水压致裂测量地应力的断裂力学方法

本文提出了一个水压致裂测量地应力的新的断裂力学方法.该方法改进了 Abou-Sayed 等人（1 978）提出的断裂力学方法.因为当裂隙长度小于某一临界值时,岩石的断裂韧度 K1 c与裂隙长度相关.另外,精确地确定岩石中原生裂隙长度 L 是非常困难的。因此,在计算最大水平主应力时,用一个新参数 U(U=K1 cπ1/2L)代替 K1 c和 L,将显著地提高最大水平主应力的精确度.此外,这个参数可以通过一个简单的空心圆柱破裂实验直接来测定.基于岩石断裂韧度最近的实验结果,当裂隙长度小于某一临界值时,新参数 U 近似为岩石材料常量.同时,参量21/2U 可以取做为含有随机分布较小裂隙的岩石抗拉强度.     

二氧化碳在砂岩透镜体中充注封存的盖层岩石抗断裂性能分析

把CO2这一主要的温室气体注入到地下深处具有适当封闭条件的地层中进行封存和隔离,已被公认为是有效减少CO2排放量的一种比较安全的技术途径。砂岩透镜体油气藏具有良好的圈闭构造和储层物性,油气濒临枯竭的砂岩透镜体是较理想的CO2地质封存箱。基于币形裂纹模型和水力致裂原理,将纵向厚度和横向展布长度均远小于盖层岩石尺度的水平产状砂岩透镜体简化为盖层岩石中的I型币形裂纹,从岩石断裂力学角度分析封存箱盖层岩石的抗断裂性能。采用叠加原理给出了盖层岩石币形裂纹尖端(砂岩透镜体尖灭部位)应力强度因子的计算公式,在此基础上提出了断裂力学判别准则(K=KIC)和临界有效压应力判别准则(P=PC),从岩石断裂力学角度为砂岩透镜体封存箱盖层岩石抗断裂性能分析和评价提供了一种新的研究思路。     

复合型加载条件下锈岩断裂韧度试验研究

岩石断裂韧度表征其抵抗裂纹起裂和扩展的能力,作为其力学性能的一个重要指标,在岩石力学理论研究与岩体工程应用中有着不可替代的作用。由于岩石结构的复杂性,其破坏形式大多呈现为复合型断裂破坏,研究复合型加载条件下岩石断裂韧度具有重要的意义。为了研究锈岩的断裂力学性能,以便其在建筑工业中得到更为广泛的应用,通过18个中心裂纹圆盘（CSTBD）试件径向受压试验,进行了复合型加载条件下锈岩断裂韧度的试验研究。测得了锈岩在纯I型,纯II型以及复合型加载时的断裂韧度,并将试验结果与基于广义最大周向应力（GMTS）准则的理论值进行了对比分析,结果表明：锈岩的纯I型断裂韧度为1.01 MPa?m0.5,而纯II型断裂韧度为1.51 MPa?m0.5,是纯I型断裂韧度的1.49倍,这与基于GMTS准则的理论值1.34非常接近,而比基于最大周向应力（MTS）准则的理论值0.87大很多。裂纹尖端附近的T应力及断裂过程区裂纹尖端的临界距离rc对岩石类材料的开裂路径以及复合型断裂韧度都有较大的影响。考虑了T应力的广义最大周向应力（GMTS）准则能很好的预测试验结果。     

考虑裂隙水压力的岩体压剪裂纹扩展规律研究

在库水位大幅度升、降变化时,容易导致岩体内增量裂隙压力的集中,使断裂面上有效应力降低,裂纹面尖端的应力强度因子增加。当达到临界强度因子时,可能使岩体内裂纹、裂隙贯通、扩展,形成连续的复式破坏面,从而使边坡稳定性降低,造成边坡的失稳。基于此,从断裂力学角度分析了裂隙水压力对裂纹强度因子的影响,对考虑裂隙水压力作用的Ⅰ、Ⅱ型复合裂纹扩展规律进行了研究,结果表明：Ⅰ、Ⅱ型复合裂纹的裂纹扩展角的变化,不仅与裂纹的闭合程度、斜裂纹倾角、双向应力大小有关,还与裂隙水压力的大小、裂纹面的摩擦系数有关;并且在相同情况下,未闭合裂纹的扩展角要大于闭合裂纹的扩展角;对于闭合裂纹,裂纹面摩擦系数越小,扩展角越大;最后,推导了基于摩尔-库仑准则考虑裂隙水压力的岩体断裂韧度KIc、KIIc和压剪状态下Ⅰ、Ⅱ型复合断裂判据。研究成果为分析水岩作用下裂隙岩体的失稳破坏提供了重要的参考。     

