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Benford's law as mass movement detector in seismic signals
  • +5
  • Qi Zhou,
  • Hui Tang,
  • Jens Martin Turowski,
  • Jean Braun,
  • Michael Dietze,
  • Fabian Walter,
  • Ci-Jian Yang,
  • Sophie Lagarde
Qi Zhou
Helmholtz Centre Potsdam GFZ German Research Centre for Geosciences

Corresponding Author:[email protected]

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Hui Tang
Helmholtz Centre Potsdam GFZ German Research Centre for Geosciences
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Jens Martin Turowski
Helmholtz Centre Potsdam GFZ German Research Centre for Geosciences
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Jean Braun
Helmholtz Centre Potsdam GFZ German Research Centre for Geosciences
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Michael Dietze
Georg-August-University Göttingen
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Fabian Walter
Swiss Federal Institute for Forest, Snow and Landscape Research (WSL)
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Ci-Jian Yang
Helmholtz Centre Potsdam GFZ German Research Centre for Geosciences
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Sophie Lagarde
Helmholtz Centre Potsdam GFZ German Research Centre for Geosciences
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Abstract

Seismic instruments placed outside of spatially extensive hazard zones can be used to rapidly sense a range of mass movements. However, it remains challenging to automatically detect specific events of interest. Benford's law, which states that first non-zero-digit of given datasets follow a specific probability distribution, can provide a computationally cheap approach to identifying anomalies in large datasets and potentially be used for event detection. Here, we select raw seismic signals to derive the first-digit distribution. The seismic signals generated by debris flows, landslides, lahars, and glacier-lake-outburst floods follow Benford's law, while those generated by ambient noise, rockfalls, and bedload transports do not. Focusing on debris flows, our Benford's-law-based detector is comparable to an existing random forest method for the Illgraben, Switzerland, but requires only single station data and three non-dimensional parameters. We suggest this computationally cheap, novel technique offers an alternative for event recognition and potentially for real-time warnings.
20 Jul 2023Submitted to ESS Open Archive
20 Jul 2023Published in ESS Open Archive