Estimating the intensity of rock discontinuities

International Journal of Rock Mechanics and Mining Sciences

Volumn 37, Issue 5, 2000, Pages 819-837

  Zhang, Lianyang ^a   Einstein, H H ^a  

^a Massachusetts Institute of Technology Cambridge   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOREHOLES; COMPUTER SIMULATION; ESTIMATION; FRACTURE MECHANICS; NUMERICAL METHODS; PROBABILITY DISTRIBUTIONS; TENSORS;

FRACTURE TENSORS; ROCK DISCONTINUITY;

ROCK MECHANICS;

DISCONTINUITY; FRACTURE GEOMETRY; ROCK MASS RESPONSE;

EID: 0033940091     PISSN: 01489062     EISSN: None     Source Type: Journal    
DOI: 10.1016/s1365-1609(00)00022-8     Document Type: Article

References (36)

1. Priest S.D. Discontinuity analysis for rock engineering. 1993;Chapman and Hall, London.
2. Warburton P.M. A stereological interpretation of joint trace data. Int. J. Rock Mech. Min. Sci. and Geomech. Abstr. 17:1980;181-190.
3. Mauldon M. Estimating mean fracture trace length and density from observations in convex windows. Rock Mechanics and Rock Engineering. 31:1998;201-216.
4. Zhang L., Einstein H.H. Estimating the mean trace length of rock discontinuities. Rock Mechanics and Rock Engineering. 31:1998;217-235.
5. Villaescusa E., Brown E.T. Maximum likelihood estimation of joint sizes from trace length measurements. Rock Mechanics and Rock Engineering. 25:1992;67-87.
6. Villaescusa E. Statistical modeling of rock jointing. Proceedings of the Conference on Probabilistic Methods in Geotechnical Engineering, Canberra, Australia. 1993;221-231.
7. Mauldon M., Mauldon J.G. Fracture sampling on a cylinder: from scanline to boreholes and tunnels. Rock Mechanics and Rock Engineering. 30:1997;129-144.
8. Priest S.D., Hudson J. Discontinuity spacing in rock. Int. J. Rock Mech. Min. Sci. and Geomech. Abstr. 13:1976;135-148.
9. Baecher G.N., Lanney N.A., Einstein H.H. Statistical description of rock properties and sampling. Proceedings of the 18th US Symposium on Rock Mechanics. 1977;5C1-5C8.
10. Kulatilake P.H.S.W. Application of probability and statistics in joint network modeling in three dimensions. Proceedings of the Conference on Probabilistic Methods in Geotechnical Engineering, Canberra, Australia. 1993;63-87.
11. Wathugala DN. Stochastic three dimensional joint geometry modeling and verification. Ph.D. dissertation, University of Arizona, Tucson, 1991.
12. Robertson A. The interpretation of geologic factors for use in slope theory. Proceedings of the Symposium on the Theoretical Background to the Planning of Open Pit Mines, Johannesburg, South Africa. 1970;55-71.
13. Bridges M.C. Presentation of fracture data for rock mechanics. Proceedings of the 2nd Australia-New Zealand Conference on Geomechanics, Brisbane. 1975;144-148.
14. Einstein HH, Baecher GB, Veneziano D. Risk Analysis for Rock Slopes in Open Pit Mines, Parts I-V, USBM Technical Report J0275015, Department of Civil Engineering, MIT, 1979.
15. Barton CM. Geotechnical analysis of rock structure and fabric in CSA Mine NSW. Applied Geomechanics Technical Paper 24, Commonwealth Scientific and Industrial Research Organization, Australia, 1977.
16. Call R.D., Savely J.P., Nicholas D.E. Estimation of joint set characteristics from surface mapping data. Proceedings of the 17th US Symposium on Rock Mechanics, 2B2. 1976;1-9.
17. Meyer T, Einstein HH, Ivanova V. Geologic stochastic modeling of fracture systems related to crustal faults. In: Proceedings of the International Congress of the IRSM, Paris, vol. 1, 1999. pp. 493-498.
18. Laslett G.M. Censoring and edge effects in areal and line transect sampling of rock joint traces. Mathematical Geology. 14:1982;125-140.
19. Kulatilake P.H.S.W., Wathugala D.N., Stephansson O. Stochastic three dimensional joint size, intensity and system modeling and a validation to an area in Stripa Mine, Sweden. Soils and Foundations. 33:1993;55-70.
20. Priest S.D., Hudson J. Estimation of discontinuity spacing and trace length using scanline surveys. Int. J. Rock Mech. Min. Sci. and Geomech. Abstr. 18:1981;183-197.
21. Kulatilake P.H.S.W., Wu T.H. Estimation of mean trace length of discontinuities. Rock Mechanics and Rock Engineering. 17:1984;215-232.
22. Baecher GN, Lanney NA. Trace length biases in joint surveys. In: Proceedings of the 19th US Symposium on Rock Mechanics, vol. 1, 1978. pp. 56-65.
23. Davis G.H., Reynolds S.J. Structural geology of rocks and regions. 1996;Wiley, New York, NY.
24. Terzaghi R.D. Sources of error in joint surveys. Geotechnique. 15:1965;287-304.
25. Einstein H.H., Baecher G.B. Probabilistic and statistical methods in engineering geology (part I). Rock Mechanics and Rock Engineering. 16:1983;39-72.
26. Pahl P.J. Estimating the mean length of discontinuity traces. Int. J. Rock Mech. Min. Sci. and Geomech. Abstr. 18:1981;221-228.
27. Zhang L. Analysis and design of drilled shafts in rock. Ph.D. thesis, Massachusetts Institute of Technology, Cambridge, MA, 1999.
28. Crofton M.W. Probability. Encyclopedia Britannica 9th ed. vol. 19:1885;768.
29. Andersson J., Shapiro A.M., Bear J. A stochastic model of a fractured rock conditioned by measured information. Water Resources Research. 20:1984;79-88.
30. Dershowitz W.S., Herda H.H. Interpretation of fracture spacing and intensity. Proceedings of the 33rd US Symposium on Rock Mechanics, Santa Fe, NM. 1992;757-766.
31. Mauldon M. Intersection probabilities of impersistent joints. Int. J. Rock Mech. Min. Sci. and Geomech. Abstr. 31:1994;107-115.
32. Kachanov M. Continuum model of medium with cracks. J. Engng Mech. Div., ASCE. 106:1980;1039-1051.
33. Oda M. Fabric tensor for discontinuous geological materials. Soils and Foundations. 22:1982;96-108.
34. Kawamoto T., Ichikawa Y., Kyoya T. Deformation and fracturing behavior of discontinuous rock mass and damage mechanics theory. Int. J. Numer. Anal. Meth. Geomech. 12:1988;1-30.
35. Dershowitz WS, Lee G, Geier J, Foxford T, LaPointe P, Thomas A. FracMan, interactive discrete feature data analysis, geometric modeling, and exploration simulation. User Documentation, Version 2.6, Golder Associates Inc., Seattle, Washington, 1998.
36. Cruden D.M. Describing the size of discontinuities. Int. J. Rock Mech. Min. Sci. and Geomech. Abstr. 14:1977;133-137.