节理化岩体复合式滑移破坏的模型试验研究

针对节理化岩体的自身特点,提出沿岩体层面产生的应力集中以及层面与节理之间的残余完整岩桥破坏,将可能导致岩体产生复合式滑移破坏。在室内利用岩石三轴刚性伺服机,通过模型试验对岩体的层面和一组与层面正交的节理的情况进行模拟研究,分析了结构面性状和围压对复合式滑移破坏的影响,给出了在贯通性结构面（层面）倾角、非贯通性结构面的以及围压等因素共同作用下,节理化岩体发生复合式滑移破坏的条件以及破坏面特征。最后在与前人的试验资料进行对比分析的基础上得到可靠的结论,期望为在将来的实践工作中正确评估节理化岩体的破坏模式提供指导性意见。     

Microplane constitutive model for porous isotropic rocks

The paper deals with constitutive modelling of contiguous rock located between rock joints. A fully explicit kinematically constrained microplane‐type constitutive model for hardening and softening non‐linear triaxial behaviour of isotropic porous rock is developed. The microplane framework, in which the constitutive relation is expressed in terms of stress and strain vectors rather than tensors, makes it possible to model various microstructural physical mechanisms associated with oriented internal surfaces, such as cracking, slip, friction and splitting of a particular orientation. Formulation of the constitutive relation is facilitated by the fact that it is decoupled from the tensorial invariance restrictions, which are satisfied automatically. In its basic features, the present model is similar to the recently developed microplane model M4 for concrete, but there are significant improvements and modifications. They include a realistic simulation of (1) the effects of pore collapse on the volume changes during triaxial loading and on the reduction of frictional strength, (2) recovery of frictional strength during shearing, and (3) the shear‐enhanced compaction in triaxial tests, manifested by a deviation from the hydrostatic stress–strain curve. The model is calibrated by optimal fitting of extensive triaxial test data for Salem limestone, and good fits are demonstrated. Although these data do not cover the entire range of behaviour, credence in broad capabilities of the model is lend by its similarity to model M4 for concrete—an artificial rock. The model is intended for large explicit finite‐element programs. Copyright © 2002 John Wiley & Sons, Ltd.     

节理泥质粉砂岩卸荷流变试验及流变规律研究

为了解节理对泥质粉砂岩卸荷流变规律的影响,进行了同起始围压,不同应力水平下的节理泥质粉砂岩分级卸荷流变试验。首先,详细介绍了节理试样的预制方法及卸荷流变试验的过程,然后,研究了节理试样在不同应力水平作用下的轴向及侧向流变应变变化规律,得出节理倾角为0°的试样轴向及侧向流变应变随围压降低的增大趋势最陡,节理倾角为60°的试样其次,节理倾角为40°的试样最缓。同时,分析了节理对轴向及侧向流变速率变化趋势的影响,探讨了不同倾角节理试样的卸荷流变破裂机制。研究结果较为全面地掌握了节理泥质粉砂岩的卸荷流变基本规律,为进一步建立节理岩体的流变本构模型及参数辨识提供了可靠依据。     

不同节理粗糙度类岩石材料三轴压缩力学特性试验研究

粗糙度是影响节理岩体强度与变形特性的重要因素之一。首先使用3D 打印机制作模具,并浇筑形成不同粗糙度（节理粗糙度系数JRC=2、7、12、17、22）的节理岩石试样。采用GCTS高温高压动静岩石三轴试验系统,对含有不同粗糙度节理岩石试样进行了三轴压缩试验,获得了不同粗糙度节理岩石试样的三轴应力–应变曲线,分析了JRC对岩石三轴强度和变形特性的影响规律,在三轴加载过程中采用声发射测试系统,分析了不同粗糙度节理岩石试样的声发射特性。运用数字三维视频显微系统观察节理面形态,讨论了不同围压下节理岩石试样峰值强度与JRC之间的关系。研究结果表明,节理面的存在直接导致节理岩石试样强度的大幅度降低,JRC对岩石破坏裂纹的形态、数量和空间分布特征亦有很大的影响,随着JRC值的增大,岩石节理面的抗剪强度增大,岩石试样的三轴抗压强度也会增大,岩石试样由脆性破坏转变为延性破坏。     

