即可得到散射场的动力响应。数值算例验证了方法的准确性,并利用提出的方法讨论含有软夹层场地局部复杂场地的波动场特性。  相似文献   

18.
The analytic solutions for the dynamic response of a circular lined tunnel with an imperfect interface subjected to cylindrical P-waves are presented in the paper. The wave function expansion method was used and the imperfect interface was modeled with a spring model. The interface separating the liner from the surrounding rock was considered to be homogeneous imperfect. The dynamic stress concentration factors (DSCF) of the rock and liner were evaluated and discussed. The effects of incident wave’s frequency, bonding conditions and distance between the wave source and the tunnel were examined. The results showed that the low-frequency incident wave leads to a higher DSCF than the high-frequency incident wave. The bonding conditions have a great effect on the dynamic response of the lined tunnel. When the bond is extremely weak, the resonance scattering phenomenon can be observed. When the distance between the wave source and the tunnel, depending on frequency of the incident wave, is considered as large, the cylindrical wave can be treated as a plane wave. Limiting cases were considered and good agreement with the solutions available in the literature was obtained.  相似文献   

19.
赵瑞斌  刘萌  刘中宪  张建新 《岩土力学》2016,37(9):2687-2695
现实中衬砌隧道穿越沉积谷地十分常见,而国内外对其地震响应规律研究较少。基于MATLAB编程平台,采用间接边界积分方程法,就沉积谷地衬砌隧道对平面SH波的散射问题进行了初步探讨。研究了不同频率、隧道埋深与入射角度对地表位移和衬砌内外壁动应力集中因子的影响,并比较了沉积谷地中隧道与半空间隧道两种情况下的差别。结果表明:软土沉积中隧道衬砌动应力集中更为显著;高频波入射下,隧道埋深对沉积区域内位移分布、衬砌应力频谱特性和地表位移频谱特性均有较大影响。研究结论可为沉积谷地中衬砌隧道抗震设计与安全性评估提供定量依据。  相似文献   

20.
双连拱隧道施工偏压力学特性的监测与分析研究   总被引:7,自引:3,他引:4  
申玉生  高波 《岩土力学》2006,27(11):2061-2065
结合宜(宾)-水(富)高速公路鞋底坡双连拱隧道工程,通过埋设量测元件对隧道结构受力的关键部位进行现场监控测试与分析,获得了隧道支护结构在施工偏压条件下各施工阶段的围岩应力、锚杆轴力、中墙内力以及隧道支护结构中的内力变化情况。通过对比分析得出:最不利于隧道结构受力(关键是中墙受力)的施工工序发生在隧道由单侧施工过度到双侧施工时;中墙弯矩的方向一般是由后施工洞室向先施工洞室偏转。现场测试所得的数据和结论可望为同类隧道的设计、施工和研究提供有益的借鉴和参考。  相似文献   

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