Methods for evaluation of geodetic data and seismicity developed with numerical simulations: Review and applications

Pure and Applied Geophysics

Volumn 161, Issue 7, 2004, Pages 1489-1507

  Tiampo, K F ^a,b   Rundle, J B ^c   Sa Martins J S ^d   Klein, W ^e   McGinnis, S ^a  

^a UNIVERSITY OF COLORADO   (United States)

^b UNIVERSITY OF WESTERN ONTARIO   (Canada)

^c UNIVERSITY OF CALIFORNIA   (United States)

^d FLUMINENSE FEDERAL UNIVERSITY   (Brazil)

^e Boston University   (United States)

Author keywords

Deformation patterns; Earthquake fault systems; Numerical simulations

Indexed keywords

EARTHQUAKE; FAULT; GEODESY; NUMERICAL MODEL; SEISMICITY;

EID: 3142526244     PISSN: 00334553     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00024-004-2516-3     Document Type: Article

References (62)

1. ANGHEL, M., and BEN-ZION, Y. (2001), Nonlinear System Identification and Forecasting of Earthquake Fault Dynamics Using Artificial Neural Networks, EOS Trans., AGU 82, F571.
2. ANGHEL, M., BEN-ZION, Y., and MARTINEZ, R. R. (2003), Dynamical System Analysis and Forecasting of Deformation Produced by an Earthquake Fault, Pure Appl. Geophys., in press.
3. ARGUS, D. F., HEFLIN, M. B., DONNELLAN, A., WEBB, F. H., DONG, D., HURST, K. J., JEFFERSON, D. C., LYZENGA, G. A., WATKINS, M. M., and ZUMBERGE, J. F. (1999), Shortening and Thickening of Metropolitan Los Angeles Measured and Inferred by Using Geodesy, Geology 27, 703-706.
4. BAK, P., TANG, C., and WEISENFIELD, K. (1987), Self-organized Criticality: An Explanation of the 1/∫ Noise, Phys. Rev. Lett. 59, 381-384.
5. BAWDEN, G. W., MICHAEL, A. J., and KELLOGG, L. H. (1999), Birth of a Fault: Connecting the Kern County and Walker Pass, California, Geology 27, 601-604.
6. BAWDEN, G. W., THATCHER, W., STEIN, R. S., HUDNUT, K. W., and PELTZER, G. (2001), Tectonic Contraction Across Los Angeles after Removal of Groundwater Pumping Affects, Nature 412, 812-815.
7. BOCK, Y., WDOWINSKI, S., FANG, P., ZHANG, J., WILLIAMS, S., JOHNSON, H., BEHR, J., GENRICH, J., DEAN, J., VAN DOMSELAAR, M., AGNEW, D., WYATT, F., STARK, K., ORAL, B., HUDNUT, K., KING, R., HERRING, T., DINARDO, S., YOUNG, W., JACKSON, D., and GURTNER, W. (1997), Southern California Permanent GPS Geodetic Array: Continuous Measurements of Crustal Deformation between the 1992 Landers and 1994 Northridge Earthquakes, J. Geophys. Res. 102, 18,013-18,033.
8. BONNET, E., BOUR, O., ODLING, N. E., DAVY, P., MAIN, I., COWIE, P., and BERKOWITZ, B. (2001), Scaling of Fracture Systems in Geological Media, Rev. Geophys. 39, 347-384.
9. BOWMAN, D. D., OUILLON, G., SAMMIS, C. G., SORNETTE, A., and SORNETTE, D. (1998), An Observational Test of the Critical Earthquake Concept, J. Geophys. Res. 103, 24,359-24,372.
10. BREHM, D. J. and BRAILE, L. W. (1999), Intermediate-term earthquake prediction using the modified time-to-failure method in Southern California, Bull. Seismol. Soc. Am., 89, 275-293.
11. BUFE, C. G., and VARNES, D. J. (1993), Predictive modeling of the sesimic cycle of the greater San Francisco bay region, J. Geophys. Res., 98, 9871-9883.
12. DODGE, D. A., BEROZA, G. C., and ELLSWORTH, W. L. (1996), Detailed observations of California Foreshok Sequences: Implications for the earthquake initiation process, J. Geophys. Res., 101, 22,371-22,393.
13. DONG, D., FANG, P., BOCK, Y., CHENG, M. K., and MIYAZAKI, S. (2002), Anatomy of Apparent Seasonal Variations from GPS-derived Site Position Time Series, J. Geophys. Res. 107, doi:10.1029/2001JB000573.
14. ELLSWORTH, W. I., COLE, A. T., and DIETZ, L. (1998), Repeating Earthquakes and the Long-Term Evolution of Seismicity on the San Andreas Fault near Bear Valley, California, Seis. Res. Lett. 69.
15. FERGUSON, C. D., KLEIN, W., and RUNDLE, J. B. (1999), Spinodals, Scaling, and Ergodicity in a Threshold Model with Long-range Stress Transfer, Phys. Rev. E 60, 1359-1373.