节理化岩体复合式滑移破坏的模型试验研究

针对节理化岩体的自身特点,提出沿岩体层面产生的应力集中以及层面与节理之间的残余完整岩桥破坏,将可能导致岩体产生复合式滑移破坏。并在室内利用岩石三轴刚性伺服机,通过模型试验对岩体的层面和一组与层面正交的节理的情况进行模拟研究,分析了结构面性状和围压对复合式滑移破坏的影响,给出了在贯通性结构面(层面)倾角、非贯通性结构面以及围压等因素共同作用下,节理化岩体发生复合式滑移破坏的条件以及破坏面特征。在与前人的试验资料进行对比分析的基础上得到可靠的结论,期望为在将来的实践工作中正确评估节理化岩体的破坏模式提供指导性意见。      

含预制节理岩体卸荷条件下力学特性试验研究

节理对卸荷条件下岩体的力学性质有重要影响。通过含2条不同间距预制断续节理岩体的三轴卸荷破坏试验,研究了节理岩体在卸荷应力条件下的应力-应变特征、强度、变形特征、破坏规律及节理间距对岩体力学性质的影响。研究表明：相比于完整岩体,节理岩体卸荷破坏时从峰值强度跌落至残余强度过程中轴向应变较大,为完整岩体的3～4倍,岩体破坏时极限强度明显低于完整岩体,脆性特征不如完整岩体明显;节理岩体卸荷破坏时,变形模量有较大幅度的降低,其降低程度是同条件下完整岩体的6～7倍,节理间距越大,变形模量降低程度越大;与含预制节理岩样三轴加载试验结果相比,节理岩体卸荷条件下破坏程度更为强烈,除剪切破裂面外,沿最大主应力方向分布的不同级别的张性裂隙非常发育,预制节理的间距对岩体破坏形态影响不大。     

Rock joint modeling using a visco-plastic multilaminate model at constant normal load condition

Rock joints play an important role in the behavior of rock masses under normal and shear loading conditions. Numerical simulation of the behavior of jointed rock masses is not an easy task due to complexities involved in the problem such as joint roughness, joint shear strength, hardening and softening phenomenon and mesh dependency. In this study for modeling purposes, a visco-plastic multilaminate model considering hardening and softening effects has been employed. For providing the necessary data for numerical simulation, a series of laboratory experiments have been carried out on regular tooth-shape asperities made by gypsum, under constant normal load conditions. Shear stress–shear displacement and normal displacement–shear displacement of artificial joint specimens are simulated using the proposed numerical model at constant normal load condition (CNL). The results indicate the capability of the model for simulating rock joints behavior in both strength and deformation field. Although the numerical model has been developed for simulating the behavior of artificial joints, the concept of the method can also be used for natural rock joints.     

Composite damage constitutive model of jointed rock mass considering crack propagation length and joint friction effect

In order to study the damage constitutive model of rock mass with non-persistent joints in engineering practice, the assumption that the rock mesoscopic elements strength obeys the Weibull distribution function of random, the Drucker–Prager criterion is used as a representation method to describe the strength of the mesoscopic elements, and mesoscopic damage variable is deduced. Combined with the energy principle and the fracture damage theory, the macroscopic damage variable formula is deduced considering the crack propagation length and the friction effect of joint closure in the rock mass. Finally, based on the strain equivalent hypothesis of Lemaitre and considering the coupling of macro and micro defects, the composite damage variables are derived. A macro–meso composite damage constitutive model of rock mass with non-persistent joints is established based on the Drucker–Prager criterion. The theoretical constitutive curves of the model are in good agreement with the experimental constitutive curves of the non-persistent jointed rock masses. The considering effects of crack propagation length and joint closure friction effect are compared with those without considering the crack propagation length and joint closure friction effect, which finds that the former is superior to the latter, and the rationality and validity of the model is verified.     

