Benford's law as mass movement detector in seismic signals
- Qi Zhou,
- Hui Tang,
- Jens Martin Turowski,
- Jean Braun,
- Michael Dietze,
- Fabian Walter,
- Ci-Jian Yang,
- Sophie Lagarde
Hui Tang
Helmholtz Centre Potsdam GFZ German Research Centre for Geosciences
Author ProfileJens Martin Turowski
Helmholtz Centre Potsdam GFZ German Research Centre for Geosciences
Author ProfileJean Braun
Helmholtz Centre Potsdam GFZ German Research Centre for Geosciences
Author ProfileFabian Walter
Swiss Federal Institute for Forest, Snow and Landscape Research (WSL)
Author ProfileCi-Jian Yang
Helmholtz Centre Potsdam GFZ German Research Centre for Geosciences
Author ProfileSophie Lagarde
Helmholtz Centre Potsdam GFZ German Research Centre for Geosciences
Author ProfileAbstract
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
Sep 2024Published in Journal of Geophysical Research: Earth Surface volume 129 issue 9. 10.1029/2024JF007691