共查询到20条相似文献，搜索用时 15 毫秒
1.
借助于Biot 波动理论和弹性波的传播理论,采用复变函数和多级坐标法,对半空间饱和土中圆形衬砌结构对弹性稳态压缩波的散射问题进行求解和分析。利用一个半径很大的圆弧来逼近半空间直边界,将待解问题转化为稳态弹性压缩波在一个大圆孔和一个弹性衬砌结构的散射问题。通过引入势函数,将饱和土的Biot波动方程和衬砌的弹性波动方程解耦成Helmholtz 方程,借助复变函数级数展开便可以预先写出该组Helmholtz方程的通解。然后,通过引用复变量,把饱和土和衬砌结构中的应力、位移及孔压用设定的势函数表示出来,再利用半空间饱和土和衬砌结构的连续性条件和近似直边界的圆弧边界和衬砌内边界的边界条件求解出该组势函数的特解。最后,利用势函数的特解,得到饱和土中的位移,应力和孔压及衬砌结构的位移和应力;变换不同的参数求解衬砌结构内外边界的动应力和孔压的集中系数,通过对算例结果的分析得出一系列有益的结论。 相似文献
2.
由于地裂缝研究及地表变形监测技术（例如GPS,InSAR等）的快速发展,抽取地下水引起的地层水平位移受到关注。传统区域地面沉降模型虽然求解快速但不能模拟水平位移;比奥模型虽然能够模拟土体的三维变形,但模型求解的计算量较大,较少应用于大尺度的区域地面沉降数值模拟。为解决以上问题,推导了解耦三维地面沉降数学模型,模型推导过程显示：比奥模型假设法向总应力和不变,则可简化为解耦三维地面沉降模型;解耦三维地面沉降模型假设土体仅有垂向一维变形,则可简化为传统区域地面沉降模型。同时通过数值试验验证了解耦三维地面沉降模型可以作为比奥模型的替代模型和传统区域地面沉降模型的改进模型,用来模拟抽取地下水引起的三维区域地面沉降。 相似文献
3.
Seismically induced landslide displacements: a predictive model 总被引：27，自引：0，他引：27
Newmark's model for predicting earthquake-induced landslide displacements provides a simple way to predict the coseismic displacements affecting a sliding mass subject to earthquake loading. In this model, seismic slope stability is measured in terms of critical acceleration, which depends on the mechanical soil properties, pore-pressure distribution, and slope geometry. The triggering seismic forces are investigated in terms of energy radiation from the source, propagation, and site effects, based on 190 accelerometric recordings from 17 Italian earthquakes with magnitudes between 4.5 and 6.8. The method is based on the calibration of relations having the general form of an attenuation law that relates the energy of the seismic forces to the dynamic shear resistances of the sliding mass to propagate the expected landslide displacements as an inverse function of the distance from the fault rupture; the amount of displacement computed through these relations provides a criterion to predict the occurrence of slope failures. Finally, maps showing, in a deterministic and a probabilistic way, the potential of seismically induced landslide displacements are displayed as a tool to provide seismic landslide scenarios and earthquake-induced landslide hazard maps, respectively. 相似文献
4.
用流固耦合方法研究油藏压裂后应力应变和孔渗特性变化 总被引：10，自引：1，他引：10
油藏压裂后将引起地应力场发生变化，使岩石变形，导致孔隙度和渗透率变化，进而影响产量，为研究这一问题，作者建立了油藏压裂后流－固耦合渗流模型，考虑了以下因素：油藏岩石变形，地应力，孔隙度和渗透率变化，人工裂缝，流体渗流与岩石应变耦合，储藏渗流与裂缝渗流耦合，非达西效应等。较详细地给出了耦合方程及推导过程，控制方程包括的未知变量有压力，饱和度及位移，11个变量，和11个方程，用有限差分方法将流体渗流和岩石应变方程离散成主对角占优的七对角矩阵，可在修改已有三维二相渗流和三维固体力学程序的基础上，采用隐式迭代方法求解，示例分析表明，用此模型可以研究储层应力变变，孔隙度和渗透率随时间和空间变化规律，为开发方案制定，整体压裂设计，压后生产管理等方面提供定量分析技术。 相似文献
5.