基于水压致裂法的岩石抗拉强度研究

为了揭示水压致裂法和巴西劈裂法测量岩石抗拉强度的关系,开展了理论和现场试验研究。基于经典的水压致裂法理论,推导了不同围压下钻孔破裂压力和抗拉强度。利用断裂力学理论建立了水压致裂法和巴西劈裂法测得抗拉强度的关系。利用预制切槽方法模拟天然裂纹,对水力裂缝的起裂压力进行了研究。结果表明：围压为最大主应力等于3倍最小主应力测得的抗拉强度大于围压为0测得的抗拉强度;水压致裂法和巴西劈裂法测量抗拉强度关系与应力场、裂纹长度、断裂韧度3个变量有关;通过在晋城矿区王台铺矿的预制切槽试验,运用断裂力学建立的抗拉强度计算式更为符合现场实际。研究结果可为坚硬难垮落顶板预制切槽的水力压裂设计提供参考。     

Numerical Modelling of the Heterogeneous Rock Fracture Process Using Various Test Techniques

Summary A series of numerical tests including both rock mechanics and fracture mechanics tests are conducted by the rock and tool (R–T^2D) interaction code coupled with a heterogeneous masterial model to obtain the physical–mechanical properties and fracture toughness, as well as to simulate the crack initiation and propagation, and the fracture progressive process. The simulated results not only predict relatively accurate physical–mechanical parameters and fracture toughness, but also visually reproduce the fracture progressive process compared with the experimental and theoretical results. The detailed stress distribution and redistribution, crack nucleation and initiation, stable and unstable crack propagation, interaction and coalescence, and corresponding load–displacement curves can be proposed as benchmarks for experimental study and theoretical research on crack propagation. It is concluded that the heterogeneous material model is reasonable and the R–T^2D code is stable, repeatable and a valuable numerical tool for research on the rock fracture process.     

基于数字图像相关法的两类岩石断裂特征研究

岩石破坏时的临界断裂特征,如过程区长度,裂缝口张开位移是运用断裂力学解决岩石断裂问题的关键所在。传统测量方法,如应变片、直线位移传感器无法获得岩石破坏时的全场变形,因此,也无法准确地获得上述断裂特征。数字图像相关法是一种光学的变形测量方法,其通过试样表面的数字图像采集及相关计算,能够获得岩石破裂过程各个阶段的高精度全场变形特征。利用该试验手段,对两类岩石,即相对较硬的大理岩和相对较软的黄砂岩开展了一系列半圆盘三点弯曲断裂试验并获得了岩石断裂时的临界变形场,对变形场进行分析,从而确定了两类岩石破坏时临界特征、过程区长度及裂缝口张开位移。结果表明,大理岩的断裂过程区长度明显小于黄砂岩的断裂过程区长度,峰值时黄砂岩COD的值均大于相同裂纹长度的大理岩,而较软岩的力学行为更容易受边界效应的影响。上述研究有助于进一步了解不同类型岩石的断裂发展过程并采用相应的方法来解决岩石破裂问题。     

冻融循环条件下岩石弹性模量变化规律研究

岩体冻融损伤机制为温度降低使岩体中的水发生相变、体积膨胀、产生冻胀力的作用,岩体中的微裂隙在冻胀力的作用下扩展延伸,温度升高时,融化的水进入新的裂隙,冻结成冰再次产生冻胀作用,反复循环使裂隙网络扩展,最终造成岩体的损伤。基于此,从弹塑性力学、断裂力学的角度出发,研究了在冻胀力的作用下单裂隙扩展特性,推导了冻胀力与裂纹扩展长度之间的关系,利用Mori-Tanaka方法建立了岩体宏观损伤量与冻胀力及冻融次数之间的关系式,讨论了岩体弹性模量与冻融次数、冻胀应力以及渗透系数的变化规律,并与试验结果进行了比较分析。结果表明,岩体在冻融循环条件下的弹性模量随冻融次数的增加呈非线性减小;冻胀应力越大,岩体弹性模量衰减越快;岩体的渗透系数越大,弹性模量衰减越慢。     

