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Fractal analysis of shallow and intermediate-depth seismicity of Hindu Kush

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  • Hayat, Umar
  • Barkat, Adnan
  • Ali, Aamir
  • Rehman, Khaista
  • Sifat, Shazia
  • Iqbal, Talat

Abstract

Statistical seismology helps in understanding the underlying seismicity properties using some well-known scaling relations that characterize different aspects of earthquake distribution. Among these scaling relations the Hurst (H) exponent has been extensively used to demonstrate the fractal properties of earthquake activity. In this study, we investigate the long-range correlations of seismicity parameters of shallow and intermediate-depth earthquakes of the Hindu Kush region using H statistics. The H index is computed for time window of 200 events with a slide of 15 data points on a complete and de-clustered catalog (1960–2007) prepared by Rehman et al. (2017). The long-range characteristics of seismicity are explored using size, time, space, depth and energy release. For shallow seismicity, the persistency (0.5 ≤ H ≤ 1) is found to be dominant except in a few periods of random walk. Contrary to this, intermediate-depth events show an evident change in H index around the time of major seismic events. Furthermore, the comparison of fractal behaviour of shallow and intermediate-depth seismicity confirms a notable difference in statistical properties. Our results also serve as a baseline study for seismicity analysis using multi-fractal approach for this region.

Suggested Citation

  • Hayat, Umar & Barkat, Adnan & Ali, Aamir & Rehman, Khaista & Sifat, Shazia & Iqbal, Talat, 2019. "Fractal analysis of shallow and intermediate-depth seismicity of Hindu Kush," Chaos, Solitons & Fractals, Elsevier, vol. 128(C), pages 71-82.
    • Handle: RePEc:eee:chsofr:v:128:y:2019:i:c:p:71-82
    DOI: 10.1016/j.chaos.2019.07.029
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    References listed on IDEAS

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    Cited by:

    1. Muir, Callum & Cortez, Jordan & Grigolini, Paolo, 2020. "Interacting faults in california and hindu kush," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
    2. García-Miguel, Carmen & San Martín, Jesús, 2021. "Covering fractals with constant radius tiles: Distribution functions and their implications for resource management," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).

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