Browse > Article

A Study of Statistical Analysis of Rock Joint Size and Intensity by Stereological Approach  

류동우 (지하정보기술(주), 부설기술연구소)
김영민 (쌍용자원개발(주)
이희근 (서울대학교 공과대학)
Publication Information
Tunnel and Underground Space / v.12, no.1, 2002 , pp. 10-18 More about this Journal
Abstract
Rock joint system makes a heavy effect on the behavior of rock structures. The definition of a 3D rock joint system is very important in 2D or 3D numerical analysis for the prediction of the behavior of a discontinuous rock mass. To enhance the reality of a 3D definition of rock joint system, it is essential to estimate the unbiased statistics of basic geometric attributes of rock joints. In this study, we have proposed the statistical analysis and derived the related equations for an estimation of statistics of joint size and intensity. Geometry of rock joints in 3 dimensional space can be defined by the aggregate of location, size, orientation and intensity. The dimensional limit of survey method and its data makes 3D geometric attributes probabilistic. In the estimation of statistics of joint size, we have discussed the technique to correct the bias from a dimensional limit and derived the equation of 3D joint intensity by stereological approaches.
Keywords
3D rock joint system; dimensional limit; joint size; joint intensity; stereology;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Cruden, D. M., 1977, Describing the size of discontinuities, Int. J. Rock Mech. Min. Sci. & Geomech. Abstr., 14, 133-137   DOI   ScienceOn
2 Dershowitz, W. S., Herda, H., 1992, Interpretation of fracture spacing and intensity, 33rd U.S. Symp. on Rock Mechanics, Santa Fe, N. Mexico, A. A. Balkema, Rotterdam, 757-766
3 Laslett, G. M., 1982, Censoring and edge effects in areal and line transect sampling of rock joint traces, Math. Geol., 14(2), 125-140   DOI
4 Dershowitz, W. S. and Einstein, H. H., 1988, Characterizing rock joint geometry with joint system models, Rock Mech. and Rock Engng., 21, 21-51   DOI   ScienceOn
5 Mauldon, M., 1998, Estimating mean fracture trace length and density from observations in convex windows, Rock Mech. and Rock Engng., 31(4), 201-216   DOI   ScienceOn
6 Baecher, G. B. and Einstein, H. H., 1980, Progressively censored sampling of rock joints traces, Math. Geol., 12(1), 33-40   DOI
7 Pahl, P. J., 1981, Estimating the mean length of discontinuity traces, Int. J. Rock Mech. Min. Sci. & Geomech. Abstr., 18, 221-228   DOI   ScienceOn
8 Villaescusa, E. and Brown, E. T., 1992, Maximum likelihood estimation of joint size from trace length measurement, Rock Mech. and Rock Engng., 25, 67-87   DOI
9 O'Sullivan, 1986, A statistical perspective on ill-posed inverse problems, Statistical Science, 1(4), 502-527   DOI   ScienceOn
10 Warburton, P. M., 1980b, Stereological interpretation of joint trace data : influence of joint shape and implication for geological surveys, Int. J. Rock Mech. Min. Sci. & Geomech. Abstr., 17, 305-316   DOI   ScienceOn
11 Underwood, E. E., 1970, Quantitative Stereology, Addison-Wesley Publishing Company, 274p
12 Warburton, P. M., 1980a, Stereological interpretation of joint trace data, Int. J. Rock Mech. Min. Sci. & Geomech. Abstr., 17, 181-190   DOI   ScienceOn
13 Kulatilake, P. H. S. W., Wu, T. H., 1984, The density of discontinuity traces in sampling windows, Int. J. Rock Mech. Min. Sci. & Geomech. Abstr., 21, 345-347   DOI   ScienceOn
14 류동우, 이유리 , 장윤섭 , 이희근, 박형동, 2000, 화상처리 및 입체사진측량학을 이용한 암반 절리 조사 시스템, 터널과 지하공간, 10(3), 329-343
15 Kendall, M. G. and Stuart, A., 1963, The Advanced Theory of Statistics, Hafner, New York, 433p
16 Priest, S. D. and Hudson, J. A., 1981, Estimation of discontinuity spacing and trace length using scanline Surveys, Int. J. Rock Mech. Min. Sci. & Geomech. Abstr., 18, 183-197   DOI   ScienceOn