Slip, stress drop and ground motion of earthquakes: A view from the perspective of fractional brownian motion

Pure and Applied Geophysics

Volumn 149, Issue 4, 1997, Pages 689-706

  Tsai, Chu Chuan Peter ^a  

^a INSTITUTE OF EARTH SCIENCES   (Taiwan)

Author keywords

Fractal dimension; Fractional Brownian motion; Hurst exponent; Slip distribution; Stress drop; Strong ground motion

Indexed keywords

BROWNIAN MOTION; EARTHQUAKE; EARTHQUAKE MECHANISM; FAULT SLIP; FOCAL MECHANISM; FRACTAL ANALYSIS; GROUND MOTION; SLIP; STRESS DROP;

EID: 0031443939     PISSN: 00334553     EISSN: None     Source Type: Journal    
DOI: 10.1007/s000240050047     Document Type: Article

References (34)

1. AKI, K. (1967), Scaling Law of Seismic Spectrum, J. Geophys. Res. 72, 1217-1231.
2. AKI, K. (1972), Scaling Law of Earthquake Source Time-function, Geophys. J. R. Astr. Soc. 31, 3-25.
3. ANDREWS, D. J (1980), A Srochastic Fault Model, I. Static Case, J. Geophys. Res. 85, 3867-3877.
4. ANDREWS, D. J. (1981), A Stochastic Fault Model, 2. Tune-dependent Case. J. Geophys. Res. 86, 10821-18034.
5. BEROZA, G. C., and SPUDICH, P. S. (1988), Linearized Inversion for Fault Rupture Behavior: Application to the 1984 Morgan Hill, California, Earthquake. J. Geophys. Res. 93, 6275-6296.
6. BEROZA, G. C. (1991), Near-source Modeling of the Loma Prieta Earthquake: Evidence for Heterogeneous and Implication for Earthquake Hazard, Bull. Seismol. Soc. Am. 81, 1603-1621.
7. COHEE, B. P., and BEROZA, G. C. (1994), Slip Distribution of the 1992 Landers Earthquake and its Implications for Earthquake Source Mechanics, Bull. Seismol. Soc. Am. 84, 692-712.
8. FEDER, J., Fractals (Plenum Press, New York 1988).
9. FRANKEL, A. (1991), High-frequency Spectral Falloff of Earthquakes, Fractal Dimension of Complex Rupture, b value, and the Scaling of Strength on Faults, J. Geophys. Res. 96, 6291-6302.
10. HANKS, T. C. (1979), b-values and Seismic Source Models: Implications for Tectonic Stress Variations along Active Crustal Fault Zones and the Estimation for High-frequency Strong Ground Motion, J. Geophys. Res. 84, 2235-2242.
11. HARTZELL, S. H., and HEATON, T. H. (1983), Inversion of Strong Ground Motion and Teleseismic Waveform Data for the Fault Rupture History of the 1979 Imperial Valley, California, Earthquake, Bull. Seismol. Soc. Am. 73, 1553-1583.
12. HARTZELL, S. H., and HEATON, T. H. (1986), Rupture History of the 1984 Morgan Hill, California, Earthquake from the Inversion of Strong Motion Records, Bull. Seismol. Soc. Am. 76, 649-674.
13. HERRERO, A., and BERNARD, P. (1994), A Kinematic Self-similar Rupture Process for Earthquakes, Bull. Seismol. Soc. Am. 84, 1216-1228.
14. HURST, H. E., BLACK, R. P., and SIMAIKA, Y. M., Long-term Storage: An Experimental Study (Constable, London 1965).
15. JOYNER, W. B. (1991), Directivity for Nonuniform Ruptures, Bull. Seismol. Soc. Am. 81, 1391-1395.
16. KOSTROV, B. V. (1964), Selfsimilar Problems of Propagation of Shear Cracks, J. of Applied Math, and Mech. PMM 28, 1077-1087.
17. MANDELBROT, B. B., and VAN NESS, J. W. (1968), Fractional Brownian Motions, Fractional Noises and Applications, SIAM Review 10, 422-437.
18. MANDELBROT, B. B., Fractals: Form, Change, and Dimension (W. H. Freeman, San Francisco 1977).
19. MANDELBROT, B. B., The Fractal Geometry of Nature (W. H. Freeman, New York 1982).
20. PEITGEN, H.-O., and RICHTER, P. H., The Beauty of Fractals (Springer-Verlag, Berlin 1986).
21. PEITGEN, H.-O., JÜRGENS, H., and SAUPE, D., Fractals for the Classroom, Part One - Introduction to Fractals and Chaos (Springer-Verlag, New York 1992).
22. SAUPE, D., Algorithms for random fractals. In The Science of Fractal Images (eds. Peitgen, H.-O. and Saupe, D.) (Springer-Verlag, New York 1988) pp. 71-136.
23. SCHOLZ, C. H., and AVILES, C. A. (1986), The fractal geometry of faults and faulting. In Earthquake Source Mechanics (eds. Das, S., Boatwright, J., and Scholz, C. H.), Maurice Ewing Series 6, American Geophysical Union 37, pp. 147-155.
24. SPIEGEL, M. R., Theory and Problems of Probability and Statistics (McGraw-Hill, New York 1975).
25. TSAI, C.-C. P. (1992), Engineering Implications of Asperity-induced Ground Motion, Ph.D. Dissertation, Department of Civil Engineering, Stanford University, Stanford, California, U.S.A., 245 pp.
26. TSUBOI, C. (1956), Earthquake Energy, Earthquake Volume, Aftershock Area, and Strength of the Earth's Crust, J. Phys. Earth 4, 63-66.
27. Voss, R. F., Fractals in nature: From characterization to simulation. In The Science of Fractal Images (eds. Peitgen, H.-O. and Saupe, D.) (Springer-Verlag, New York 1988) pp. 21-70.
28. WALD, D. J., HELMBERGER, D. V., and HEATON, T. H. (1991), Rupture Model of the 1989 Loma Prieta Earthquake from the Inversion of Strong Motion and Broadband Teleseismic Data, Bull. Seismol. Soc. Am. 81, 1540-1572.
29. WALD, D. J., and HEATON, T. H. (1994a), Spatial and Temporal Distribution of Slip for the 1992 Landers, California, Earthquake, Bull. Seismol. Soc. Am. 84, 668-691.
30. WALD. D. J., and HEATON, T. H. (1994b), A Dislocation Model of the 1994 Northridge, California, Earthquake Determined from Strong Ground Motions, U.S. Geological Survey Open-File Report 94-278.
31. WALD, D-J., HEATON, T. H., and HUDNUT, K. W. (1996), The Slip History of the 1994 Northridge, California, Earthquake Determined from Strong-Motion, Teleseismic, GPS, and Leveling Data, Bull. Seismol. Soc. Am. 86, S49-S70.
32. ZENG, Y., AKI, K., and TENG, T. L. (1993), Source Inversion of the 1987 Whittier Narrows Earthquake, California, Using the Isochorn Method, Bull. Seismol. Soc. Am. 83, 358-377.
33. ZENG, Y., ANDERSON, J. G., and Yu, G. (1994), A Composite Source Model for Computing Realistic Synthetic Strong Ground Motions, Geophys. Res. Lett. 21, 725-728.
34. ZENG, Y., and ANDERSON, J. G. (1996), A Composite Source Model of the 1994 Northridge Earthquake Using Genetic Algorithms, Bull. Seismol Soc. Am. 86, S71-S83.