Prediction of Elastic Modulus of Jointed Rock Mass Using Artificial Neural Networks

Two artificial neural network models for the prediction of elastic modulus of jointed rock mass from the elastic modulus of corresponding intact rock and joint parameters have been demonstrated in this paper. The data collected from uniaxial and triaxial compression tests on different rocks with different joint configurations and different confining pressure conditions, reported in the literature are used as input for training the networks. Important joint properties like joint frequency, joint inclination and roughness of joints are considered separately for making the network more versatile. Two different techniques of artificial neural networks namely feed forward back propagation (FFBP) and radial basis function (RBF) are used to predict the elastic modulus ratio.     

三轴压缩条件下冻融单裂隙岩样裂缝贯通机制

采用岩石力学伺服试验机,对预制单裂隙模型试样进行冻融循环后的三轴压缩试验,基于冻融循环试验对裂隙岩体的冻融损伤劣化模式进行研究,探讨经历不同冻融循环次数后的裂隙岩样在三轴压缩条件下裂缝的贯通机制。试验发现：裂隙岩体的冻融损伤劣化模式有颗粒散落模式、龟裂模式和沿预制裂隙断裂模式3种;在三轴加载条件下,冻融裂隙岩样的贯通模式呈现拉贯通、剪贯通、压贯通和混合贯通4种;贯通模式和冻融循环次数、围压的大小以及裂隙倾角有关,随着冻融循环次数的增加和围压的升高,岩样表面的破裂线越来越多,导致裂纹的贯通模式由单一贯通转换为混合贯通,在围压为2、6 MPa时,岩样的破坏模式为拉-压贯通,而围压为4 MPa时,岩样主要呈现拉贯通,裂隙倾角为30°的岩样主要贯通模式为拉贯通,裂隙倾角为60°的岩样主要贯通模式为剪贯通。     

Micromechanics approach to poroelastic behavior of a jointed rock

The formulation of macroscopic poroelastic behavior of a jointed rock is investigated within the framework of a micro–macro approach. The joints are modeled as interfaces, and their behavior is modeled by means of generalized poroelastic state equations. Starting from Hill's lemma extended for a jointed medium and extending the concept of strain concentration to relate the joint displacement jump to macroscopic strain, the overall poroelastic constitutive equations for the jointed rock are formulated. The analysis emphasizes the main differences and similarities of the resulting behavior with respect to that characterizing ordinary porous media. It is shown that, unlike ordinary porous media, conditions on the poroelastic parameters of joints are required for the macroscopic drained stiffness to entirely define the poroelastic behavior. This is achieved, for instance, if the joint network is characterized by a unique Biot coefficient. Extension of the analysis to non‐linear poroelasticity is also outlined. Finally, the theoretical formulation is applied to two particular cases of jointed rock for which explicit expressions of the overall poroelastic parameters are derived. Copyright © 2011 John Wiley & Sons, Ltd.     

SPH procedures for modeling multiple intersecting discontinuities in geomaterial

A methodology is developed in SPH framework to analyze the behavior of preexisting multiple intersecting discontinuities or joints in rock material. The procedure does not require any additional unknowns to represent discontinuities and to capture velocity jump across them. Instead, a discontinuity is represented by a set of joint particles placed along the discontinuity plane, in which relative velocity and traction vector is evaluated, obeying the Mohr–Coulomb friction law with zero tension constrain. For failure of continuous rock material, the Drucker–Prager yield criterion with tensile cracking is employed in the elastic‐plastic constitutive model. Free‐sip, no‐slip, and symmetric boundary conditions are also implemented in SPH framework for proper representation of physical system. The paper analyzes behavior of a rock sample having a discontinuity plane under uniaxial loading and compares velocity and stress with a theoretical solution derived considering effective vertical stiffness of the joint planes. The efficacy of the proposed method is successfully demonstrated by solving another two problems of jointed rock mass under uniaxial and gravitational loading conditions.Copyright © 2014 John Wiley & Sons, Ltd.     

