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1.
Characteristic Curves for Deep Circular Tunnels in Poroplastic Rock   总被引:2,自引:1,他引:1  
A complete analytical solution for an axisymmetric deep tunnel excavated in a saturated poroplastic rock is presented. Results are found for short- and long-term analyses and for different drainage conditions at the rock–liner interface. In the derivation, the following assumptions are made: (1) circular cross-section, (2) deep tunnel, (3) plane strain conditions on a cross-section perpendicular to the tunnel axis, (4) axisymmetric loading, (5) the rock is saturated, homogeneous and isotropic, and (6) the rock is elastic-perfectly plastic with brittle failure and non-associated flow rule. The results obtained indicate that, if the rock remains elastic during construction, the stresses of the liner and the tunnel deformations are the same for short- and long-term conditions and are independent of the drainage conditions at the rock–liner interface and on the magnitude of Biot’s parameter α. If the rock yields, the stresses in the liner and the tunnel deformations strongly depend on the type of analysis. Effective radial and tangential stresses inside the rock decrease with Biot’s parameter α, while radial displacements increase. The response of the liner in terms of stresses and deformations strongly depends on its stiffness relative to the rock, yielding of the rock, groundwater and drainage conditions, and construction operations, while it is somewhat less sensitive to the rock’s poroplastic properties. Stresses and deformations inside the rock, however, show a much stronger dependency.  相似文献   

2.
蔡燕燕  张建智  俞缙  陈士海 《岩土力学》2015,36(7):1831-1839
深埋隧洞围岩变形是一个复杂的非线性力学问题,其中岩石的蠕变全过程和扩容是两个重要的影响因素。引入扩容角考虑塑性体积变化的影响,推导Hoek-Brown屈服准则下考虑与不考虑洞周面力的深埋隧洞围岩非线性应力解。借助可描述蠕变全过程行为的河海模型,获得了围岩黏弹塑性区蠕变位移表达式。针对不同NVPB蠕变参数和不同材料参数m值情况,讨论分析了洞周面力与扩容角对隧洞洞壁蠕变位移的影响规律。结果表明:在高地应力作用下,采用非线性蠕变模型描述深埋隧洞围岩蠕变问题可获得蠕变全过程曲线;扩容角增大或洞周面力和材料参数m值减小时,相同时刻隧洞洞壁蠕变位移增大,对围岩长期稳定不利。研究结论对深埋隧洞围岩临崩预报具有一定指导意义。  相似文献   

3.
An analysis is presented of the non-linear creep effects around a deep circular tunnel driven in ‘squeezing’ ground. The time-dependent behaviour of the geotechnical medium is described by means of a simple viscoplastic rheological model capable of approximating primary, secondary and tertiary creep behaviours. It is shown that tertiary creep can be allowed for by providing a suitable law governing the variation of some material parameters (such as viscosity) with stresses and strains. The basic operations of the ‘evolutive’ procedure adopted for time integration are outlined. Along each time integration step, quadratic variations of the stress and strain fields and linear variations of the material parameters are assumed. The results of various finite element analyses are presented concerning both lined and unlined cases. For the lined cases, the influence of the liner stiffness and of the time elapsed between the end of excavation and the liner installation is considered.  相似文献   

4.
To investigate long-term, time-dependent tunnel deformations, this study employs a non-linear rheological model capable of considering the tertiary creep behaviour of the rock mass (Okubo and Fukui, 2006). A model parametric study is undertaken with a 3D numerical model encompassing a tunnel. The results show that the tunnel walls start to deform at an accelerating rate after a lapse of ten years. The results offer an explanation to previously reported tunnel instability cases. A 3D numerical model encompassing weak rock formation obliquely intersecting with the tunnel is then constructed. The analysis yields asymmetric wall deformation pattern, suggesting the need for optimizing rock supports.  相似文献   

