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Estimation of seismic moment tensors using variational inference machine learning
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  • Andreas Steinberg,
  • Hannes Vasyura-Bathke,
  • Peter Gaebler,
  • Matthias Ohrnberger,
  • Lars Ceranna
Andreas Steinberg
Federal Institute for Geosciences and Natural Resources

Corresponding Author:[email protected]

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Hannes Vasyura-Bathke
University of Potsdam
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Peter Gaebler
BGR Hannover
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Matthias Ohrnberger
University of Potsdam
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Lars Ceranna
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We present an approach for estimating in near real-time full moment tensors of earthquakes and their parameter uncertainties based on short time windows of recorded seismic waveform data by considering deep learning of Bayesian Neural Networks. The individual neural networks are trained on synthetic seismic waveform data and corresponding known earthquake moment-tensor parameters. A monitoring volume has been pre-defined to form a three-dimensional grid of locations and to train a Bayesian neural network for each grid point.
Variational inference on several of these networks allows us to consider several sources of error and how they affect the estimated full moment-tensor parameters and their uncertainties. In particular, we demonstrate how estimated parameter distributions are affected by uncertainties in the earthquake centroid location in space and time as well as in the assumed Earth structure model.
We apply our approach on seismic waveform recordings of aftershocks of the Ridgecrest 2019 earthquake with moment magnitudes ranging from Mw 2.7 to Mw 5.5. Overall, good agreement has been achieved between inferred parameter ensembles and independently estimated parameters using classical methods. Our developed approach is fast and robust, and therefore, suitable for operational earthquake early warning systems.
Oct 2021Published in Journal of Geophysical Research: Solid Earth volume 126 issue 10. 10.1029/2021JB022685