Ambiguities in estimating fractal dimensions of rock fracture surfaces

31st U.S. Symposium on Rock Mechanics, USRMS 1990

Volumn , Issue , 1990, Pages 471-478

  Miller, S M ^a,b   McWilliams, P C ^b   Kerkering, J C ^b  

^a UNIVERSITY OF IDAHO   (United States)

^b US Bureau of Mines   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FRACTAL DIMENSION; FRACTURE; LAMINATES; ROCK MECHANICS;

INPUT PARAMETER; NATURAL FRACTURE; ROCK FRACTURES; ROCK TYPES; SELF-AFFINE FRACTAL MODELS; SPECTRAL METHODS; VISUAL ASSESSMENTS;

ROCKS;

EID: 80053130669     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (17)

1. Aviles, C.A., C.H. Scholz, and J. Boatwright, 1987. Fractal analysis applied to characteristic segments of the San Andreas fault. Jour. Geophys. Res., 92: 331-344.
2. Barnsley, M., 1988. Fractals everywhere. Academic Press, New York, 400 p.
3. Barton, N., 1973. Review of a new shear strength criterion for rock joints. Engineering Geology, 7: 287-332.
4. Bendat, J.S. and A.G. Piersol, 1986, Random Data: Analysis and measurement procedures, 2nd Edition. John Wiley & Sons Inc., New York, 566 p.
5. Brown, S.R., 1987. A note on the description of surface roughness using fractal dimension. Geophys. Research Letters, 14: 1095-1098.
6. Brown, S.R., 1990. Fractal dimension of rough surfaces and some geophysical records. In press, GSA Special Paper on fractals in geology.
7. Brown, S.R. and C.H. Scholz, 1985. Broad bandwidth study of the topography of natural rock surfaces. Jour. Geophys. Res., 90: 12,575 - 12,582.
8. Cart, J.R. and J.B. Warriner, 1987. Rock mass classification using fractal dimension. Proc. 28th U.S. Symp. Rock Mech., I. Farmer et al., eds., Balkema, Boston, p. 73-80.
9. Fedex, J., 1988. Fractals. Plenum Press, New York, 283 p.
10. Hough, S.E., 1989. On the use of sprectal methods for the determination of fractal dimension. Geophys. Res. Letters, 16: 673-676.
11. ISRM (International Society for Rock Mechanics), 1978. Suggested methods for the quantitative description of discontinuities in rock masses. Intl. Jour. Rock Mech. Min. Sci. & Geomech. Abstr., 15: 319-368.
12. Mandelbrot, B., 1983. The fractal geometry of nature. W. Freeman, San Francisco, 468 p.
13. Miller, S.M., P.C. McWilliams, and J.C. Kerkering, 1989. Evaluation of stereo digitizing for measuring rock fracture roughness. Proc. 30th U.S. Symp. Rock Mech., A. Khair, ed., Balkema, Rotterdam, p. 73-80.
14. Myers, N.O., 1962. Characterization of surface roughness. Wear, 5: 182-189.
15. Rayher, J.N., 1971. An introduction to spectral analysis. Pion, Ltd., London, 174 p.
16. Seigel, S., 1936. Non-parametric statistics. McGraw-Hill, New York, p. 213-223.
17. Tse, R. and Cruden, D.M., 1979. Estimating joint roughness coefficients. Intl. Jour. Rock Mech. Min. Sci. & Geomech. Abstr., 16: 303-307.