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1.
根据水位条件、施工工艺和防排水设计原则将隧道渗流计算围岩透水边界条件大致划分为4种类型,并分析了不同透水边界条件适应的施工工况。基于复变函数理论和保角映射方法,推导得出4种透水边界条件下隧道围岩内任一点孔隙水压力和隧道涌水量解析计算公式,通过与数值解的对比,印证了解析解的准确性。在此基础上,根据不同透水边界条件下隧道涌水量和围岩关键点孔隙水压力随埋深直径比( )的变化规律,分析了透水边界条件的变化对浅埋隧道和深埋隧道的影响,并探讨了浅埋水下隧道渗流计算中透水边界条件的选取。相关结论与认识对于隧道渗流计算和排水设计具有一定的指导作用和参考价值。  相似文献   

2.
半无限含水层中带衬砌隧洞渗流解析研究   总被引:3,自引:0,他引:3  
童磊  谢康和  卢萌盟  王坤 《岩土力学》2011,32(1):304-308
现有关于半无限含水层中隧洞渗流的解析解不能考虑衬砌部分排水的特性。假定土体和衬砌均为饱和均匀连续介质,采用土体与衬砌分算;利用复变函数解决孔口问题基本方法,对土体采用共形映射坐标变换,将土体中的渗流方程转换为与衬砌部分类似的二维Laplace方程圆环域的Dirichlet问题;通过Fourier解法,根据边界条件并利用流量连续条件,求得半无限空间中带衬砌隧洞渗流量和衬砌周边水头解析解答。分析了径深比、土体与衬砌渗透系数相对值、内壁水压力等因素对渗流量和衬砌周边水头的影响,并与数值算例进行了比较。结果表明,对浅埋隧洞该解析解仍具有较好的精度,是简便、实用的计算方法。  相似文献   

3.
张丙强  王启云  卢晓颖 《岩土力学》2018,39(12):4377-4384
软土在低水力坡降下的渗流会偏离达西定律,即为非达西渗流模式。假设孔隙水渗透服从指数渗流模式,采用镜像法原理推导了浅埋单孔和双孔圆形隧道非达西渗流场的解析解。结合算例,对浅埋圆形隧道非达西渗流解析解与达西渗流解析解进行了对比分析与验证,并对非达西渗流指数、隧道周围土体与衬砌渗流系数比值对隧道渗流场的影响进行了讨论。结果表明:非达西渗流指数、渗流系数比值对隧道渗流量和周围土体孔压均有较大的影响;随着渗流指数逐渐增大,土体内水头损失加快,隧道周围土体孔压及渗流量逐渐减小;随着土体与衬砌渗流系数比值逐渐增大,衬砌排水能力增强,隧道渗流量逐渐增大,隧道周围土体孔压减小更大。  相似文献   

4.
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   

5.
In this study, with investigation of validity limits of analytical equations in computing groundwater seepage discharge into tunnels in different values of r/h (tunnel radius/water table height above tunnel), using optimization by regression analysis, we have tried to converge the results of analytical equations for any value of r/h. There are various experimental, analytical and numerical methods by which it is possible to calculate the amount of groundwater seepage into tunnels. Due to their simplicity and practical base theory, analytical methods have been applied more frequently. Studies imply that amount of real seepage into tunnel is significantly less than what is anticipated from analytical equations; on the other hand, the results of seepage calculations using these equations are depended on tunnel geometry and medium conditions. Previous investigations confirmed that in a tunnel for which, r/h is more than 0.4; these results are highly different both from one another and from the real seepage inflow. In this paper, optimization has been successfully performed on analytical equations so that the results of these methods are converged to each other for any value of r/h.  相似文献   

6.
Swelling deformations leading to convergence of tunnels may result in significant difficulties during the construction, in particular for long term use of tunnels. By extracting an experimental based explicit analytical solution for formulating swelling strains as a function of time and stress, swelling strains are predicted from the beginning of excavation and during the service life of tunnel. Results obtained from the analytical model show a proper agreement with experimental results. This closed-form solution has been implemented within a numerical program using the finite element method for predicting time-dependent swelling strain around tunnels. Evaluating effects of swelling parameters on time-dependent strains and tunnel shape on swelling behavior around the tunnel according to this analytical solution is considered. The ground-support interaction and consequent swelling effect on the induced forces in tunnel lining is considered too. Effect of delay in lining installation on swelling pressure which acting on the lining and its structural integrity, is also evaluated. A MATLAB code of “SRAP” is prepared and applied to calculate all swelling analysis around tunnels based on analytical solution.  相似文献   