16. FISHER, D. S., DAHMEN, K., RAMANATHAN, S., and BEN-ZION, Y. (1997), Statistics of Earthquakes in Simple Models of Heterogeneous Faults, Phys. Rev. Lett. 78, 4885-4888.
17. FUKUNAGA, K., Introduction to Statistical Pattern Recognition (Academic Press 1970).
18. GELLER, R. J., JACKSON, D. D., KAGAN, Y. Y., and MULARGIA, F. (1997), Enhanced: Earthquakes Cannot be Predicted, Science 275, 1616-1617.
19. HOLMES, P., LUMLEY, J. L., and BERKOOZ, G., Turbulence, Coherent Structures, Dynamical Systems, and Symmetry (Cambridge University Press, Cambridge, UK 1996).
20. HOTELLING, H. (1933), Analysis of a complex of statistical variables into principal components, J. Educ. Psych., 24, 417-520.
21. JAUME, S. C., and SYKES, L. R. (1999), Evolving Towards a Critical Point: A Review of Accelerating Seismic Moment/Energy Release prior to Large and Great Earthquakes, Pure Appl. Geophys. 155, 279-306.
22. JONES, L. M., and HAUKSSON, E. (1997), The Seismic Cycle in Southern California: Precursor or response?, Geophys. Res. Lett. 24, 4, 469-472.
23. KAGAN, Y. Y., and JACKSON, D. D. (1992), Seismic Gap Hypothesis, Ten Years After, J. Geophys. Res. 96, 21,419-21,431.
24. KANAMORI, H., The nature of seismicity patterns before large earthquakes. In Earthquake Prediction: An International Review, AGU Monograph (AGU, Washington, D. C. 1981), pp. 1-19.
25. KEILIS-BOROK, V. I., KNOPOFF, L., and ALLEN, C. R. (1980), Long-term Premonitory Seismicity Patterns in Tibet and the Himalayas, J. Geophys. Res. 85, 813-820.
26. MA, S. K. (1976), Renormalization Group by Monte-Carlo Methods. Phys. Rev. Lett. 37, 461-464.
27. MAIN, I. (1996), Statistical Physics, Seismogenesis, and Seismic Hazard, Rev. Geophys. 34, 433-462.
28. MOGI, K. (1969), Some Features of Recent Seismic Activity in and near Japan, (2) Activity before and after Great Earthquakes, Bull. Earthquake Res. Inst., Tokyo Univ. 47, 395-417.
29. MORI H., and KURAMOTO, Y., Dissipative Structures and Chaos (Springer-Verlag, Berlin 1998).
30. MULARGIA, F. (2001), Retrospective Selection Bias (or the Benefit of Hindsight), Geophys. J. Int. 146, 489-496.
31. NIJHOUT, H. F., Pattern formation and biological systems. In Pattern Formation in the Physical and Biological Sciences, Lecture Notes V. SFI (Addison Wesley, 1997) pp. 269-298.
32. PENLAND, C. (1989), Random Forcing and Forecasting Using Principal Oscillation Pattern Analysis, Mon. Weath. Rev. 117, 2165-2185.
33. POLLITZ, F. F., and SACKS, I. S. (1997), The 1995 Kobe, Japan, Earthquake: A Long-delayed Aftershock of the Offshore 1944 Tonankai and 1946 Nankaido Earthquakes, BSSA 87, 1-10.
34. PREISENDORFER, R. W., Principle Component Analysis in Meteorology and Oceanography (ed. C. D. Mobley) Develop. Atm. Sci. 17 (Elsevier, 1988).
35. PRESS, W., TEUKOLOSKY, S., VETTERING, W., and FLANNERY, B., Numerical Recipes in C: The Art of Scientific Computing (Cambridge University 1992).
36. RICHTER, C. F., Elementary Seismology (Freeman, San Francisco 1958).
37. RUNDLE, J. B. (1988), A Physical Model for Earthquakes: 2. Applications to Southern California, J. Geophys. Res. 93, 6255-6274.
38. RUNDLE, J. B. (1989), Derivation of the Complete Gutenberg-Richter Magnitude-frequency Relation Using the Principle of Scale Invariance, J. Geophys. Res. 94, 12,337-12,342.
39. RUNDLE, J. B., and KLEIN, W. (1995), New Ideas about the Physics of Earthquakes, Rev. Geophys. Space Phys. Suppl. (July) 283, 283-286.
40. RUNDLE, J. B., GROSS, S., KLEIN, W., FERGUSON, C., and TURCOTTE, D. L. (1997), The Statistical Mechanics of Earthquakes, Tectonophysics 277, 147-164.
41. RUNDLE, J. B., KLEIN, W., and GROSS, S. (1999), Physical Basis for Statistical Patterns in Complex Earthquake Populations: Models, Predictions and Tests, Pure Appl. Geophys. 155, 575-607.
42. RUNDLE, J. B., KLEIN, W., TIAMPO, K. F., and GROSS, S. (2000), Linear Pattern Dynamics of Nonlinear Threshold Systems, Phys. Rev, E 61, 2418-2432.
