Spatial fractal evolutions and hierarchies for microearthquakes in central Greece

Pure and Applied Geophysics

Volumn 154, Issue 1, 1999, Pages 73-99

  Xu, Yebang ^a   Burton, Paul W ^a  

^a UNIVERSITY OF EAST ANGLIA   (United Kingdom)

Author keywords

b values; Fractals; Greece; Hierarchy; Microearthquakes; Seismicity

Indexed keywords

FRACTAL ANALYSIS; MICROEARTHQUAKE; SEISMICITY;

GREECE;

EID: 0032967217     PISSN: 00334553     EISSN: None     Source Type: Journal    
DOI: 10.1007/s000240050222     Document Type: Article

References (43)

1. AKI, K. (1965), Maximum Likelihood Estimate of b in the Formula Log n = a - bM and its Confidence Limits, Bull. Earthquake Res. Inst. Univ. Tokyo 43, 237-239.
2. BURTON, P. W., MAKROPOULOS, K. C., MCGONIGLE, R. W., RITCHIE, M. E. A., MAIN, I. G., KOUSKOUNA, V. G., and DRAKOPOULOS, J. (1991), Contemporary Seismicity on the Nea Ankhialos Fault, Eastern Greece: Fault Parameters of Major and Minor Earthquakes, Technical Report, WL/91/29, Seismology Series, BGS, Edinburgh.
3. BURTON, P. W., MELIS, N. S., and BROOKS, M. (1995), Coseismic Crustal Deformation on a Fault Zone Defined by Microseismicity in the Pavliani Area, Central Greece, Geophys. J. Int. 123, 16-40.
4. CLARKE, P. J., DAVIES, R. R., ENGLAND, P. C., PARSONS, B. E., BILLIRIS, H., PARADISSIS, D., VEIS, G., DENYS, P. H., CROSS, P. A., ASHKENAZI, V., and BINGLEY, R. (1997), Geodetic Estimates of Seismic Hazard in the Gulf of Corinth, Geophys. Res. Lett. 24, 1303-1306.
5. DE RUBEIS, V., DIMITRIU, P., PAPADIMITRIOU, E., and TOSI, P. (1993), Recurrent Patterns in the Spatial Behaviour of Italian Seismicity Revealed by the Fractal Approach, Geophys. Res. Lett. 20, 1911-1914.
6. ECKMANN, J.-P., and RUELLE, E. (1992), Fundamental Limitations for Estimating Dimensions and Lyapunov Exponents in Dynamical Systems, Physica D 56, 185-187.
7. FEDER, J., Fractals (Plenum Press, New York 1988) 88 pp.
8. Fu, S., and LIU, B., Seismology (in Chinese) (Seismological Press, Beijing 1991).
9. GODANO, C., and CARUSO, V. (1995) Multifractal Analysis of Earthquake Catalogues, Geophys. J. Int. 121, 385-392.
10. GONZATO, G., MULARGIA, F., and MARZOCCHI, W. (1998), Practical Application of Fractal Analysis: Problems and Solutions, Geophys. J. Int. 132, 275-282.
11. GRASSBERGER, P. (1983), Generalized Dimension of Strange Attractors, Physica D 9, 189-208.
12. GRASSBERGER, P., and PROCACCIA, I. (1983a), Measuring the Strangeness of Strange Attractors, Physica 9D, 189-208.
13. GRASSBERGER, P., and PROCACCIA, I. (1983b), Characterization of Strange Attractors, Phys. Rev. Lett. 50, 346-349.
14. HAN, W., XU, Y., and LUO, J. (1991), Seismic Fractals and Earthquake Prediction (in Chinese with English abstract), Earthquake Res. in Sichuan 3, 9-14.
15. HAN, W., XU, Y., WANG, W., and CHENG, X. (1993), The Characteristics of the Capacity Dimension and Information Dimension for the Seismic Temporal Distribution and Earthquake Prediction (in Chinese with English abstract), Acta Geophysica Sinica 36, 195-202.
16. HENDERSON, J. R., and MAIN, I. G. (1992), A Simple Fracture-mechanical Model for the Evolution of Seismicity, Geophys. Res. Lett. 19(4), 365-368.
17. HENDERSON, J. R., MAIN, I. G., MEREDITH, P. G., and SAMMONDS, P. R. (1992), The Evolution of Seismicity at Parkfield, California - Observation, Experiment and a Fracture-Mechanical Interpretation, J. Struct. Geol. 14(8/9), 905-913.
18. HENDERSON, J. R., MAIN, I. G., PEARCE, R. G., and TAKEYA, M. (1994), Seismicity in Northeastern Brazil: Fractal Clustering and the Evolution of the b Value, Geophys. J. Int. 116, 217-226.
19. HIRATA, T. (1989), A Correlation between the b Value and the Fractal Dimension of Earthquakes, J. Geophys. Res. 94, 7507-7514.
20. KAYE, B. H., Image analysis techniques for characterizing fractal structures. In The Fractal Approach to Heterogeneous Chemistry (ed. D. Avnir) (John Wiley and Sons, Chichester 1989) pp. 55-66.
21. LUO, J., HAN, W., XU, Y., LIU, D., and PENG, T. (1989), Dynamic Characteristics of Seismic Precursor: Does There Exist a Seismic Precursor Atractor? (in Chinese), Investigation on Nature 29, 21-27.
