IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v488y2017icp177-186.html
   My bibliography  Save this article

Multifractal analysis of 2001 Mw7.7 Bhuj earthquake sequence in Gujarat, Western India

Author

Listed:
  • Aggarwal, Sandeep Kumar
  • Pastén, Denisse
  • Khan, Prosanta Kumar

Abstract

The 2001 Mw7.7 Bhuj mainshock seismic sequence in the Kachchh area, occurring during 2001 to 2012, has been analyzed using mono-fractal and multi-fractal dimension spectrum analysis technique. This region was characterized by frequent moderate shocks of Mw≥5.0 for more than a decade since the occurrence of 2001 Bhuj earthquake. The present study is therefore important for precursory analysis using this sequence. The selected long-sequence has been investigated first time for completeness magnitude Mc 3.0 using the maximum curvature method. Multi-fractal Dq spectrum (Dq∼q) analysis was carried out using effective window-length of 200 earthquakes with a moving window of 20 events overlapped by 180 events. The robustness of the analysis has been tested by considering the magnitude completeness correction term of 0.2 to Mc 3.0 as Mc 3.2 and we have tested the error in the calculus of Dq for each magnitude threshold. On the other hand, the stability of the analysis has been investigated down to the minimum magnitude of Mw≥2.6 in the sequence. The analysis shows the multi-fractal dimension spectrum Dq decreases with increasing of clustering of events with time before a moderate magnitude earthquake in the sequence, which alternatively accounts for non-randomness in the spatial distribution of epicenters and its self-organized criticality. Similar behavior is ubiquitous elsewhere around the globe, and warns for proximity of a damaging seismic event in an area. OS: Please confirm math roman or italics in abs.

Suggested Citation

  • Aggarwal, Sandeep Kumar & Pastén, Denisse & Khan, Prosanta Kumar, 2017. "Multifractal analysis of 2001 Mw7.7 Bhuj earthquake sequence in Gujarat, Western India," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 488(C), pages 177-186.
    • Handle: RePEc:eee:phsmap:v:488:y:2017:i:c:p:177-186
    DOI: 10.1016/j.physa.2017.06.022
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437117306635
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2017.06.022?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. B. Rastogi & Santosh Kumar & Sandeep Aggrawal, 2013. "Seismicity of Gujarat," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 65(2), pages 1027-1044, January.
    2. Lee, D.-S. & Goh, K.-I. & Kahng, B. & Kim, D., 2004. "Sandpile avalanche dynamics on scale-free networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 338(1), pages 84-91.
    3. Aggarwal, S.K. & Lovallo, Michele & Khan, P.K. & Rastogi, B.K. & Telesca, Luciano, 2015. "Multifractal detrended fluctuation analysis of magnitude series of seismicity of Kachchh region, Western India," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 426(C), pages 56-62.
    4. Sumer Chopra & Dinesh Kumar & B. Rastogi & Pallabee Choudhury & R. Yadav, 2013. "Estimation of seismic hazard in Gujarat region, India," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 65(2), pages 1157-1178, January.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Pastén, Denisse & Pavez-Orrego, Claudia, 2023. "Multifractal time evolution for intraplate earthquakes recorded in southern Norway during 1980–2021," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Asim Bashir & Dhiman Basu, 2018. "Revisiting probabilistic seismic hazard analysis of Gujarat: an assessment of Indian design spectra," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 91(3), pages 1127-1164, April.
    2. Lahtinen, Jani & Kertész, János & Kaski, Kimmo, 2005. "Sandpiles on Watts–Strogatz type small-worlds," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 349(3), pages 535-547.
    3. Ouyang, Bo & Teng, Zhaosheng & Tang, Qiu, 2016. "Dynamics in local influence cascading models," Chaos, Solitons & Fractals, Elsevier, vol. 93(C), pages 182-186.
    4. Flores-Márquez, E.L. & Ramírez-Rojas, A. & Telesca, L., 2015. "Multifractal detrended fluctuation analysis of earthquake magnitude series of Mexican South Pacific Region," Applied Mathematics and Computation, Elsevier, vol. 265(C), pages 1106-1114.
    5. Wang, Hong-Yong & Wang, Tong-Tong, 2018. "Multifractal analysis of the Chinese stock, bond and fund markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 512(C), pages 280-292.
    6. Zhou, Jian & Coit, David W. & Felder, Frank A. & Tsianikas, Stamatis, 2023. "Combined optimization of system reliability improvement and resilience with mixed cascading failures in dependent network systems," Reliability Engineering and System Safety, Elsevier, vol. 237(C).
    7. Fan, Xingxing & Lin, Min, 2017. "Multiscale multifractal detrended fluctuation analysis of earthquake magnitude series of Southern California," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 479(C), pages 225-235.
    8. Lahmiri, Salim, 2017. "Multifractal analysis of Moroccan family business stock returns," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 486(C), pages 183-191.
    9. Sahoo, Sushanta Kumar & Katlamudi, Madhusudhanarao & Pedapudi, Chandra Sekhar, 2024. "Multifractal detrended fluctuation analysis of soil radon in the Kachchh Region of Gujarat, India: A case study of earthquake precursors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 637(C).
    10. Himanshu Mittal & Yih-Min Wu & Da-Yi Chen & Wei-An Chao, 2016. "Stochastic finite modeling of ground motion for March 5, 2012, Mw 4.6 earthquake and scenario greater magnitude earthquake in the proximity of Delhi," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 82(2), pages 1123-1146, June.
    11. Stosic, Dusan & Stosic, Darko & de Mattos Neto, Paulo S.G. & Stosic, Tatijana, 2019. "Multifractal characterization of Brazilian market sectors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 956-964.
    12. Telesca, Luciano & Toth, Laszlo, 2016. "Multifractal detrended fluctuation analysis of Pannonian earthquake magnitude series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 448(C), pages 21-29.
    13. Himanshu Mittal & Ashok Kumar, 2015. "Stochastic finite-fault modeling of M w 5.4 earthquake along Uttarakhand–Nepal border," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 75(2), pages 1145-1166, January.
    14. Lahmiri, Salim, 2017. "On fractality and chaos in Moroccan family business stock returns and volatility," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 473(C), pages 29-39.
    15. Pastén, Denisse & Pavez-Orrego, Claudia, 2023. "Multifractal time evolution for intraplate earthquakes recorded in southern Norway during 1980–2021," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
    16. Hou, Rui & Yang, Jianmei & Yao, Canzhong & McKelvey, Bill, 2015. "How does competition structure affect industry merger waves? A network analysis perspective," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 429(C), pages 140-156.
    17. Chen, Zhichao & Zheng, Changjiang & Tao, Tongtong & Wang, Yanyan, 2024. "Reliability analysis of urban road traffic network under targeted attack strategies considering traffic congestion diffusion," Reliability Engineering and System Safety, Elsevier, vol. 248(C).
    18. Jian Zhou & Weijian Zheng & Dali Wang & David W. Coit, 2024. "A resilient network recovery framework against cascading failures with deep graph learning," Journal of Risk and Reliability, , vol. 238(1), pages 193-203, February.
    19. Pallabee Choudhury & Sumer Chopra & Ketan Roy & B. Rastogi, 2014. "A review of strong motion studies in Gujarat State of western India," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 71(3), pages 1241-1257, April.
    20. Nicky Zachariou & Paul Expert & Misako Takayasu & Kim Christensen, 2015. "Generalised Sandpile Dynamics on Artificial and Real-World Directed Networks," PLOS ONE, Public Library of Science, vol. 10(11), pages 1-13, November.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:488:y:2017:i:c:p:177-186. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.