5.
Time-dependent response of deep tunnels is studied considering the progressive degradation of the mechanical properties of the rock mass. The constitutive model is based on a rock-aging law for the uniaxial strength of the rock and for the Young’s modulus. A semi-analytical solution is developed for the stresses and displacements around a deep circular tunnel taking into account the face advance. The evolution of the plastic and damage zones over time is determined. Numerical examples are presented for the case of Saint-Martin-La-Porte access adit in France of the Lyon–Turin Base Tunnel. The computed results which are compared with the field data in terms of the convergence of tunnel wall and of the displacements inside the rock mass monitored by multi-point extensometers show the efficiency of the approach to simulate the time-dependent deformation of a tunnel excavated in squeezing ground. Simple relationships are proposed to evaluate the parameters of the constitutive model directly from those of the empirical convergence law presented in previous work.  相似文献   

6.
恒载作用下轴对称圆巷围岩的流变变形方程求解   总被引:1,自引:0,他引:1  
建立围岩-支护相互作用流变变形机制的数学力学模型是解决岩石地下工程支护问题的有效途径,其关键问题是,在围岩产生流变变形的过程中支护是如何对围岩进行作用的。根据基于Levy-Mises本构关系及D-P屈服准则的轴对称圆巷的理想弹塑性解、一维蠕变曲线的等时曲线相似的假设以及三维流变试验结果,推导出了原岩应力和被动支护反力均为恒载,且巷道围岩为三维应力状态下的蠕变方程及轴对称圆巷围岩的非线性黏弹塑性流变变形计算公式。与前人的工作相比,文中推导的公式中含有对围岩流变变形起决定作用的2个参数,即原岩应力 和岩石材料的单轴塑性屈服应力 ,因此公式推导的理论基础更加完备、可信度更高。  相似文献   

7.
软弱破碎围岩隧道炭质页岩蠕变特性试验研究   总被引:3,自引:0,他引:3  
刘钦  李术才  李利平  原小帅  赵勇 《岩土力学》2012,33(Z2):21-0029
采集贵广铁路天平山隧道典型软弱破碎围岩岩样,在室内开展三轴常规压缩和三轴压缩蠕变试验。基于岩石试验成果,分析炭质页岩的蠕变力学特性,低应力水平条件下岩石仅出现减速蠕变和等速蠕变阶段,在更高的应力水平条件下,岩石并未出现加速蠕变的现象,但围压在一定程度上提高岩石的屈服强度,弹性模量亦有随着围压增加而增大的趋势。据此,建立依托工程炭质页岩蠕变全过程的黏弹塑性应变软化蠕变力学模型,推导该蠕变力学模型在三维应力状态下的本构方程,并确定模型的参数,运用最小二乘法对模型的参数进行辨识。通过与试验曲线对比显示,所建蠕变模型能够描述依托工程炭质页岩的蠕变力学特征,可以用来研究该隧道软弱破碎围岩的蠕变性质和稳定性。  相似文献   

8.
Time-Dependent Behavior of Diabase and a Nonlinear Creep Model   总被引:2,自引:1,他引:1  
Triaxial creep tests were performed on diabase specimens from the dam foundation of the Dagangshan hydropower station, and the typical characteristics of creep curves were analyzed. Based on the test results under different stress levels, a new nonlinear visco-elasto-plastic creep model with creep threshold and long-term strength was proposed by connecting an instantaneous elastic Hooke body, a visco-elasto-plastic Schiffman body, and a nonlinear visco-plastic body in series mode. By introducing the nonlinear visco-plastic component, this creep model can describe the typical creep behavior, which includes the primary creep stage, the secondary creep stage, and the tertiary creep stage. Three-dimensional creep equations under constant stress conditions were deduced. The yield approach index (YAI) was used as the criterion for the piecewise creep function to resolve the difficulty in determining the creep threshold value and the long-term strength. The expression of the visco-plastic component was derived in detail and the three-dimensional central difference form was given. An example was used to verify the credibility of the model. The creep parameters were identified, and the calculated curves were in good agreement with the experimental curves, indicating that the model is capable of replicating the physical processes.  相似文献   