7.
The construction of twin tunnels at shallow depth has become increasingly common in urban areas. In general, twin tunnels are usually near each other, in which the interaction between tunnels is too significant to be ignored on their stability. The equivalent arbitrarily distributed loads imposed on ground surface were considered in this study, and a new analytical approach was provided to efficiently predict the elastic stresses and displacements around the twin tunnels. The interaction between 2 tunnels of different radii with various arrangements was taken into account in the analysis. We used the Schwartz alternating method in this study to reduce the twin‐tunnel problem to a series of problems where only 1 tunnel was contained in half‐plane. The convergent and highly accurate analytical solutions were achieved by superposing the solutions of the reduced single‐tunnel problems. The analytical solutions were then verified by the good agreement between analytical and numerical results. Furthermore, by the comparison on initial plastic zone and surface settlement between analytical solution and numerical/measured results of elastoplastic cases, it was proven that the analytical solution can accurately predict the initial plastic zone and its propagation direction and can qualitatively provide the reliable ground settlements. A parametric study was finally performed to investigate the influence of locations of surcharge load and the tunnel arrangement on the ground stresses and displacements. The new solution proposed in this study provides an insight into the interaction of shallow twin tunnels under surcharge loads, and it can be used as an alternative approach for the preliminary design of future shallow tunnels excavated in rock or medium/stiff clay.  相似文献   

8.
This paper presents an analytical solution for the prediction of internal forces and displacements of a jointed segmental precast circular tunnel lining. The effects of joint stiffness on the performance of the tunnel lining are discussed. The ‘force method’ is used to determine the internal forces and displacements of jointed tunnel lining. Five shield‐driven tunnel cases are adopted to study the effects of joint stiffness, soil resistance, joint distribution and joint number on the internal forces and displacements of circular tunnels. Laboratory model tests are conducted to verify the proposed analytical solution. Copyright © 2001 John Wiley & Sons, Ltd.  相似文献   

9.
基于统一强度准则改进式的压力隧洞弹塑性应力分析   总被引:1,自引:0,他引:1  
基于具有抛物线型强度包络线的统一强度准则,即对双剪双参数统一强度准则进行相应的非线性化处理,考虑了中间主应力影响,分析在渗流作用下压力隧洞弹塑性力学行为。通过分析中间主应力对压力隧洞的塑性区半径影响可知,随着中间主应力的参数的增大,塑性区半径也相应减小。通过考虑和不考虑渗流场影响的实例对比分析表明,考虑渗流场时所得塑性区半径要比不考虑时大,而且随着孔隙水压力的增大,渗流场的影响越显著。隧洞径向应力和切向应力也与中间主应力参数b和渗流场密切相关。通过与直线型统一强度准则对比分析可知,采用两种不同准则时所得结果相差较大。隧洞设计时应根据岩石强度特性合理地选择数b,为强度包络线近似于二次抛物线的围岩隧洞设计提供理论依据  相似文献   

10.
考虑各向异性、剪胀和渗流的柱孔扩张问题统一解   总被引:3,自引:0,他引:3  
基于统一强度理论,考虑渗流、各向异性、剪胀特性以及中主应力等因素的综合影响,推导了柱孔扩张问题弹塑性解答。结果表明,富水条件下的扩孔问题中考虑渗流体积力的影响是非常有必要的,不考虑渗流影响的扩孔压力比实际工程偏小;渗流体积力越大,塑性区半径越小。另外,传统的扩孔解答假定土体为各向同性初始应力状态高估了极限扩孔压力,也低估了扩孔过程中圆孔周边的塑性区范围,造成工程安全等级偏低。该结果为海底圆形隧道以及渗流条件下地下水平构筑物施工弹塑性分析提供了理论依据,对工程设计具有一定参考价值。  相似文献   

11.
The interaction between twin‐parallel tunnels affects the tunnelling‐induced ground deformation, which may endanger the nearby structures. In this paper, an analytical solution is presented for problems in determining displacements and stresses around deforming twin‐parallel tunnels in an elastic half plane, on the basis of complex variable theory. As an example, a uniform radial displacement was assumed as the boundary condition for each of the two tunnels. Special attention was paid to the effects of tunnel depth and spacing between the two tunnels on the surface movement to gain deep insight into the effect of the interaction between twin‐parallel tunnels using the proposed analytical approach. It is revealed that the influence of twin tunnel interaction on surface movements diminishes with both the increase of the tunnel depth and the spacing between the two tunnels. The presented analytical solution manifests that, similar to most of the existing numerical results, the principle of superposition can be applied to determine ground deformation of twin‐parallel tunnels with a certain large depth and spacing; otherwise, the interaction effect between the two tunnels should be taken into account for predicting reliable ground movement. Copyright © 2014 John Wiley & Sons, Ltd.  相似文献   

