On the statistical mechanics of distributed seismicity

Geophysical Journal International

Volumn 131, Issue 3, 1997, Pages 552-558

  Morein, Gleb ^a   Turcotte, Donald L ^a   Gabrielov, Andrei ^b  

^a Department of Obstetrics Gynecology   (United States)

^b PURDUE UNIVERSITY   (United States)

Author keywords

Earthquakes; Geostatistics; Seismic modelling; Seismology; Statistical methods

Indexed keywords

GEOSTATISTICS; SEISMICITY;

EID: 0031422250     PISSN: 0956540X     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1365-246X.1997.tb06599.x     Document Type: Article

References (18)

1. Bak, P. & Tang, C., 1989. Earthquakes as a self-organized critical phenomenon, J. geophys. Res., 94, 15 635-15 637.
2. Bak, P., Tang, C. & Wiesenfeld, K., 1988. Self-organized criticality, Phys. Rev., A, 38, 364-374.
3. Bruce, A. & Wallace, D., 1989. Critical point phenomena: universal physics at large length scales, in The New Physics, pp. 236-267, ed. Davies, P., Cambridge University Press, Cambridge.
4. Burridge, R. & Knopoff, L., 1967. Model and theoretical seismicity, Bull. seism. Soc. Am., 57, 341-371.
5. Carlson, J.M. & Langer, J.S., 1989. Mechanical model of earthquake fault, Phys. Rev., A, 40, 6470-6484.
6. Carlson, J.M., Langer, J.S. & Shaw, B.E., 1994. Dynamics of earthquake faults, Rev. Mod Phys., 66, 657-670.
7. Chapman, S. & Cowling, T.G., 1960. The Mathematical Theory of Non-Uniform Gases, Cambridge University Press, Cambridge.
8. Hirata, T., Satoh, T. & Ito, K., 1987. Fractal structure of spatial distribution of microfracturing in rock, Geophys. J. R. astr. Soc., 90, 369-374.
9. Huang, J., Narkounskaia, G. & Turcotte, D.L., 1992. A cellular-automata, slider-block model for earthquakes - II. Demonstration of self-organized criticality for a 2-D system, Geophys, J. Int., 111, 259-269.
10. Huang, J. & Turcotte, D.L., 1990. Are earthquakes an example of deterministic chaos?, Geophys. Res. Lett., 17, 223-226.
11. Kadanoff, L.P., Nagel, S.R., Wu, L. & Zhou, S.M., 1989. Scaling and universality in avalanches, Phys. Rev., A, 39, 6524-6533.
12. Main, F., 1996. Statistical physics, seismogenesis, and seismic hazard, Rev. Geophys., 34, 433-462.
13. Nagel, S.R., 1992. Instabilities in sandpile, Rev. Mod. Phys., 64, 321-325.
14. Newman, W.I., Turcotte, D.L. & Gabrielov, A.M., 1995. Log-periodic behaviour of a hierarchical failure model with applications to precursory seismic activation, Phys. Rev., E, 52, 4827-4835.
15. Robertson, M.C., Sammis, G.G., Sahimi, M. & Martin, A.J., 1995. Fractal analysis of 3-D spatial distributions of earthquakes with a percolation interpretation, J. geophys. Res., 100, 609-620.
16. Rundle, J.B., Klein, W., Gross, S. & Turcotte, D.L., 1995. Boltzmann fluctuations in numerical simulations of nonequilibrium lattice threshold systems, Phys. Rev. Lett., 75, 1658-1661.
17. Stauffer, D. & Aharony, A., 1992. Introduction to Percolation Theory, Taylor & Francis, London.
18. Turcotte, D.L., 1992. Fractals and Chaos in Geology and Geophysics, Cambridge University Press, Cambridge.