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Seismic wave propagation and inversion with Neural Operators

Yang, Yan and Gao, Angela F. and Castellanos, Jorge C. and Ross, Zachary E. and Azizzadenesheli, Kamyar and Clayton, Robert W. (2021) Seismic wave propagation and inversion with Neural Operators. . (Unpublished)

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Seismic wave propagation forms the basis for most aspects of seismological research, yet solving the wave equation is a major computational burden that inhibits the progress of research. This is exaspirated by the fact that new simulations must be performed when the velocity structure or source location is perturbed. Here, we explore a prototype framework for learning general solutions using a recently developed machine learning paradigm called Neural Operator. A trained Neural Operator can compute a solution in negligible time for any velocity structure or source location. We develop a scheme to train Neural Operators on an ensemble of simulations performed with random velocity models and source locations. As Neural Operators are grid-free, it is possible to evaluate solutions on higher resolution velocity models than trained on, providing additional computational efficiency. We illustrate the method with the 2D acoustic wave equation and demonstrate the method's applicability to seismic tomography, using reverse mode automatic differentiation to compute gradients of the wavefield with respect to the velocity structure. The developed procedure is nearly an order of magnitude faster than using conventional numerical methods for full waveform inversion.

Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription Paper
Castellanos, Jorge C.0000-0002-0103-6430
Ross, Zachary E.0000-0002-6343-8400
Azizzadenesheli, Kamyar0000-0001-8507-1868
Clayton, Robert W.0000-0003-3323-3508
Additional Information:The authors thank Jack Muir for helpful comments on an early version of the manuscript.
Group:Center for Geomechanics and Mitigation of Geohazards (GMG), Division of Geological and Planetary Sciences, Seismological Laboratory
Subject Keywords:wave propagation, forward model, inverse tomography, Fourier neural operator
Record Number:CaltechAUTHORS:20211006-164248015
Persistent URL:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:111241
Deposited By: Tony Diaz
Deposited On:06 Oct 2021 16:49
Last Modified:15 Nov 2022 19:07

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