학술논문

Rapid Seismic Waveform Modeling and Inversion With Neural Operators
Document Type
Periodical
Source
IEEE Transactions on Geoscience and Remote Sensing IEEE Trans. Geosci. Remote Sensing Geoscience and Remote Sensing, IEEE Transactions on. 61:1-12 2023
Subject
Geoscience
Signal Processing and Analysis
Mathematical models
Numerical models
Propagation
Computational modeling
Training
Position measurement
Numerical simulation
Full-waveform inversion
geophysics
machine learning
partial differential equations (PDEs)
waveform modeling
Language
ISSN
0196-2892
1558-0644
Abstract
Seismic waveform modeling is a powerful tool for determining earth structure models and unraveling earthquake rupture processes, but it is usually computationally expensive. We introduce a scheme to vastly accelerate these calculations with a recently developed machine learning paradigm called the neural operator. Once trained, these models can simulate a full wavefield at negligible cost. We use a U-shaped neural operator to learn a general solution operator to the 2-D elastic wave equation from an ensemble of numerical simulations performed with random velocity models and source locations. We show that full-waveform modeling with neural operators is nearly two orders of magnitude faster than conventional numerical methods, and more importantly, the trained model enables accurate simulation for velocity models, source locations, and mesh discretization distinctly different from the training dataset. The method also enables convenient full-waveform inversion with automatic differentiation.