平行层状岩体的自重应力场

将平行层状复合岩体视为等效的模观各向同性体，推导出自重荷载下地应力的理论解，并分析了两个水平主应力受岩层倾角和岩体弹性参数的影响，结果表明，与各向同性岩体相比，水平主应力的变化范围增大了，并且两上水平主应力可能不再相等，而岩层倾角对水平主应力之比影响显著，当倾角从0－90度变化时，两个水平主应力能从相等到相差内倍，这也说明在地应力研究中，考察岩体的各向异性是十分必要的，所导出的自重应力场解答对地下工程问题具有一定的实用价值。     

Gravity-induced stresses near axisymmetric topography of small slope

An approximate, analytical solution is found for the gravity-induced stresses in the neighbourhood of an axisymmetric topographic feature on an elastic half-space. The solution is in the form of a perturbation expansion in powers of the characteristic slope, ?. The leading order problem, at O(1), is for a distributed normal load on a plane half-space. The O(?) correction is due to a distributed shear traction. The vertical variation of the near-surface stress perturbation and the rotation of the principal stress directions are O(?) effects, and thus include contribution s of like order from both the normal and shear loads. The method requires general solutions for axisymmetric, normal and shear tractions of arbitrary radial distribution, and these are found in terms of Hankel transforms.     

三维应力作用下岩体单个裂隙的渗流特性分析

天然岩体中存在着大量的孔隙和裂隙,这些缺陷不仅改变了岩体的力学性质,也严重影响了岩体的渗流特性。在对现有裂隙岩体渗流特性研究成果进行分析的基础上,讨论了岩体单个裂隙的力学性质和渗流对单个裂隙岩体产生的力学作用,研究了岩体单裂隙渗透系数与岩体三维应力的关系,考虑了裂隙粗糙度对渗流的影响以及不同方向应力对渗透性影响的差异,分析了单个裂隙岩体在三向应力作用下的渗流特征,得出了裂隙所受三维应力与渗透系数关系式,认为垂直于裂隙面的应力对岩体渗透性起主导作用,岩体渗透系数随垂直裂隙面应力的增加而迅速减小。通过与渗流规律试验结果对比分析,证明了所得单个裂隙岩体渗透系数表达式的正确性。     

Progressive failure in stratified and jointed rock mass

Summary This paper describes a mathematical model for analyzing progressive failure in a stratified and jointed rock mass dipping parallel to the slope face. The relationship between the necessary support forces and permissible displacement in the rock mass is discussed. An analytical expression is provided for the minimum required support force corresponding to a critical displacement. This expression is used to evaluate the potential of unstable failure propagation. The effect of time on progressive failure is considered by using a simple rheological model for joints. A case study, involving an excavation in a stratified medium, is used to compare model prediction with monitored performance.     

High lateral strain ratio in jointed rock masses

Rock masses encountered in the field are jointed and highly anisotropic. An important manifestation of this characteristic of rock masses is that the blocks, when slipping, separate and create voids in the mass resulting in high lateral strain even under low axial stress. It has been shown in this study that the ratio of lateral to axial strain may be very high, especially, if the joints are critically oriented. The assumption of isotropic linearly elastic material is not applicable in such situations. This observation is based on the outcome of an extensive laboratory testing programme, in which a large number of specimens of a jointed rock mass with various joint configurations were tested under uniaxial loading conditions. The trends of experimental results for both lateral strain ratio and rock mass strength have also been verified through distinct element modelling. The reason for high lateral strains has been attributed to the creation of voids and also to the fact that permanent deformations due to slip commence along rock joints right from the start of loading process. A simple mechanistic model has also been suggested to explain the high values of lateral strain for rough and dilatant rock joints. The lateral strains in such situations are important in the design of rock bolts. An example from a recently completed hydroelectric project has also been discussed where high lateral strain was found to be responsible for excessive wall closure and failure of rock bolts.     

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.     

Microplane damage model for jointed rock masses

The paper presents a new microplane constitutive model for the inelastic behavior of jointed rock masses that takes into account the mechanical behavior and geometric characteristics of cracks and joints. The basic idea is that the microplane modeling of rock masses under general triaxial loading, including compression, requires the isotropic rock matrix and the joints to be considered as two distinct phases coupled in parallel. A joint continuity factor is defined as a microplane damage variable to represent the stress‐carrying area fraction of the joint phase. Based on the assumption of parallel coupling between the rock joint and the rock matrix, the overall mechanical behavior of the rock is characterized by microplane constitutive laws for the rock matrix and for the rock joints, along with an evolution law for the microplane joint continuity factor. The inelastic response of the rock matrix and the rock joints is controlled on the microplane level by the stress–strain boundaries. Based on the arguments enunciated in developing the new microplane model M7 for concrete, the previously used volumetric–deviatoric splits of the elastic strains and of the tensile boundary are avoided. The boundaries are tensile normal, compressive normal, and shear. The numerical simulations demonstrate satisfactory fits of published triaxial test data on sandstone and on jointed plaster mortar, including quintessential features such as the strain softening and dilatancy under low confining pressure, as well as the brittle–ductile transition under higher confining pressure, and the decrease of jointed rock strength and Young's modulus with an increasing dip angle of the joint. Copyright © 2014 John Wiley & Sons, Ltd.     

