• Journal of the Korean Geotechnical Society
• /
• v.17 no.2
• /
• pp.21-30
• /
• 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.

• Tunnel and Underground Space
• /
• v.21 no.5
• /
• pp.386-393
• /
• 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.

• Proceedings of the KSEEG Conference
• /
• 2000.04b
• /
• pp.233-234
• /
• 2000

• Economic and Environmental Geology
• /
• v.50 no.1
• /
• pp.61-71
• /
• 2017

The effects of joint density and size distribution on the hydrogeologic characteristics of jointed rock masses are addressed through numerical experiments based on the 2-D DFN (discrete fracture network) fluid flow analysis. Using two joint sets, a total of 51 2-D joint network system were generated with various joint density and size distribution. Twelve fluid flow directions were chosen every $30^{\circ}$ starting at $0^{\circ}$, and total of 612 $20m{\times}20m$ DFN blocks were prepared to calculate the directional block conductivity. Also, the theoretical block conductivity, principal conductivity tensor and average block conductivity for each generated joint network system were determined. The directional block conductivity and chance for the equivalent continuum behavior of the 2-D DFN system were found to increase with the increase of joint density or size distribution. However, the anisotropy of block hydraulic conductivity increases with the increase of density discrepancy between the joint sets, and the chance for the equivalent continuum behavior were found to decrease. The smaller the intersection angle of the two joint sets, the more the equivalent continuum behavior were affected by the change of joint density and size distribution. Even though the intersection angle is small enough that it is difficult to have equivalent continuum behavior, the chance for anisotropic equivalent continuum behavior increases as joint density or size distribution increases.

• Proceedings of the KSEG Conference
• /
• 2003.04a
• /
• pp.27-35
• /
• 2003

시추공에서 측정된 절리자료의 샘플링 편향오류를 보정하는 절차를 기술하였다. 시추공에서 절리의 방향이 관측될 수 있는 확률은 시추공에 대한 절리의 상대적인 방향 이외에도 절리의 크기, 절리의 모양 및 시추공의 반경 과 길이와 같은 요인에 의하여 결정될 수 있으며, 이러한 요인들에 의하여 나타날 수 있는 절리자료의 방향편향을 보정할 수 있는 방법론을 제시하였다 유한 길이의 시추공으로부터 산정된 절리의 간격분포는 샘플링 영역인 시추공 길이의 영향에 의한 산정치의 오류를 내포하고 있으며, 이에 대한 보정법을 고찰하였다.

• The Journal of Engineering Geology
• /
• v.16 no.4 s.50
• /
• pp.337-349
• /
• 2006

Seven hundred and fifty one fractures of the rhyolitic tuffaceous rock masses were mapped using 6 scanlines placed on rock slope exposures that were within 8.02 km of Busan-Ulsan highway. These data were analyzed to find the number of fracture sets that exist in the rock slopes and the probability distributions of orientation, spacing, trace length and fracture size in 3-D for each of the fracture sets. All the fracture set orientation distributions exhibit high variability. The Fisher distributions were found to be unsuitable to represent the statistical distribution of orientation for most of the fracture sets. The probability distributions, gamma, exponential and lognormal were found to be highly suitable to represent the distribution of spacing and semi-trace length of fracture sets. In obtain-ing these distributions, corrections were applied for sampling biases associated with spacing and trace length. The generated fracture system in 3-D was used to make predictions of fracture traces for each fracture set on 2-D win-dows. Developed stochastic 3-D fracture network for the rock mass was validated by comparing statistical proper-ties of the observed fracture traces on scanlines with the predicted fracture traces on the scanlines. This exercise fumed out to be successful.

• Tunnel and Underground Space
• /
• v.13 no.5
• /
• pp.344-352
• /
• 2003

The procedures to correct sampling biases for discontinuity data obtained from 1D survey line(borehole or scanline) is addressed. The Probability of intersection between the survey line and a circular discontinuity is considered, and a correction far orientation bias is developed assuming discontinuities as equivalent circular disks. The correction incorporates the effect of the angle between the direction of survey line and each discontinuity plane belonging to the discontinuity cluster, size of each discontinuity and length of the survey line. A procedure is provided to estimate unbiased discontinuity spacing parameters using the discontinuity spacing data based on the measurements carried out on a finite length of the survey line.

• Tunnel and Underground Space
• /
• v.26 no.3
• /
• pp.201-211
• /
• 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.

• Tunnel and Underground Space
• /
• v.12 no.4
• /
• pp.304-311
• /
• 2002

This study reports the influence of vocid geometry on fracture closure and permeability from numerical experiments. As the aperture distributions of rock fractures are characterized by statistical methods, synthetic fractures have successfully been simulated in this way. Based on the generated fracture models, models for fracture closure and flow calculation have been developed. A fracture closure model has been developed by considering the asperity compression and half-space deformation, and flow calculations have been performed using a finite difference method adopting a local cubic law. The results of numerical experiments have shown that the increase in the aperture spatial correlation leads the fracture closure and the decrease in fracture permeability to increase. Also, it has been indicated that there is an implicit relation between fracture normal stiffness and permeability. The importance of this study is to enhance the understanding the hydro-mechanical behavior of fractured rock massed due to engineering projects.

• Tunnel and Underground Space
• /
• v.16 no.1 s.60
• /
• pp.26-37
• /
• 2006

This study addresses the applicability of box fractal dimension, $D_B$, as an index of statistical homogeneity of fractured rock mass. The box-count method's capability in quantifying the combined effect of fracture density and size distribution is examined systematically. Total of 129 two-dimensional fracture configurations were generated based on different combinations of fracture size distribution and fracture density. $D_B$was calculated for the generated fracture network systems using the box-counting method. It was found that was standard deviation of trace length and fracture orientation have no effect on calculated $D_B$. The estimated $D_B$ was found to increase with increasing total density and/or mean trace length. To explore the field applicability of this study, the statistical homogeneity of fractured rock mass was investigated at the rock slope and the underground facility using the box-counting method as well as conventional contingency table analysis. The results obtained in this study clearly show that the methodologies given in this paper have the capability of determining the statistical homogeneity of fractured rock mass.