43. RUNDLE, J. B., KLEIN, W., TIAMPO, K. F., and SA MARTINS, J. S. (2002a), Self-organization in Leaky Threshold Systems: The Influence of Near-mean Field Dynamics and its Implications for Earthquakes, Neurobiology, and Forecasting, Proc. Nat. Acad. Sci. U.S.A., Suppl. 1, 99, 2514-2521.
44. RUNDLE, J. B., and KLEIN, W. (2002b), Towards a Forecast Capability for Earthquake Fault Systems: Integrating NASA Space Geodetic Observations with Numerical Simulations of a Changing Earth, Third ACES Conference Proceedings.
45. RUNDLE, J. B., RUNDLE, P. B., KLEIN, W., SA MARTINS, J. S., TIAMPO, K. F., DONNELLAN, A., and KELLOGG, L. H. (2002c), GEM Plate Boundary, Simulations for the Plate Boundary Observatory: A Program for Understanding the Physics of Earthquakes on Complex Fault Networks via Observations, Theory and Numerical Simulation, Pure Appl. Geophys. 159, 2357-2381.
46. RUNDLE, J. B., KELLOGG, L. H., and DONNELLAN, A. (2002d), Observables and Mapping of Fault Networks Developed Using Large-scale Earthquake Fault Simulations, GESS Conference Proceedings.
47. SAMMIS, C. G., SORNETTE, D., and SALEUR, H., Complexity and earthquake forecasting. In Reduction and Predictability of Natural Disasters, SFI Series in the Science of Complexity, XXV (Addison-Wesley, Reading, MA 1996).
48. SAVAGE, J. C. (1988), Principal Component Analysis of Geodetically Measured Deformation in Long Valley Caldera, Eastern California, 1983-1987, J. Geophys. Res. 93, 13,297-13,305.
49. SMALLEY, R. F., TURCOTTE, D. L., and SOLLA, S. A. (1985), A Renormalization Group Approach to the Stick-slip Behavior of Faults, J. Geophys. Res. 90, 1894-1900.
50. SORNETTE, A., and SORNETTE, D. (1989), Self-organized Criticality and Earthquakes, EPL 9, 197-202.
51. TIAMPO, K. F., RUNDLE, J. B., KLEIN, W., MCGINNIS, S., and GROSS, S. J., Observation of systematic variations in non-local seismicity patterns from southern California. In Geocomplexity and the Physics of Earthquakes. AGU Monograph (AGU, Washington, 2000).
52. TIAMPO, K. F., RUNDLE, J. B., GROSS, S. J., and KLEIN, W. (2002a), Eigenpatterns in southern Califorina Seismicity, J. Geophys. Res. 107, doi:10.1029/2001JB000562.
53. TIAMPO, K. F., RUNDLE, J. B., MCGINNIS, S., GROSS, S., and KLEIN, W. (2002b), Mean-field Threshold Systems and Phase Dynamics: An Application to Earthquake Fault Systems, EPL 60, 481-487.
54. TIAMPO, K. F., RUNDLE, J. B., KLEIN. W., BEN-ZION, Y., and MCGINNIS, S. (2003), Using Eigenpattern Analysis to Constrain Seasonal Signals in Southern California, Pure Appl. Geophys., in press.
55. TURCOTTE, D. L. (1991), Earthquake Prediction, Ann. Rev. Earth Planet. Sci. 19, 263-281.
56. TURCOTTE, D. L., Fractals and Chaos in Geology and Geophysics, 2nd ed. (Cambridge University Press 1997).
57. VAUTARD, R., and GHIL, M. (1989), Singular Spectrum Analysis in Nonlinear Dynamics, with Applications to Paleodynamic Time Series, Physica D 35, 395-424.
58. WATSON, K. M., BOCK, Y., and SANDWELL, D. T. (2002), Satellite Inferferometric Observations of Displacements Associated with Seasonal Groundwater, J. Geophys. Res. 107, doi:10.1029/2001JB000470.
59. WDOWINSKI, S., BOCK, Y., ZHANG, J., and FANG, P. (1997), Southern California Permanent GPS Geodetic Array: Spatial Filtering of Daily Positions for Estimating Coseismic and Postseismic Displacements Induced by the 1992 Landers Earthquake, J. Geophys. Res. 102, 18,057-18,070.
60. WYSS, M., and WIEMER, S. (1999), How Can One Test the Seismic Gap Hypothesis? The Case of Repeated Ruptures in the Aleutians, Pure Appl. Geophys. 155, 259-278.
61. YAMASHITA, T., and KNOPOFF, L. (1989), A Model of Foreshock Occurrence, Geophys. J. 96, 389-399.
62. ZHANG, J., BOCK, Y., JOHNSON, H., FANG, P., GENRICH, J., WILLIAMS, S., WDOWINSKI S., and BEHR, J. (1997), Southern California Permanent GPS Geodetic Array: Error Analysis of Daily Position Estimates and Site Velocities, J. Geophys. Res. 102, 18,035-18,055.