• 제목/요약/키워드: 3-dimensional rock stress

검색결과 83건 처리시간 0.026초

암석파괴역학에 의한 3차원 절리면의 진행성 파괴 모델 (A Three-Dimensional Progressive Failure Model for Joints Considering Fracture Mechanics and Subcritical Crack Growth in Rock)

  • 김치환
    • 터널과지하공간
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    • 제19권2호
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    • pp.86-94
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    • 2009
  • 암석파괴역학과 파괴인성(rock fracture toughness) 이하의 응력확대계수(stress intensity factor)에서 균열이 성장하는 현상을 이용하여 암석 절리면의 비선형 강도특성과, 시간의 경과에 따라 파괴가 진행되는 특성을 고려한 수치해석용 3차원 절리면 요소를 개발하였다. 이 절리면 요소를 사용하여 암석 절리면 전단시험을 수치해석으로 모사한 결과, 전단응력이 증가하고 시간이 경과함에 따라 절리면 사이에 연결된 절리면 내 접점(asperity in joint)에서 암석의 파괴인성보다 응력확대계수가 작음에도 불구하고 균열이 발생하였고 시간이 경과하면서 균열이 성장, 절리면 내 접점이 파괴되었다. 이와 같이 각각의 절리면 내 접점의 파괴에 따라 절리면의 강도는 감소하고, 절리면의 전단응력은 응력경화와 응력연화 후 잔류응력에 도달하는 비선형거동을 보이면서 시간의 경과에 따라 점진적으로 파괴되었다.

3차원 유한요소법을 이용한 터널 막장 주위에서의 응력 재분배 해석에 관한 연구 (An Analysis for the Stress Redistribution around Tunnel Face Using Three-Dimensional Finite Element Method)

  • 문선경;이희근
    • 터널과지하공간
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    • 제5권2호
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    • pp.95-103
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    • 1995
  • In this paper the stress redistribution around tunnel face was analyzed by using a three-dimensional finite element model. The effects of in-situ stress levels, excavation sequences, stiffness difference between the hard ground and the weak zone on the stress redistributions were considered. Displacement and stress changes at tunnel crown, side wall, and invert were investigated throughout the sequential excavation. To show ground response, percentage of the displacement and stress variations are used as a function of normalized distance that is between the face and monitoring section. Preceding displacements and stress variations were presented to be adopted in the two-dimensional tunnel analysis.

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A new extended Mohr-Coulomb criterion in the space of three-dimensional stresses on the in-situ rock

  • Mohatsim Mahetaji;Jwngsar Brahma;Rakesh Kumar Vij
    • Geomechanics and Engineering
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    • 제32권1호
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    • pp.49-68
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    • 2023
  • The three-dimensional failure criterion is essential for maintaining wellbore stability and sand production problem. The convenient factor for a stable wellbore is mud weight and borehole orientation, i.e., mud window design and selection of borehole trajectory. This study proposes a new three-dimensional failure criterion with linear relation of three in-situ principal stresses. The number of failure criteria executed to understand the phenomenon of rock failure under in-situ stresses is the Mohr-Coulomb criterion, Hoek-Brown criterion, Mogi-Coulomb criterion, and many more. A new failure criterion is the extended Mohr-Coulomb failure criterion with the influence of intermediate principal stress (σ2). The influence of intermediate principal stress is considered as a weighting of (σ2) on the mean effective stress. The triaxial compression test data for eleven rock types are taken from the literature for calibration of material constant and validation of failure prediction. The predictions on rock samples using new criteria are the best fit with the triaxial compression test data points. Here, Drucker-Prager and the Mogi-Coulomb criterion are also implemented to predict the failure for eleven different rock types. It has been observed that the Drucker-Prager criterion gave over prediction of rock failure. On the contrary, the Mogi-Coulomb criterion gave an equally good prediction of rock failure as our proposed new 3D failure criterion. Based on the yield surface of a new 3D linear criterion it gave the safest prediction for the failure of the rock. A new linear failure criterion is recommended for the unique solution as a linear relation of the principal stresses rather than the dual solution by the Mogi-Coulomb criterion.

