• Title/Summary/Keyword: initiation and propagation of the rock fracture

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Experimental observation and realistic modeling of initiation and propagation of the rock fracture by acoustic emission

  • Wang, Shu-Hong;Lee, Chung-In;Jeon, Seok-Won;Lee, Hee-Kwang;Tang, Chun-An
    • 한국암반공학회:학술대회논문집
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    • 한국암반공학회 2006년도 춘계학술발표회 논문집
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    • pp.79-93
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    • 2006
  • It is well known that acoustic emission (AE) is indicator of rock fracturing or damage as rock is brought to failure under the uniaxial compressive loads. In this paper, an experimental study on the source location of acoustic emission on the cylindrical specimens of granite under uniaxial compression test was made. The AE source location was made by measuring the six channel AE data. Comparing to this experiment, the numerical method is applied to model the initiation and propagation of fracture by AE using a numerical code, RFPA (Realistic Failure Process Analysis). This code incorporates the mesoscopic heterogeneity in Young's modulus and rock strength characteristic of rock masses. In the numerical models, values of Young's modulus and rock strength are realized according to a Weibull distribution in which the distribution parameters represent the level of heterogeneity of the medium. The results of the simulations show that RFPA can be used not only to produce acoustic emission similar to those measurements in our experiments, but also to predict fracturing patterns under uniaxial loading condition.

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Rock fracturing mechanisms around underground openings

  • Shen, Baotang;Barton, Nick
    • Geomechanics and Engineering
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    • 제16권1호
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    • pp.35-47
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    • 2018
  • This paper investigates the mechanisms of tunnel spalling and massive tunnel failures using fracture mechanics principles. The study starts with examining the fracture propagation due to tensile and shear failure mechanisms. It was found that, fundamentally, in rock masses with high compressive stresses, tensile fracture propagation is often a stable process which leads to a gradual failure. Shear fracture propagation tends to be an unstable process. Several real case observations of spalling failures and massive shear failures in boreholes, tunnels and underground roadways are shown in the paper. A number of numerical models were used to investigate the fracture mechanisms and extents in the roof/wall of a deep tunnel and in an underground coal mine roadway. The modelling was done using a unique fracture mechanics code FRACOD which simulates explicitly the fracture initiation and propagation process. The study has demonstrated that both tensile and shear fracturing may occur in the vicinity of an underground opening. Shallow spalling in the tunnel wall is believed to be caused by tensile fracturing from extensional strain although no tensile stress exists there. Massive large scale failure however is most likely to be caused by shear fracturing under high compressive stresses. The observation that tunnel spalling often starts when the hoop stress reaches $0.4^*UCS$ has been explained in this paper by using the extension strain criterion. At this uniaxial compressive stress level, the lateral extensional strain is equivalent to the critical strain under uniaxial tension. Scale effect on UCS commonly believed by many is unlikely the dominant factor in this phenomenon.

Numerical study of rock mechanical and fracture property based on CT images

  • Xiao, Nan;Luo, Li-Cheng;Huang, Fu;Ling, Tong-Hua
    • Geomechanics and Engineering
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    • 제31권4호
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    • pp.395-407
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    • 2022
  • In this paper, cracks with different angles are prefabricated in rock specimens to study the fracture characteristics of rock based on CT images. The rock specimens are prepared for compression tests according to the standard recommended by ISRM (International Society for Rock Mechanics). The effects of different angles on rock mechanical properties and crack propagation fracture modes are analyzed. Then, based on the cohesive element method and CT images, the relationship between porosity and Young's modulus as well as the fracture property is explored by the numerical modelling. In the modelling, the distribution of Young's modulus is determined by the CT image through the field variable method. The results show that prefabricated cracks reduce the mechanical properties of rock. The closer the angles of the prefabricated crack is, the greater the Young's modulus of the rock sample is. The failure process of each specimen with prefabricated cracks is formed by the initiation and propagation of crack, and the angle of the prefabricated crack will affect the type of extended crack. As part of the numerical model proposed in this paper, the microstructure of rocks is reflected by CT images. The numerical results verify the effectiveness of the cohesive element method in the study of crack propagation for rock. The rock model in this paper can be used to predict engineering disasters such as collapse and landslide caused by rock fracture, which means that the methodology adopted in this paper is comprehensive and important to solve rock engineering problems.

