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1.
针对高放射核废深地质处置库近场环境,建立分布热源作用下饱和裂隙岩体三维水流-传热过程中位移和应力的一种半解析计算方法:采用Goodier热弹性位移势和Laplace变换计算由温度梯度产生的温梯位移和应力;考虑单一裂隙的情况,利用经典弹性力学的Boussinesq解和Cerruti解计算为满足边界条件的约束位移和应力,与温梯位移和应力叠加,可得总体热位移和应力;把裂隙面离散为矩形单元集合,采用极坐标系下的解析法计算包含奇点的单元积分,采用数值法计算与分布热源有关和不含奇点的单元积分。与基于裂隙面法向一维热传导假设的一种解析解对比,结果表明,半解析法与解析法的计算结果基本一致,但由于半解析法考虑岩石的三维热传导,因温度时空分布和演变的不同而导致不同的温梯应力。针对一个假想单裂隙岩体三维水流-传热过程,计算温梯位移和应力、约束位移和应力、总体位移和应力;结果表明,裂隙水流-传热可能对位移和应力的分布和演变有显著影响,距离分布热源较近的岩石因升温膨胀受到约束而出现压应力,而距离分布热源较远的岩石则可能因协调收缩受到约束而出现拉应力。 相似文献
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It has been known that material anisotropy and thermal stresses affect borehole stability significantly. Aiming at the experimental studies associated with borehole stability in anisotropic (transversely isotropic) poroelastic materials subject to non‐isothermal conditions, this paper details and applies an anisotropic porothermoelastic solution to an unjacketed hollow cylinder in a triaxial set‐up. Numerical analyses are presented to demonstrate thermal and material anisotropy effects on the pore pressure and the stress concentrations in and around the geometry of a hollow cylinder subjected to thermal and stress perturbations. Copyright © 2004 John Wiley & Sons, Ltd. 相似文献
3.
To estimate the groundwater flow around a borehole heat exchanger (BHE), thermal properties of geological core samples were measured and a thermal response test (TRT) was performed in the Tsukuba upland, Japan. The thermal properties were measured at 57 points along a 50-m-long geological core, consisting predominantly of sand, silt, and clay, drilled near the BHE. In this TRT, the vertical temperature in the BHE was also monitored during and after the test. Results for the thermal properties of the core samples and from the monitoring indicated that groundwater flow enhanced thermal transfers, especially at shallow depths. The groundwater velocities around the BHE were estimated using a two-dimensional numerical model with monitoring data on temperature changes. According to the results, the estimated groundwater velocity was generally consistent with hydrogeological data from previous studies, except for the data collected at shallow depths consisting of a clay layer. The reasons for this discrepancy at shallow depths were predicted to be preferential flow and the occurrence of vertical flow through the BHE grout, induced by the hydrogeological conditions. 相似文献
4.
A new analytical approach for the analysis of stress around a post-tensioned anchor in rock with two perpendicular joint sets is presented. The solution considers nonlinear shear stresses developed along the anchor bond length as well as debonding at the tendon–grout interface. The bearing plate effects are also considered in the analyses. The following assumptions are made: (1) homogeneous and orthotropic elastic rock; (2) half-space rock mass with plane strain conditions; (3) trilinear bond-slip model for the behavior of the tendon–grout interface; (4) an elastic anchor. The employed methodology is to decompose the anchor problem into two problems of simpler loadings: stresses produced under a rigid bearing plate and stresses induced by interfacial shear stresses mobilized along the bond length. Based on the proposed solution, an illustrative example is given and the results show that a large compressive region is formed around the anchor free length. Tensile stress concentrations are also observed around the bond length and near the rock surface outside the bearing plate. A parametric study is also conducted to investigate the effects of joint properties on the induced stresses. The results show that as the number of joints intersecting the anchor axis increases, the magnitude of compressive stresses in the free zone decreases, while the size of compression zone around the anchor increases. To verify the results of the analytical approach, a comparison is made with numerical results obtained by using the finite element method. The analytical solutions compare very well with the results obtained by numerical method. 相似文献
5.
