岩石破裂过程TMD耦合数值模型研究

从岩石的细观结构层次出发,应用损伤力学和热弹性理论,对热力耦合作用下岩石破裂过程中热-应力-损伤相互作用关系进行了分析。初步建立了细观热-应力-损伤（TMD model,thermal-mechanical-damage）耦合数值模型,并在岩石破裂过程分析系统RFPA2D中加实现。运用该数值模型计算模拟均匀与非均匀材料试样在热力耦合作用下的应力分布及破坏形 态,通过与理论及试验结果对比,证明了该数值模型的合理性和有效性。     

单轴压缩下横观各向同性岩石破裂过程的数值模拟

采用基于细观损伤力学基础上开发的RFPA2D数值模拟软件,用2种不同的岩石材料来组成7个不同岩层倾角的横观各向同性的岩石试件,通过单轴加载数值模拟试验,模拟横观各向同性岩石渐进破裂的整个过程,分析了岩层与最大主应力之间的倾角和强度之间的关系,讨论了不同岩层倾角的横观各向同性岩体的不同破裂模式及其破坏准则。     

Numerical analysis of slope stability based on the gravity increase method

A micromechanical model is proposed for studying the stability and failure process of slopes based on the gravity increase method (GIM). In this numerical model the heterogeneity of rock at a mesoscopic level is considered by assuming that the material properties conform to the Weibull distribution. Elastic damage mechanics is a method used for describing the constitutive law of the meso-level element, the finite element method (FEM) is employed as the basic stress analysis tool, and the maximum tensile strain criterion and the Mohr–Coulomb criterion are utilised as the damage threshold. The numerical model is implemented into the Realistic Failure Process Analysis (RFPA) code using finite element programming, and an extended version of RFPA, i.e., RFPA-GIM, is developed to analyse the failure process and stability of slopes. In the numerical modelling with RFPA-GIM, the critical failure surface of slopes is obtained by increasing the gravity gradually but keeping material properties constant. The acoustic emission (AE) event rate is employed as the criterion for slope failure. The salient feature of the RFPA-GIM in stability analysis of slopes is that the critical failure surface as well as the safety factor can be obtained without any presumption for the shape and location of the failure surface. Several numerical tests have been conducted to demonstrate the feasibility of RFPA-GIM. Numerical results agree well with experimental results and those predicted using the FEM strength reduction method and conventional limit equilibrium analysis. Furthermore it is shown that selection of the AE rate as the criterion for slope failure is reasonable and effective. Finally, the RFPA-GIM is applied to several more complex cases, including slopes in jointed rock masses and layered rock formations. The results indicate that the RFPA-GIM is capable of capturing the mechanism of slope failure and has the potential for application in a larger range of geo-engineering.     

Damage Constitutive and Failure Prediction of Artificial Single-Joint Sandstone Based on Acoustic Emission

The effect law of deformation and failure of a jointed rock mass is essential for underground engineering safety and stability evaluation. In order to study the evolution mechanism and precursory characteristics of instability and failure of jointed rock masses, uniaxial compression and acoustic emission (AE) tests are conducted on sandstones with different joint dip angles. To simulate the mechanical behavior of the rock, a jointed rock mass damage constitutive model with AE characteristic parameters is created based on damage mechanics theory and taking into account the effect of rock mass structure and load coupling. To quantify the mechanism of rock instability, a cusp catastrophe model with AE characteristic parameters is created based on catastrophe theory. The results indicate that when the joint dip angle increases from 0° to 90°, the failure mechanism of sandstone shifts from tensile to shear, with 45° being the critical failure mode. Sandstone's compressive strength reduces initially and subsequently increases, resulting in a U-shaped distribution. The developed damage constitutive model's theoretical curve closely matches the test curve, indicating that the model can reasonably describe the damage evolution of sandstone. The cusp catastrophe model has a high forecast accuracy, and when combined with the damage constitutive model, the prediction accuracy can be increased further. The research results can provide theoretical guidance for the safety and stability evaluation of underground engineering.

