• Title/Summary/Keyword: Joint length distribution

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A Study for the Estimation of Joint Diameter Distribution Using the Trace Length Distribution from Cylindrical Window Survey (원통형조사창에서의 절리선 길이분포를 이용한 암반 내 절리직경분포 추정에 관한 연구)

  • Jeon, Ki-Hwan;Song, Jae-Joon;Jo, Young-Do
    • Tunnel and Underground Space
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    • v.21 no.5
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    • pp.386-393
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    • 2011
  • This study suggests an algorithm for estimating joint diameter distribution in rock mass from the joint trace length distribution around a circular tunnel. For estimating the joint diameter distribution, the concept of Joint Center Volume (JCV) suggested by Song. (2005) was applied and the calculation method of JCV for the cylindrical window survey was developed by using the complete survey method. The estimated joint diameter distribution was verified against the original joint diameter distribution by Monte-Carlo simulation. It was observed that the estimated joint diameter distribution was converged to the original joint diameter distribution with less than 20% of error.

A Study on the Estimation of Diameter Distribution and Volumetric Frequency of Joint Discs Using the Least Square Method (최소자승법을 이용한 원판형 절리의 직경분포와 체적빈도 추정에 관한 연구)

  • Song Jae-Joon
    • Tunnel and Underground Space
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    • v.15 no.2 s.55
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    • pp.137-144
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    • 2005
  • An estimation technique of the joint diameter distribution using the least square method is suggested. When utilizing the technique by Song and Lee, the diameter distribution would be obtained only from the trace length distribution defined in an infinite window after the trace length distribution is estimated from the contained trace length distribution. With the new technique, however, the diameter distribution can be directly obtained from the sample histogram of the contained trace lengths. Compared with the previous technique, it shows a more accurate result for small sizes of joint samples and provides the joint geometry parameter of volumetric frequency. Verification of this new technique was completed by using Monte Carlo simulations.

The joint queue length distribution in the nonpreemptive priority M/G/1 queue (비선점 우선순위 M/G/1 대기행렬의 결합 고객수 분포)

  • Kim Gil-Hwan;Chae Gyeong-Cheol
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2006.05a
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    • pp.1104-1110
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    • 2006
  • In this paper we present a simple approach to the joint queue length distribution in the nonpreemptive priority M/G/1 queue. Without using the supplementary variable technique, we derive the joint probability generating function of the stationary queue length at arbitrary time.

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The FEM Analysis of Recessing Location on the Stress Distribution in Aluminum Double Lap Joint

  • You, Min;Yan, Zhanmou;Zheng, Xiaoling;Yu, Haizhou
    • Journal of Adhesion and Interface
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    • v.7 no.4
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    • pp.13-17
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    • 2006
  • The elasto-plastic finite element method (FEM) was used to investigate the effect of off-center recessing location (8 mm length) on the stress distribution in the lap zone of adhesively bonded aluminium double lap joint. The results from simulation showed that the effect of off-cent recessing in bondline of double lap joint in the mid-bondline is not evidently to stress distribution in mid-bondline but the peak stresses both in mid-bondline and in the interface near the adherend side of the joint may increase markedly when an 8 mm length recessing was arranged symmetrical to the point of x =18 mm. When shifting an 8 mm length recess from near left end to the right end of the lap zone, all the highest peak stresses in the mid-bondline occurred under the condition of recess arranged symmetrical to the point of x = 6 mm.

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Estimation of Joint Size Distribution Using a Contained Trace Length Distribution in a Cylindrical Window (원통형 조사창에서의 양끝내포선 길이분포를 이용한 절리크기분포 추정 연구)

  • Suh, Ga Hyun;Song, Jae-Joon
    • Tunnel and Underground Space
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    • v.26 no.3
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    • pp.201-211
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    • 2016
  • A method for estimating rock joint size distribution using contained traces length distribution from 3D cylindrical window survey was suggested. To reduce the numerical error, an improved technique was applied. The accuracy was verified by referring to Monte-Carlo simulation and it was found that the error can be decreased with suitable gamma values.