软弱岩体钻孔变形测试研究

介绍了在软弱岩体中静荷载测试中钻孔弹模计法的原理和方法,并将该法运用到现场,得到了软弱岩体的压力变形的两种特殊形式。现场结果表明,该方法是对软弱岩体测试的一种比较好的方法。     

Shear resistance of jointed rock masses and stability calculation of rock slopes

Summary Based on an extension to a model originally proposed by Zhang (1990), a method for estimating the shear strength of a jointed rock mass containing two joint sets is developed. Compared to the original method in which only a single en-echelon joint set was considered, the new method has the following advantages: (1) it allows a much more realistic joint pattern to be incorporated; (2) the effects of joint connectivity and intersection angle between joint sets on shear strength are included. Use of the new method is demonstrated by application to the calculation of the stability of slopes in jointed rock. The importance of joint connectivity, joint persistence and joint set intersection angle on slope stability, as predicted by the model, is revealed.     

层状岩石的强度和变形特性研究

从岩石在单轴压应力状态下的性态和岩石工程问题的应用出发,论述了黑灰色钙质页岩岩块层理结构面夹角θ对其破坏特征、强度特性和变形性态的影响。     

Fuzzy set approaches to classification of rock masses

Rock mass classification is analogous to multi-feature pattern recognition problem. The objective is to assign a rock mass to one of the pre-defined classes using a given set of criteria. This process involves a number of subjective uncertainties stemming from: (a) qualitative (linguistic) criteria; (b) sharp class boundaries; (c) fixed rating (or weight) scales; and (d) variable input reliability. Fuzzy set theory enables a soft approach to account for these uncertainties by allowing the expert to participate in this process in several ways. Hence, this study was designed to investigate the earlier fuzzy rock mass classification attempts and to devise improved methodologies to utilize the theory more accurately and efficiently. As in the earlier studies, the Rock Mass Rating (RMR) system was adopted as a reference conventional classification system because of its simple linear aggregation.

The proposed classification approach is based on the concept of partial fuzzy sets representing the variable importance or recognition power of each criterion in the universal domain of rock mass quality. The method enables one to evaluate rock mass quality using any set of criteria, and it is easy to implement. To reduce uncertainties due to project- and lithology-dependent variations, partial membership functions were formulated considering shallow (<200 m) tunneling in granitic rock masses. This facilitated a detailed expression of the variations in the classification power of each criterion along the corresponding universal domains. The binary relationship tables generated using these functions were processed not to derive a single class but rather to plot criterion contribution trends (stacked area graphs) and belief surface contours, which proved to be very satisfactory in difficult decision situations. Four input scenarios were selected to demonstrate the efficiency of the proposed approach in different situations and with reference to the earlier approaches.     

A method of integral sampling of rock masses

SummaryA Method of Integral Sampling of Rock Masses A new sampling method is presented which yields core samples representative of the whole rock mass, including fractures of any nature and their infillings, and also of the zones with very low strength. Additionally the core samples are oriented.By means of the core samples it is possible to determine the properties of the rock mass, particularly of fractures and infillings.

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ZusammenfassungEine Methode zur Entnahme vollständiger Gebirgsproben Die vorliegende Arbeit befaßt sich mit einer neuen Probeentnahmemethode, die es erlaubt, Bohrkerne zu gewinnen, welche das ganze Gebirge darstellen, samt Brüchen jeglicher Art und zugehörigen Füllungen, sowie Bereichen von sehr geringer Festigkeit. Die gewonnenen Bohrkerne sind außerdem richtungsorientiert. Sie erlauben die Bestimmung der Gebirgseigenschaften, besonders der Klüfte und Füllungen.

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RésuméUne Méthode de Sondage Intégral des Massifs Rocheux On présente une nouvelle méthode de sondage qui fournit des carottes représentant l'ensemble du massif rocheux, y compris des fractures de n'importe quelle nature et leurs remplissages, et aussi les zones à très faible résistance. Au surplus les carottes sont orientées.À partir des carottes on peut déterminer les propriétés du massif, notamment de ses fractures et leurs remplissages.

