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Fractal dimension analysis for seismicity spatial and temporal distribution in the circum-Pacific seismic belt

  • Lirong Yin
  • Xiaolu LiEmail author
  • Wenfeng Zheng
  • Zhengtong Yin
  • Lihong Song
  • Lijun Ge
  • Qingchuan Zeng
Article
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Abstract

In this study, we present the fractal characteristics of the spatio-temporal sequence for seismic activity in the circum-Pacific seismic belt and vicinity regions, which is one of the most active seismic zones worldwide. We select the seismic dataset with magnitude \(M\ge 4.4\) in the circum-Pacific seismic belt region and its vicinity from 1900–2015 as the objects. Based on the methods of capacity dimension and information dimension, using \(\hbox {ln}(1/\delta )\)\(\hbox {ln }N(\delta )\) of the relationship to evaluate and explain, the results show that (1) in the circum-Pacific seismic belt and the surrounding areas, for the seismic activity with magnitude \(M\ge 4.4\), the time series dimension is 0.63, the spatial distribution dimension is 0.52 and they have fractal structure. (2) For the earthquakes with \(M\ge 7.0\), the time series dimension increases greatly, which indicates that the cluster characteristics in time is greatly reduced. And the earthquakes with magnitude \(7.0 \ge M \ge 4.4\) have significant impact on the characterized by clustering in time in the study region. (3) There is significant fractal structure at spatio-temporal distribution of earthquakes in the circum-Pacific seismic belt. It reveals the tectonic movements keep continuous, obvious anisotropism characteristic of geological structure and the distribution of surface stress field is spatio-temporal heterogeneity in the study area.

Keywords

Fractal dimension analysis circum-Pacific seismic belt spatio-temporal distribution 

Notes

Acknowledgements

Research supported by Fundamental Research Funds for the Central Universities (Nos. SWU117063, SWU116183 and XDJK2011C086); Funds for International S&T Cooperation and Exchange R&D Project of Sichuan Province (Grant No. 2017HH0054); Opening Fund of State Key Laboratory of Virtual Reality Technology and Systems (Beihang University) (Grant No. BUAA–VR–16KF–11).

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Copyright information

© Indian Academy of Sciences 2019

Authors and Affiliations

  • Lirong Yin
    • 1
    • 2
  • Xiaolu Li
    • 1
    • 3
    Email author
  • Wenfeng Zheng
    • 4
  • Zhengtong Yin
    • 5
  • Lihong Song
    • 4
  • Lijun Ge
    • 4
  • Qingchuan Zeng
    • 4
  1. 1.Chongqing Engineering Research Center for Remote Sensing Big Data Application, School of Geographical SciencesSouthwest UniversityChongqingP. R. China
  2. 2.Department of Geographical and Sustainability SciencesUniversity of IowaIowa CityUSA
  3. 3.Research Base of Karst Eco-environments at Nanchuan in Chongqing, Ministry of Nature Resources, School of Geographical SciencesSouthwest UniversityChongqingP. R. China
  4. 4.School of AutomationUniversity of Electronic Science and Technology of ChinaChengduP. R. China
  5. 5.School of Resources and EnvironmentGuizhou UniversityGuiyangP. R. China

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