某地下电站厂房围岩稳定性及锚固效应研究

某地下电站厂房围岩属于一种断续节理裂隙切割的节理岩体,其围岩采用了锚杆、锚索加固。作者采用三维断续节理岩体的弹性损伤本构模型、损伤演化方程及损伤岩锚柱单元支护模型分析围岩加固前后的稳定情况,结果表明,能较好地反应围岩的渐近破坏过程和锚杆（索）的加固效果。这些理论成果对设计有参考价值,并对工程实践有指导意义。     

Constitutive model for soft rocks considering structural healing and decay

The behavior of soft rock depends on the contact area between mineral particles and the tensile strength of the interparticle cementation, which are usually referred to as structures. We investigated the effects of structural decay and healing on the behavior of soft rock through monotonic and slide-hold-slide triaxial tests under the drained condition with constant effective confining pressure. We developed a constitutive model for soft rocks incorporating structural healing and decay in the context of the extended critical state theory. The model was validated via laboratory tests and captured the behavior of soft rock, including the healing and decay phenomena.     

基于离散裂隙网络模型的节理岩体渗透张量及特性分析

节理岩体几何结构非常复杂,研究其渗流特性对于指导含水岩层稳定性分析具有重要价值。应用离散裂隙网络模型DFN方法,基于VC++6.0软件平台,建立了平面渗流分析方法,分析了节理岩体不同几何分布情况下的渗透率张量特征,通过定义渗流定向性系数对岩体渗流的定向性特征进行了定量分析。结果表明：单组节理岩体渗流具有明显的各向异性特征,渗流定向性随着节理角度变化显著;节理随着节理贯通性增加,节理渗透率呈现对数增加趋势;两组节理情况下,各向异性特征随着节理组间夹角变化;两组节理岩体渗流特征研究中,正交分布下,岩体仍存在各向异性,但渗流定向性系数较低;当节理倾角服从正态分布时,随着节理倾角标准差增大,渗透率增加;两组节理夹角不同时,节理渗透主方向倾角随着夹角增大而相应增大,基本沿两组节理夹角方向的角平分线方向。     

综合考虑宏微观复合损伤的节理岩体本构模型

针对目前节理岩体损伤本构模型中仅考虑节理等宏观缺陷造成的损伤,而没有考虑岩块中微裂纹等微观损伤的不足,提出了综合考虑宏微观损伤的节理岩体本构模型。其中微观损伤模型采用基于应变强度理论和岩石微元强度服从Weibull分布假定的统计损伤模型,把其应用于被节理切割而成的岩块。而宏观损伤模型主要基于连续介质力学原理,把节理对岩体性质的劣化作为损伤来考虑。在考虑节理传压及传剪系数的基础上,提出了综合考虑宏微观复合损伤的节理岩体本构模型。算例表明宏观节理的存在大大削弱了岩体的强度,降低了其刚度,增大了其柔性。所提出的模型能够较好地反映宏微观两类损伤对岩体应力-应变关系及强度的影响,较为合理。      