坚硬顶板强制放顶断裂力学模型研究

为了保证坚硬顶板工作面的安全高效生产,根据坚硬顶板初采期间的岩层结构特点,基于断裂力学理论,建立了中部拉槽强制放顶断裂力学模型,推导了基本顶初次破断距的表达式,分析了岩层断裂韧度、裂缝长度等参数对初次破断距的影响规律。研究结果表明:基本顶的初次破断距随断裂韧度的增大而增加,随裂缝长度和基本顶上覆荷载的增大而减小;在基本顶断裂韧度或上覆荷载一定的条件下,人工裂缝长度比达到0.6以后,基本顶初次破断距保持不变。研究结果可为类似工程的设计和施工提供依据。      

Buoyancy-driven propagation of an isolated fluid-filled crack in rock: implication for fluid transport in metamorphism

A new model for upward transport of buoyant fluid released during metamorphism is proposed. The model is fluid transport by buoyancy-driven propagation of isolated fluid-filled cracks. The mechanical behavior of a two-dimensional, isolated, vertical, and fluid-filled crack in impermeable rock is investigated using linear fractire mechanics and fluid dynamics. The results show that steady-state crack propagation which causes long-distance transport of the fluid occurs when the vertical cross-sectional area of the crack exceeds a critical value. Propagation velocity and average thickness of the crack under the steady-state propagation regime are expressed explicitly by the following seven parameters: vertical crack length; rigidity, Poisson's ratio, and fracture toughness of the rock; fluid viscosity; density difference between the rock and the fluid; gravitational acceleration. An isolated H₂O-filled crack of vertical length 100 m, for example, propagates upwards in the crust at 0.3 m/s with the average thickness 0.2 mm when the following likely values are assumed: 0.1 mPa s for the H₂O viscosity; 3 MPa m^1/2 for the fracture toughness of the crustal rock. The application of the obtained results to the transport of H₂O released during metamorphism suggests that the number density of isolated cracks propagating in the crust is very low. Since the propagation velocity is high, our model is suitable particularly for fluid transport through hot quartz-rich rock where fluid-filled cracks have geologically short lifetimes.     

三星堆城墙干缩裂缝开裂与扩展机理

针对土遗址干缩裂缝病害,以三星堆月亮湾城墙剖面为依托,探讨干缩裂缝的开裂条件、扩展特征以及失稳扩展条件。研究结果有助于揭示土遗址开裂规律,对遗址保护的工程实践具有指导意义。针对月亮湾城墙土体进行室内干燥试验,通过电子天平记录试样失水过程,采用图像分析技术得到裂缝的开裂与扩展过程,利用数字图像相关技术得到开裂过程的位移场与应变场。结果表明:试样表面缺陷降低了开裂所需的拉应力,缺陷与边界的距离越小,引发开裂的缺陷临界尺寸就越小,因此裂缝更易在试样边界附近缺陷处产生;根据断裂力学理论,考虑含水率对土体性质的影响,裂缝失稳扩展需满足应力强度因子对含水率的增加率大于断裂韧性;理论推导出裂缝失稳扩展临界长度的计算方法,该方法初步得到了实测数据验证;随着含水率从45.6%降低到29.1%,失稳扩展临界长度与试样宽度比值从0.109减小到0.024,含水率越低裂缝越易进入失稳扩展阶段,开裂处一个微小的缺陷就可能引发裂缝的快速扩展;对土遗址表面进行保护时,应着重修补分布在土层边界区域的大尺寸缺陷;定期监测土遗址临空面,一旦发现开裂,应及时对裂缝及其附近缺陷进行修复,以防止裂缝失稳扩展。     

基于微裂隙变形与扩展的岩石冻融损伤本构模型研究

在冻融条件下岩石微裂隙中的水发生相变,体积膨胀,对微裂隙产生很大的冻胀力,当冻胀力超过岩石的抗拉强度时,微裂隙扩展。温度升高时,水又进入新的微裂隙,如此反复循环造成了岩石的损伤。据此,将岩石中的微裂隙等效为扁平状椭圆裂隙,基于断裂力学建立了单条微裂隙下裂隙扩展长度与冻胀力的关系,考虑岩石中微裂隙的分布,将岩石冻融条件下的应变分解为初始损伤应变、附加损伤应变和塑性应变,建立了弹塑性冻融损伤本构模型。最后,通过岩石冻融试验对该模型的合理性进行了验证,结果表明,该模型能够较好地模拟岩石在不同冻融次数下的应力-应变关系曲线。     