9.
Summary  A new formulation is presented for deep circular tunnels in rock with cylindrical anisotropy. The formulation is an exact solution since it satisfies equilibrium, strain compatibility, and the anisotropic constitutive model. Complete solutions have been found for two scenarios: tunnel with excavation damage zone, and tunnel with rockbolt support. The solution is based on the assumption of a deep, circular tunnel in a medium with two homogeneous zones: an inner zone surrounding the tunnel, which is either isotropic or anisotropic, and an outer zone, for the remainder of the medium, which is isotropic. Plane strain conditions, elastic response of rock, rockbolts and support, and simultaneous excavation and support installation are also assumed. For tunnels surrounded by an excavation damage zone with reduced rock properties, the tangential stresses and the radial deformations at the tunnel wall are very sensitive to both the magnitude of stiffness reduction of the damaged rock and the size of the damaged zone. The effect of the rockbolts on the rock is approximated by treating the rockbolt-rock composite as a material with cylindrical anisotropy with stiffnesses related to the properties of the rock and rockbolts, and spacing of the rockbolts. Comparisons between the analytical solution and a numerical method show small differences and provide confidence in the approach suggested.  相似文献   

10.
When evaluating the long-term stability of existing tunnels, the creep behavior of soft rock around the tunnel should be properly considered. It is also important to understand the failure mechanism of soft rock when designing the mitigation and remediation of the failure around a tunnel. In this paper, an elasto-viscoplastic model is first modified so that the overconsolidation effect and the structure effect of soft rock can be considered. Then, the performance of the modified model is confirmed with drained triaxial compression tests and creep tests on a manmade rock produced with gypsum and diatom clay. Based on the modified model, finite element analyses are conducted to simulate the model tests of an existing tunnel constructed within manmade rock. Two kinds of model tests are simulated: one is loading failure test and the other creep failure test. The good agreement between the numerical results and the test data validates the performance of the modified constitutive model and the applicability of the corresponding FEM for evaluating the creep failure behavior of an existed tunnel constructed in soft rock.  相似文献   

11.
初期支护对软岩隧道围岩稳定性和位移影响分析   总被引:15,自引:3,他引:12  
软弱岩体隧道开挖后,围岩变形具有异常显著的流变性。基于Poyting-Thomoson模型,对隧道围岩位移进行了粘弹性解析分析,根据所得出的解析解,结合渝(重庆)沙(长沙)高速公路石龙隧道位移监控量测实践,对初期支护后隧道围岩变形特征量进行了分析对比,结果表明,理论曲线能较好地反映围岩实际位移变化特征。最后通过将支护前后围岩受力状态与单轴和三轴应力状态岩石蠕变进行类比,得知初期支护在一定程度上减小了围岩的最终变形量,可以有效地抑制隧道围岩的变形速率。其结果为确定合理的二次支护时机提供了理论依据,对同类隧道的施工支护具有很好的指导意义和较高的参考价值。  相似文献   

12.
考虑地下水、注浆及衬砌影响的深埋隧洞弹塑性解   总被引:1,自引:0,他引:1  
对于深埋隧洞,地下水-围岩-注浆圈-衬砌共同形成了一个水压平衡体系,传统的隧洞应力与塑性区计算方法均未同时考虑上述4个因素的共同作用。以深埋隧洞为研究对象,将围岩、注浆圈、衬砌视为均质各向同性连续弹塑性介质,基于地下水动力学、弹塑性力学及摩尔-库仑屈服准则,推导了4个因素共同作用下深埋隧洞轴对称问题的应力弹塑性解与塑性区计算公式;利用Matlab编制程序对某隧洞工程进行了计算,并与传统计算方法进行了对比,验证了公式的正确性,指出了传统计算方法的缺陷;讨论了注浆参数对塑性区的影响规律,提出了最优注浆圈厚度的确定方法。  相似文献   

13.
齐明山  徐正良  崔勤  宁佐利 《岩土力学》2007,28(Z1):493-496
厦门海底隧道是我国建设的第一条海底公路隧道,其穿越的F1,F2,F3,F4共4条断层破碎带,洞体围岩软弱、破碎,流变属性十分明显。对该类岩石进行了室内三轴压缩流变试验。试验结果表明,幂律型蠕变模型可以用来较好地模拟该类岩石除第三阶段蠕变以外的蠕变行为,并得到幂律型蠕变模型的相关流变参数。将幂律型蠕变方程和Drucker-Prager屈服准则相耦合来描述岩体的非线性黏弹塑性特性,应用数值方法研究了该隧道围岩的变形特性及其特征曲线。  相似文献   