Strength and dilatancy of jointed rocks with granular fill

It is well recognised that the strength of rock masses depends upon the strain history, extent of discontinuities, orientation of plane of weakness, condition of joints, fill material in closely packed joints and extent of confinement. Several solutions are available for strength of jointed rock mass with a set of discontinuities. There is a great multiplicity in the proposed relationships for the strength of jointed rocks. In the present study, the author conceives the effect of increasing stresses to induce permanent strains. This permanent strain appears as micro crack, macro crack and fracture. A fully developed network of permanent deformations forms joint. The joint may contain deposits of hydraulic and hydrothermal origin commonly known as gouge. The joint factor numerically captures varied engineering possibilities of joints in a rock mass. The joints grow as an effect of loading. The growth of the joints is progressive in nature. It increases the joint factor, which modifies the failure stresses. The dilatancy explains the progressive failure of granular media. Hence, a mutual relationship conjoins effectively the strength of jointed rock and a dilatancy-dependent parameter known as relative dilatancy. This study provides a simple and integral solution for strength of jointed rocks, interpreted in relation to the commonly used soil, and rock parameters, used for a realistic design of structure on rock masses. It has scope for prediction of an equivalent strength for tri-axial and plane strain conditions for unconfined and confined rock masses using a simple technique.     

节理分量式剪切本构模型及岩质边坡双安全系数研究

在法向荷载和切向荷载的作用下岩体节理的剪切应力由抗剪断效应、剪胀效应和摩擦效应所引起的三部分应力构成,但三个组成部分在节理的剪切过程中并不是同时发挥其最大作用。在详细分析边坡岩体节理工程地质特性的基础上,提出一种节理分量式剪切本构模型,主要特征为（1）体现了剪胀与剪切之间的耦合效应;（2）采用分量式表达,物理意义更明确;（3）每一分量采用简单函数,避免了总量式分段构造函数的不足。在节理分量式本构模型基础上,提出应用于岩质节理边坡的双安全系数的概念和求解原则,双安全系数能够较好地反映岩体节理剪切破坏直至残余强度的物理过程。最后,通过双安全系数算例明确了各个分量对于边坡稳定性的贡献。     

Modeling strategy for jointed rock masses reinforced by rock bolts in tunneling practice

This paper deals with the modeling of jointed rock masses reinforced by rock bolts. It is well known that rock bolts are extremely effective in reinforcing jointed rocks. However, if a continuum approach is adopted for modeling jointed rock masses, it is often misleading to evaluate the effectiveness of the rock bolts by numerical analyses such as the finite element method. This may be due to the fact that since no more joints exist in the continuum, the effectiveness of the rock bolts in constraining the relative displacements along the joints cannot be evaluated properly. In order to investigate the reinforcement effect of rock bolts, physical model tests were performed in the laboratory. The test results revealed that jointed rock masses should be modeled as an equivalent continuum after the installation of rock bolts and that the mechanical parameters of the equivalent continuum should be evaluated by considering the reinforcement effect of the rock bolts. Therefore, the values of the mechanical parameters differ from place to place in accordance with the relation between joint orientation and rock bolt direction, even though joint systems are homogeneous. In conclusion, in the continuum approach for modeling jointed rock masses, it should be emphasized that rock bolts and jointed rock masses should not be modeled separately but should be modeled simultaneously by considering the reinforcement effect of the rock bolts in constraining joint movement. The modeling of shotcrete reinforced by steel ribs is also discussed in comparison to the modeling by rock bolts.     

充水节理岩体中大断面隧洞开挖的数值模型研究

采用非饱和的渗流应力耦合模型分析了糯扎渡水电站2#导流洞的开挖过程,导流洞部分洞身穿过节理带,洞顶水头较高。详细地讨论了高水头和节理带对施工过程的影响。节理带采用描述高密度平行节理组的各向异性节理本构来逼近;考虑开挖引起的介质变形对渗透系数的影响;考虑排水引起的饱和度变化对渗透系数的影响。所用的非饱和瞬态耦合模型可以模拟出开挖引起的EDZ区域孔隙水压力急剧升高、有效应力减小、渗透系数动态的变化以及排水对洞室稳定性的提高。数值模拟的计算结果与国外类似试验的一般性观测结论相吻合,因此,可以用来评价水位以下隧洞施工方法和施工速度的合理性和经济性。