Improved cubic covering method for fractal dimensions of a fracture surface of rock

Yanshilixue Yu Gongcheng Xuebao/Chinese Journal of Rock Mechanics and Engineering

Volumn 24, Issue 17, 2005, Pages 3192-3196

  Zhang, Ya Heng ^a   Zhou, Hong Wei ^a   Xie, He Ping ^a,b  

^a CHINA UNIVERSITY OF MINING AND TECHNOLOGY   (China)

^b SICHUAN UNIVERSITY   (China)

Author keywords

Cubic covering method; Fractal dimension; Fracture surface; Improved cubic covering method; Rock mechanics

Indexed keywords

FRACTALS; FRACTURE; LASER APPLICATIONS; PROFILOMETRY; SURFACE ROUGHNESS;

FRACTAL DIMENSION; FRACTURE SURFACE; IMPROVED CUBIC COVERING METHOD; PROJECTIVE COVERING METHOD; TRIANGULAR PRISM SURFACE AREA METHOD;

ROCK MECHANICS;

EID: 25144468435     PISSN: 10006915     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (16)

1. Xia Yuanyou, Zhu Ruigeng. Application of fractal theory to structure of rock[J]. Chinese Journal of Rock Mechanics and Engineering, 1997, 16(4): 362-361. (in Chinese)
2. Bai Wuming, Fang Hua. Fractal character of porous structure in sandstone[J]. Chinese Journal of Rock Mechanics and Engineering, 1998, 17(4): 446-452. (in Chinese)
3. Lian Jianfa, Shen Naiqi, Zhang Jiekun. Application of fractal theory to evaluation of rock quality[J]. Chinese Journal of Rock Mechanics and Engineering, 2001, 20(Supp. 1): 1695-1698. (in Chinese)
4. Wang Jinan, Xie Heping, Tian Xiaoyan, et al. Scaling effect of estimation of the fractal dimensions of a fracture surface of rock[J]. Chinese Journal of Rock Mechanics and Engineering, 2000, 19(1): 11-17. (in Chinese)
5. Zhou H W, Xie H, Kwasniewski M A. Developments in characterization of surface topography of rock joint[J]. Progress in Natural Science, 2001, 11(7): 481-489.
6. Zhou H W, Xie H. Anisotropic characterization of rock fracture surfaces subjected to profile analysis[J]. Physics Letters A, 2004, 325(5/6): 355-362.
7. Mandelbrot B B. The Fractal Geometry of Nature[M]. New York: Freeman W H, 1982.
8. Xie H, Wang J A, Xie W H. Fractal effect of surface roughness on the mechanical behavior of rock joints[J]. Chaos, Solitons and Fractals, 1997, 8(2): 221-252.
9. Clark K C. Computation of the fractal dimension of topographic surfaces using the triangular prism surface area method[J]. Computers and Geoscience, 1986, 12(5): 713-722.
10. Xie H, Wang J A, Stein E. Direct fractal measurement and multifractal properties of fracture surface[J]. Physics Letters A, 1998, A242: 41-50.
11. Xie H, Wang J A, Kwasniewski M A. Multifractal characterization of rock fracture surfaces[J]. Int. J. Rock Mech. Min. Sci., 1999, 35(1): 19-27.
12. Zhou H W, Xie H. Direct estimation of the fractal dimensions of a fracture surface of rock[J]. Surface Review and Letters, 2003, 10(5): 751-762.
13. Friel J J, Pande C S. Direct determination of fractal dimension of fracture surfaces using scanning electron microscopy and stereoscopy[J]. Journal of Materials Research, 1993, 8(1): 100-104.
14. Xie H, Zhou H W, Feng Z. Further research on the Projective Covering Method[J]. International Journal of Solids and Structures, 2000, 37(33): 4627-4630.
15. Stach S, Cybo J, Chmiela J. Fracture surface-fractal or multifractal[J]. Materials Characterization, 2001, 46(2/3): 163-167.
16. Feder J. Fractals[M]. New York: Plenum Press, 1988.