Earthquakes in quasistatic models of fractures in elastic media: Formalism and numerical techniques

Journal of Physics A: Mathematical and General

Volumn 30, Issue 7, 1997, Pages 2297-2315

  Chen, Kan ^a   Bhagavatula, Ravi ^b   Jayaprakash, C ^c  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^b UNIVERSITY OF PITTSBURGH   (United States)

^c OHIO STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031557479     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/30/7/012     Document Type: Article

References (37)

1. Herrmann H J and Roux S 1990 Statistical Models for the Fracture of Disordered Media (Amsterdam: North Holland)
2. Knopoff L 1990 Disorder and Fracture ed C Charmet et al (New York: Plenum) p 279
3. Xu H J, Bergersen B and Chen K 1992 J. Phys. A: Math. Gen. 25 L1251 Xu H J, Bergersen B and Chen K 1993 J. Physique I 3 2029
4. Xu H J, Bergersen B and Chen K 1992 J. Phys. A: Math. Gen. 25 L1251 Xu H J, Bergersen B and Chen K 1993 J. Physique I 3 2029
5. Aki K and Richards P G 1980 Quantitative Seismology, Theory and Methods (San Francisco, CA: Freeman)
6. Press W H, Teukolsky S A, Vetterling W T and Flannery B P 1992 Numerical Recipes - The Art of Scientific Computing 2nd edn (Cambridge: Cambridge University Press)
7. de Arcangelis L, Redner S and Hermann H J 1985 J. Physique Lett. 46 L585
8. Duxbury P M, Leath P L and Beale P D 1987 Phys. Rev. B 36 367
9. Bhagavatula R, Chen K, Jayaprakash C and Xu H J 1994 Phys. Rev. E 49 5001-6
10. Niemeyer L, Pietronero L and Wiesmann H J 1984 Phys. Rev. Lett. 52 1033
11. Bhagavatula R, Chen K and Jayaprakash C 1994 J. Phys. A: Math. Gen. 27 L155-62
12. Bhagavatula R, Chen K and Jayaprakash C 1995 Geophys. Res. Lett. 22 1301
13. Scholz C H 1990 The Mechanics of Earthquakes and Faulting (Cambridge: Cambridge University Press)
14. Grinstein G 1995 Scale Invariance, Interfaces and Non-equilibrium Dynamics ed A McKane, M Droz, J Vannimenus and D Wolf (New York: Plenum)
15. Burridge R and Knopoff L 1967 Bull. Seismol. Soc. Am. 57 341
16. Takayasu H and Matsuzaki M 1988 Phys. Lett. A 131 244
17. Sornette A and Sornette D 1989 Europhys. Lett. 9 192 Miltenberger P, Sornette D and Vanneste C 1993 Phys. Rev. Lett. 71 3604 and references therein
18. Sornette A and Sornette D 1989 Europhys. Lett. 9 192 Miltenberger P, Sornette D and Vanneste C 1993 Phys. Rev. Lett. 71 3604 and references therein
19. Brown S R, Scholz C H and Rundle J B 1991 Geophys. Res. Lett. 18 215
20. Ito K and Matsuzaki M 1990 J. Geophys. Res. 95 6853
21. Nakanishi H 1990 Phys. Rev. A 41 7086-9
22. Olami Z, Feder H S and Christensen K 1991 Phys. Rev. Lett. 68 1244
23. Bak P and Chen K 1995 Fractals in the Earth Sciences ed C Barton and P LaPointe (Denver, CO: Geological Society of America) and references therein
24. Bak P, Tang C and Wiesenfeld K 1987 Phys. Rev. Lett. 59 381
25. Gutenberg B and Richter C F 1956 Ann. di Geofis. 9 1
26. Carlson J M and Langer J S 1989 Phys. Rev. Lett. 62 2632 Carlson J M and Langer J S 1989 Phys. Rev. A 40 2803
27. Carlson J M and Langer J S 1989 Phys. Rev. Lett. 62 2632 Carlson J M and Langer J S 1989 Phys. Rev. A 40 2803
28. Carlson J M 1991 Phys. Rev. A 44 6226
29. Shaw B E, Carlson J M and Langer J S 1992 J. Geophys. Res. 97 479
30. Shaw B E 1995 J. Geophys. Res. 100 18239
31. Knopoff L, Landoni J A and Abinante M S 1992 Phys. Rev. A 46 7445
32. Lomnitz-Adler J 1993 J. Geophys. Res. 98 17745
33. Ben-Zion Y and Rice J R 1993 J Geophys. Res. 98 14109
34. Chen K, Bak P and Obukhov S P 1991 Phys. Rev. A 43 625
35. Scholz C H and Mandelbrot B B (eds) 1989 Fractals in Geophysics (Basel: Birkhäuser)
36. Reid H F 1910 The California Earthquake of April 18, 1906 Carnegie Institute of Washington, Publ no 87 vol 2
37. Pacheco J F, Scholz C H and Sykes L R 1992 Changes in frequency-size relationship from small to large earthquakes Nature 355 71-3