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浅埋隧道围岩应力场的计算复变函数求解法 总被引：2，自引：1，他引：1
对于受地表边界和地面荷载影响的浅埋隧道的围岩应力场,由于在数学处理上存在一定的困难,很难用解析解来进行分析,而通常采用边界元或有限元的数值方法来解答。为了求解浅埋隧道的应力场,采用边界配点来确定边界条件,同时用保角映射将一个含圆孔的半无限空间区域映射为圆环域,然后把这个区域内的解析函数展开成Laurent级数的形式,利用Muskhelishvili的复变函数理论和最小二乘法来确定解析函数的各项系数,从而求得浅埋隧道围岩压力的半数值、半解析解,最后通过算例给出了围岩应力的分布情况。计算结果表明,该方法计算精度高、计算量小,具有应用价值。 相似文献
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对于浅埋隧道施工引起土层位移的解析解,其边界条件的数学处理上比较困难,因此实际工程的应用中受到限制。为解决这一缺陷,基于弹性力学的Airy应力函数,将半无限平面内土体的应力及位移分布转化为解析函数。然后,采用边界配点的方法,控制地表处的应力边界条件( = 0, = 0)及隧道周边土体的位移边界条件( , )。最后,采用最小二乘法,确定土体应力及位移函数的各项系数,求得浅埋隧道在周边土体产生径向位移的作用下,地表及深层土体位移的半数值半解析解。算例分析表明,该方法可以考虑任意荷载及位移作用的边界条件,能够充分发挥解析法和数值法两者的优点,且计算结果与实测结果较吻合,在预测地表及深层土层位移中具有一定的实用价值,可为进一步采取工程措施控制地层变形提供理论依据。 相似文献
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围岩的应力应变是分析隧道开挖中围岩稳定性的重要依据。目前比较成熟的隧道施工力学方法主要是对隧道开挖过程进行数值模拟。通过大型有限元软件ANSYS,计算了不同埋深、不同坡度角、不同覆盖层厚度条件下,马鞍形浅埋偏压软岩隧道围岩的应力应变,分析其规律并进行方案比选,确定了此类隧道比较合理的设计方案。分析结果表明：以2倍洞径的埋深作为偏压隧道深埋或浅埋的判断依据是合理的;在保证围岩稳定不发生片帮冒顶的前提下,减小埋深和覆盖层厚度是比较合理的;隧道内壁各点的应力应变规律可以为隧道开挖中支护结构参数的选取提供参考。 相似文献
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在既有公路下进行浅埋隧道开挖会引起地层产生位移,导致地表沉降。为了保证施工安全,快速精确地计算地层位移及应力,有效地控制地表沉降,对浅埋隧道的设计与施工均十分重要。在镜像法原理的基础上,引入等效模量当层法,推导出了在有上覆不同材料下浅埋圆形隧道开挖引起地层位移、应力及地表沉降的解析分布规律。计算结果表明,既有路基下开挖隧道引起地层产生的位移和应力解析解能够很好地体现上层高弹性模量路基对沉降及应力的扩散作用,可以求得隧道开挖后洞周地层包括上覆路基及下卧层中任意位置处的位移、应力以及地表沉降,为在双层地基材料中开挖浅埋隧道引起地层位移及地表沉降的计算提供了一种新的解析方法。 相似文献
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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
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针对偏压软弱围岩隧道预留核心土法不同开挖顺序造成围岩不同变形量的问题,结合洞头山工程实例,运用现场监控量测结合MIDAS数值模拟的方法,分析比较偏压软弱围岩隧道在不同开挖顺序下各阶段围岩位移变形量。研究表明:开挖顺序的改变能够有效减小隧道各部围岩变形量,且减小程度从大到小的岩体位置依次为浅埋拱腰处、浅埋拱脚处、深埋拱腰处、深埋拱脚与拱顶;拱浅埋侧最大主应力明显减小。因此对于偏压软弱围岩隧道先开挖深埋侧比先开挖浅埋侧更为安全合理。研究成果为隧道信息化施工提供依据,也为洞头山及具有类似地质地形情况的隧道施工提供借鉴与指导。 相似文献
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《岩土力学》2017,(10):2780-2788
特大断面浅埋暗挖隧道是一种新型隧道,目前尚无相应的设计施工技术规范与标准可循。以重庆市轨道交通3号线红旗河沟车站隧道为工程背景,结合以前施工方法的优缺点,提出了一种新的施工方法十字岩柱法。为了解这种施工方法在施工过程中隧道围岩位移和应力的变化情况,采用地质力学模型试验方法进行研究。试验对监测断面的位移和应力进行系统监测,全方位地了解各开挖步隧道围岩各处的应力与位移变化情况。选取工程背景现场的地质参数,采用ABAQUS软件建立数值分析模型,将数值计算与试验实测结果进行对比,两者的位移与应力变化规律基本一致,这表明模型试验实测的数据比较准确地揭示了隧道围岩位移及应力变化规律。其研究工作可对今后类似工程的施工提供经验和指导。 相似文献
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Complex variable analysis for stress distribution of an underwater tunnel in an elastic half plane 