14.
Most of the railway tunnels in Sweden are shallow-seated (<20 m of rock cover) and are located in hard brittle rock masses. The majority of these tunnels are excavated by drilling and blasting, which, consequently, result in the development of a blast-induced damaged zone around the tunnel boundary. Theoretically, the presence of this zone, with its reduced strength and stiffness, will affect the overall performance of the tunnel, as well as its construction and maintenance. The Swedish Railroad Administration, therefore, uses a set of guidelines based on peak particle velocity models and perimeter blasting to regulate the extent of damage due to blasting. However, the real effects of the damage caused by blasting around a shallow tunnel and their criticality to the overall performance of the tunnel are yet to be quantified and, therefore, remain the subject of research and investigation. This paper presents a numerical parametric study of blast-induced damage in rock. By varying the strength and stiffness of the blast-induced damaged zone and other relevant parameters, the near-field rock mass response was evaluated in terms of the effects on induced boundary stresses and ground deformation. The continuum method of numerical analysis was used. The input parameters, particularly those relating to strength and stiffness, were estimated using a systematic approach related to the fact that, at shallow depths, the stress and geologic conditions may be highly anisotropic. Due to the lack of data on the post-failure characteristics of the rock mass, the traditional Mohr–Coulomb yield criterion was assumed and used. The results clearly indicate that, as expected, the presence of the blast-induced damage zone does affect the behaviour of the boundary stresses and ground deformation. Potential failure types occurring around the tunnel boundary and their mechanisms have also been identified.  相似文献   

15.
Lined Circular Tunnels in Elastic Transversely Anisotropic Rock at Depth   总被引:1,自引:1,他引:0  
Closed-form solutions for displacements and stresses of both the liner and the rock are presented for a deep circular tunnel excavated in transversely anisotropic rock above or below the water table subjected to static or seismic loading. The solutions are obtained with the assumption of elastic response of rock and liner, tied contact between rock and liner, impermeable liner, plane strain conditions along the tunnel axis and simultaneous excavation, and liner installation. The liner of a tunnel placed below the water table must support, in addition to the rock stresses, the full water pressure, while a tunnel located above the water table must support only the rock pressures. The solutions presented for static loading show, however, that displacements and stresses of the liner and rock are the same when the tunnel is placed above or below the water table as long as the total far-field stresses are the same. With rapid loading, e.g. seismic loading, excess pore pressures may be generated in saturated rock, which induce a different response than that of a tunnel excavated in dry rock. The analyses indicate that stresses and displacements are more uniform when excess pore pressures are produced, which seems to indicate that pore pressure generation tends to reduce non-uniform response in anisotropic rock.  相似文献   

16.
层状盐岩蠕变变形相互作用研究   总被引:2,自引:1,他引:1  
王安明  李小根  杨春和  黄志全 《岩土力学》2010,31(12):3964-3969
考虑泥岩夹层和盐岩的弹性性质和稳态蠕变性质,通过数值试验方法计算层状复合盐岩体在单轴和低围压三轴荷载作用下蠕变变形过程中力学相互作用和变形时效规律,分析泥岩夹层和盐岩层因蠕变率不匹配对层状盐岩蠕变的影响,初步讨论了层状复合岩体的复合材料研究方法。结果表明,层状盐岩中泥岩夹层与盐岩因弹性参数不匹配产生的初始应力集中在蠕变过程中发生松弛,因泥岩夹层与盐岩层蠕变率不匹配导致两者之间应力重分布,泥岩夹层对盐岩层的蠕变有明显抑制作用。这些分析体现了层状盐岩蠕变过程的非线性性质,为建立层状盐岩体合理本构模型奠定了基础。  相似文献   