Crack initiation mechanism and meso-crack evolution of pre-fabricated cracked sandstone specimens under uniaxial loading

  • Bing Sun;Haowei Yang;Sheng Zeng;Yu Yin;Junwei Fan
    • Geomechanics and Engineering
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    • 재33권6호
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    • pp.597-609
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    • 2023
  • The instability and failure of engineered rock masses are influenced by crack initiation and propagation. Uniaxial compression and acoustic emission (AE) experiments were conducted on cracked sandstone. The effect of the crack's dip on the crack initiation was investigated using fracture mechanics. The crack propagation was investigated based on stress-strain curves, AE multi-parameter characteristics, and failure modes. The results show that the crack initiation occurs at the tip of the pre-fabricated crack, and the crack initiation angle increases from 0° to 70° as the dip angle increases from 0° to 90°. The fracture strength kcr is derived varies in a U-shaped pattern as β increased, and the superior crack angle βm is between 36.2 and 36.6 and is influenced by the properties of the rock and the crack surface. Low-strength, large-scale tensile cracks form during the crack initiation in the cracked sandstone, corresponding to the start of the AE energy, the first decrease in the b-value, and a low r-value. When macroscopic surface cracks form in the cracked sandstone, high-strength, large-scale shear cracks form, resulting in a rapid increase in the AE energy, a second decrease in the b-value and an abrupt increase in the r-value. This research has significant theoretical implications for rock failure mechanisms and establishment of damage indicators in underground engineering.

Modelling the coupled fracture propagation and fluid flow in jointed rock mass using FRACOD

  • Zhang, Shichuan;Shen, Baotang;Zhang, Xinguo;Li, Yangyang;Sun, Wenbin;Zhao, Jinhai
    • Geomechanics and Engineering
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    • 제22권6호
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    • pp.529-540
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    • 2020
  • Water inrush is a major hazard for mining and excavation in deep coal seams or rock masses. It can be attributed to the coalescence of rock fractures in rock mass due to the interaction of fractures, hydraulic flow and stress field. One of the key technical challenges is to understand the course and mechanism of fluid flows in rock joint networks and fracture propagation and hence to take measures to prevent the formation of water inrush channels caused by possible rock fracturing. Several case observations of fluid flowing in rock joint networks and coupled fracture propagation in underground coal roadways are shown in this paper. A number of numerical simulations were done using the recently developed flow coupling function in FRACOD which simulates explicitly the fracture initiation and propagation process. The study has demonstrated that the shortest path between the inlet and outlet in joint networks will become a larger fluid flow channel and those fractures nearest to the water source and the working faces become the main channel of water inrush. The fractures deeper into the rib are mostly caused by shearing, and slipping fractures coalesce with the joint, which connects the water source and eventually forming a water inrush channel.

FRACOD를 이용한 취성 암석의 손상 및 파괴에 대한 경계요소 해석 (A Boundary Element Analysis for Damage and Failure Process of Brittle Rock using ERACOD)

  • 이희석
    • 터널과지하공간
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    • 제14권4호
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    • pp.248-260
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    • 2004
  • 응력 증가에 의한 취성 암석의 손상은 미세균열의 개시로부터 시작하여 각 개별 균열들의 전파 및 결합에 의해 거시적인 파괴면을 발생시킨다. 전통적으로 암반의 손상 및 파괴현상을 설명하기 위해 거시적인 파괴 기준이나 탄소성 모델과 같은 연속체적인 접근법이 주류를 이루어왔다. 하지만 개별적인 균열들의 개시와 전락 과정을 명시적으로 고려할 수 있다면 현상론적인 관점에서 보다 실제에 가까운 암석 손상 및 파괴 과정을 재현할 수 있을 것이다. 본 연구에서는 암석의 균열 진전 모델링을 위해 개발된 경계요소 코드인 FRACOD를 이용하여 암석의 손상 및 파괴 과정을 모사한 결과를 제시한다. 수치일축압축시험을 통해 개발된 모델의 적정성을 검증하고 암반의 치수효과를 고려한 현실적인 암석 파괴 과정을 재현하였다. 또한 이러한 접근법의 적용 사례로서, 실제 굴착이 진행중인 심부 수갱 암반 주변에서 심도와 암반 특성에 따라 균열 진전과 이에 따른 암반 손상의 범위를 예측한 결과를 제시하였다. 이 접근법은 취성도가 큰 암반에서 발생하는 안정성 문제에 대한 공학적인 해법을 찾는데 기여를 할 수 있을 것으로 기대된다.

Crack initiation and fragmentation processes in pre-cracked rock-like materials

  • Lee, Jooeun;Hong, Jung-Wuk
    • Geomechanics and Engineering
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    • 제15권5호
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    • pp.1047-1059
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    • 2018
  • This paper focuses on the cracking and fragmentation process in rock materials containing a pair of non-parallel flaws, which are through the specimen thickness, under vertical compression. Several numerical experiments are conducted with varying flaw arrangements that affect the initiation and tensile wing cracks, shear crack growth, and crack coalescing behaviors. To obtain realistic numerical results, a parallelized peridynamics formulation coupled with a finite element method, which is able to capture arbitrarily occurring cracks, is employed. From previous studies, crack initiation and propagation of tensile wing cracks, horsetail cracks, and anti-wing cracks are well understood along with the coalescence between two parallel flaws. In this study, the coalescence behaviors, their fragmentation sequences, and the role of an x-shaped shear band in rock material containing two non-parallel flaws are discussed in detail on the basis of simulation results strongly correlated with previous experimental results. Firstly, crack initiation and propagation of tensile wing cracks and shear cracks between non-parallel flaws are investigated in time-history and then sequential coalescing behavior is analyzed. Secondly, under the effect of varying inclination angles of two non-parallel flaws and overlapping ratios between a pair of non-parallel flaws, the cracking patterns including crack coalescence, fragmentation, and x-shaped shear band are investigated. These numerical results, which are in good agreement with reported physical test results, are expected to provide insightful information of the fracture mechanism of rock with non-parallel flaws.

