基于应变软化指标的岩石非线性蠕变模型

研究并提出一种以应变软化指标为基础的岩石非线性蠕变模型。首先,基于岩石三轴压缩试验结果,分析提出一种峰后应变软化指标R1来描述岩石峰后力学参数软化与塑性变形间的关系。接着,通过分析加速蠕变阶段与峰后段的联系,建立加速蠕变应变软化指标R2,并以此为基础构建非线性黏塑性体。然后,将其与Hook体和Kelvin元件串联,组建非线性蠕变模型,并将模型嵌入ABAQUS有限元程序。最后,针对砂岩和泥岩三轴蠕变试验建立数值模型,模拟曲线与试验曲线吻合良好,说明所建模型适用于硬岩/软岩加速蠕变现象的模拟。其中,参数 对加速蠕变曲线形态起调节作用,显示模型模拟脆性?延性流变破坏的特点。另外,模型参数均可由常规压缩破坏试验以及蠕变试验确定,易于获取。     

A frozen soil creep model with strength attenuation

A frozen soil creep model with shear strength attenuation was proposed based on a soft soil creep model. K ₀ compression and triaxial shear tests were conducted to obtain the model parameters. With triaxial creep tests, the performance of soft soil creep model was verified at first. It was shown that different creep stages can only be described separately, which was due to a constant failure line used in the model. After incorporating strength attenuation into the original model, relative position between stress point and failure line is time dependent, and the progressive development of creep strain from primary to tertiary stage can be captured reasonably.     

A Generalized Plasticity-Based Model for Sandstone Considering Time-Dependent Behavior and Wetting Deterioration

Based on the concept of generalized plasticity, this study proposes a constitutive model to describe the time-dependent behavior and wetting deterioration of sandstone. The proposed model (1) exhibits nonlinear elasticity under hydrostatic and shear loading, (2) follows the associated flow rule for viscoplastic deformation, (3) adopts a creep modulus that varies with the stress ratio, (4) considers the primary and secondary creep behaviors of rock, and (5) considers the effect of wetting deterioration. This model requires 13 material parameters, comprising 3 for elasticity, 7 for plasticity, and 3 for creep. All parameters can be determined easily by following the suggested procedures. The proposed model is first validated by comparison with triaxial tests of sandstone under different hydrostatic stress and cyclic loading conditions. In addition, the model is versatile in simulating time-dependent behavior through a series of multistage creep tests. Finally, to consider the effects of wetting deterioration, triaxial and creep tests under dry and water-saturated conditions are simulated. Comparison of the simulated and experimental data shows that the proposed model can predict the behavior of sandstone in dry and saturated conditions.     

动水压力型滑坡对库水位升降作用的响应以三峡库区树坪滑坡为例

三峡库区涉水型滑坡众多,库水位周期性涨落引起库岸滑坡岩土体物理性质的改变,还使得滑体内渗流场发生变化,进而影响滑坡体稳定性。为研究库水位升降作用对涉水边坡稳定性的影响,基于三峡库区重大涉水滑坡分类,对动水压力型滑坡进行分析。以三峡库区秭归县树坪滑坡为例,利用Geo-Studio软件的SEEP模块及SLOPE分别对滑坡渗流场与稳定性进行计算,分析不同滑体渗透系数及不同库水位升降速率对动水压力型滑坡的影响规律。结果表明:对于动水压力型滑坡,库水位上升过程中,地下水位线有下凹趋势,稳定性系数有所增大; 库水位下降过程中,地下水位线有上凸现象,且稳定性系数明显减小; 库水位升降速率越大,滑体渗透系数越小,库水位变动对滑坡渗流及稳定性影响越明显。     

Time-Dependent Behavior of Diabase and a Nonlinear Creep Model

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.     

深层膏质泥岩蠕变特性及非线性蠕变模型研究

泥岩作为油气储层常见复杂介质,在深部高温、高压环境下蠕变力学特性异常复杂,是引起套管损伤破坏的重要因素。以深部油气藏工程含膏质泥岩为研究对象,首先开展了高温为130 ℃、高围压为30 MPa、不同偏应力水平下多试样、单级加载三轴蠕变试验。该泥岩呈显著的时效力学特性,蠕变应力阀值较低,应力和持时对蠕变特性存在显著影响,低应力、长时间作用下泥岩亦呈现明显的稳态蠕变和加速蠕变破坏,且加速蠕变起始时间随应力增加呈指数降低关系。其次探讨了泥岩加速蠕变和强度损伤特性,提出了蠕变损伤起始时间概念,认为泥岩内部蠕变损伤变量可用指数函数予以描述。最后,基于蠕变损伤变量和起始时间,构建考虑泥岩加速蠕变的非线性改进Burgers蠕变模型,对蠕变参数开展辨识和分析,所选模型可准确地对深层膏质泥岩蠕变特性进行描述。研究成果旨在为深部泥岩油气藏套管工程长期稳定分析及安全评价提供可靠的依据。     

