Estimation of seismic moment tensors using variational inference machine
learning
Abstract
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.