22. LUO, J., XU, Y., and HAN, W. (1991a), Application of the Theory about Dissipative Structures in Seismology (in Chinese), Recent Development in Seismology in the World 3, 27-30.
23. LUO, J., XU, Y., and HAN, W. (1991b), The Temporal Self-organization of Earthquake Activity (in Chinese with English abstract), J. Shanghai. Inst. Mech. Eng. 13(s1), 105-112.
24. MAIN, I. G. (1992), Damage Mechanics with Long-range Interactions: Correlation between the Seismic b Value and the Fractal Two-point Correlation, Geophys. J. Int. 111, 531-541.
25. MAIN, I. G., MEREDITH, P. G., SAMMONDS, P. R., and JONES, C. (1990), Influence of Fractal Flaw Distributions or Rock Deformation in the Brittle Field. In Deformation Mechanisms, Rheology and Tectonics (eds. Knipe, R. J., and E. H. Rutter), Geol. Soc. London, Special Publication 54, pp. 81-96.
26. MELIS, N. S., BROOKS, M., and PEARCE, R. G. (1989). A Microearthquake Study in the Gulf of Patras, Western Greece, and its Seismotectonic Interpretation, Geophys. J. R. Astr. Soc. 98, 515-524.
27. MELIS, N. S., BURTON, P. W., and BROOKS, M. (1995), Coseismic Crustal Deformation from Microseismicity in the Patras Area, Western Greece, Geophys. J. Int. 122, 815-836.
28. MÖLLER, M., LANGE, W., MITSCHKE, F., ABRAHAM, N. B., and HÜBNER, U. (1989), Errors from Digitizing and Noise in Estimating Attractor Dimensions, Phys. Lett. A. 138(4,5), 176-182.
29. ÖNCEL, A. O., MAIN, I., ALPTEKIN, O., and COWIE, P. (1996), Temporal Variations in the Fractal Properties of Seismicity in the North Anatolian Fault Zone between 31°E and 41°E, Pure appl. geophys. 147, 147-159.
30. PAPADOPOULOS, G. A. (1993), Rupture zones of strong earthquakes in the Thessalia region, central Greece. In Proc. XXIII General Assembly of the European Seismological Commission: Activity Report 1990-1992 and Proceeding Volume II, Geophysical Institute, Czechoslovak Academy of Sciences, pp. 337-340.
31. PISARENKO, D. V., and PISARENKO, V. F. (1995), Statistical Estimation of the Correlation Dimension, Phys. Lett. A 197, 31-39.
32. SCHOLZ, C. H. (1968), The Frequency-magnitude Relation of Micro-fracturing in Rock and its Relation to Earthquakes, Bull. Seismol. Soc. Am. 58, 399-415.
33. SMALLEY, JR., R. F., CHATELAIN, J. L., TURCOTTE, D. L., and PRÉVOT, R. (1987), A Fractal Approach to the Clustering of Earthquakes: Applications to the Seismicity of the New Hebrides, Bull. Seismol. Soc. Am. 77, 1368-1381.
34. SMITH, L. A. (1988), Intrinsic Limits on Dimension Calculations, Phys. Lett. A 133, 283-288.
35. TRIFU, C., URBANCIC, T., and YOUNG, R. P. (1993), Non-similar Frequency-magnitude Distribution for M ≤ 1 Seismicity, Geophys. Res. Lett. 20, 427-430.
36. UTSU, T. (1965), A Method for Determining the Value of b in a Formula log n = a - bM Showing the Magnitude-frequency Relation for Earthquakes (in Japanese), Geophys. Bull. Hokkaido Univ. 13, 99-103.
37. VICSEK, T., Fractal Growth Phenomena (World Scientific Publishing Co., Singapore 1989).
38. Xu, Y. (1992), A Study on Characteristics of the Information Dimension D1 of the Temporal and Spatial Distributions of Earthquake in an Active Fault Zone, Acta Seismologica Sinica 5(2), 389-398.
39. Xu, Y. (1997), Properties of Microearthquakes in Continental Extensional Regimes (Kenya and Central Greece), PhD Thesis, University of East Anglia.
40. Xu, Y., and BURTON, P. W. (1995). Temporal Scaling Regions and Capacity Dimensions for Microearthquake Swarms in Greece. In Fractal Reviews in the Natural and Applied Sciences (ed. M. M. Novak) (Chapman and Hall, London 1995) pp. 292-300.
41. Xu, Y., and BURTON, P. W. (1997), Microearthquake Swarms: Scaling and Lacunarity, Geophys. J. Int. 131, F1-F8.
42. XU, Y., HAN, W., and CHENG, X. (1991), Phase transition in multifractals and seismic temporal distribution (abstract in Chinese). In Geophysical Research in China (Yearly publication: 1991), p. 217, Seismological Press, Beijing.
43. XU, Y., HAN, W., and CHENG, X., The fractal characteristics of the sequences of the present strong earthquakes along the Xianshuihe fault zone and their implication. In Proceedings of the PRC-US Bilateral Symposium on the Xianshuihe Fault Zone (ed. Symposium Proceedings Editorial Group, Seismological Press, Beijing 1992), pp. 153-162.