Complexity of seismic process; measuring and applications - A review

Tectonophysics

Volumn 431, Issue 1-4, 2007, Pages 49-60

  Chelidze, T ^a   Matcharashvili, T ^a  

^a Georgian Academy of Science MNodia Institute of Geophysics   (Georgia)

Author keywords

Measuring complexity; Percolation; Seismic process; Strain sensitivity; Time series

Indexed keywords

EARTHQUAKE EVENT; EARTHQUAKE MAGNITUDE; EARTHQUAKE RUPTURE; FRACTAL ANALYSIS; SEISMIC METHOD; SEISMOLOGY; SENSITIVITY ANALYSIS; STRAIN; THEORETICAL STUDY; TIME SERIES ANALYSIS;

CAUCASUS; EURASIA;

EID: 33846510907     PISSN: 00401951     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.tecto.2006.05.029     Document Type: Article

References (72)

1. Abarbanel H., Brown R., Sidorovich J., and Tsimring L. The analysis of observed chaotic data in physical systems. Rev. Mod. Phys. 65 (1993) 1331-1340
2. Arcangelis de L. Randomness in breaking thresholds. In: Herrmann H., and Roux S. (Eds). Statistical Models for the Fracture of Disordered Media (1990), Elsevier 229-260
3. Bak P., Tang C., and Wiesenfeld K. Self-organized criticality. Phys. Rev., A 38 (1988) 364-374
4. Berge P., Pomeau Y., and Vidal C. Order Within Chaos (1984), J. Wiley, NY
5. Bonnet E., Bour O., Odling N., Davy P., Main I., Cowie P., and Berkowitz B. Scaling of fracture systems in geological media. Rev. Geophys. 39 3 (2001) 347-383
6. Chelidze T. Percolation and fracture. Phys. Earth Planet. Inter. 28 (1982) 93-101
7. Chelidze T. Percolation Theory in the Mechanics of Geomaterials (1987), Nauka, Moscow (in Russian)
8. Chelidze T. Fractal damage mechanics of geomaterials. Terra Nova 5 (1993) 421-437
9. Chelidze T., and Gueguen Y. Pressure-induced percolation transitions in composites. J. Phys. D: Appl. Phys. 31 (1998) 2877-2885
10. Chelidze T., and Kolesnikov Yu. On the physical interpretation of transitional amplitude in percolation theory. J. Phys., A 17 (1984) L791-L793
11. Chelidze T., and Lursmanashvili O. Electromagnetic and mechanical control of slip. Nonlinear Process. Geophys. 20 (2003) 1-9
12. Chelidze T., and Matcharashvili. Electromagnetic control of earthquake dynamics?. Comput. Geosci. 29 (2003) 1-7
13. Chelidze T., Matcharashvili T., Gogiashvili J., Lursmanashvili O., and Devidze M. Phase synchronization of slip in laboratory slider system. Nonlinear Process. Geophys. 12 (2005) 1-8
14. Chelidze T., Gueguen Y., and Le Ravalec M. From classic to fractal mechanics. In: Frantziskonis (Ed). NATO ARW "PROBAMAT - 21th Century" (1998) 197-231
15. Chelidze T., Varamashvili N., Devidze M., Chelidze Z., Chikhladze V., and Matcharashvili T. Laboratory study of electromagnetic initiation of slip. Ann. Geophys. 45 (2002) 587-598
16. Chelidze T., Matcharashvili T., Gogiashvili J., Lursmanashvili O., and Devidze M. Triggering and synchronization of stick slip: waiting times and frequency-energy distribution. Tectonophysics 424 (2006) 139-155
17. Chelidze T., Kolesnikov Yu., and Matcharashvili. Seismological criticality concept and percolation model of fracture. Geophys. J. Int. 164 (2006) 125-136
18. Christensen R. Mechanics of Composite Materials (1979), Wiley & Sons
19. Dimitriu P., Scordulis E., and Karacostas V. Multifractal analysis of the Arnea, Greece seismicity with potential implications for earthquake prediction. Natural 21 (2000) 277-295
20. Eckmann J., and Ruelle D. Ergodic theory of chaos and strange attractors. Rev. Mod. Phys. 57 (1985) 617-656