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With 16 Figures     

Shear resistance of en-echelon jointed rock masses in joint direction

Summary A criterion for determining normal stress levels of shear failure of rock masses is developed, then the shear resistance of the rock mass, based upon the geometric model of en-echelon jointed rock masses, can be evaluated for low normal stress levels or high normal stress levels respectively by using the method proposed in this paper. Finally, a procedure generating joint patterns which are described with individual joint geometry parameter or multi-joint geometry parameter is discussed.     

裂隙岩体非饱和渗流的分形模型

基于毛细吸持理论和Sierpinski空间的假定,建立了用分维数表示的毛细压力-有效饱和度及毛细压力-相对渗透系数关系的裂隙岩体非饱和渗流分形模型。根据Monte-Carlo模拟技术由平硐资料生成三维裂隙网络,利用盒维数方法计算裂隙岩体体积分维数。探讨了分维数与裂隙渗透率的关系。结合糯扎渡水利工程实例,将模型计算结果与Brook-Corey模型对比,结果表明相对渗透率主要受最大裂隙开度的影响,当裂隙开度范围不大时,分形模型可较好描述岩体裂隙的毛细压力与有效饱和度的关系。当裂隙开度范围较大时, ,忽略最大裂隙开度,模型可以等价于Brook-Corey模型。     

岩体结构均质区划分法的适用性研究

岩体结构均质区划分是结构面统计与建模的基础。实践中以主控要素作指标、以最优划法为依据,更易获客观真实划分结果。针对国内核废料处置库北山预选区岩体结构面,开展了测窗范围截取、取样偏差及块网变异修正前处理,编程实现了多种方法下的均质区划分,初步探究各法在北山的判别力、适用性、局限性。结果表明：针对北山预选区而言,关联系数法和Mahtab法适用性较弱,Miller法最强;而Miller法中又以“34格大面积块”的划分效果最佳。将此最优划法应用至北山芨芨槽块段,希望能给结构面网络建模及后续渗流计算提供有益参考。     

岩体损伤张量两个公式的比较

探讨岩体中裂纹的主要类型,介绍岩体损伤张量的几何迭加公式和能量等效公式.通过算例比较分析,加深对损伤张量两个公式的认识,建议实际工程运用采用损伤张量的几何迭加公式.     

关于层状岩体变形试验的建议方法

传统的岩体承压板法变形试验以假定岩体为半无限均质弹性介质为前提,只能得出一个综合（等效）的弹性（或变形）模量,对于水电工程中经常遇到的薄的软弱层带的模量不能测定。为此,需要在传统的岩体变形承压板法试验的基础上发展淅的层状岩体承压板法变形试验,它可以利用分层弹模计算的方法测定出软弱层带及其他各个岩层的模量,是岩石力学试验方法上的一次突破。笔者将首次系统地介绍这种新的试验原理、实施、分层弹模计算方法和工程应用。     

A continuum-mechanical approach to the mechanics of rock masses

SummaryA continuum-Mechanical Approach to the Mechanics of Rock Masses A quasihomogeneous region of a discontinuous rock mass is approximated by a generalized Cosserat continuum. Blocks of the rock mass are represented by mass points, and to each point a number of vectors — the directors — is assigned. These directors determine the size and shape of the individual blocks. For this continuum are derived the basic equations of motion and the thermodynamic relations. The stress state is represented by a non-symmetric stress tensor.

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ZusammenfassungEine kontinuumsmechanische Annäherung zur Mechanik der Felsmassen Ein quasi-homogener Bereich einer diskontinuierlichen Felsmasse wird durch ein verallgemeinertes Cosserat-Kontinuum approximiert. Einzelne Kluftkörper der Felsmasse werden dabei als Massenpunkte des Kontinuums betrachtet und jedem Punkt wird eine Zahl von Vektoren — Direktoren genannt — zugeschrieben. Die Direktoren kennzeichnen die Größe und Gestalt der einzelnen Kluftkörper. Für dieses Kontinuum werden die Bewegungsgrundgleichungen und die thermodynamischen Beziehungen abgeleitet. Der Spannungszustand wird durch einen nicht symmetrischen Spannungstensor charakterisiert.

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RésuméUne approximation de la mécanique des massifs rocheux par la mécanique des milieux continus Une région quasi-homogène d'un massif rocheux discontinu est représentée par un milieu continu de Cosserat généralisé. Les blocs du massif rocheux sont représentés par des points; à chacun de ces points est attaché un certain nombre de vecteurs directeurs. Ces vecteurs déterminent les dimensions et la forme de chaque bloc. Les équations fondamentales du mouvement et les relations thermodynamiques sont obtenues pour ce milieu. Les efforts sont caractérisés par un tenseur contrainte non-symétrique.

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Future papers by the author will give more details regarding the same problems in a form more accessible for the practising engineers.

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With 1 Figure