• Title/Summary/Keyword: 균열텐서

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Analysis of Relationship between 2-D Fabric Tensor Parameters and Hydraulic Properties of Fractured Rock Mass (절리성 암반의 이차원 균열텐서 파라미터와 수리적 특성 간의 상관성 분석에 관한 연구)

  • Um, Jeong-Gi;Han, Jisu
    • Tunnel and Underground Space
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    • v.27 no.2
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    • pp.100-108
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    • 2017
  • As a measure of the combined effect of fracture geometry, the fabric tensor parameters could quantify the status of the connected fluid flow paths in discrete fracture network (DFN). The correlation analysis between fabric tensor parameters and hydraulic properties of the 2-D DFN was performed in this study. It is found that there exists a strong nonlinear relationship between the directional conductivity and the fabric tensor component estimated in the direction normal to the direction of hydraulic conductivity. The circular radial plots without significant variation of the first invariant ($F_0$) of fabric tensor for different sized 2-D DFN block are a necessary condition for treating representative element volume (REV) of a fractured rock mass. The relative error (ER) between the numerically calculated directional hydraulic conductivity and the theoretical directional hydraulic conductivity decreases with the increase in $F_0$. A strong functional relation seems to exist between the $F_0$ and the average block hydraulic conductivity.

이방성대수층에서의 투수량계수 텐서

  • 강철희;이대하;이철우;김용제;채병곤;우남칠
    • Proceedings of the Korean Society of Soil and Groundwater Environment Conference
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    • 2001.09a
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    • pp.172-175
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    • 2001
  • 이 연구에서는 5개의 시추공에 대한 양수시험을 실시하여 대수층의 수리학적 이방성과 지하수의 주 유동방향을 규명하고자 하였다. 코아검층 및 초음파주사검층을 통해 각각의 공에 대한 균열방향을 결정하고 이를 토대로 통합해본 결과 크게 세 방향의 균열군이 집중성을 보였다. 가장 빈도가 높은 균열의 방향은 N0$^{\circ}$~40$^{\circ}$E/30$^{\circ}$~50$^{\circ}$SE 그리고 N30$^{\circ}$~ 80 $^{\circ}$W/20$^{\circ}$~50$^{\circ}$ NE이 방향이 함께 나타났으며 두 번째 균열의 방향은 N0$^{\circ}$ ~50$^{\circ}$E/60$^{\circ}$ ~80$^{\circ}$NW로 나타났다. 세 번째 방향은 N30$^{\circ}$~50 $^{\circ}$W/70$^{\circ}$~80$^{\circ}$SW방향의 균열로 구성된다. 이처럼 지표하에서는 크게 세 방향의 균열이 다른 방향을 보이는 균열에 비해 상대적으로 큰 빈도를 가지며 발달하고 있음을 알 수 있다. 대수층이 이방성이고 균질하다는 가정하에 양수시험을 실시하여 각각의 공에 대한 최대 투수량계수 ( $T_{{\varepsilon}{\varepsilon}}$)와 최소 투수량계수 ( $T_{ηη}$)값을 산출하고 주 텐서방향 ($\theta$)을 결정하였다. 그 결과 BH-1, BH-4, BH=5공을 제외한 BH-2, BH-3호공에서의 이방성 투수량계수텐서값은 이 논문의 가정인 대수층이 이방성이고 균질하다는 가정에 일치하지 않았다. 따라서 원형좌표계에 도시하였을 때 다른 공에 비해서 비균질성이 심한 결과로 인해 이방성타원체 에서 많이 벗어남을 보였다. 이로인해 3개의 공 BH-1, BH-4, BH-5호공을 사용하여 대수층의 이방성을 분석하여 보았다. BH-1호공에서의 $T_{{\varepsilon}{\varepsilon}}$는 171.90 $m^2$/day, $T_{ηη}$는 71.0l $m^2$/day이고 주 텐서방향은 Nl5.39$^{\circ}$ E로 나타났다. BH-4호공의 $T_{{\varepsilon}{\varepsilon}}$는 268.20 $m^2$/day, $T_{ηη}$는 28.75 $m^2$/day이고 주 텐서방향은 N7.55$^{\circ}$E이며 BH-5호공에서의 $T_{{\varepsilon}{\varepsilon}}$는 168.40 $m^2$/day, $T_{ηη}$는 66.80 $m^2$/day이고 주 텐서방향은 N76.59$^{\circ}$E로 나타났다. 이처럼 연구지역에서의 각각의 공에 대한 투수량계수텐서는 서로 다르게 나타났으며 이에 따른 주 텐서방향도 서로 다름을 알 수 있다.