Creep degradation mechanism by water-rock interaction in the red-layer soft rock

Bank slope stability has become a great concern, while the impoundment of Three Gorges reservoir. The bank slope composed of red-layer soft rock has exhibited distinct deformation and failure. Therefore, a typical red-layer soft rock around Three Gorges reservoir area was selected to demonstrate the process of cyclic changes at the reservoir level and immersion-air-dry cyclic action of water-rock inside hydro-fluctuation belt. To meet the objective of this study, a series of creep tests were conducted on the rock specimens at different water-rock interaction stages. The following points were noticed based on the laboratory results: (1) the creep fracture strength and long-term strength of red-layer soft rock degraded significantly during the process of water-rock interaction. For the first three water-rock interaction circulations, the strength of red-layer soft rock degraded quickly and then gradually became stable. (2) During the creep test, the lateral expansion of red-layer soft rock increased significantly regarding to the number of cycles. (3) The creep curve includes three typical stages at failure stress level—primary (damped) stage, secondary (steady-state) stage, and tertiary (nonlinear accelerated) stage. As the number of cycles increased, the percentage of secondary stage diminished gradually. However, the tertiary stage showed a gradual increment, since the plasticity of the specimens was strengthened by water-rock interaction. (4) The shear failure characteristics of the specimens became highly considerable during the process of water-rock interaction, and there have been a gradual increment of shear rupture zone. (5) The SEM results showed that the specimen microstructure changed its state from dense to loose and porous. The findings of this research provide a good basis for long-term stability analysis of bank slope.     

重塑黄土三轴蠕变特性研究及模型分析

采用SR-6型三轴蠕变仪对陕西省泾阳县某边坡重塑黄土进行了一系列室内三轴固结排水蠕变试验,着重研究了90%压实度下重塑黄土在不同含水率与围压下的蠕变特性,并依据试验资料建立了两种经验蠕变模型。结果表明：该地区黄土具有明显的流变特性,总体呈非线性衰减蠕变;围压与含水率均对蠕变特性有着显著的影响,土样在小围压、大含水率的条件下蠕变现象明显且蠕应变较大;同等荷载增量引起的应变增量的突然放大,预示着该级荷载已经超过土体的屈服应力值,土样产生黏塑性变形;两种模型的建立均能恰当地描述土体在20% ~ 65%偏应力水平下的蠕变特性,且模型简单,参数易得。     

Nonstationary flow surface theory for modeling the viscoplastic behaviors of soils

This paper presents a three-dimensional elastic viscoplastic model that can describe the time-dependent behaviors of soft clays. The constitutive model is formulated based on the nonstationary flow surface theory and incorporates new developments, including (i) an improved definition of the nonstationary flow surface that is capable of capturing the stress–strain behaviors under different loading paths, (ii) a unique stress–strain—viscoplastic-strain-rate equation that is able to explicitly describe the nonstationary flow surface, and (iii) a final stable state concept that identifies the final equilibrium state at the end of creep and stress relaxation, which is also used to simplify the loading criteria. The consistency condition is validated for the proposed model, and the viscoplastic multipliers are calculated by solving the consistency equations. The model performance is investigated and validated via simulation of both oedometer and triaxial tests. The numerical results demonstrate that the proposed model is able to reproduce the main viscoplastic behaviors of soils, including creep, undrained creep rupture, stress relaxation, rate effect and accumulated effect.     

Interaction between risk perception and sense of place in disaster-prone mountain areas: a case study in China’s Three Gorges Reservoir Area

Residents of rural mountain settlements are constantly threatened by disasters such as landslides. Their risk perception directly or indirectly affects their behavioral choices. Introducing the concept of sense of place, this paper details its interactions with the risk perception of mountain hazards. Rural residents (n = 348) in landslide-threatened areas of the Three Gorges Reservoir Area were questioned about their sense of place and risk perception. Partial least squares structural equation modeling was used to explore the interactions between various dimensions, and hypothetical tests were conducted. We found that dimensions of risk perception, such as Possibility and Unknown, had direct, negative impacts on the dimensions of sense of place, such as Society bond and Place dependence. Possibility had an indirect, yet more significant effect on Place attachment and Place identity, acting through Society bond. Rural residents often overestimate disaster risks due to fatalism, and a fear of the unknown stemming from low scientific literacy, which reduces their Place dependence. A complex interaction between sense of place and risk perception was observed. The findings provide a scientific basis for the government to formulate integrated policies regarding settlement relocation, disaster prevention and mitigation, and sustainable development.     