针对自行研制的岩石空心圆柱扭剪仪可独立控制4个加载参数(轴力、扭力、内围压和外围压)的功能,通过数学和力学分析,系统地整理出几种易于实现且符合实际工程的应力路径及加载方式:在轴力与内围压满足一定关系的前提下,可以获取岩石的抗拉强度,提供一种新型测量岩石抗拉强度的方法;通过控制内外围压及轴力,可以进行常规三轴试验与真三轴试验,克服了现阶段岩石真三轴试验中试验装置复杂、试样加载面摩擦大的缺点;在轴力与内、外围压分别满足一定关系时,可以分别实现平均应力p不变与中主应力系数b不变的应力路径,用于研究应力主轴旋转对岩石力学性质的影响。上述应力路径的实现对岩石力学性质的研究以及现阶段岩石室内试验的发展具有重要意义。 相似文献
6.
随着深部岩体工程的发展,开挖卸荷导致的应力主轴旋转问题引起了广泛关注。首先,分析总结了岩体工程中存在的应力主轴旋转问题及其对岩体工程稳定性的影响;其次,介绍了土体空心圆柱扭剪仪的发展现状及其特点,从荷载的施加方式、试样尺寸两个方面指出了研制岩石空心圆柱扭剪仪的关键问题,并与土体空心圆柱扭剪仪进行了对比,提出了新的扭矩施加技术和合理的岩石空心圆柱试样尺寸;最后,总结概括了考虑应力主轴旋转的土体本构模型的研究成果,并对考虑应力主轴旋转的岩石本构关系的研究进行了展望。该工作将对岩石空心圆柱扭剪仪的研制和相关理论的研究提供一定的参考和指导。 相似文献
7.
Stability of expansive cement grout borehole seals emplaced in the vicinity of underground radioactive waste repositories 总被引:1,自引:1,他引:0
An expansive cementitious borehole plug emplaced in an underground opening in the vicinity of an underground nuclear waste repository may generate radial stresses on the walls of the opening due to an axial stress applied to the borehole plug and due to plug swelling. As these radial stresses may lead to the tensile fracturing of the rock, minimizing or preferably eliminating tensile stresses in rock is particularly important to preserve waste containment. Presented in this paper are the theoretical radial (normal) stress distribution and tensile strength in a borehole plug–rock system due to combined axial, thermal and lateral loading, along with analyses of plug–rock mechanical interactions in regards to borehole stability against tensile fracturing. 相似文献
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钻杆式水压致裂原地应力测试系统的柔性会影响最大水平主应力的计算精度。利用空心岩柱液压致裂试验获得的岩石抗拉强度来取代重张压力计算最大水平主应力是降低钻杆式测试系统柔性的负面影响的重要途径。在福建某隧道深度为65 m的钻孔内开展了8段的高质量水压致裂原地应力测试,随后利用钻孔所揭露的完整岩芯开展了17个岩样的空心岩柱液压致裂试验。利用空心岩柱液压致裂所得的抗拉强度平均值为8.40 MPa,与经典水压致裂法确定的岩体抗拉强度8.22 MPa接近。对于20 m的范围内8个测段的原地应力量值,最小水平主应力平均值为8.41 MPa,基于重张压力Pr的最大水平主应力平均值为16.70 MPa;基于空心岩柱抗拉强度的最大水平主应力量值平均值为16.88 MPa,两种方法获得的最大水平主应力平均值基本一致。最大最小水平主应力与垂直主应力之间的关系表现为σH > σV > σh,这种应力状态有利于区域走滑断层活动。通过对比分析可知,对于钻杆式水压致裂原地应力测试系统,当测试深度小且测试系统柔性小时,基于重张压力和基于空心岩柱抗拉强度得到的最大水平主应力量值差别不大,这说明基于空心岩柱的岩石抗拉强度完全可以用于水压致裂最大水平主应力的计算,同时基于微小系统柔性的水压致裂测试系统获得的现场岩体强度也是可靠的。 相似文献
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针对深部工程岩体开挖时围岩内部应力状态复杂变化的特点,研制了可实现主应力量值变化和应力主轴旋转等复杂应力路径的岩石空心圆柱扭剪试验系统,可用于开展复杂应力作用下岩石的强度、变形和破坏形态的室内试验研究。介绍了该试验系统的基本结构、工作原理及技术参数。该试验系统具有如下特点:(1)通过利用空心圆柱试样与上、下压头的特点,克服了岩石试样扭矩施加的技术困难,将施加轴向力和扭矩的两个加载轴合二为一,彻底解决了轴向力加载与扭矩施加机构之间相互影响的技术难题。(2)通过采用新型自平衡加载三轴室,实现了轴向力、扭矩、内围压和外围压4种荷载的独立施加和控制。(3)采用应力与流量的加载控制方式,并通过软件集成,实现了主应力量值改变和应力主轴旋转耦合应力路径的准确模拟以及加载过程的稳定控制。(4)该试验系统结构简单,功能多样,操作方便。采用该试验系统进行了初步试验,验证了试验系统的可行性与实用性,表明该试验系统具有实现应力主轴旋转及主应力量值改变的复杂应力路径的功能。 相似文献
