Analysis of aperture evolution in a rock joint using a complex network approach

International Journal of Rock Mechanics and Mining Sciences

Volumn 47, Issue 1, 2010, Pages 17-29

  Ghaffari, Hamed O ^a   Sharifzadeh, Mostafa ^b   Fall, Mamadou ^a  

^a UNIVERSITY OF OTTAWA   (Canada)

^b AMIRKABIR UNIVERSITY OF TECHNOLOGY   (Iran)

Author keywords

Aperture evolution; Complex network; Rock joint

Indexed keywords

SHEAR STRESS; TOPOLOGY;

APERTURE EVOLUTION; CONNECTIVITY DEGREE; DEGREE DISTRIBUTIONS; EVOLUTIONARY NETWORK; METRIC SPACES; ROCK JOINT; ROUGH FRACTURES; SHEAR DIRECTION; SIMILARITY MEASUREMENTS; TWO DIRECTIONS;

COMPLEX NETWORKS;

ALGORITHM; ASPERITY; CLUSTER ANALYSIS; COMPLEXITY; DILATION; FRACTURE APERTURE; GAUSSIAN METHOD; HYDRAULIC CONDUCTIVITY; JOINT; NETWORK ANALYSIS; OBSERVATIONAL METHOD; ROCK; SHEAR STRENGTH; SHEAR STRESS; TOPOLOGY;

EID: 73449108392     PISSN: 13651609     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijrmms.2009.02.012     Document Type: Article

References (34)

1. Sharifzadeh M. Experimental and theoretical research on hydro-mechanical coupling properties of rock joint. PhD thesis, Kyushu University, Japan; 2005. p. 223.
2. Adler M.P., and Thovert J.F. Fractures and fracture networks (1999), Kluwer Academic Press, Dordrecht
3. Koyama T. Numerical modeling of fluid flow and particle transport in rock fractures during shear. PhD thesis, Royal Institute of Technology (KTH), Stockholm; 2005. p. 230.
4. Hakami E, Einstein HH, Genitier S, Iwano M. Characterization of fracture apertures-methods and parameters. In: Proceedings of the eighth international congress on rock mechanics, Tokyo; 1995. p. 751-54.
5. Lanaro F., and Stephansson O. Unified model for characterization and mechanical behavior of rock fractures. Pure Appl Geophys 160 (2003) 989-998
6. Lanaro F.A. Random field model for surface roughness and aperture of rock fractures. Int J Rock Mech Min Sci 37 (2000) 1195-1210
7. Brown S.R., Kranz R.L., and Bonner B.P. Correlation between the surfaces of natural rock joints. Geophys Res Lett 13 13 (1986) 1430-1433
8. Sharifzadeh M, Mitani Y, Esaki T, Urakawa F. An investigation of joint aperture distribution using surface asperities measurement and GIS data processing. In: Proceedings of the Asian rock mechanics symposium (ARMS3), Kyoto; 2004. p. 165-71.
9. Sharifzadeh M., Mitani Y., and Esaki T. Rock joint surfaces measurement and analysis of aperture distribution under different normal and shear loading using GIS. Rock Mech Rock Eng 41 (2008) 299-323
10. Grasselli G. Shear strength of rock joints based on quantified surface description. PhD Ecole Polytechnique Fédérale de Lausanne; 2001. p. 124.
11. Fardin N., Stephenson O., and Jing L. The scale dependency of rock joint surface roughness. Int J Rock Mech Min Sci 38 (2001) 659-666
12. Ghaffari OH. Applications of intelligent systems and complex networks in analysis of hydro- mechanical coupling behavior of a single rock joint under normal and shear Load. MSc thesis, Amirkabir University of Technology, Tehran; 2008. p. 145.
13. Boccara N. Modeling complex systems (2004), Springer, Berlin
14. Vicsek T. The bigger picture. Nature 418 (2002) 131
15. Hakan H. Synergetics: an introduction (1983), Springer, New York
16. Strogatz S.H. Exploring complex networks. Nature 410 (2001) 268-276
17. Newman M.E.J. The structure and function of complex networks. SIAM Rev 45 2 (2003) 167-256
18. Albert R., and Barabasi A.L. Statistical mechanics of complex networks. Rev Mod Phys 74 (2002) 47-97
19. Valentini L., Perugini D., and Poli G. The small-world topology of rock fracture networks. Physica A 377 (2007) 323-328
20. Mooney SJ, Dean K. Using complex networks to model 2-D and 3-D soil porous architecture. Available at: 〈http://aps.arxiv.org/abs/0802.0753〉.
21. Baiesi M., and Paczuski M. Scale free networks of earthquakes and aftershocks. Phys Rev E 69 2 (2004) 066106.1-066106.8
22. Yuksel M, Karabacak T, Guclu H. Networking behavior in thin film and nanostructure growth dynamics. In: Proceedings of the second IEEE international conference on nano-networks. Available at: 〈http://arxiv.org/abs/0711.4745v1〉; 2007.
23. Abe S., and Suzuki N. Complex network description of seismicity. Nonlinear Process Geophys 13 (2006) 145-150
24. Wilson R.J. Introduction to graph theory. 4th ed (1996), Prentice Hall, Harlow
25. Watts D.J., and Strogatz S.H. Collective dynamics of small-world networks. Nature 393 (1998) 440-442
26. Bomer K., Sanyal S., and Vespiganani A. Network's science. Annu Rev Inform Sci Technol 41 12 (2007) 537-607
27. Barabasi AL, Albert R, Jeong H. Mean-field theory for scale-free random networks. Available at: 〈http://www.arxiv.org/condmat/9907068v1〉.
28. Bezdek J.C., Keller J., Krisnapuram R., and Nikhil R.P. Fuzzy models and algorithms for pattern recognition and image processing (2005), Springer, Berlin
29. Ghaffari OH, Sharifzadeh M, Shahrair K, Pedrycz W. Application of soft granulation theory to permeability analysis. Int J Rock Mech Min Sci; 2008, doi:10.1016/j.ijrmms.2008.09.001.
30. Ghaffari OH, Sharifzadeh M, Pedrycz W. Phase transition in SONFIS and SORST. In: Chan CC, et al., editors. RSCTC 2008, LNAI 5306. Berlin: Springer; 2008. p. 339-48.
31. Levy M. Social phase transitions. J Econ Behav Organ 57 (2005) 71-87
32. Millonas MM. Swarms, phase transitions, and collective intelligence. Available at: 〈http://arxiv.org/abs/adaporg/9306002〉.
33. Ghaffari OH, Sharifzadeh M, Fall M. Complex aperture networks. Available at: 〈http://arxiv.org/abs/0901.4413〉.
34. Burago D., Burago Y.D., and Ivanov S. A course in metric geometry (2001), American Mathematical Society, New York