Experimental study on propagation behavior of three-dimensional cracks influenced by intermediate principal stress

  • Sun, Xi Z.;Shen, B.;Zhang, Bao L.
    • Geomechanics and Engineering
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    • 제14권2호
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    • pp.195-202
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    • 2018
  • Many laboratory experiments on crack propagation under uniaxial loading and biaxial loading have been conducted in the past using transparent materials such as resin, polymethyl methacrylate (PMMA), etc. However, propagation behaviors of three-dimensional (3D) cracks in rock or rock-like materials under tri-axial loading are often considerably different. In this study, a series of true tri-axial loading tests on the rock-like material with two semi-ellipse pre-existing cracks were performed in laboratory to investigate the acoustic emission (AE) characteristics and propagation characteristics of 3D crack groups influenced by intermediate principal stress. Compared with previous experiments under uniaxial loading and biaxial loading, the tests under true tri-axial loading showed that shear cracks, anti-wing cracks and secondary cracks were the main failure mechanisms, and the initiation and propagation of tensile cracks were limited. Shear cracks propagated in the direction parallel to pre-existing crack plane. With the increase of intermediate principal stress, the critical stress of crack initiation increased gradually, and secondary shear cracks may no longer coalesce in the rock bridge. Crack aperture decreased with the increase of intermediate principal stress, and the failure is dominated by shear fracturing. There are two stages of fracture development: stable propagation stage and unstable failure stage. The AE events occurred in a zone parallel to pre-existing crack plane, and the AE zone increased gradually with the increase of intermediate principal stress, eventually forming obvious shear rupture planes. This shows that shear cracks initiated and propagated in the pre-existing crack direction, forming a shear rupture plane inside the specimens. The paths of fracturing inside the specimens were observed using the Computerized Tomography (CT) scanning and reconstruction.

Three-Dimensional Modelling and Sensitivity Analysis for the Stability Assessment of Deep Underground Repository

  • Kwon, S.;Park, J.H.;Park, J.W.;Kang, C.H.
    • Nuclear Engineering and Technology
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    • 제33권6호
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    • pp.605-618
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    • 2001
  • For the mechanical stability assessment of a deep underground high-level waste repository. computer simulations using FLAC3D were carried out and important parameters including stress ratio, depth, tunnel size, joint spacing, and joint properties were chosen from sensitivity analysis. The main effect as well as the interaction effect between the important parameters could be investigated effectively using fractional factorial design . In order to analyze the stability of the disposal tunnel and deposition hole in a discontinuous rock mass, different modelings were performed under different conditions using 3DEC and the influence of joint distribution and properties, rock properties and stress ratio could be determined. From the three dimensional modelings, it was concluded that the conceptual repository design was mechanically stable even in a discontinuous rock mass.

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Analysis of permeability in rock fracture with effective stress at deep depth

  • Lee, Hangbok;Oh, Tae-Min;Park, Chan
    • Geomechanics and Engineering
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    • 제22권5호
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    • pp.375-384
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    • 2020
  • In this study, the application of conventional cubic law to a deep depth condition was experimentally evaluated. Moreover, a modified equation for estimating the rock permeability at a deep depth was suggested using precise hydraulic tests and an effect analysis according to the vertical stress, pore water pressure and fracture roughness. The experimental apparatus which enabled the generation of high pore water pressure (< 10 MPa) and vertical stress (< 20 MPa) was manufactured, and the surface roughness of a cylindrical rock sample was quantitatively analyzed by means of 3D (three-dimensional) laser scanning. Experimental data of the injected pore water pressure and outflow rate obtained through the hydraulic test were applied to the cubic law equation, which was used to estimate the permeability of rock fracture. The rock permeability was estimated under various pressure (vertical stress and pore water pressure) and geometry (roughness) conditions. Finally, an empirical formula was proposed by considering nonlinear flow behavior; the formula can be applied to evaluations of changes of rock permeability levels in deep underground facility such as nuclear waste disposal repository with high vertical stress and pore water pressure levels.

Mohr-Coulomb 파괴곡면에 근사하는 암석의 3차원 파괴조건식 고찰 (Study on a 3-Dimensional Rock Failure Criterion Approximating to Mohr-Coulomb Surface)

  • 이연규
    • 터널과지하공간
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    • 제21권2호
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    • pp.93-102
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    • 2011
  • 암석의 파괴조건식으로 Mohr-Coulomb 및 Hoek-Brown 함수가 널리 이용되고 있으나 이들 함수는 중간주 응력을 고려할 수 없다는 단점이 있다. 최근의 연구결과에 의하면 암석의 파괴강도는 중간주응력의 크기에 많은 영향을 받는 것으로 나타났다. 따라서 주요 암반구조물의 안전설계를 위해서는 중간주응력이 고려된 3차원 암석파괴조건식이 도입될 필요성이 있다. 이 연구에서는 주응력좌표계의 자오면에서 선형으로 나타나며 또한 Mohr-Coulomb 파괴곡면의 모서리에 부드럽게 접하는 3차원 파괴함수인 Jiang & Pietruszczak(1988) 함수가 암석의 진삼축압축강도 예측에 활용될 수 있는 가능성에 대하여 논의하였다. Jiang & Pietruszczak 함수를 이용하여 실제 진삼축압축시험 결과를 모사함으로써 이 함수의 성능을 평가하였다.