水工隧洞围岩裂纹扩展的临界水压解析解

通过把断裂力学扩展判据引入水工隧洞解析解中,使宏观的水工隧洞受力分析与细观的围岩裂纹扩展研究相结合;将隧洞围岩裂纹分为拉剪型裂纹和压剪型裂纹,并针对不同类型裂纹的开展机制,分别推导了水工隧洞围岩拉剪型和压剪型裂纹扩展时的临界内水压力表达式。在此基础上,分析了裂纹的走向、长度、埋深等参数对临界水压的影响规律。算例显示,在高内水压力作用下,或者由于地应力释放的影响,裂纹既可能发生拉剪型扩展,也可能发生压剪型扩展,但后者发生的几率更大。在内水压力控制工况下,当裂纹走向垂直于洞壁法线方向时最不容易发生扩展;裂纹长度越长,埋深越浅,围岩孔隙水的作用面积越大,裂纹发生扩展的可能性越大。     

DEM investigation on fracture mechanism of the CCNSCB specimen under intermediate dynamic loading

The cracked chevron notched semi-circular bending (CCNSCB) method falls into a significant testing category of chevron notched specimens for measuring the mode I fracture toughness, of which the progressive fracture mechanism deserves to be further assessed under intermediate dynamic loading rate (IDLR). In this study, the discrete element method (DEM) is adopted to depict the three-dimensional fracture processes of the CCNSCB specimens subjected to different IDLRs considering different supporting spans. The results demonstrate that the crack front of the CCNSCB specimen with any loading condition is prominently curved, which violates the straight-through crack propagation assumption and may induce some errors in the fracture toughness measurements. For each IDLR, the peak force of the CCNSCB specimen evidently increases with decreased supporting span, and the effect of loading rate on this parameter is more prominent for a smaller supporting span. For a relatively large span, the crack grows restrictively in the notched ligament, which conforms to the ideal assumption of the fracture process and contributes to an accurate measurement of the mode I fracture toughness. Thus, a large supporting span is suggested for the semi-circular bend tests. Additionally, the critical crack length and peak force are found dependent on the loading rate, and they are larger for the higher loading rate. Thus, the critical crack length determined under quasi-static conditions is not strictly suitable for the specimens under different IDLRs, especially for the much higher IDLR. This study calls for more attention on how to accurately determine the fracture toughness via chevron notched samples.     

爆破开挖对岩体含水裂纹扩展的扰动机制

岩体裂纹的水力劈裂是岩体开裂渗漏甚至施工涌水的重要影响因素之一,也是岩土工程界的研究热点。从断裂力学角度分析了爆破开挖对岩体含水裂纹扩展的扰动作用,结果表明,爆破开挖扰动下,岩体含水裂纹的扩展,与爆炸应力波强度及其入射角、地应力的大小与方向、孔隙水压大小、裂纹的倾角及断裂韧度等因素相关;爆炸应力波的作用,相当于增大了岩体裂纹中的孔隙水压力,每1 cm/s的峰值振动速度相当于增大100 kPa的孔隙水压力,爆破振动速度越大,所产生的爆破扰动荷载越大;岩体开挖引起的岩体裂纹近区地应力及其孔隙水压力的变化,对裂纹的失稳与扩展具有较复杂的影响,可改变裂纹的失稳扩展模式。     

Mapping the state of fracture around cavities

The state of stress around cavities is heterogeneous. Consequently, the state of fracture may also vary from point to point. Under compressive loading, cavity may be in one of four possible states: pre-fracture (pre-microfracture initiation), microfracture propagation (initiation to the onset of dilata dilatancy to failure) and post-failure. These four states are separated by the crack initiation stress, the crack damage stress and the failure stress. fracture events with confining pressure is examined with reference to three intact rocks: a brittle granite, a semi-brittle limestone and a ductile sal

The maximum principal stress (σ₁) at crack initiation, crack damage (onset of dilatancy), yielding and failure are established as a function stress (σ₃). For a single intact rock, all four fracture events can be represented using one function (the Rocker function) with a single fac various fracture states.

The proposed fracture criteria, based on the experimental data, are combined with the existing state of stress to prepare a fracture map around an elli intact Lac du Bonnet granite. The state of stability is expressed through a newly defined stability factor, the unconfined strength ratio (USR), wh to the traditional safety factor. In contrast to the conventional safety factor in rock mechanics (SFstrength/σ₁), which is σ₃ 3–σ₁, space of the stability diagram.     