     

动静组合作用下刀具破岩机制数值分析

基于细观损伤有限元方法,模拟分析了刀具在单一动载、动静联合荷载、静态围压条件下动静联合荷载3种情况下岩体破碎的全过程。模型采用黏弹性人工边界剔除了边界应力波反射对模拟结果准确性的影响。数值模拟结果表明：在弹性情况下,静压的存在对岩体内部最小主应力值影响不大,却显著提高了材料内部最大主应力水平,增大了剪应力的大小,导致剪切破坏可能性增加;当有围压存在时,岩体内部受拉区域减少,岩体强度有所提高。单一动载和动静联合荷载破岩时,岩体内部除刀头附近呈现少量压破坏外,破坏均以拉破坏为主;而围压条件下,岩体破碎面积相对减小,裂纹在围压的作用下向两侧自由面延伸,岩体内部破坏形式则趋于多样化,压破坏比重明显增大,整体表现为拉压复合作用。模拟结果还表明,刀头侵入量主要受动载力大小影响,在相同幅值增量下,动载力增加导致的刀头侵入量远大于静压增加所导致的侵入量。相对单一动载和静压作用下的岩石破碎机制来说,动静组合加载破岩的研究还需更为深入的探讨。研究结果可望对岩体破坏机制以及地下工程作业等实际应用提供一定的参考。     

偏压分岔隧道施工过程损伤破坏分析与优化研究

正在施工的沪蓉西高速公路八字岭分岔隧道属于偏压隧道,而且分岔隧道包括连拱段和小净距段,施工过程转换复杂,因此,采用正确的施工方案对于隧道的稳定性非常重要。为更真实地模拟岩体的力学特性,研究施工过程中岩体的损伤破坏,根据不可逆热力学理论建立了弹塑性损伤耦合模型,并编制了三维弹塑性损伤有限元程序D-FEM。建立了分岔隧道大型三维数值模型,采用弹塑性损伤有限元D-FEM模拟了分岔隧道不同的施工过程,通过分析施工过程中隧道围岩的位移、应力和损伤屈服区,最终确定采用左洞超前右洞32 m,左右洞同步开挖的施工方法。     

Micromechanical Model for Simulating the Fracture Process of Rock

Summary A micromechanical model is proposed to study the deformation and failure process of rock based on knowledge of heterogeneity of rock at the mesoscopic level. In this numerical model, the heterogeneity of rock at the mesoscopic level is considered by assuming the material properties in rock conform to the Weibull distribution. Elastic damage mechanics is used to describe the constitutive law of meso-level elements, the finite element method is employed as the basic stress analysis tool and the maximum tensile strain criterion as well as the Mohr-Coulomb criterion is utilized as the damage threshold. A simple method, similar to a smeared crack model, is used for tracing the crack propagation process and interaction of multiple cracks. Based on this model, a numerical simulation program named Rock Failure Process Analysis Code (RFPA) is developed. The influence of parameters that include the Weibull distribution parameters, constitutive parameters of meso-level elements and number of elements in the numerical model, are discussed in detail. It is shown that the homogeneity index is the most important factor to simulate material failure with this model. This model is able to capture the complete mechanical responses of rock, which includes the crack patterns associated with different loading stages and loading conditions, localization of deformation, stress redistribution and failure process. The numerical simulation of rock specimens under a variety of static loading conditions is presented, and the results compare well with experimental results.     

Three-Dimensional Numerical Investigations of the Failure Mechanism of a Rock Disc with a Central or Eccentric Hole

The diametrical compression of a circular disc (Brazilian test) or cylinder with a small eccentric hole is a simple but important test to determine the tensile strength of rocks. This paper studies the failure mechanism of circular disc with an eccentric hole by a 3D numerical model (RFPA3D). A feature of the code RFPA3D is that it can numerically simulate the evolution of cracks in three-dimensional space, as well as the heterogeneity of the rock mass. First, numerically simulated Brazilian tests are compared with experimental results. Special attention is given to the effect of the thickness to radius ratio on the failure modes and the peak stress of specimens. The effects of the compressive strength to tensile strength ratio (C/T), the loading arc angle (2α), and the homogeneity index (m) are also studied in the numerical simulations. Secondly, the failure process of a rock disc with a central hole is studied. The effects of the ratio of the internal hole radius (r) to the radius of the rock disc (R) on the failure mode and the peak stress are investigated. Thirdly, the influence of the vertical and horizontal eccentricity of an internal hole on the initiation and propagation of cracks inside a specimen are simulated. The effect of the radius of the eccentric hole and the homogeneity index (m) are also investigated.     