12.
李术才  林鹏  许振浩  李利平  郭明 《岩土力学》2015,36(7):1989-1994
首次将条分法引入到充填型岩溶蓄水构造突水、突泥研究当中,基于边坡稳定性分析的条分法原理,对隧道-岩溶充填物-岩溶管道系统进行了抽象概化,建立了充填型岩溶蓄水构造充填物条分解析计算模型。假设充填物在滑动面上各处均达到极限平衡状态,且在滑动面上的破坏服从Mohr-Coulomb破坏准则,通过力的平衡条件推导了充填型岩溶蓄水构造突水突泥的最小安全厚度计算公式,形成了一种求解充填型岩溶蓄水构造突水、突泥最小安全厚度的工程实用解析方法。该方法为岩溶隧道突水、突泥计算提供了一种新思路,计算结果与数值计算吻合性较好且符合实际工程情况,具有一定的理论研究与工程应用价值。  相似文献   

13.
紧邻多孔交叠隧道抗震性能研究   总被引:3,自引:0,他引:3  
王国波  陈梁  徐海清  李朋 《岩土力学》2012,33(8):2483-2490
随着我国城市轨道交通建设的飞速发展,盾构隧道之间近距离相互穿越工程将会越来越多。武汉市轨道交通2号线与4号线在洪(洪山广场)中(中南路)区间为4孔紧邻交叠隧道。根据实际工程特点,将其简化为不同间距的4孔平行重叠和4孔垂直交叉隧道,分别建立其三维计算模型,分析了紧邻多孔交叠隧道的三维地震响应,其中考虑了不同地震波幅值、隧道间距、隧道空间位置、隧道管片横、纵向差异以及紧邻多孔盾构隧道间加固层的影响,从结构变形和受力两方面评价了其抗震性能。计算分析表明:(1)隧道间距对隧道地震响应影响不显著;(2)4孔垂直交叉隧道的抗震性能要优于4孔平行重叠隧道;(3)紧邻多孔交叠隧道具有良好的抗震性能,满足抗震要求。其研究成果可为今后类似工程的抗震初步设计提供参考。  相似文献   

14.
考虑脆性损伤和渗流的圆形水工隧洞解析解   总被引:1,自引:0,他引:1  
卞康  肖明  刘会波 《岩土力学》2012,33(1):209-214
针对脆性岩石的损伤特性引入脆性损伤模型,导出三维各向同性损伤情况下的损伤变量表达式。在考虑损伤、不同工况主应力对应关系和渗流作用影响下,推导出圆形水工隧洞洞周围岩的弹塑性应力和塑性半径的解析解。对岩石的脆性特性的研究表明,考虑脆性损伤时的洞周围岩塑性半径比不考虑时有一定程度提升;围岩脆性特征越明显,塑性半径越大。无论洞周围岩应力状态如何,考虑渗流影响后,洞周围岩塑性区范围均会有所扩展。在内水压从0逐渐增加过程中,塑性半径随内水压增加而逐渐减小,直至塑性区消失,在超出临界内压后,塑性区重新出现,塑性半径逐渐增大。  相似文献   

15.
The number of larger tunnels in seismic regions has grown significantly over the last decades. The behaviour of tunnels under seismic actions may be assessed using simplified or more complex approaches. Plane–strain centrifuge tests with dynamic loading on a model tunnel are used as experimental benchmark on the seismic behaviour of tunnels, with the ultimate aim of calibrating numerical and analytical design methods. Two models with dry uniform fine sand were prepared at two different densities, in which an aluminium-alloy tube was installed. This paper describes the numerical simulation of these tests with an elastoplastic model. The tunnel response recorded in the centrifuge tests is compared with the numerical prediction, showing the evolution of accelerations and internal forces along the tunnel lining during the model earthquakes. In general, the numerical simulation diverges from the recorded at the centrifuge tests. The numerical simulation largely amplifies the motion at the fundamental frequency of the soil deposit, while this effect is not significant in the centrifuge tests. It is shown that the peak increments in lining forces during dynamic loading measured in the centrifuge test disagree with the values from the numerical simulation and from the Wang’s elastic solution. The divergence observed between simulation and centrifuge tests may result mainly from the real initial stiffness of the sand in the centrifuge tests which are lower than those measured in laboratory tests and to the insufficient knowledge of all relevant stress paths to be imposed to soil for the calibration of model parameters.  相似文献   