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금산지역 균열암반 대수층에서의 수리이방성 해석

  • 강철희;이철우;김용제;김구영;조용찬
    • Proceedings of the Korean Society of Soil and Groundwater Environment Conference
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    • 2003.04a
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    • pp.221-224
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    • 2003
  • 이 연구는 국내의 균열암반에 대한 지하수 유동 연구가 대수층이 등방이라는 가정하에 진행피고 있는 방법에서 벗어나 대수층이 이방성을 띤다는 가정하에 대수층의 수리적 이방성을 해석하는데 중점을 두었다. 수리시험은 30.91 $m^3$/day로 BH-1공에서 300분간 양수였으며, 각각의 관측공 BH-2, BH-3, BH-4, 및 BH-5공에서 시간에 따른 수위강하를 관측하였다. 수리시험에 의해 얻어진 시간별 수위강하 자료를 이용하여 Jacob(1950)의 직선법에 의해서 직선의 기울기(m)와 수위강하가 영이 되는 지점에서의 시간( $t_{0}$)을 계산하였다. 대수층의 수리학적 이방성 텐서 (tensor) 즉, 최대투수량계수텐서 ( $T_{ξξ}$)와 최소투수량계수텐서 ( $T_{ηη}$)를 산출하기 위해서 Stewart(1973)에 의해서 정립된 정규최소제곱(Ordinary least-square)방법을 적용하였으며, 이 방법은 관측공이 최소한 4개를 필요로 한다. 그 결과로, $T_{ξξ}$는 12.21 $m^2$/day이고 $T_{ηη}$는 10.47 $m^2$/day로 산출되었다. 최대투수량계수텐서의 방향은 Nl9.13$^{\circ}$E 이고 이방성율은 1.17로 산출되었다. BH-1공에서 수리시험시 대수층의 이방성은 등방성에 가깝게 표현되었다. 이는 연구지역 대수층이 다수의 균열에 의해서 수리적 상호연결성이 고루 분포된 것으로 판단된다.

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An Experimental Study on Crack Propagation in KURT Granite using Acoustic Emission (음향방출기법을 이용한 KURT 화강암의 균열 발생 특성에 관한 실험적 연구)

  • Lee, Kyung-Soo;Kim, Jin-Seop;Choi, Jong-Won;Lee, Chang-Soo
    • The Journal of Engineering Geology
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    • v.21 no.4
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    • pp.295-304
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    • 2011
  • The first step in improving our understanding of uncertainties suclt as rock mass strength parameters and deformation modulus in rock masses around high-level radioactive waste disposal repositories, for improved safety, is to study the process of crack development in intact rock. Therefore, in this study, the fracture process and crack development were examined in samples of KURT granite taken from the KAERI Underground Research Tunnel (KURT), based on acoustic emission (AE) and moment tensor analysis. The results show that crack initiation, coalescence, and unstable crack occurred at rock uniaxial compressive strengths of 0.45, 0.73, and 0.84, respectively. In addition, moment tensor analysis indicated that during the early stage of loading, tensile cracks were predominant. With increasing applied stress, the number of shear cracks gradually increased. When the applied stress exceeded the stress level required for crack damage, unstable shear cracks which directly result in failure of the rock were generated along the failure plane.

Source Mechanism of an Explosive Eruption at White Island Volcano, New Zealand, Determined from Waveform Inversions (모멘트 텐서를 이용한 White Island 화산분화 지진원 메커니즘 분석)

  • Han, Arim;Kim, Keehoon;Kim, Ki Young
    • Geophysics and Geophysical Exploration
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    • v.17 no.2
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    • pp.58-65
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    • 2014
  • We studied the source mechanisms of very-long-period event recorded at seismic station WIZ near White Island Volcano, New Zealand on August 4, 2012. Since seismic data at only one station were available, we conducted moment tensor inversion using three simplified models (explosion, crack, and pipe models). To constrain the moment tensor solution of seismic event, we computed synthetic data for each model to compare with observed data. Type and orientation for the best model is a crack at a depth of 1600 m with a dip of $80^{\circ}NE$ and a strike of $N80^{\circ}W$. We interpret that a deep explosion may have opened a crack for gases to escape, and the upward gas flow triggered the surface explosions four hours later as confirmed by a webcam. The interpretation based on moment tensor inversion is consistent with previous studies of geochemical data of the volcanic island.

Global Behavior Analyses of Structures with Damages Using a Modified Second Order Damage Tensor (수정된 2차손상텐서를 이용한 손상된 구조체의 거동해석)

  • 이상호;이형기;허용학
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.13 no.2
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    • pp.257-270
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    • 2000
  • The objective of this study is to develop a damage model based on damage mechanics that can be used to analyze the mechanical behavior of structures with defects and the global behavior of damaged structures. A modified second order damage tensor that can be applied to finite element analysis is used to reflect the effect of damage. The damage stress computed from the effective stress is considered as an additional loading term acting on nodes and can represent the effect of crack surface. The accuracy of the proposed algorithm is verified by comparing the analysis results with the experimental data from other studies and the analysis results based on transverse isotropic theory. The developed damage model is applied to the analyses of structures with cracks under linear elastic condition. The comparisons confirmed that the quantitative analysis of the structural behavior due to crack orientation and multiple sets of cracks is possible. Also, the damage caused by rock excavation and fault zone is analyzed. The results also showed that the developed model can effectively analyze the global behavior of damaged structures.