基于CT三维重建的注水煤岩体裂隙扩展规律研究

针对煤层注水防尘过程中注水压力设置不合理、注水渗流效果差等问题,采用CT扫描技术与RFPA软件相结合的方法,构建了可以表征注水煤岩体内部孔裂隙结构的三维细观非均匀渗流损伤数值模型。通过对经过CT三维重构的煤岩模型进行不同注水压力的渗流损伤模拟,研究了煤层注水压力对煤样的渗流破坏、渗透率演化及声发射特性变化的影响;并通过对重构的煤岩模型进行缩放处理,研究了煤岩尺寸对煤样的渗流破坏和声发射变化的影响。研究结果表明：在煤样微观裂隙扩展过程中,随着注水压力的递增,煤样损伤单元数、渗流运动的渗流场分布范围、渗透率、声发射数目和能量总体呈上升趋势,局部范围内有波动发生,发生波动的原因是由于渗流运动的渗流场与煤样裂隙内部应力场发生临界反应,致使煤样破坏单元位置发生改变;煤样渗透率由3.82×10−5 μm2上升至0.314 μm2,孔隙率由5.45%上升至48.45%,揭示了煤岩体裂隙总体上随注水压力增大而不断扩展贯通,局部上随注水压力增大而扩展趋势有所下降的影响规律;随着煤样尺寸的增加,注水破坏后煤样的孔隙率呈现先下降后逐渐平稳的趋势,声发射特性变化趋势正好与之相反,表明煤样的尺寸对注水煤岩渗流破坏有显著影响,但当煤样尺寸超过40 mm时,煤样尺寸对注水煤岩渗流破坏的影响趋于稳定。CT扫描技术与RFPA软件相结合的方法能够有效模拟注水煤岩的裂隙渗流扩展行为。     

Effect of Tunnel Shape and Support System on Stability of a Tunnel in a Deep Coal Mine in China

Stability level of tunnels that exist in an underground mine has a great influence on the safety, production and economic performance of the mine. Ensuring of stability for soft-rock tunnels is an important task for deep coal mines located in high in situ stress conditions. The aim of this study is to investigate the effect of tunnel shape and support pattern on the deformation, failure zone and stability around a tunnel located in a coal rock mass in China and to select an appropriate tunnel shape and a support pattern to provide a stable stress-deformation condition around the tunnel. Using the available information on stratigraphy, geological structures, in situ stress measurements and geo-mechanical properties of intact rock and discontinuity interfaces, a three-dimensional numerical model was built using the FLAC software to simulate the stress conditions around the tunnel in the coal rock mass. Analyses were conducted for several tunnel shapes and rock support patterns. Results obtained for the distribution of failed zones, and stress and displacement fields around the tunnel were compared to select the best tunnel shape and support pattern to achieve the optimum stability conditions. Also, a comparison is given between the numerical predictions and field deformation monitoring results.     

动载荷作用下岩石破坏过程的数值试验研究

采用基于细观损伤力学基础上开发的动态版RFPA2D数值模拟软件,对动载荷作用下应力波延续时间、应力波峰值和围压对岩石试样破坏的影响进行了数值研究,结果表明,应力波延续时间较短,则尾随应力波波前的高应力区范围较窄,应力波衰减较快;相反,应力波延续时间较长,则紧跟应力波波前的高应力区范围较大,岩石处于破坏状态的时间延长,岩石的破碎程度加大。此外,存在一个合适的应力波延续时间,过分地加大应力波延续时间,反而不利于岩石裂隙的发育。动载荷的峰值越大,试样的破坏程度越大,当峰值达到一定值时,试样顶部呈现粉碎状,试样从上到下破坏程度逐渐减弱。在冲击载荷作用下的岩石随着围压的增加更难破碎,但当围压增大到一定程度时,岩石会突然失稳破坏。     

Damage formation associated with bending under a constant moment

Deformation within the Earth's lithosphere is largely controlled by the rheology of the rock. Fracture and faulting are characterized by elastic rheologies with brittle mechanisms, while folding and flow are characterized by plastic and/or viscous rheologies due to ductile mechanisms. However, it has been recognized that deformation that resembles ductile behavior can be produced within the confines of the brittle lithosphere. Specific examples are folds that form in the shallow crust, steep hinges at subduction zones that are accompanied by seismicity, and large-scale deformation at plate boundaries. In these cases, the brittle lithosphere behaves elastically with fracture and faulting yet produces ductile behavior. In this paper, we attempt to simulate such ductile behavior in elastic materials using continuum damage mechanics. Engineers utilize damage mechanics to model the continuum deformation of brittle materials. We utilize a modified form of damage mechanics that represents a reduction in frictional strength of preexisting fractures and faults. We use this empirical approach to simulate the bending of the lithosphere under the application of a constant moment.We use numerical simulations to obtain elastostatic solutions for plate bending and where the longitudinal stress at a particular node exceeds a yield stress, we apply damage to reduce Young's modulus at the node. Damage is calculated at each time step by a power-law relationship of the ratio of the yield stress to the longitudinal stress and the yield strain to the longitudinal strain. This results in the relaxation of the material due to increasing damage. To test our method, we apply our damage rheology to an infinite plate deforming under a constant bending moment. We simulate a wide range of behaviors from slow relaxation to instantaneous failure, over timescales that span six orders of magnitude. Using this method, stress relaxation produces elastic-perfectly plastic behavior in cases where failure does not occur. For cases of failure, we observe a rapid increase in damage leading to failure, analogous to the acceleration of microcrack formation and acoustic emissions prior to failure. The changes in the rate of damage accumulation in failure cases are similar to the changes in b-values of acoustic emissions observed in triaxial compression tests of fractured rock and b-value changes prior to some large earthquakes. Thus continuum damage mechanics can simulate the phenomenon of ductile behavior due to brittle mechanisms as well as observations of laboratory experiments and seismicity.     