12.
A general poroelastic solution for axisymmetrical plane strain problems with time dependent boundary conditions is developed in Laplace domain. Time‐domain results are obtained using numerical inversion of the Laplace transform. Previously published solutions can be considered as special cases of the proposed solution. In particular, we could reproduce numerical results for solid and hollow poroelastic cylinders with suddenly applied load/pressure (Rice and Cleary, Rev. Geophys. Space Phys. 1976; 14 :227; Schmitt, Tait and Spann, Int. J. Rock Mech. Min. Sci. 1993; 30 :1057; Cui and Abousleiman, ASCE J. Eng. Mech. 2001; 127 :391). The new solution is used to model laboratory tests on thick‐walled hollow cylinders of Berea sandstone subjected to intensive pressure drawdown. In the experiments, pressure at the inner boundary of the hollow cylinder is observed to decline exponentially with a decay constant of 3–5 1/s. It is found that solutions with idealized step‐function type inner boundary conditions overestimate the induced tensile radial stresses considerably. Although basic poroelastic phenomena can be modelled properly at long time following a stepwise change in pressure, realistic time varying boundary conditions predict actual rock behaviour better at early time. Experimentally observed axial stresses can be matched but appear to require different values for α and ν than are measured at long time. The proposed solution can be used to calculate the stress and pore pressure distributions around boreholes under infinite/finite boundary conditions. Prospective applications include investigating the effect of gradually changing pore pressure, modelling open‐hole cavity completions, and describing the phenomenon of wellbore collapse (bridging) during oil or gas blowouts. Copyright © 2004 John Wiley & Sons, Ltd. 相似文献
13.
针对高放射性核废物地下处置库近场饱和裂隙岩体环境,提出一种由分布热源、饱和单裂隙和两侧无限大岩石构成的三维水流-传热简化模型,建立了控制微分方程和基于拉氏变换域格林函数的积分方程;采用矩形单元把裂隙面域离散化,利用极坐标下的解析方法计算包含奇点的单元积分,利用数值方法计算分布热源和不包含奇点的单元积分,建立拉氏变换域的线性代数方程组,求解后,利用拉氏数值逆变换,计算任意时刻裂隙水和岩石的温度分布。对两个无内热源、流场确定的计算模型进行了计算,与仅考虑岩石沿裂隙面法向一维热传导的解析解进行了对比。计算分析了分布热源作用下饱和单裂隙岩体的三维水流-传热特征及其对裂隙水流速、岩石热传导系数和热源热流集度的敏感度。计算结果表明:与直接采用高斯数值积分相比,提出的解析法奇异积分精度较高;就裂隙水温度而言,单裂隙岩体三维水流-传热半解析计算方法与解析法得到的结果基本一致,但由于半解析计算方法考虑了岩石的三维热传导,使得裂隙水的上游温度较低,而下游温度较高;无分布热源作用时,岩石热传导系数越大,裂隙水温度越低;裂隙水流速越大,裂隙进水温度对裂隙水和岩石温度分布的影响越明显;由于受到裂隙水流动传热的作用,分布热源对裂隙水温度和岩石温度的影响在裂隙水流的下游区域比较显著。 相似文献
14.