一种基于修正西原模型的冻土蠕变本构关系

冻土在高应力水平下通常会表现出加速蠕变特性。经典西原（Nishihara）模型可以反映衰减蠕变和稳态蠕变,但不适用于描述加速蠕变。通过对Nishihara模型中黏性元件进行修正,将黏弹性元件中的定常的黏滞系数修正为时间的函数,并在黏塑性元件中采用非定常、非牛顿黏性元件,得到的蠕变柔量可以考虑应力水平和时间的影响,使其能够反映其加速蠕变的过程。用提出的模型分别对一维和三维应力、不同应力水平下的冻土蠕变试验数据进行了拟合,拟合结果能够反映冻土从衰减蠕变和稳定蠕变状态进入加速蠕变的过程,说明了该模型对于描述冻土在不同应力下不同蠕变状态的适用性。     

软弱结构面剪切蠕变特性与含水率关系研究

软弱结构面往往控制着岩体的蠕变变形,含水率又是影响软弱结构面蠕变特性的重要因素,通过开展不同含水率条件下砂岩软弱结构面剪切蠕变试验,得到了不同含水率条件下剪切蠕变曲线,并考虑加载历史对试验曲线进行了修正。在此基础上,通过模型辨识选取Burgers模型描述砂岩软弱结构面蠕变的黏弹性特性。分析了含水率对砂岩软弱结构面剪切蠕变特性的影响,并对含水率影响软弱结构面剪切蠕变特性的机制进行了探讨。     

白垩系饱和冻结砂岩蠕变试验及本构模型研究

冻结法作为穿越富水软岩地层的重要施工方法,冻结壁的长期稳定性对于工程安全有着至关重要的作用。蠕变破坏是诱发冻结壁变形的显著特点之一,对研究冻结岩石蠕变的特性有重要的理论和工程意义。以白垩系饱和冻结砂岩为研究对象,开展–10 ℃低温冻结条件下,不同围压（0、2、4、6 MPa）的三轴蠕变力学试验。分析了饱和冻结砂岩蠕变变形,根据现有黏弹塑性模型开展了参数辨识并探究蠕变参数的变化规律,基于此提出考虑温度及损伤效应的蠕变本构模型。研究结果表明：低温冻结削弱蠕变过程中颗粒间的相互胶结力,使其蠕变特征明显;而围压却在一定程度上抑制饱和冻结砂岩内部损伤的发展,导致稳态蠕变速率随围压的升高出现明显的下降趋势。随围压的增加饱和冻结砂岩的蠕变破坏形态呈现出从剪切破坏到张拉破坏再到局部塑形硬化破坏的变化过程。在黏弹塑性模型的基础上,总结蠕变参数 、 和 随荷载的增加呈现先增后减的趋势,拐点为屈服应力;而参数 在大于屈服应力后出现并呈现先增后减的趋势。结合冻结岩石蠕变数据对定义的应力-低温耦合蠕变本构模型进行了参数辨识,并将该模型的计算结果与蠕变试验数据对比,验证所建立非线性模型的正确性与合理性。     

Numerical simulation of Qiaotou Landslide deformation caused by drawdown of the Three Gorges Reservoir,China

Landslides located beside reservoirs tend to be unstable or are characterized by large deformation during the drawdown process. This has been accepted by many experts. In this paper, we use Qiaotou Landslide, which is located beside the Three Gorges Reservoir (TGR), as a typical case study to investigate and predict the deformation mechanism during the drawdown process of TGR in detail. According to field investigation, the landslide mass is mainly composed of thick, loose silt and clay mixed with fragments of rock. Bedrock is mainly composed of silty sandstone. Field and laboratory tests indicate that the landslide mass has a high permeability coefficient. If the water level declines fast, intense seepage force may result. Based on these data, we establish a three-dimensional geological model of Qiaotou Landslide by FLAC^3D and perform a numerical simulation using the saturated–unsaturated fluid–solid coupling theory. For the simulation, we assume that the drawdown from 175 to 145 m takes place with a speed of 25 cm/day, which is based on the extreme water level regulation program of TGR. The simulation shows that this causes a significant deformation in the landslide mass and that the maximum displacement within the landslide is 24.2 cm. During the drawdown process, the maximum displacement zone is shifting from the upper part of the landslide where bedrock surface is steeper and thickness of loose deposits is less to the middle part of the landslide where bedrock surface is less steep and thickness of loose deposits is higher. The deformation mechanism indicates that in the early stage of the drawdown the deformation of the landslide mass is mainly caused by seepage and in the later stage mainly by consolidation.     