17.
The interactions between perpendicularly crossing tunnels in the Sydney region are investigated using a full three-dimensional (3D) finite element analysis coupled with elasto-plastic material models. Special attention is paid to the effect of subsequent tunnelling on the support system, i.e. the shotcrete lining and rock bolts, of the existing tunnel. The results of the analysis show that in a region such as Sydney, with relatively high horizontal stresses, installation of the new tunnel causes the shotcrete lining of the existing tunnel to be in tension in the side facing towards the tunnel opening and in compression at the crown and invert. The pre-stressed rock bolts are usually tensioned more in the sections closest to the tunnel opening. For this particular study, if a new tunnel is driven perpendicularly beneath an existing tunnel, significant increases are induced in the bending moments in the shotcrete lining at the lateral sides of the existing tunnel and in the axial forces at its crown and invert. The increase in side bending moments causes further tensile cracking but the crown and invert stresses remain within the thresholds for both compressive failure and tensile cracking for shotcrete lining of typical concrete quality. Moreover, the driving of the new tunnel causes the tensile forces in the existing side rock bolts to increase and those in the existing crown rock bolts to decrease. In contrast, if the new tunnel is driven perpendicularly above the existing tunnel, compressive failure of the existing shotcrete lining is induced at the crown of the deeper tunnel for concrete of typical capacity and a significant tensile force increase of the existing rock bolts around the crown. It is concluded that in order to ensure the stability of the existing tunnel, local thickening is needed at the sides of the existing shotcrete lining if the shallow tunnel is installed first and local thickening is needed at the crown if the deep tunnel is installed first.  相似文献   

18.
宋勇军  雷胜友  韩铁林 《岩土力学》2012,33(7):2076-2080
借鉴经典元件组合模型的建模思路,将含分数阶微积分的软体元件与弹簧元件串联,结合一个幂函数黏塑性体,提出一种新的四元件非线性黏弹塑性流变模型,并给出该模型的本构方程和蠕变方程,得到在不同应力条件下的蠕变曲线。可以发现,岩石稳定蠕变阶段的非线性渐变过程和加速蠕变阶段蠕变速率的快慢程度可通过调整蠕变参数进行有效地模拟。在较低应力水平时,模型能够有效地刻画岩石的初始蠕变和稳定蠕变;当应力水平超过岩石的长期强度时,能够反映加速蠕变特性。利用该模型对试验数据拟合的结果表明,含有软体元件和幂函数黏塑性体的非线性流变模型能够有效地描述岩石的蠕变特性,减少组合模型中的元件个数和参数数量。  相似文献   

19.
Since both lining structure and rock mass exhibit delayed behaviour, tunnel equilibrium conditions evolve with time. After discussing existing work done on different aspects of long-term tunnel behaviour, the aim of this paper is to “understand” the influence of rock mass and lining degradations on the long-term stability conditions of the tunnel by means of the convergence–confinement method. In order to represent the effects of degradation on tunnel long-term conditions, specific degradation models are selected according to the disorders identified during principal inspections of road tunnels in Switzerland. By simulating the reduction of the mechanical properties of both the rock mass and the lining or by using creep models, it is possible to assess the influence of the main degradation processes on tunnel stability. The results are interpreted in terms of tunnel safety factor. The presented approach for the determination of the long-term behaviour of tunnels, although valid for simple tunnel geometry and field stress conditions, allows to roughly estimate the influence of significant degradation processes that affect the rock mass and the supporting structure. Though this approach results in some simplification, it may be generalised and adopted with more refined numerical analyses for improving the assessment of tunnel long-term conditions.  相似文献   

20.
Time-dependent behaviour of the rock mass   总被引:1,自引:0,他引:1  
Summary The strength of intact rock and the rock mass is time-dependent. For intact rock experimental verification is available, for the rock mass the scale of time-dependence is a matter of judgement. Rock mass classifications do however emphasize the effect of time on tunnel stability. This paper examines the source of time-dependence in rocks and the rock mass and suggests a technique for estimating the long term strength. The long term strength of the rock mass is controlled by the time-dependent weakening of intact rock. Frictional resistance, a major source of rock mass strength, increases rather than decreases with time. Lifetime estimation for rocks can be accomplished phenomenologically or mechanistically. The first is a statistical process of wide applicability, the second is more restrictive in usage as its applies only to materials that suffer time-dependent strain (creep). Although the mechanistic route is more appealing, it has a major drawback as it concentrates on steady state creep. There is no strong evidence for steady state creep in rocks. The technique for long term prediction is developed through the analysis of the failure rate under constant load. The failure rate for a given load and environment is established from the frequency distribution of time-to-failure data as measured in static fatigue tests. As expected, the failure rate is strongly affected by both the loading and the environmental condition. The influence, however, is systematic and predictable.  相似文献   

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