在黏性土的各种流变现象的数学模拟研究中,不排水蠕变孔压方程几乎是空白。基于临界状态土力学理论,采用与时间相关的移动状态边界面法,给出了适用于正常固结黏性土的不依赖状态边界面具体形态的不排水蠕变孔压公式。正常固结黏性土的不排水蠕变孔压可以看作是体积蠕变势和剪应力水平增大造成的剪缩这两种作用的结果,前者与参数 有关（ 为次压缩指数, 为压缩指数）,后者则与状态边界面的具体形态有关。在此基础上进一步给出了可方便用于试验数据分析的双对数和单对数形式的两个公式。以修正剑桥模型椭圆形状态边界面为例,分析了双对数和单对数坐标系下蠕变孔压曲线的斜率m和m′与土的流变参数 的关系。采用提出的方法,很好地预测了Walkers给出的Leda clay黏土的蠕变孔压系数,并基于以上两种作用解释了Leda clay黏土的蠕变孔压形成的机制。 相似文献
6.
土体水平位移对邻近既有桩基承载性状影响分析 总被引：1，自引：0，他引：1
城市建设中经常会遇到由于堆载或基坑开挖所引起的土体水平位移现象,土体水平位移的作用会使邻近建筑物的桩基础产生附加内力或变形,并可能导致邻近桩基的破坏而发生工程事故。针对此类问题,基于Winkler地基模型以及桩-土变形协调条件,建立单桩水平位移控制方程,根据内力与位移的微分关系,采用两阶段方法进行求解。结合典型的工程事故,通过参数分析,研究土体水平位移对邻近桩基承载性状的影响程度。分析表明,基坑工程围护墙体的稳定和开挖深度对邻近桩基的安全有着重要影响,并提出了近期发生在上海的某小高层楼房整体倒覆事故的一种可能原因。 相似文献
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8.
在开挖、降雨或地震等外部因素作用下,边坡土体很容易进入局部或瞬态大变形乃至失稳滑动,使抗滑桩产生附加位移及弯矩。基于两阶段分析方法,采用Winkler模型模拟抗滑单桩与土之间的相互作用,建立单桩水平位移控制方程组,根据内力与位移的连续条件得到考虑不同土体侧移模式下求解桩身响应的矩阵解析表达式,并采用现场监测数据及Poulos弹性理论进行验证,证明该方法是合理可行的,并通过参数分析土体侧移对抗滑桩水平承载性状的影响程度。分析结果表明,土体侧移模式包括最大侧移值、分布形状及重心、侧移势等,对抗滑桩的挠度和弯矩均有显著影响,在工程设计中应予以充分重视。 相似文献
9.
Thermal anomalies in tectonically active areas are often attributed to sub-seafloor fluid circulation and faulting mechanisms, particularly in subduction zones where the largest thrust earthquakes occur. Postseismic fluid flow is enabled by the poroelastic response of the fault system to the earthquake's strain field, as well as by the rupturing of permeability barriers in the vicinity of the fault zone. We investigated the relative importance of these mechanisms on postseismic pore-pressure diffusion and advective heat transport in the subduction zone setting. A two-dimensional numerical fluid flow and heat transport model was developed for the Costa Rica subduction zone offshore of the Nicoya Peninsula. The flow and transport model was coupled with an earthquake strain model to quantify the effects of coseismic strain and permeability enhancement on fluid pressures and temperatures within the Costa Rica margin. Coseismic changes in pore pressure and postseismic pore-pressure diffusion were found to be sensitive to the compressibility of the porous medium, and patterns of pore-pressure recovery were more complex than that predicted by theoretical faulting models. Coseismic contraction and extension of the crust produced high fluid pressures close to the fault, while the inflow of fluid from depth increased fluid pressures several years following the simulated fault slip. Crustal deformation alone was not observed to perturb the temperature field. Laterally extensive permeability increases of two orders of magnitude along the décollement were required to produce small changes in heat flow. Local permeability changes in the upper slope region of least five orders of magnitude were necessary to noticeably affect heat flow. The results of the numerical simulations may help to refine conceptual faulting models and provide guidance for locating long-term hydrologic monitoring sites at Costa Rica and other subduction zones. 相似文献
10.
《Journal of Structural Geology》1999,21(8-9):959-967
Structural geologists routinely undertake geological analyses, particularly studies of faulting, by assuming that applied stresses are the controlling parameters. An alternative view is the assumption that material velocities, incremental displacements, or total displacements are imposed on the system, with stresses then part of the material response to these imposed boundary conditions. In our view, taking velocities and displacements as independent variables in deformation and stresses as dependent variables requires fewer assumptions and is more consistent with the observed geology. 相似文献
11.