21. Eckmann J.P., Kamphorst S.O., and Ruelle D. Recurrence plots of dynamical systems. Europhys. Lett. 4 (1987) 9773-9977
22. Feder J. Fractals (1988), Plenum Press, NY
23. Geller R. Earthquake prediction: a critical review. Geophys. J. Int. 131 (1997) 425-451
24. Glover P.W., Gomez J.B., Meredith P.G., et al. Modelling the stress-strain behaviour of saturated rocks undergoing triaxial deformation using complex electrical conductivity measurements. Surv. Geophys. 17 (1996) 307-330
25. Goltz C. Fractals and Chaos in Seismology (1998), Springer
26. Gomberg J., Reasenberg P., Bodin P., and Harris R. Earthquake triggering by seismic wave following the Landers and Hector Mine earthquake. Nature 411 (2001) 462-466
27. Gueguen Y., Chelidze T., and Le Ravalec M. Microstructures, percolation thresholds and rock mechanical properties. Tectonophysics 279 (1997) 23-35
28. Hanai T. Electrical properties of emulsions. In: Sherman P. (Ed). Emulsion Science (1968), Academic Press, NY
29. In: Herrmann H., and Roux S. (Eds). Statistical Models for the Fracture of Disordered Media (1990), North-Holland, Amsterdam
30. Hill D., Johnston M., Langbein J., and Bilham R. Response of Long Valley caldera to the M = 7.3 Landers, Califoria, earthquake. J.G.R. 100 B7 (1995) 12985-13006
31. Jeffrey J.H. Chaos game vizualization of sequences. Comput. Graph. 16 (1992) 25-33
32. Jones J.W. Scale-dependent resistivity measurements of Oracle granite. Geophys. Res. Lett. 22 11 (1995) 1453-1456
33. Kagan Y.Y. Observational evidence for earthquakes as a nonlinear dynamic process. Physica, D 77 (1994) 160-192
34. Kagan Y. Are earthquakes predictable?. Geophys. J. Int. 131 (1997) 505-526
35. Kanamori H., and Brodsky E. The physics of earthquakes. Rep. Prog. Phys. 67 (2004) 1429-1496
36. Kantz H., and Schreiber T. Nonlinear Time Series Analysis (1997), Cambridge University Press
37. Kaspar F., and Schuster H.G. Easily calculable measure for the complexity of spatiotemporal patterns. Phys. Rev., A. 36 2 (1987) 842-848
38. Keilis-Borok V.I. The lithosphere of the Earth as a nonlinear system with implications for earthquake prediction. Rev. Geophys. 28 (1990) 9-34
39. Keilis-Borok V.I. Symptoms of instability in a system of earthquake-prone faults. Physica, D 77 (1994) 193-199
40. King C.Y., Azuma S., Igarashi G., Ohno M., Saito H., and Wakita H. Earthquake-related water-level changes at 16 closely clustered wells in Tono, central Japan. J. Geophys. Res. 104 B6 (1999) 13,073-13,082
41. Kitagawa Y., and Koizumi N. Comparison of postseismic groundwater temperature changes with earthquake-induced volumetric strain release: Yudani hot spring, Japan. Geophys. Res. Lett. 23 22 (1996) 3147-3150
42. Korvin G. Fractal Models in the Earth Sciences (1992), Elsevier, NY
43. Main I. Statistical physics, seismogenesis, and seismic hazard. Rev. Geophys. 34 (1996) 433-462
44. Main I. Applicability of time-to-failure analysis to accelerated strain before earthquakes and volcanic eruptions. Geophys. J. Int. 139 (1999) F1-F6
45. Mandelbrot B. The Fractal Geometry of Nature (1982), Freeman, San-Francisco
46. Matcharashvili T., Chelidze T., and Javakhishvili Z. Nonlinear analysis of seismicity of Caucasian region. J. Georgian Geophys. Soc. Iss. (A), Phys. Solid Earth 2 (1996) 33-48
47. Matcharashvili T., Chelidze T., and Javakhishvili Z. Nonlinear analysis of magnitude and interevent time interval sequences for earthquakes of Caucasian region. Nonlinear Process. Geophys. 7 (2000) 9-19