16.
In spite of the gradual development of three-dimensional analysis packages utilizing finite element models or finite difference algorithms for stress–strain calculations, two-dimensional (2D) analysis is still used as the primary engineering tool for practical analysis of tunnel behavior and tunnel support performance for design—particularly at the preliminary stage of a project. The applicability of 2D finite element analysis or analytical convergence confinement solutions to staged support installation depend on the application of an assumed or validated longitudinal displacement profile. Convergence in commonly applied 2D staged models is controlled by boundary displacement or internal pressure relaxation. While there have been developments to improve this methodology, this often assumes independence between the ground reaction curve and the support resistance, independence between the longitudinal displacement profile to support application, and the assumption that non-isotropic stresses and non-circular geometries can be handled in the same way as circular tunnels in isotropic conditions. This paper examines the validity of these assumptions and the error inherent in these extensions to 2D tunnel analysis. Anisotropic stresses and lagged (staged) excavation present a particular problem. Practical solutions are proposed for support longitudinal displacement LDPs in simplified conditions.  相似文献   

17.
随着我国隧道通车里程与运营时间的不断增长,越来越多的隧道进入病害高发期,地下水是导致隧道病害最为严重的因素之一,容易诱发衬砌发生渗漏水等病害,为研究隧道衬砌渗漏水病害发生机制,研制了三维地质力学模型试验系统,开展了不同埋深条件下隧道衬砌渗漏水病害模型试验研究。该系统由可拓展模型试验台架、地应力模拟加载装置、地下水模拟加载装置、多场信息实时监测装置和衬砌渗漏水实时量测装置等组成,利用油压千斤顶和多功能加载水泵,采用分级加载方式可对隧道不同埋深进行模拟。将该系统应用于隧道衬砌渗漏水病害模型试验研究,通过对渗漏水量、渗压和位移等信息进行分析,揭示了不同埋深条件下穿越交叉断层隧道衬砌渗漏水病害的演化规律,并对堵排结合治理方案进行了初步研究,验证了排水对降低衬砌渗漏水量的积极作用,试验结果与运营期开元隧道衬砌渗漏水病害工程实例吻合良好,证明该系统稳定可靠,其研究方法及结果可为相关工程提供一定的参考。  相似文献   

18.
针对甘肃省及临近地区干旱、半干旱黄土地区工程地质、水文地质特点,实地调查该地区已建隧道渗漏水情况,分析该地区隧道渗漏水成因。以天巉二级汽车专用公路9座隧道为依托,应用工程类比法提出适合该地区的涌水类型划分方法,涌水类型划分为滴渗、淋淌、股水和突水4种,并分析了影响隧道防排水结构设计的因素和防排水设计原则。在此基础上,提出了防排水设计的4种合理结构型式及其适用条件。研究结果为天巉公路、巉柳公路防排水设计与施工提供了有效指导。  相似文献   

19.
Numerical analysis of transient seepage in unbounded domains with unsteady boundary conditions requires a more sophisticated artificial boundary approach to deal with the infinite character of the domain. To that end, a local artificial boundary is established by simplifying a global artificial boundary. The global artificial boundary conditions (ABCs) at the truncated boundary are derived from analytical solutions for one‐dimensional axisymmetric diffusion problems. By applying Laplace transforms and introducing some specially defined auxiliary variables, the global ABCs are simplified to local ABCs to significantly enhance the computational efficiency. The proposed local ABCs are implemented in a finite element computer program so that the solutions to various seepage problems can be calculated. The proposed approach is first verified by the computation of a one‐dimensional radial flow problem and then tentatively applied to more general two‐dimensional cylindrical problems and planar problems. The solutions obtained using the local ABCs are compared with those obtained using a large element mesh and using a previously proposed local boundary. This comparison demonstrates the satisfactory performance and obvious superiority of the newly established boundary to the other local boundary. Copyright © 2017 John Wiley & Sons, Ltd.  相似文献   

20.
拼缝渗漏水是盾构隧道最常见的病害表现形式,对衬砌的服役性能有重要影响。在前人研究成果的基础上,提出基于防水密封垫失效的拼缝有效开度假定,进而推导出基于拼缝有效开度的盾构隧道渗流量及衬砌等效渗透系数的实用计算公式。以国内较为通用的常规断面盾构隧道为例,利用上述实用公式估算其渗流量,并与基于块体离散元的数值模拟结果相互验证。再以3种不同几何形态的盾构隧道为原型,完成了135种不同工况下的渗流计算,探讨了有效开度、衬砌外水压及衬砌几何形态,对盾构隧道渗流量及衬砌等效渗透系数的影响。结果表明:拼缝有效开度对渗流量及等效渗透系数的影响十分显著,未考虑拼缝间密封垫失效的传统计算方法可能高估了盾构隧道衬砌的防水性能。本文所述实用计算公式,具有表达清晰、计算简便的特点,可为盾构隧道衬砌的防水设计及后续服役性能评价提供定性和定量的参考。  相似文献   

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