Sliding size distribution in a simple spring-block system with asperities

Physica A: Statistical Mechanics and its Applications

Volumn 387, Issue 13, 2008, Pages 3137-3144

  Vargas, C A ^a   Basurto, E ^a   Guzman Vargas L ^b   Angulo Brown, F ^b  

^a UNIVERSIDAD AUTÓNOMA METROPOLITANA AZCAPOTZALCO   (Mexico)

^b INSTITUTO POLITÉCNICO NACIONAL   (Mexico)

Author keywords

Asperities; Seismic fault; Sliding size distributions; SOC system; Spring block system

Indexed keywords

SEISMIC DESIGN; STATISTICAL MECHANICS; SURFACE ANALYSIS;

ASPERITIES; SEISMIC FAULT; SEISMIC FAULTS; SLIDING SIZE DISTRIBUTIONS; SOC SYSTEMS; SPRING BLOCK SYSTEMS;

SYSTEMS ANALYSIS;

EID: 40849135992     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2008.01.108     Document Type: Article

References (29)

1. Gutenberg B., and Richter C.F. Frequency of earthquakes in California. Bull. Seismol. Soc. Amer. 34 (1944) 185-188
2. Burridge R., and Knopoff L. Model and theoretical seismicity. Bull. Seismol. Am. 57 3 (1967) 341-371
3. Bak P., Tang C., and Wiesenfeld K. Self-organized criticality. Phys. Rev. A 38 (1988) 364-374
4. Carlson J.M., and Langer J.S. Mechanical model of an earthquake fault. Phys. Rev. A 40 (1989) 6470-6484
5. Ito K., and Matsuzaki M. Earthquakes as a self-organized critical phenomena. J. Geophys. Res. 95 (1990) 6853-6860
6. Nakanishi H. Cellular automaton model of earthquakes with nondeterministic dynamics. Phys. Rev. A 41 (1990) 7086-7089
7. Brown S.R., Scholz C.H., and Rundle J.B. A simplified spring-block model of earthquakes. Geophys. Res. Lett. 18 (1991) 215-218
8. Olami Z., Feder H.J.S., and Christensen K. Self organized criticality in a continuous, nonconservative cellular automaton model. Phys. Rev. Lett. 68 (1992) 1244-1247
9. Christensen K., and Olami Z. Scaling, phase transitions, and nonuniversality in a self organized critical cellular automaton model. Phys. Rev. A 46 (1992) 1829-1838
10. Barriere B., and Turcotte D.L. Seismicity and self-organized criticality. Phys. Rev. E 49 2 (1994) 1151-1160
11. Ferguson C.D., Klein W., and Rundle J.B. Long range earthquake fault models. Comp. Phys. 12 (1999) 34-40
12. Muñoz-Diosdado A., and Angulo-Brown F. Patterns of synthetic seismicity and recurrence times in a spring-block earthquake model. Rev. Mex. Fis. 45 4 (1999) 393-400
13. Angulo-Brown F., and Muñoz-Diosdado A. Further seismic properties of a spring-block earthquake model. Geophys. J. Int. 139 2 (1999) 410-418
14. Turcotte D.L. Self-organized criticality. Rep. Prog. Phys. 62 (1999) 1377-1429
15. Bowter C.J., and Miller G. Criticality and universality in a generalized earthquake model. Phys. Rev. E 71 (2005) 016119-1-016119-8
16. Bak P., Tang C., and Wiesenfeld K. Self-organized criticality. Phys. Rev. Lett. 59 (1988) 381-384
17. Kanamori H., and Anderson D.L. Theoretical basis of some empirical relations in seismology. Bull. Seism. Soc. Am. 65 5 (1975) 1073-1095
18. Turcotte D.L. Fractals and Chaos in Geology and Geophysics (1992), Cambridge University Press, Cambridge
19. Geller R., Jackson D.D., Kagan Y., and Mulargia F. Earthquakes can not be predicted. Science 275 (1977) 1616-1617
20. Bak P. How Nature Works (1996), Springer, New York
21. Byerlee J.D. Static and kinetic friction under high stress. Int. J. Rock Mech. Min. Sci. 7 (1970) 577-582
22. Scholz C.H., and Engelder J.T. The role of asperity indentation and ploughing in rock friction, I. Asperity creep and stick slip. Int. J. Rock Mech. Min. Sci. 13 (1976) 149-154
23. Kanamori H. The nature of seismicity patterns before large earthquakes. In: Simpson D.W., and Richards P.G. (Eds). Earthquake Prediction: An International Revision (1981), AGU, Washington D.C. 1-19
24. A. Muñoz-Diosdado, F. Angulo-Brown, A.H. Rudolf-Navarro, A non-homogeneous spring-block earthquake model and its relation with the asperity concept, in: J.A. Heras and R.V. Jiménez (Eds.), Topics in Contemporary Physics, National Polytechnic Institute, México, 2000, pp. 169-186
25. Feder H.J.S., and Feder J. Self-organized criticality in a stick-slip process. Phys. Rev. Lett. 66 20 (1991) 2669-2672
26. Parteli E.J.R., Gomes M.A.F., Montarroyos, and Brito V.P. Omori law for sliding of blocks on inclined rough surfaces. Physica A 292 (2001) 536-544
27. Utsu T. Statistical features of seismicity. In: Lee W.H.K., Kanamori H., Jennings P.C., and Kisslinger C. (Eds). IASPEI International Handbook of Earthquake and Engineering Seismology, Part A (2002), Academic Press, Amsterdam 719-732
28. Burridge R. Some early earthquake source models. In: Bhattacharyya P., and Chakrabarti (Eds). Modelling Critical and Catastrophic Phenomena in Geoscience: A Statistical Approach (2006), Springer, Berlin 113-152
29. Kagan Y.Y. Why does theoretical physics fail to explain and predict earthquake occurrence?. In: Bhattacharyya P., and Chakrabarti (Eds). Modelling Critical and Catastrophic Phenomena in Geoscience: A Statistical Approach (2006), Springer, Berlin 303-352