Abstract
The noise model based on á trous wavelet algorithm produces a multi-scale expression of image through the combination of wavelet transform and a testing model of statistical significance. This kind of expression not only gives the formation and location of image structure on different scales, but also eliminates the influence of noise. Since the algorithm does not need any priori hypotheses, it is suitable for the data with complex structure. The research line is employed in this paper to analyze the spatial activity of earthquake. The method of how to recognize and describe the multi-scale space activity of earthquake is emphatically discussed in this paper. Taking typical sequences in Southwest China as research cases, we systematically study the structure characters of spatial activity of earthquake on different scales. Results show that multi-scale space structure to some extent possesses indicative effect on strong epicenters. And the foreshock anomalies of Songpan seismic sequence also reveal interesting pattern during the spatial-temporal evolvement.
Similar content being viewed by others
References
Bethoux N, Ouillon G, Nicolas M. 1998. The instrumental seismicity of the western Alps: Spatio-temporal pattern analysed with the wavelet transform [J]. Geophys J Int, 135: 177–194.
Center for Analysis and Prediction of State Seismological Bureau ed. 1989. A Catalogue of earthquake in western China (1970–1975, M≥1) [M]. Beijing: Seismological Press, 1–292 (in Chinese).
Center for Analysis and Prediction of State Seismological Bureau ed. 1989. A Catalogue of earthquake in western China (1976–1979, M≥1) [M]. Beijing: Seismological Press, 1–361 (in Chinese).
CHENG Wan-zheng. 1999. Mathematical basis, correlativity and selection of seismicity parameters [J]. Acta Seismologica Sinica, 12(2): 183–192.
DENG Yong-lu, LIANG Zhi-shun. 1998. Random point process and its application [M]. Beijing: Science Press, 1–16 (in Chinese).
DIAO Shou-zhong, GUO Ai-xiang, WANG Hong-wei. 1994. Characteristics of early background seismicity and predictive of strong earthquake risk region with M≥7 [J]. Earthquake research in plateau, 6(2): 40–46 (in Chinese).
FU Cheng-yi. 1971. Several perspectives on the occurrence of earthquake [J]. Earthquake front, 8: 36–39 (in Chinese).
GAO De-zhang, HOU Zun-ze, TANG Jian. 2000. Multiscale analysis of gravity anomalies on east China sea and adjacent regions [J]. Chinese journal of geophysics, 43(6): 842–849 (in Chinese).
HU Chang-hua, ZHANG Jun-bo, XIA Jun, et al. 2000. Matlab Based System Analysis and Design-Wavelet analysis [M]. Xi’an: Xidian university press, 1–271 (in Chinese).
MA Zong-jin, FU Zheng-xiang, ZHANG Ying-zhen, et al. 1982. Nine greatest earthquakes in China from 1966 to 1976 [M]. Beijing: Seismological Press, 1–157 (in Chinese).
Mallat S. 1989. A theory for multiresolution signal decomposition: the wavelet representation [J]. IEEE Trans On Pattern Anal Mach Intell, 11(7): 674–693.
Murtagh F, Starck J L. 1998. Pattern clustering based on noise modeling in wavelet space [J]. Pattern Recognition, 31(7): 847–855.
PEI Tao, BAO Zheng-yu. 1998. Research on noise erasing methods with geochemical data [J]. Geology Geochemistry, 26(4): 86–90 (in Chinese).
PENG Yu-hua. 2000. Wavelet transform and engineering application [M]. Beijing: Science Press, 28–59 (in Chinese).
QIN Qian-qing, YANG Zong-hai. 1998. Applied wavelet analysis [M]. Xi’an: Xidian university press, 1–35 (in Chinese).
Shensa M J. 1992. The discrete wavelet transform: wedding the á trous and Mallat algorithms [J]. IEEE Trans Signal Processing, 40: 2 464–2 482.
Slezak E, Bijaoui A, Mars G. 1990. Identification of structures from galaxy counts: use of the wavelet transform [J]. Astronomy Astrophys, 227: 301–316.
Starck J L, Murtagh F, Bijaoui A. 1998. Image processing and data analysis [M]. London: Cambridge University Press, 1–46.
Wyss M, Toya Y. 2000. Is background seismicity produced at a stationary poissonian rate [J]. BSSA, 90(5): 1 174–1 187.
YANG Fu-sheng. 2000. Engineering analysis and application of wavelet transform [M]. Beijing: Science Press, 1–260 (in Chinese).
YANG Wen-cai, SHI Zhi-qun, HOU Zun-ze, et al. 2001. Discrete wavelet transform for multiple decomposition of gravity anomalies [J]. Chinese journal of geophysics, 44(4): 534–541 (in Chinese).
ZHANG Zhao-cheng. 1990a. Earthquake cases in China (1966–1975) [M]. Beijing: Seismological Press, 117–129 (in Chinese).
ZHANG Zhao-cheng. 1990b. Earthquake cases in China (1976–1980) [M]. Beijing: Seismological Press, 29–164 (in Chinese).
Author information
Authors and Affiliations
Additional information
Foundation item: National Nature Science Foundation of China (40101021) and the 863 Program (2002AA135230) and the Innovation Foundation of CAS (CXIOG-D00-06).
About this article
Cite this article
Pei, T., Yang, M., Zhang, Js. et al. Multi-scale expression of spatial activity anomalies of earthquakes and its indicative significance on the space and time attributes of strong earthquakes. Acta Seimol. Sin. 16, 292–303 (2003). https://doi.org/10.1007/s11589-003-0033-6
Received:
Revised:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/s11589-003-0033-6