基于大直径霍普金森压杆数值试验的非均匀介质动态破坏过程分析

基于细观损伤力学基础而开发的动态岩石破裂过程分析系统RFPA2D代替大直径SHPB试验技术对非均匀介质的动态破坏过程和动态性能进行数值模拟,分析了加载波形和介质的非均匀性对数值试样的动态性能,如应力-时间曲线、应变-时间曲线、应力-应变曲线和应变率-时间曲线的影响。分析表明,大直径SHPB弥散效应对试验结果的影响较大,选择合适的加载波形可以减小SHPB装置中应力波的弥散效应,得到较准确的试验结果,其中三角形波加载可以有效降低大直径SHPB动态测试中的应力波弥散,是岩石等非均匀材料SHPB动态测试的较理想加载波形;在相同加载条件下,岩石的非均匀性对波的弥散效应影响不大,但非均匀岩石的试验曲线比均匀岩石的曲线在波峰后都出现较大的振荡,这主要是由于不同均质度的岩石其单元具有不同的破坏分布造成的,不是波形弥散造成的。     

Analysis of fracture propagation in a rock mass surrounding a tunnel under high internal pressure by the element-free Galerkin method

Fractures developed around high pressurized gas or air storage tunnels can progressively extend to the ground surface, eventually leading to an uplift failure. A tool reasonably reproducing the failure patterns is necessary for stability assessment. In this study, a numerical method based on the element-free Galerkin (EFG) method with a cohesive crack model is developed to simulate fracture propagation patterns in the rock mass around a tunnel under high internal pressure. A series of physical model tests was also conducted to validate the reliability of the developed method. A qualitative agreement between physical model tests and numerical results can be obtained. The in situ stress ratio, k, has a strong influence on both the position of crack initiation and the propagation direction. The numerical analyses were extended to full-scale problems. Numerical tests were performed to investigate the prime influencing factors on the failure patterns of a high pressurized gas circular tunnel with varying parameters. The results suggest that initial in situ stress conditions with a high k (larger than 1) is favorable for construction of pressurized gas or air storage tunnels.     

脆性岩石破裂演化过程的三维细胞自动机模拟

在三维条件下定义了实体细胞自动机的基本组件,综合运用弹塑性理论、细胞自动机自组织演化理论、统计原理以及岩石力学理论等,建立了模拟岩石三维破裂过程的张量型细胞自动机模型,并开发了相应的数值模拟软件EPCA3D。利用EPCA3D对脆性岩石进行单轴压缩破裂过程模拟,通过破裂模式、岩样内部破裂情况、全应力-应变曲线和声发射曲线等的分析,揭示岩石破裂的机制。结果表明,EPCA3D能够较好地模拟非均质岩石在载荷作用下微裂纹的萌生、扩展和贯通的全过程。利用该模拟系统,采用应力-应变线性组合的加载控制方式,研究了不同围压对岩石全应力-应变曲线的影响。研究结果表明：对于脆性非均质岩石,低围压下容易表现为II类行为,且强度较低;高围压下容易表现为I类变形行为,且强度较高。     

基于渗流-损伤-应力耦合作用下考虑力学参数弱化的巷道围岩变形破坏分析

地下工程岩体渗流-损伤-应力耦合问题的研究对于巷道围岩的稳定性分析具有重要意义。本文在总结分析了巷道变形破坏类型影响因素的基础上,基于弹塑性力学、渗流力学以及损伤理论建立了岩体渗流-损伤-应力耦合模型。该模型充分考虑了多物理场耦合过程中,工程岩体的非均质性,岩体力学参数发生的动态弱化过程,围岩塑性屈服的峰后特性以及渗透系数在损伤过程中的突变性。基于多物理场耦合软件,数值模拟结果分析得到,使用该模型能更好地反映巷道围岩的屈服破坏程度和渐进破坏过程。应用该模型分析不同深度下的巷道围岩渐进性破坏过程可以得出:水平地应力为主导的地层中的巷道,屈服破坏主要发生在顶拱和底板,竖直地应力为主导的地层中的巷道,屈服破坏主要发生在两侧边墙,水平地应力和竖直地应力相近的地层中,巷道四周均发生不同程度的破坏,这与工程实际有很好的符合。     

