GEO-PHLGMar 19, 2025

Ambient Noise Full Waveform Inversion with Neural Operators

arXiv:2503.15013v36 citationsh-index: 41Journal of Geophysical Research: Solid Earth
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This work addresses the problem of high computational costs in seismic hazard assessment for geophysicists, representing an incremental application of existing neural operator methods to a new domain.

The paper tackled the computational expense of seismic wave propagation simulations by applying neural operators to full waveform inversion, demonstrating their first use on a real seismic dataset from the Los Angeles area.

Numerical simulations of seismic wave propagation are crucial for investigating velocity structures and improving seismic hazard assessment. However, standard methods such as finite difference or finite element are computationally expensive. Recent studies have shown that a new class of machine learning models, called neural operators, can solve the elastodynamic wave equation orders of magnitude faster than conventional methods. Full waveform inversion is a prime beneficiary of the accelerated simulations. Neural operators, as end-to-end differentiable operators, combined with automatic differentiation, provide an alternative approach to the adjoint-state method. State-of-the-art optimization techniques built into PyTorch provide neural operators with greater flexibility to improve the optimization dynamics of full waveform inversion, thereby mitigating cycle-skipping problems. In this study, we demonstrate the first application of neural operators for full waveform inversion on a real seismic dataset, which consists of several nodal transects collected across the San Gabriel, Chino, and San Bernardino basins in the Los Angeles metropolitan area.

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