Study on the Estimation of Joint Length Distribution Using Window Sampling (조사창 조사를 이용한 절리 길이분포의 추정에 관한 연구)

  • 송재준;이정인
    • Journal of the Korean Geotechnical Society
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    • v.17 no.2
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    • pp.21-30
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    • 2001
  • 통계적 절리모델링에서 가장 불확실성이 큰 부분이 절리의 길이분포를 추정하는 것이다. 절리선 길이 분포의 추정에서 이제까지는 주로 조사선 조사(scanline survey)를 통한 절리선 반길이 분포를 이용하여 왔다. 이 연구에서는 포이송 디스크 절리모델에 대하여 보다 정밀도가 높은 절리선 길이 분포 추정방법을 찾기 위하여 조사창 조사를 이용하였다. 직사각형 및 원형 조사창에 대하여 양쪽 끝이 조사창 내부에 존재하는 절리선인 양끝내포선의 길이 분포와 한쪽 끝만이 존재하는 한끝내포선의 길이 분포를 이용, 절리선 분포를 추정하는 4개의 관계식을 각각 유도하고 컴퓨터 모의실험을 통하여 유도식의 타당성을 검증한 후 각 유도식을 이용한 절리선 분포의 추정오차를 비교하였다. 또한 절리선 분포로부터 절리직경분포를 계산하는 수치적 해를 유도하고 컴퓨터 모의시험을 통해 수치적 해에 대한 타당성을 검증하였다. 이 연구에서 제시한 조사창 조사를 이용한 절리 길이의 추정방법은 앞으로 절리모델링 분야에서 적용성이 높을 것으로 판단된다.

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A study on the stability of Keyblock in underground excavation with consideration of joint persistence (절리 영속성을 고려한 지하굴착에서의 Keyblock 안정성 고찰)

  • 조태진;김석윤
    • Tunnel and Underground Space
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    • v.8 no.4
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    • pp.351-358
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    • 1998
  • A statistical method for assessing the joint persistence based on the in-situ measurement of joint trace length has been derived. This method utilizes the probability density distribution of either the joint trace length or the diameter of hypothetically circular joint diameter depending on the relative size of joint surface to that of the potential keyblock. The stability of potential keyblock with different sizes and joint persistences has been also calculated to illustrate the applicability of the developed method to the design and the safe excavation of large scale underground openings.

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The Simulation of Notch Length on the Stress Distribution in Lap Zone of Single Lap Joint with a Centered Notch

  • Yan, Zhanmou;You, Min;Yi, Xiaosu;Zheng, Xiaoling
    • Journal of Adhesion and Interface
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    • v.7 no.4
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    • pp.18-23
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    • 2006
  • The influence of the notch length on the stress distribution of mid-bondline and adherend was investigated using elasto-plastic finite element method. The results from the simulation showed that peak stress of mid-bondline decreased markedly as adherend with notch in the middle of lap zone, and the stress in the middle of joint with low stress originally increased evidently. All the peak stresses decreased firstly and increased again as the length of notch increased. The relative higher peak stress appeared at the point near the notch of adherend where might be failed previously during the loading procedure.

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Influence of Joint Spacing to Rock Slope Stability (절리 간격이 암반 사면의 안정성에 미치는 영향)

  • 윤운상;권혁신;김정환
    • Proceedings of the Korean Geotechical Society Conference
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    • 2000.11a
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    • pp.511-518
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    • 2000
  • Characteristics of joint orientation, length, spacing and their distribution are very important factors for slope stability, Especially, the effect of joint spacing is an essential factor of slope stability. This study is to analyze the effect of joint spacing in cases of sliding and toppling, which is a typical failure mode. Joint spacing can divided into vertical spacing(spacing) and horizontal spacing(gap). And then, the spacing/length ratio of joint directly affect rock slope failure. When the ratio is below 0.05, the possibility of failure is rapidly increased. In case of toppling, the possibility of failure depends on the ratio of spacing to height of slope ratio slope. As the ratio decreases, the possibility of toppling failure increased. The critical ratio of spacing to height of slope is determined by the dip angle of the slope and the orientation of joint sets.

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DISCRETE-TIME QUEUE WITH VARIABLE SERVICE CAPACITY

  • LEE YUTAE
    • Journal of the Korean Mathematical Society
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    • v.42 no.3
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    • pp.517-527
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    • 2005
  • This paper considers a discrete-time queueing system with variable service capacity. Using the supplementary variable method and the generating function technique, we compute the joint probability distribution of queue length and remaining service time at an arbitrary slot boundary, and also compute the distribution of the queue length at a departure time.