厚壁圆筒由于能充分发挥材料的抗压特性而越来越多地应用到基坑支护结构工程之中,传统的设计计算主要是在均布压力作用下厚壁圆筒的拉梅解。为了解决实际工程中经常遇到的偏心受压问题,给出了一个偏心荷载作用下厚壁圆筒的应力解析解,并结合工程实例对圆筒支护结构受力进行简化处理后,将解析解应用于计算偏心受压厚壁圆筒支护结构中的拉应力,特别是讨论了地下水位不均匀变化、地面不均匀堆载和土层不均衡开挖等可能会引起较大的圆筒环向拉应力和在圆筒内、外表面产生竖向裂缝,从而对圆筒支护结构产生不利影响。有利于指导对圆筒截面的配筋和控制基坑的开挖施工。 相似文献
15.
在传统键基近场动力学模型的基础上,提出可以反映岩石类材料应力-应变变化特点的改进型模型,弥补了传统近场动力学模型在模拟岩石类材料时无法反映岩石内应力随应变先增加再减小最后破坏这一特性的不足。运用改进型模型,对含有单裂纹试件在不同预制裂纹角度及拉伸荷载条件下的裂纹扩展过程进行了数值模拟,分析了开裂角度在不同预制裂纹角度及拉伸荷载条件下的变化。结果表明:预制角度及拉伸荷载对开裂角度都有影响,在试件周围拉荷载接近的情况下会获得较小的开裂角,并且在拉荷载一定的条件下开裂角会有先增加后减少的规律。同时模拟了含裂纹岩石在单轴压缩条件下的裂纹扩展情况,将数值模拟的结果与室内试验的结果对比,验证了所提出新模型的有效性。所提出的新模型可以较好地模拟岩石类材料在拉荷载条件下的力学特性,在岩石数值模拟方面有着较为广泛的应用前景。 相似文献
16.
Mechanical responses induced by temperature and air pressure significantly affect the stability and durability of underground compressed air energy storage (CAES) in a lined rock cavern. An analytical solution for evaluating such responses is, thus, proposed in this paper. The lined cavern of interest consists of three layers, namely, a sealing layer, a concrete lining and the host rock. Governing equations for cavern temperature and air pressure, which involve heat transfer between the air and surrounding layers, are established first. Then, Laplace transform and superposition principle are applied to obtain the temperature around the lined cavern and the air pressure during the operational period. Afterwards, a thermo-elastic axisymmetrical model is used to analytically determine the stress and displacement variations induced by temperature and air pressure. The developments of temperature, displacement and stress during a typical operational cycle are discussed on the basis of the proposed approach. The approach is subsequently verified with a coupled compressed air and thermo-mechanical numerical simulation and by a previous study on temperature. Finally, the influence of temperature on total stress and displacement and the impact of the heat transfer coefficient are discussed. This paper shows that the temperature sharply fluctuates only on the sealing layer and the concrete lining. The resulting tensile hoop stresses on the sealing layer and concrete lining are considerably large in comparison with the initial air pressure. Moreover, temperature has a non-negligible effect on the lined cavern for underground compressed air storage. Meanwhile, temperature has a greater effect on hoop and longitudinal stress than on radial stress and displacement. In addition, the heat transfer coefficient affects the cavern stress to a higher degree than the displacement. 相似文献
17.