A numerical procedure is described for the analysis of the vertical deformation and the stress distribution of the strip footings
on layered soil media. Three layers of soil with different stiffness are considered with the middle soil layer the thinnest
and most stiff layer. The soil media is discretized and using the theory of elasticity, the governing differential equations
are obtained in terms of vertical and horizontal displacements. These equations along with appropriate boundary and continuity
conditions are solved by using the finite difference method. The vertical and horizontal displacements, strains and stresses
are found at various nodes in the soil media. Parametric studies are carried out to study the effect of the placement depth
of the middle soil layer, the relative ratios of the moduli of deformation of the soil layers on the vertical displacement
of the footing and the vertical stress distribution. These studies reveal that the middle thin but very stiff layer acts like
a plate and redistributes the stresses on the lower soft soil layer uniformly. The displacement on the top and bottom of the
middle soil layer is almost the same showing that the compression of the middle layer is negligible as it is very stiff. 相似文献
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13.
水平简谐荷载作用下层状饱和土体动力响应 总被引：1，自引：0，他引：1
根据Biot波动理论,采用传递、反射矩阵（TRM）方法研究了水平简谐荷载作用下层状饱和土动力响应问题。由Helmholtz矢量分解求出基本解,再利用TRM法推导了层状饱和土动力响应,并由数值Hankel逆变换得到层状土地基位移、应力及孔压在空间域内的解。利用计算结果与已有结果相比较,二者相吻合,验证了算法的正确性。算例分析表明,水平简谐荷载作用在有软弱夹层的层状土体中比均质土中具有更显著的动力响应,尤其是软夹层上下有硬土层时,会引起软弱夹层土体孔隙水压升高、位移幅值增大、土体波动性增强;而荷载作用硬夹层及夹层上下有软土层时,情况则相反。 相似文献
14.
The full-scale mine-by (MB) test conducted in 2008 in the Mont Terri underground rock laboratory (Switzerland) investigated the deformation and the coupled hydro-mechanical behavior of the Opalinus Clay in response to tunnel excavations. The Opalinus Clay is currently under investigation in Switzerland as a potential host rock for geologic disposal of high-level radioactive waste. To further improve the understanding and modeling of the coupled processes and their impact on the performance of a geologic repository in Opalinus Clay, a newly developed two-part Hooke’s model (TPHM) was implemented into a geomechanical simulator. A three-dimensional simulation model based on the TPHM was then developed to predict the deformation and pore pressure responses in the near field of the MB Niche 2 test at the Mont Terri Site. The usefulness and validity of the TPHM are demonstrated by the consistency between simulation results and field observations. Simulation results show that the pore pressure disturbance becomes visible at about 11 m ahead of the mine-by excavation advancing face (along the longitudinal direction of the MB Niche). The results also demonstrate that there exists a good correlation between the excavation damage zone (EDZ) and the pore-pressure evolution, which may have important practical implications for monitoring EDZ evolution with pore-pressure sensors. The simulation results, which are sensitive to the constitutive relationships used in the model, capture both the observed displacements and the size of the damage zone, whereas the approach based on the conventional Hooke’s law underestimates both. The comparison between simulated and observed results also indicates that laboratory-measured mechanical properties can be used to accurately predict field-scale mechanical deformations, as long as valid constitutive relationships are employed. 相似文献
15.
The study presents semi-analytical solutions of two-dimensional plane strain consolidation problem in unsaturated soils incorporating the lateral semipermeable drainage boundary by adopting Fourier sine series and Laplace transform. The two-dimensional plane strain consolidation equations in the form of two-order partial differential equations with three variables are firstly converted to two-order partial differential equations with two variables, which are similar to those of one-dimensional consolidation problem. The four-order ordinary differential equations about excess pore-air and excess pore-water pressures are got by applying Laplace transform and the substitution method. Then, the solutions of excess pore pressures and settlement are achieved in the Laplace transform domain. Afterwards, on the basis of Crump's method, the inverse Laplace transform is conducted to obtain the analytical solutions in time domain. The comparison is conducted to verify the exactness of the obtained solutions, and the two-dimensional plane strain consolidation property with the lateral semipermeable drainage boundary is illustrated and discussed. Parametric studies are demonstrated for the excess pore pressures and normalized settlement with the change of the boundary parameters, air-water and lateral-vertical permeability coefficients, and the distance and depth. It can be found that the lateral semipermeable drainage boundary impedes the consolidation rate obviously, and when different investigated parameters are adopted, the consolidation property is similar to each other under the later permeable and semipermeable drainage boundary conditions. 相似文献
16.