48. Matcharashvili T., Chelidze T., Javakhishvili Z., and Ghlonti E. Detecting differences in dynamics of small earthquakes temporal distribution before and after large events. Comput. Geosci. 28 (2002) 693-700
49. Muir Wood R. Earthquakes, strain-cycling and the mobilization of fluids. In: Parnell (Ed). Geofluids: Origin, Migration and Evolution of Fluids in Sedimentary Basins (1994), The Geological Society, London 85-98
50. Okada Y. Internal deformation due to shear and tensile faults in a half-space. Bull. Seismol. Soc. Am. 82 (1992) 1018-1040
51. In: Ott E., Sauer T., and Yorke J. (Eds). Coping with Chaos (1994), J. Wiley&Sons, NY
52. Packard N.H., Crutchfield J.P., Farmer J.D., and Shaw R.S. Geometry from a time series. Phys. Rev. Lett. l.45 (1980) 712-716
53. Pikovsky A., Rosenblum M., and Kurths J. Synchronization (2003), Cambridge Univ. Press
54. Pisarenko V.F., and Pisarenko D.V. Spectral properties of multifractal measures. Phys. Lett., A. 153 (1991) 169-172
55. Rapp P.E., Albano A.M.N., Schmah T.I., and Farwell L.A. Filtered noise can mimic low-dimensional chaotic attractors. Phys. Rev., E. 47 (1993) 2289-2297
56. Sadovski M.A., and Pisarenko V.F. Seismic Process in Block Environment (1991), M. Nauka 96 (in Russian)
57. Sahimi M. Applications of Percolation Theory (1994), Taylor & Francis
58. Savich A.I. Investigation of phys-chemical properties of rocks on different scales. Earthquakes Prediction, Dushanbe-Moscow vol. 4 (1983/1984) 273-289
59. Scholtz C. The Mechanics of Earthquakes and Faulting (1990), Cambridge Univ. Press
60. Schulze-Makuch D. Method developed for extrapolating scale behavior. EOS 78 (1997) 3-4
61. Shermergor T.D. Theory of Elasticity of Micro Non-Heterogeneous Environment vol. 399 (1977)
62. Sibson R. Crustal stress, faulting and fluid flow. In: Parnell J. (Ed). Geofluids: Origin, Migration and Evolution of Fluids in Sedimentary Basins (1994), The Geological Society, London 69-84
63. Silver P., and Wakita H. Earthquake Precursors. Science 275 (1996) 77
64. Sobolev G., and Ponomarev A. Physics and Precursors of Earthquakes (2003), Nauka, Moscow (in Russian)
65. Sornette D. Critical Phenomena in Natural Sciences (2000), Springer
66. Stauffer D., and Aharony A. Introduction to Percolation Theory (1994), Taylor&Francis, London
67. Tarasov N.T. Crustal seismicity variation under electric action. Trans. (Dokl.) Russ. Acad. Sci. Earth Sci. Sect. 353A 3 (1997) 445-448 (in Russian)
68. Tarasov N., Tarasova N., Avagimov A., and Zeigarnik V. The effect of high-power electromagnetic pulses on the seismicity of the Central Asia Kazakhstan. Vulkanol. Sejsmol. 4-5 (1999) 152-160 (in Russian)
69. Theiler J., and Prichard D. Using "surrogate-surrogate data" to calibrate the actual rate of false positives in tests for nonlinearity in time series. In: Cutler D., and Kaplan D.T. (Eds). Nonlinear Dynamics and Time Series vol. 11 (1997), Fields Institute Communications 99-113
70. Theiler J., Eubank S., Longtin A., Galdrikian B., and Farmer J.D. Testing for nonlinearity in time series: the method of surrogate data. Physica, D 58 (1992) 77-94
71. Turcotte D. Fractals and Chaos in Geology and Geophysics (1992), Cambridge
72. Zbilut J.P., and Webber Jr. C.L. Embeddings and delays as derived from quantification of recurrence plots. Physics Lett., A 171 (1992) 199-203