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Automatic Differentiation-Based Full Waveform Inversion With Flexible Workflows-
Article in a journal
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Area Geophysics |
Author(s)
Feng Liu
, Haipeng Li
, Guangyuan Zou
, Junlun Li
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Published in
Journal of Geophysical Research: Machine Learning and Computation |
Year 2025 |
Abstract Abstract Full waveform inversion (FWI) is able to construct high-resolution subsurface models by iteratively minimizing discrepancies between observed and simulated seismic data. However, its implementation can be rather involved for complex wave equations, objective functions, or regularization. Recently, automatic differentiation (ad) has proven to be effective in simplifying solutions of various inverse problems, including FWI. In this study, we present an open-source ad-based FWI framework (ADFWI), which is designed to simplify the design, development, and evaluation of novel approaches in FWI with flexibility. The ad-based framework not only includes forword modeling and associated gradient computations for wave equations in various types of media from isotropic acoustic to vertically or horizontally transverse isotropic elastic, but also incorporates a suite of objective functions, regularization techniques, and optimization algorithms. By leveraging state-of-the-art ad, objective functions such as soft dynamic time warping and Wasserstein distance, which are difficult to apply in traditional FWI are also easily integrated into ADFWI. In addition, ADFWI is integrated with deep learning for implicit model reparameterization via neural networks, which not only introduces learned regularization but also allows rapid estimation of uncertainty through dropout. To manage high memory demands in large-scale inversion associated with ad, the proposed framework adopts strategies such as mini-batch and checkpointing. Through tests on synthetic and field data, we demonstrate the novelty, practicality and robustness of ADFWI, which can be used to address challenges in FWI and as a workbench for prompt experiments and development of new inversion strategies. |
AD Tools ADFWI |
BibTeX
@ARTICLE{
Liu2025ADB,
author = "Liu, Feng and Li, Haipeng and Zou, Guangyuan and Li, Junlun",
title = "Automatic Differentiation-Based Full Waveform Inversion With Flexible Workflows",
journal = "Journal of Geophysical Research: Machine Learning and Computation",
volume = "2",
number = "1",
pages = "e2024JH000542",
keywords = "automatic differentiation, full waveform inversion, wave equation, deep prior,
uncertainty estimation with dropout, flexible workflow",
doi = "10.1029/2024JH000542",
abstract = "Abstract Full waveform inversion (FWI) is able to construct high-resolution
subsurface models by iteratively minimizing discrepancies between observed and simulated seismic
data. However, its implementation can be rather involved for complex wave equations, objective
functions, or regularization. Recently, automatic differentiation (AD) has proven to be effective in
simplifying solutions of various inverse problems, including FWI. In this study, we present an
open-source AD-based FWI framework (ADFWI), which is designed to simplify the design, development,
and evaluation of novel approaches in FWI with flexibility. The AD-based framework not only includes
forword modeling and associated gradient computations for wave equations in various types of media
from isotropic acoustic to vertically or horizontally transverse isotropic elastic, but also
incorporates a suite of objective functions, regularization techniques, and optimization algorithms.
By leveraging state-of-the-art AD, objective functions such as soft dynamic time warping and
Wasserstein distance, which are difficult to apply in traditional FWI are also easily integrated
into ADFWI. In addition, ADFWI is integrated with deep learning for implicit model
reparameterization via neural networks, which not only introduces learned regularization but also
allows rapid estimation of uncertainty through dropout. To manage high memory demands in large-scale
inversion associated with AD, the proposed framework adopts strategies such as mini-batch and
checkpointing. Through tests on synthetic and field data, we demonstrate the novelty, practicality
and robustness of ADFWI, which can be used to address challenges in FWI and as a workbench for
prompt experiments and development of new inversion strategies.",
year = "2025",
ad_area = "Geophysics",
ad_tools = "ADFWI"
}
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