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下载免费PDF全文 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
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针对浅埋暗挖洞桩法理论分析落后于工程实践的实际情况,依据地下结构设计计算理论的地层--结构法,以有限单元法作为分析手段,建立三维计算模型,系统开展了浅埋暗挖洞桩法施工过程的数值模拟,以及参数变化对洞周围岩稳定性和位移场的影响分析。结果表明：浅埋暗挖洞桩法用于大断面洞室或超浅埋洞室暗挖施工时,洞周围岩稳定性良好,并可有效控制地表沉降。洞室跨度为14 m左右时控制地表沉降的效果最好;在不同埋深条件下控制地表沉降的效果基本相同;洞室高度的影响则不明显。研究的结论对今后浅埋大断面单跨洞室暗挖施工方案比选和采用浅埋暗挖洞桩法施工具有指导 作用。 相似文献
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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
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Analytical stress and displacement due to twin tunneling in an elastic semi‐infinite ground subjected to surcharge loads 下载免费PDF全文
下载免费PDF全文 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
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An analytical solution is presented for a buoyant tunnel in an elastic half‐plane. The tunnel undergoes a prescribed displacement along its boundary, and the surface of the half‐plane is stress‐free. The solution uses the complex variable method and consists of conformally mapping the hole and half‐plane to an annular region. The complex potentials each contain two logarithmic terms due to the resultant buoyancy force acting on the tunnel, and as a result the displacements at infinity are unbounded. An example is presented for the case of a rigid buoyant tunnel in a half‐plane with gravity loading. Even though the tunnel does not deform, the buoyancy effect can be clearly seen in the contours of the displacements and stresses. Copyright © 2002 John Wiley & Sons, Ltd. 相似文献
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随着我国城市化进程的不断推进,地下空间的开发和利用越来越受重视,特别是盾构隧道已成为工程建设的重要技术手段。而城市地下环境日趋复杂,市政隧道下穿既有道路的项目愈发常见,研究与之对应的土体位移预测方法对地下空间安全评估至关重要。借助弹性力学中薄壁圆筒的平面模型,构建相应的边界条件,推导出适用于有重地层浅埋圆截面土体沉降变形计算方法。以澳门纯钢纤维混凝土盾构隧道下穿友谊大马路工程为实例,并与不同收敛模式下随机介质理论进行对比验证。研究结果表明：理论公式与土体位移实测值吻合度较高,且略优于随机介质理论的计算结果。理论公式综合考虑了路基土体参数、隧道深径比及施工技术水平等因素的影响,计算结果合理可靠,可为盾构隧道下穿施工诱发土体位移预测提供重要的理论支持。 相似文献
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静压沉桩过程中会产生强烈的挤土效应,使得桩周土及邻近的地下电缆隧道产生扰动变形,如果变形过大,可能破坏隧道的防水结构,造成隧道渗漏水,严重影响隧道的正常使用及安全。在圆柱孔扩张理论及基床系数法的基础上,研究了饱和软土地区静压沉桩作用下周边地层及邻近既有电缆隧道应力及水平位移的理论计算方法;考虑群桩效应,推导了单排群桩施工造成邻近既有电缆隧道水平位移的理论计算方法,并研究了群桩效应影响系数的取值范围;最后,开展了实际工程的理论计算和数值模拟。研究结果表明：提出的方法可方便计算出单桩及单排群桩施工造成的邻近既有电缆隧道的水平位移,计算结果与数值模拟结果吻合性良好。研究可为有邻近桩基施工时电缆隧道的扰动预测及保护提供参考。 相似文献