Effect of Specimen Geometry and Testing Method on Mixed Mode I–II Fracture Toughness of a Limestone Rock from Saudi Arabia

Summary The effect of testing method and specimen geometry such as diameter, thickness, and crack length and type on measured fracture toughness was investigated using specimens collected from a limestone rock formation outcropping in the Central Province of Saudi Arabia. Straight Edge Cracked Round Bar Bend (SECRBB), semicircular disk specimens under three point bending, and Brazilian disk specimens under diametrical compression were used in this investigation. SECRBB specimens were used for the Mode-I study, and notched Brazilian disk and semicircular specimens were used for the mixed Mode I–II study. The results show that specimen diameter and crack type have a substantial influence on the measured fracture toughness; however, loading rate, crack size, and specimen thickness seem to have a negligible effect on the fracture toughness. Mode-I fracture toughness is significantly influenced by specimen diameter and crack type, while their effects on Mode-II fracture toughness are generally negligible. The different specimens (SECRBB, Brazilian disk, and semicircular) can give comparable results only when the proper span to diameter ratio is used. The Brazilian disk with a straight notch was found to be the most convenient geometry to use for fracture toughness determination. A simple method of making a precise notch inside the disk is presented, using the combination of a drilling machine and a wire saw.     

考虑卸荷作用的底板突水破坏机制研究

在依据摩尔图解及断裂力学理论对底板卸荷突水破坏分析的基础上,运用损伤断裂力学并结合统一强度理论,建立了考虑渗透水压作用下分支裂纹端部形成的塑性区范围计算方程与岩体发生贯穿破坏时的损伤阀值。将裂纹扩展过程与岩体损伤耦合起来,确定了裂纹的损伤断裂能量计算公式并分析了其影响因素。结果表明：侧压系数 0.5时,最大主应力完全卸荷状态下裂纹端部应力强度因子比双轴应力状态下大,岩体易发生破坏。考虑了裂纹端部塑性区的影响,裂纹损伤断裂能量相比于不考虑其影响时偏大,增大了煤层底板突水的危险性。裂纹损伤断裂能量 与裂纹半长 、裂纹面连通面积与总面积之比 、裂纹面渗透水压 及最小主应力 呈正相关,与裂纹面摩擦系数 及岩体的弹性模量 呈负相关。分析结果为底板突水破坏机制研究提供了一定的参考依据。     

The stress-strain behaviour of rock material related to fracture under compression

Fracture is the main reason for the non-linear behaviour of hard rocks. The fracture mechanics of rock is studied in this article by analysis of the fracture process under compression. A constitutive model that describes the relationship between the macro deformation of rock and the micro fracture within rock is developed. The propagation of microcracks, the non-linearity of deformation, the loading-and-unloading hysteresis and the variation of the apparent Young's modulus and Poisson's ratio are studied using the developed model. The model simulations demonstrate that: (1) the fracture toughness, initial crack length, crack density, and Young's modulus are four crucially important parameters that affect the deformation behaviour of rock; (2) the elastic parameters (E and v) of the rock matrix should be measured in triaxial tests. If they are measured in uniaxial tests, the upper straight unloading portion of the stress-strain curve is suggested to be used for the purpose, unless the closure effect of open cracks will be included in the estimations. In addition (3), the slope of the reloading stress-strain curve is a measure of the damage in material.     

栅格胎体孕镶金刚石钻头的破岩机理分析

从岩石宏观裂纹变化出发,研究孕镶金刚石钻头在钻进过程中由于岩体裂纹的影响而造成的断裂问题。运用岩石断裂力学理论,结合钻头实际工作条件,简化应力、水力及裂纹条件,建立了简化的岩石断裂等效模型,从理论上分析了一种新型栅格胎体孕镶金刚石钻头的破岩机理。研究结果表明:与常规的钻头相比,新型钻头的特殊栅格结构能有效提高钻压,比压由原来的68.03 kgf/cm2增加到了113.33 kgf/cm2,提高了将近67 %,使钻头能更有效地压入岩体,产生破碎穴及裂纹;特殊的栅格结构有利于冲洗液的储存,改善了金刚石颗粒的冷却效果,从而以更加有利的拉裂破坏方式破碎岩石。