Semi-supervised Surface Wave Tomography with Wasserstein
Cycle-consistent GAN: Method and Application on Southern California
Plate Boundary Region
Abstract
Machine learning algorithm is applied to shear wave velocity (Vs)
inversion in surface wave tomography, where a set of 1-D Vs profiles and
the corresponding synthetic dispersion curves are used in network
training. Previous studies showed that performances of a trained network
depend on the input training dataset with limited diversity and
therefore lack generalizability. Here, we present an improved
semi-supervised algorithm-based network that takes both model-generated
and observed surface wave dispersion data in the training process. The
algorithm is termed Wasserstein cycle-consistent generative adversarial
networks (Wcycle-GAN). Different from conventional supervised
approaches, the GAN architecture extracts feature from the observed
surface wave dispersion data that can compensate the limited diversity
of the training dataset generated synthetically. The cycle-consistency
enforces the reconstruction ability of input data from predicted model
using a separate data generating network, while Wasserstein metric
provides improved training stability and enhanced spatial smoothness of
the output Vs model. We demonstrate improvements by applying the
Wcycle-GAN method to 4076 pairs of fundamental mode Rayleigh wave phase
and group velocity dispersion curves obtained in Southern California.
The final 3-D Vs model from the best trained network shows large-scale
features that are consistent with the surface geology. Our Vs model has
smaller data misfits, yields better spatial smoothing, and provides
sharper images of structures near faults in the top 15 km, suggesting
the proposed Wcycle-GAN algorithm has stronger training stability and
generalization abilities compared to conventional machine learning
methods.