삼차원 불연속 변형 해석(DDA)을 이용한 블록거동해석 (Block Deformation Analysis Using Three-dimensional Discontinuous Deformation Analysis(DDA))

  • 장현익;이정인
    • 터널과지하공간
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    • 제12권3호
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    • pp.158-170
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    • 2002
  • Shi가 개발한 불연속 변형 해석은 많은 발전이 있었지만 지금까지의 해석이 모두 평면변형률이나 평면응력을 가정한 이차원으로 이루어진 해석이다. 하지만 불연속면이 기본적으로 삼차원을 형성하므로 이차원으로 해석하는데는 한계가 있다. 삼차원의 불연속면이 안정성에 큰 영향을 미치는 사면, 지하 비축기지 등의 설계에서는 삼차원 해석에 대한 연구가 필요하다. 이에 이 연구에서는 기존 Shi가 개발한 이차원 불연속 변형 해석을 삼차원 불연속 변형 해석의 이론으로 확장하고 프로그램을 개발하여 실제 블록에 적용함으로써 개발된 이론과 프로그램의 타당성을 검증하였다. 개발한 프로그램을 이용하여 일정한 경사를 가진 블록의 미끄러짐과 쐐기의 미끄러짐을 해석하여 이론값과 정확히 일치하는 결과를 얻었다. 삼차원 이론확장과 검증을 바탕으로 향후 보다 많은 숫자의 블록에 적용하면서 해석을 할 것이다.

공벽변형법에 의한 이방성 암반의 초기응력 측정에 관한 연구 - 횡등방성 암석에 대한 실험실 모형 실험 및 수치해석 (A study on the In-situ Stress Measurement of Anisotropic Rocks by Leeman Method - An Experimental and Numerical Simulation on Transversely Isotropic Rock)

  • 민기복;이정인;최해문
    • 터널과지하공간
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    • 제12권4호
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    • pp.237-247
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    • 2002
  • 암반의 이방성이 초기응력 측정결과에 미치는 영향을 살펴보기 위하여 현지암반의 응력 상태를 실험실에서 이축상태로 재현하여 초기응력 측정을 실시하였다. 이축가압장치는 플랫잭(flat jack)을 이용하여 제작하였으며, 등방성과 이방성 암석, 모르타르 및 인공이방성 암석 등 4 종류의 시료에 대하여 총 18회의 초기응력 측정을 실시하였다. 초기응력 측정 결과 이방성을 고려한 경우가 고려하지 않은 경우에 비해 최고 34%의 차이가 발생함으로써 이방성을 고려한 초기응력 측정이 필요함을 확인하였다. 또한 3차원 유한차분해석 프로그램인 FLAC 3D를 이용하여 오버코어링에 따른 응력개방곡선의 적합성에 대한 분석을 실시하여 실험실 모형실험의 결과가 수치해석에 의한 결과와 유사함을 확인하였다.

Pilot 공벽변형법에 의한 암반응력 측정 장비의 개발 (Development of Rock Stress Measurement Probe Based on The Pilot Hole Wall Deformation Method)

  • 이기하;석도 양이;구호본;김승현
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2009년도 춘계 학술발표회
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    • pp.1125-1132
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    • 2009
  • The theory and a probe of the pilot hole wall deformation method, which is a 3-dimensional stress measurement method based on the stress relief principle, were developed. A pilot hole is drilled from the bottom of a borehole and the stress measurement probe is inserted into the pilot hole. The borehole is advanced as the overcoring and the changes in the radius of the pilot hole in three directions and in the axial lengths between the borehole bottom and the pilot hole wall along four axial lines are measured by cantilever type-displacement sensors. The differences between the displacements by the elastic stress analysis and those measured by using the probe were within 3% in the uniaxial compression test of an acrylic resin plate having a hole.

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