冻结红砂岩非线性蠕变模型的研究

对-10℃的冻结红砂岩进行了单轴蠕变试验,应力水平依次为0.36、0.45和0.54,发现当应力水平为0.36和0.45时,红砂岩蠕变为稳定蠕变,当应力水平为0.54时,蠕变为不稳定蠕变。应力水平越高,蠕变达到稳定的时间越长。对蠕变曲线的导函数进行分析,发现红砂岩不稳定蠕变的加速阶段门槛值为13 h。通过对实测数据的拟合,得到了3个应力水平下红砂岩蠕变的经验方程。由开尔文体、改进麦克斯韦尔体和改进陈沅江体串联组成了理论模型,并得到了模型参数,理论曲线与实测曲线吻合较好,能够较好地反映冻结红砂岩的蠕变规律。试验结果为采用冻结法施工的矿井评价冻结壁的稳定性提供了相应的参考。     

泥质砂岩蠕变特性与锚固控制效应试验研究

通过泥质砂岩单轴压缩蠕变试验,揭示岩石蠕变变形与破坏的特点,反映了不同应力路径下的岩石蠕变速率与发展过程,建立了泥质砂岩的非线性蠕变模型,并通过对试件施加侧向刚性约束和锚固约束,以反映地下工程围岩在平面应变状态和支护状态下的蠕变特性。研究结果表明,锚固约束可以显著提高岩石发生稳定蠕变的应力阀值,减缓蠕变速率。根据改进的蠕变方程进行试验数据的拟合,确定了改进的西原模型蠕变方程中的各物理量。与单轴蠕变试验结果对比表明,该模型的计算结果与试验数据吻合较好,说明改进的西原模型可较好地反映岩石加锚后的蠕变特征。研究结果对深部地下工程围岩的变形与稳定控制研究具有重要的指导意义。     

暴雨与库水位变化条件下晒盐坝滑坡渗流和稳定性数值模拟

为研究暴雨和库水位变化对三峡库区边坡变形和稳定的影响,选取重庆云阳县晒盐坝滑坡为研究对象.运用饱和非饱和渗流理论,采用有限元法,模拟该滑坡在暴雨和库水位升降中渗流场的变化,计算其稳定性系数.计算表明,库水位上升和下降中,该滑坡体的稳定性均先减小后增大.     

膨胀土卸荷蠕变特性及其非线性蠕变模型

鉴于膨胀土滑坡往往表现为长期性、渐进性等与时间相关的特性,利用GDS应力路径三轴仪对膨胀土进行了三轴卸荷蠕变试验。试验结果表明：当偏应力较小时,膨胀土的蠕变曲线仅出现瞬时变形和衰减蠕变;当偏应力达到一定值时,其蠕变曲线也呈现衰减蠕变、稳态蠕变和加速蠕变3个阶段,但其加速蠕变阶段的特征与一般岩土体不同,其蠕变速度近乎常数。膨胀土的应力?应变等时曲线显示,膨胀土卸荷蠕变具有非线性特征,且其非线性程度与蠕变时间和应力水平相关,蠕变时间越长、应力水平越高,其非线性程度越高。基于非线性流变力学理论,提出了一种非线性四元件蠕变模型,将标准线性体与一个非线性黏壶串联,该模型可描述等围压三轴压缩应力状态下膨胀土轴向应变随时间的演变规律。根据膨胀土卸荷蠕变试验结果,采用曲线拟合法对三维非线性模型的参数进行反演识别。拟合曲线和试验曲线对比显示,两者吻合良好,说明该模型可以很好地描述膨胀土的蠕变特性。此外,基于该蠕变模型获取了膨胀土的临界破坏应力,其与常规剪切破坏应力的比值随着固结压力的减小而减小,表明越接近坡面的土层越容易发生蠕变破坏。     

高渗透压脆性岩石蠕变宏−细观力学模型研究

高渗透压对深部地下工程脆性岩石蠕变力学特性有着重要影响。然而,能够解释高渗透压作用脆性岩石完整减速、稳态及加速三级蠕变过程中,细观裂纹扩展与宏观变形关系的宏细观力学模型研究很少。基于考虑含有初始裂纹与新生成翼型裂纹影响的裂纹尖端应力强度模型,引入渗透水压与初始裂纹及新生成翼型裂纹之间的力学关系,建立了考虑渗透水压作用的裂纹尖端应力强度模型;然后结合亚临界裂纹扩展法则,与裂纹及应变损伤关系模型,推出了考虑渗透水压影响的脆性岩石蠕变裂纹扩展与宏观变形关系的宏细观力学模型。当施加轴向应力小于岩石裂纹启裂应力时,岩石近似表现为线弹性变形;当施加轴向应力大于裂纹启裂应力且小于岩石峰值强度,岩石表现为塑性蠕变变形。研究了不同渗透压作用下,分级轴向应力加载岩石蠕变应变时间演化曲线,并通过试验结果验证了模型的合理性。分别讨论了恒定渗透压与分级渗透压,对脆性岩石蠕变过程中裂纹长度、裂纹扩展速率、轴向应变及轴向应变率的影响。该模型为高渗透压深部地下工程围岩稳定性评价提供了重要理论依据。