Certain rock properties that depend on intergranular fracture and frictional sliding appear to be independent of rock type. This relationship is true for the rock-on-rock frictional sliding coefficient. The generalization has been widely applied to geomechanical modelling of upper crustal strength. Porous sandstones can be relatively weak and poorly cohesive, hence susceptible to deformation involving grain fragmentation and pore collapse. The critical state theory is commonly applied to describe such behaviour. Previous work showed that the yield surface is substantially independent of rock type when mean stress and differential stress are normalized by the grain crushing pressure, implying that the critical state line is rock type-independent and equivalent to the frictional sliding criterion. We test these hypotheses using previously published data for a range of porous sandstones augmented by new experimental results on Hollington and Berea sandstones deformed to large strains to define the critical state line over a wide range of pressures for each rock type. Results confirm the rock type-independence of the critical state line and show that it is nearly equivalent to frictional sliding. These relationships point to a simple procedure for estimating approximately the mechanical properties of sandstones based only on petrographic characteristics. 相似文献
17.
Calculation of finite incremental deformations in ductile geological materials and structural models
Although the total continuous deformation of rocks can be the net result of several tectonic pulses (finite increments), it will be assumed that there are only two. It is further assumed that differential displacements are unknown, but that two generations of rotation gauges are available in a rock body, together with two respective generations of strain gauges. A mathematical procedure is outlined herein for calculating the first or second deformation increment in natural structures and putty models with elliptical markers. To illustrate their practical value, one set of equations is used to determine the pattern of large incremental strain associated with the lateral spreading of a mature model diapir. This model pattern may help to interpret igneous fabric patterns of undeformed granitoid plutons. 相似文献
18.
In this study, a general mathematical model was developed for land displacements that occur as a result of the pressure decline in confined and/or phreatic aquifers. Two equations were developed by employing the equilibrium (force balance) equation and the flow equation in a deforming aquifer system. Both of these equations were integrated over the thickness of the aquifer system once a regional model had been formulated. The change of the body force in saturated and unsaturated zones of aquifers was considered in the derivation of the equilibrium equation. It was assumed that no external loading or force acting on the aquifer system was present. Two coupled equations expressed in terms of the averaged dilation and pressure were then obtained. The pumping data sets given in the papers of Bear and Corapcioglu1,2 in 1981 and 1983 were analysed. Drawdown and displacements in a confined aquifer were demonstrated to be identical to those estimated by Bear and Corapcioglu.1 In the case of a phreatic aquifer, however, the results estimated by the present approach were slightly different from those obtained by Corapcioglu and Bear.2 The discrepancies in the results are possibly due to errors in the equations presented by Corapcioglu and Bear.2 The present approach was able to avoid several assumptions and complex procedures used by Bear and Corapcioglu,1,2 especially in the case of a phreatic aquifer, by taking into account the change in the body force. 相似文献
19.
Evaluation of slope stability by finite element method using observed displacement of landslide 总被引：1，自引：0，他引：1
To monitor land deformation in detail, we ran a large-scale field test in which an artificial landslide was induced by the application of a load to a natural slope. The measured landslide displacement was reproduced numerically through the use of finite element model analysis with a two-dimensional elasto-viscoplastic model. The analysis suggested that the strength of the sliding surface decreased as the landslide mass moved. We propose a simple method for estimating safety factors. The method involves back-calculation of shear strength parameters through reproduction of observed landslide displacements and calculating the ratio of driving force to resisting force acting on the sliding surface as modeled by joint elements. This ratio, the “stability index”, shows the same trend as safety factors calculated by a two-dimensional limit equilibrium method and a shear strength reduction method that use back-calculated shear strength parameters estimated from the limit equilibrium state. The results indicate that the stability index may be applicable to the assessment of slope stability. 相似文献
20.
提出了利用Lagrangian乘子网格来模拟顺层边坡层间结构面接触行为的方法,并推导了考虑接触约束的Lagrangian控制方程的弱形式及其有限元离散方程。Lagrangian乘子网格容许界面出现较大的切向滑移,较好地解决了接触问题中的高度非线性和响应不平滑性。应用以上方法对沪－蓉－西高速公路某顺层岩质高边坡进行了数值模拟分析,得到了临滑状态下的位移场、应力应变场、结构面上的接触状态、层间滑移距离以及接触摩擦力的分布规律。数值模拟结果表明,顺层岩质边坡的破坏是一个渐进的过程,由最初的层间错动,发展为顺层蠕滑,最后在坡底剪出而破坏;其破坏型式由最初的顺层滑动逐步向溃曲破坏转化。 相似文献