为了避免均质和非均质模型不能较好地模拟围岩的层裂或板裂化现象,将岩石视为等效连续介质,即颗粒体材料。颗粒被视为弹性材料,而颗粒之间的界面破坏后被视为摩尔-库仑材料。颗粒和界面均被离散为正方形单元。采用FLAC研究了不同侧压系数时圆形巷道围岩中的剪切应变增量、最小、最大主应力等的分布规律。研究发现,颗粒体材料模型在压应力作用下诱发出的拉应力值接近于在模型边界上所施加的最大压应力,而最大压应力是所施加的最大压应力的数倍。这些结果意味着均质和非均质模型的计算结果是偏于不安全的。另外,最小主应力和剪切应变增量的等值线图均显示,这些量的高值区的距离大致相等,这与V形岩爆坑内的板裂化现象类似。围岩层裂现象的原因是环向的高压应力和径向的高拉应力的共同作用的结果。 相似文献
18.
Enriched finite element procedures for analyzing decoupled bolts installed in rock mass 总被引:1,自引:0,他引:1
Numerical procedures are developed to analyze interaction between fully grouted bolts and rock mass using ‘enriched finite element method (EFEM)’. A solid element intersected by a rock bolt along any arbitrary direction is termed as ‘enriched’ element. The nodes of an enriched element have additional degrees of freedom for determining displacements, stresses developed in the bolt rod. The stiffness of the enriched element is formulated based on properties of rock mass, bolt rod and grout, orientation of the bolt and borehole diameter. Decoupling at grout–bolt interface and elasto‐plastic behavior of rock mass have also been incorporated into the EFEM procedures. The results of this method are compared with analytical pull‐out test results presented by Li and Stillborg (Int. J. Rock Mech. Min. Sci. 1999; 36 :1013–1029). In addition, a numerical example of a bolted tunnel is provided to demonstrate the efficacy of the proposed method for practical applications. Copyright © 2010 John Wiley & Sons, Ltd. 相似文献
19.
Axisymmetric thermal consolidation of multilayered porous thermoelastic media due to a heat source
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This paper presents an analytical layer element solution to axisymmetric thermal consolidation of multilayered porous thermoelastic media containing a deep buried heat source. By applying the Laplace–Hankel transform to the state variables involved in the basic governing equations of porous thermoelasticity, the analytical layer elements that describe the relationship between the transformed generalized stresses and displacements of a finite layer and a half‐space are derived. The global stiffness matrix equation is obtained by assembling the interrelated layer elements, and the real solutions in the physical domain are achieved by numerical inversion of the Laplace–Hankel transform after obtaining the solutions in the transformed domain. Finally, numerical calculations are performed to demonstrate the accuracy of this method and to investigate the influence of heat source's types, layering, and the porous thermoelastic material parameters on thermal consolidation behavior. Copyright © 2015 John Wiley & Sons, Ltd. 相似文献
20.
The thermoelastic response due to a time-dependent rectangular heat source in a semi-infinite medium is analyzed. The problem originates from studies of nuclear waste repositories in rock. Canisters containing heat-emitting nuclear waste are deposited over a large rectangular area deep below the ground surface. The solution for a time-dependent heat source is obtained from the corresponding instantaneous heat source by superposition. The thermoelastic problem for the instantaneous rectangular heat source in a infinite surrounding is solved exactly. An important step is the introduction of so-called quadrantal heat sources. The solution for the rectangle is obtained from four quadrantal solutions. The solution for the quadrantal heat source depends on the three dimelasionless coordinates only. Time occurs in the scale factors only. The condition of zero normal and shear stresses at the ground surface is fulfilled by using a mirror heat source and a boundary solution. The boundary solution accounts for the residual normal stress at the ground surface. Using a Hertzian potential, a surprisingly simple solution is obtained. The final analytical solution is quite tractable considering the complexity of the initial problem. The solution may be used to test numerical models for coupled thermoelastic processes. It may also be used in more detailed numerical simulations of the process near the heat sources as boundary conditions to account for the three-dimensional global process. 相似文献