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Crack detection system for exterior wall in a drone camera image using YOLO deep learning technique (YOLO 딥러닝 기법을 이용한 드론카메라 영상 내 건물 외벽 균열 검출 시스템)

  • Yun, Tae-Jin;Jeon, Jin-Woo;Ko, Byung-Yoon;Woo, Hyun-Koo
    • Proceedings of the Korean Society of Computer Information Conference
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    • 2019.01a
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    • pp.303-304
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    • 2019
  • 본 논문에서는 자연재해나 노후화로 인해 많은 건물의 외벽에 균열(Crack)이 생기고 있고, YOLO 딥러닝 기법을 이용하여 텐서플로우(Tensorflow)기반 균열 데이터의 학습 과정을 거쳐 가중치 파일을 획득하고, 이를 기반으로 효율적으로 건물 관리를 할 수 있는 드론(Drone)에 장착된 카메라를 이용한 실시간 영상으로 건물 외벽 균열을 촬영하고 균열을 감지하여 사용자 모니터에 감지된 균열을 경계 상자를 통해 검출하고, 검출 사진과 위치를 기록하도록 시스템을 개발하였다.

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Comparison of Two- and Three-dimensional Approaches for the Numerical Determination of Equivalent Mechanical Properties of Fractured Rock Masses (균열암반의 역학적 등가물성의 수치해석적 결정을 위한 2차원 및 3차원 해석의 비교)

  • Min, Ki-Bok;Thoraval, Alain
    • Tunnel and Underground Space
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    • v.22 no.2
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    • pp.93-105
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    • 2012
  • This paper compares the two- and three-dimensional (2D and 3D) approaches for the numerical determination of the equivalent mechanical properties of fractured rock masses. Both orthogonally-fractured model and discrete fracture networks (DFN) were used for the geometry and 2D models were cut in various directions from 3D model to compare their mechanical properties. Geological data were loosely based on the data available from Sellafield, UK. Analytical method based on compliance tensor transformation was used for investigation in orthogonally fractured rock and numerical experiments were conducted on fractured rock mass with DFN geometry. It is shown that 2D approach always overestimates the elastic modulus of fractured rock masses by a factor of up to around two because fractures are assumed to be perpendicular to the model plane in 2D problems. Poisson ratios tend to have larger values in 2D analysis while there is opposite trend in some sections. The study quantitatively demonstrates the limitation of the 2D approach that uses the simplified model from true 3D geometry.

Characteristics of Block Hydraulic Conductivity of 2-D DFN System According to Block Size and Fracture Geometry (블록크기 및 균열의 기하학적 속성에 따른 2-D DFN 시스템의 블록수리전도도 특성)

  • Han, Jisu;Um, Jeong-Gi
    • Tunnel and Underground Space
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    • v.25 no.5
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    • pp.450-461
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    • 2015
  • Extensive numerical experiments have been carried out to investigate effect of block size and fracture geometry on hydraulic characteristics of fractured rock masses based on connected pipe flow in DFN systems. Using two fracture sets, a total of 72 2-D fracture configurations were generated with different combinations of fracture size distribution and deterministic fracture density. The directional block conductivity including the theoretical block conductivity, principal conductivity tensor and average block conductivity for each generated fracture network system were calculated using the 2-D equivalent pipe network method. There exist significant effects of block size, orientation, density and size of fractures in a fractured rock mass on its hydraulic behavior. We have been further verified that it is more difficult to reach the REV size for the fluid flow network with decreasing intersection angle of two fracture sets, fracture plane density and fracture size distribution.

Application of Nonlocal Anisotropic Damage Model for the Reinforced Concrete Structures (철근콘크리트 구조물에 대한 비국소 이방성 손상모델의 적용)

  • Woo, Sang Kyun;Kwon, Yong Gil;Han, Sang Hoon
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.30 no.3A
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    • pp.309-316
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    • 2010
  • This paper proposed a nonlocal anisotropic damage model to simulate the behavior of plain and reinforced concrete structures that are predominantly tensile and compressive load. This model based on continuum damage mechanics, used a symmetric second-order tensor as the damage variable. For quasi-brittle materials, such as concrete, the damage patterns were different in tension and in compression. These two damage states were modeled by damage evolution laws ensuring a damage tensor rate proportional to the total strain tensor in terms of principal components. To investigate the effectiveness of proposed model, the double edge notched specimen experimented by nooru-mohamed and reinforced concrete bending beam were analyzed using the implementation of the proposed model. As the results for the simulation, the nonlocal anisotropic damage model with an adequate control of rupture correctly represented the crack propagation for mixed mode fracture. In the structural failure of reinforced concrete bending beam, the proposed model can be showed up to a very high damage level and yielding of the reinforcements.