Numerical prediction of blast‐induced stress wave from large‐scale underground explosion

This paper presents a numerical model for predicting the dynamic response of rock mass subjected to large‐scale underground explosion. The model is calibrated against data obtained from large‐scale field tests. The Hugoniot equation of state for rock mass is adopted to calculate the pressure as a function of mass density. A piecewise linear Drucker–Prager strength criterion including the strain rate effect is employed to model the rock mass behaviour subjected to blast loading. A double scalar damage model accounting for both the compression and tension damage is introduced to simulate the damage zone around the charge chamber caused by blast loading. The model is incorporated into Autodyn3D through its user subroutines. The numerical model is then used to predict the dynamic response of rock mass, in terms of the peak particle velocity (PPV) and peak particle acceleration (PPA) attenuation laws, the damage zone, the particle velocity time histories and their frequency contents for large‐scale underground explosion tests. The computed results are found in good agreement with the field measured data; hence, the proposed model is proven to be adequate for simulating the dynamic response of rock mass subjected to large‐scale underground explosion. Extended numerical analyses indicate that, apart from the charge loading density, the stress wave intensity is also affected, but to a lesser extent, by the charge weight and the charge chamber geometry for large‐scale underground explosions. Copyright © 2004 John Wiley & Sons, Ltd.     

岩石损伤过程中的热-流-力耦合模型及其应用初探

岩石损伤过程热-流-力（THM）耦合问题的研究对于深部采矿等许多工程领域都具有重要的理论意义。以岩石的损伤为主线,在多场耦合分析方程中引入损伤变量,基于质量守恒和能量守恒原理,提出岩体损伤过程中的THM耦合模型。通过把均匀弹性介质THM耦合响应的模拟结果与理论分析结果进行对比,验证了程序及有限元实施的正确性。然后,用该耦合模型进行了不同地应力条件下流固耦合过程的数值模拟,探讨了水压力对于岩石损伤过程的作用机制。数值模拟表明,水压力导致了拉伸损伤范围的扩大和损伤程度的加剧,同时亦对剪切损伤具有抑制作用。     

深部断续节理岩体中渗流对巷道稳定性影响的数值分析

应用自主开发的岩石破坏过程渗流与应力耦合分析软件F-RFPA2D,通过对高应力节理岩体中巷道的失稳破坏过程所进行的数值模拟分析,研究了深部断续节理岩体中地应力及渗流对巷道稳定性的影响。模拟结果不但直观形象地给出了巷道的渗流场、应力场、破坏区分布,而且得到了巷道周边关键部位的位移变化情况,并与无地下水的稳定性进行了比较。结果表明,岩体中断续节理与地应力及渗流相互作用,对巷道失稳的演化起了重要作用,如巷道与节理的相对方位决定了巷道坍塌的方向;岩桥对巷道的稳定起了重要的作用;虽然渗流应力加速了巷道的失稳破坏,但没有改变高地应力对巷道的主要破坏模式。该研究对于进一步理解深部岩体中节理、地应力及渗流对巷道稳定性的影响进而采取有效的加固措施具有重要的理论和实践意义     

单轴压缩下岩石蠕变失稳破坏过程数值模拟

在岩石破裂过程分析（RFPA2D）系统的基础上,考虑岩石损伤过程的时间因素影响,引入岩石细观单元蠕变本构方程,建立了考虑流变效应的岩石破裂过程RFPA2D数值模型。应用该模型模拟了恒定荷载作用下岩石的蠕变破坏过程,得到了岩石蠕变破裂的3个典型阶段：初始蠕变阶段、稳定蠕变阶段和加速蠕变阶段,模拟结果同实验室试验所观察到的现象十分吻合。这表明考虑流变效应的RFPA2D数值模型适用于模拟岩石的蠕变破坏这一复杂的、非线性演化问题。此外,数值模拟还揭示了岩石的宏观蠕变破坏实质上是细观层次上单元损伤累计的结果,这些结论对岩石工程的长期稳定性研究具有重要的理论指导和实践意义。