공동을 포함하는 횡등방성 절리암반 모델의 압축 파괴거동 (Compressive Fracture Behaviors of Transversely Isotropic Jointed Rock Model with an Opening)

  • 사공명;김세철;유재호;박두희;이준석
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2009년도 춘계 학술발표회
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    • pp.58-63
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    • 2009
  • Biaxial compression test was conducted on a transversely isotropic synthetic jointed rock model for the understanding of the fracture behaviors of a sedimentary or metamorphic rocks with well developed bedding or foliation in uni-direction. The joint angles employed for the model are 30, 45, and 60 degrees to the horizontal, and the synthetic rock mass was made of early strength cement. From the biaxial compression test, initiation propagation of tensile cracks at norm to the joint angle was found. The propagated tensile cracks eventually developed rock blocks, which was dislodged from the rock mass. Furthermore, the propagation process of the tensile cracks varies with joint angle: lower joint angle model shows more stable and progressive tensile crack propagation. The experiment results were validated from the simulation by using discrete element method PFC 2D. From the simulation, as has been observed from the test, a rock mass with lower joint angle produces wider damage region and rock block by tensile cracks. In addition, a rock model with lower joint angle shows a progressive tensile cracks generation around the opening from the investigation of the interacted tensile cracks.

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균열 암반의 복합거동해석을 위한 열-수리-역학적으로 연계된 파괴역학 수치해석코드 개발 (Development of Thermal-Hydraulic-Mechanical Coupled Numerical Analysis Code for Complex Behavior in Jointed Rock Mass Based on Fracture Mechanics)

  • 김형목;박의섭;;신중호;김택곤;이승철;고태영;이희석;이진무
    • 터널과지하공간
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    • 제21권1호
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    • pp.66-81
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    • 2011
  • 암반 내 균열 생성, 진전, 파괴 등과 같은 지하 암반의 역학적 거동과 이들 균열을 통한 지하수 유동 및 온도 변화에 기인한 열응력이 역학적 거동에 미치는 상호작용을 모델링하기 위한 수치해석코드를 개발하였다. 개발된 수치해석코드에서는 기존의 2차원 FRACOD(Shen & Stephasson, 1993)에 열-역학 및 수리-역학 상호 거동을 모델링하기 위한 해석모듈을 개발하여 추가하였다. 열-역학 연계를 위해서는 가상열원법과 시간전진기법을 도입하였으며, 수리-역학 연계에서는 양해법에 의한 반복기법을 적용하였다. 수치해석결과와 해석해와의 비교를 통해 개발된 해석모듈의 유용성을 검증하고 해석사례를 통해 온도변화에 따른 열균열 발생 및 수압파쇄과정에서의 균열 진전 양상과 같은 절리암반 복합거동을 잘 표현할 수 있음을 확인하였다.

The investigation of rock cutting simulation based on discrete element method

  • Zhu, Xiaohua;Liu, Weiji;Lv, Yanxin
    • Geomechanics and Engineering
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    • 제13권6호
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    • pp.977-995
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    • 2017
  • It is well accepted that rock failure mechanism influence the cutting efficiency and determination of optimum cutting parameters. In this paper, an attempt was made to research the factors that affect the failure mechanism based on discrete element method (DEM). The influences of cutting depth, hydrostatic pressure, cutting velocity, back rake angle and joint set on failure mechanism in rock-cutting are researched by PFC2D. The results show that: the ductile failure occurs at shallow cutting depths, the brittle failure occurs as the depth of cut increases beyond a threshold value. The mean cutting forces have a linear related to the cutting depth if the cutting action is dominated by the ductile mode, however, the mean cutting forces are deviate from the linear relationship while the cutting action is dominated by the brittle mode. The failure mechanism changes from brittle mode with larger chips under atmospheric conditions, to ductile mode with crushed chips under hydrostatic conditions. As the cutting velocity increases, a grow number of micro-cracks are initiated around the cutter and the volume of the chipped fragmentation is decreasing correspondingly. The crack initiates and propagates parallel to the free surface with a smaller rake angle, but with the rake angle increases, the direction of crack initiation and propagation is changed to towards the intact rock. The existence of joint set have significant influence on crack initiation and propagation, it makes the crack prone to propagate along the joint.