Physics-Guided Self-Supervised Learning Full Waveform Inversion with Pretraining on Simultaneous Source

Full waveform inversion (FWI) is an established precise velocity estimation tool for seismic exploration. Machine learning-based FWI could plausibly circumvent the long-standing cycle-skipping problem of traditional model-driven methods. The physics-guided self-supervised FWI is appealing in that it...

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Main Authors: Qiqi Zheng, Meng Li, Bangyu Wu
Format: Article
Language:English
Published: MDPI AG 2025-06-01
Series:Journal of Marine Science and Engineering
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Online Access:https://www.mdpi.com/2077-1312/13/6/1193
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author Qiqi Zheng
Meng Li
Bangyu Wu
author_facet Qiqi Zheng
Meng Li
Bangyu Wu
author_sort Qiqi Zheng
collection DOAJ
description Full waveform inversion (FWI) is an established precise velocity estimation tool for seismic exploration. Machine learning-based FWI could plausibly circumvent the long-standing cycle-skipping problem of traditional model-driven methods. The physics-guided self-supervised FWI is appealing in that it avoids having to make tedious efforts in terms of label generation for supervised methods. One way is to employ an inversion network to convert the seismic shot gathers into a velocity model. The objective function is to minimize the difference between the recorded seismic data and the synthetic data by solving the wave equation using the inverted velocity model. To further improve the efficiency, we propose a two-stage training strategy for the self-supervised learning FWI. The first stage is to pretrain the inversion network using a simultaneous source for a large-scale velocity model with high efficiency. The second stage is switched to modeling the separate shot gathers for an accurate measurement of the seismic data to invert the velocity model details. The inversion network is a partial convolution attention modified UNet (PCAMUNet), which combines local feature extraction with global information integration to achieve high-resolution velocity model estimation from seismic shot gathers. The time-domain 2D acoustic wave equation serves as the physical constraint in this self-supervised framework. Different loss functions are used for the two stages, that is, the waveform loss with time weighting for the first stage (simultaneous source) and the hybrid waveform with time weighting and logarithmic envelope loss for the second stage (separate source). Comparative experiments demonstrate that the proposed approach improves both inversion accuracy and efficiency on the Marmousi2 model, Overthrust model, and BP model tests. Moreover, the method exhibits excellent noise resistance and stability when low-frequency data component is missing.
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spelling doaj-art-e0079faf6fd6427ca8cddfd90233bfe22025-06-25T14:01:49ZengMDPI AGJournal of Marine Science and Engineering2077-13122025-06-01136119310.3390/jmse13061193Physics-Guided Self-Supervised Learning Full Waveform Inversion with Pretraining on Simultaneous SourceQiqi Zheng0Meng Li1Bangyu Wu2School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an 710049, ChinaDepartment of Oil and Gas Geophysics, CNPC Research Institute of Petroleum Exploration & Development, Beiing 100083, ChinaSchool of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an 710049, ChinaFull waveform inversion (FWI) is an established precise velocity estimation tool for seismic exploration. Machine learning-based FWI could plausibly circumvent the long-standing cycle-skipping problem of traditional model-driven methods. The physics-guided self-supervised FWI is appealing in that it avoids having to make tedious efforts in terms of label generation for supervised methods. One way is to employ an inversion network to convert the seismic shot gathers into a velocity model. The objective function is to minimize the difference between the recorded seismic data and the synthetic data by solving the wave equation using the inverted velocity model. To further improve the efficiency, we propose a two-stage training strategy for the self-supervised learning FWI. The first stage is to pretrain the inversion network using a simultaneous source for a large-scale velocity model with high efficiency. The second stage is switched to modeling the separate shot gathers for an accurate measurement of the seismic data to invert the velocity model details. The inversion network is a partial convolution attention modified UNet (PCAMUNet), which combines local feature extraction with global information integration to achieve high-resolution velocity model estimation from seismic shot gathers. The time-domain 2D acoustic wave equation serves as the physical constraint in this self-supervised framework. Different loss functions are used for the two stages, that is, the waveform loss with time weighting for the first stage (simultaneous source) and the hybrid waveform with time weighting and logarithmic envelope loss for the second stage (separate source). Comparative experiments demonstrate that the proposed approach improves both inversion accuracy and efficiency on the Marmousi2 model, Overthrust model, and BP model tests. Moreover, the method exhibits excellent noise resistance and stability when low-frequency data component is missing.https://www.mdpi.com/2077-1312/13/6/1193full waveform inversionphysics-guidedself-supervised learningacoustic equationsimultaneous source
spellingShingle Qiqi Zheng
Meng Li
Bangyu Wu
Physics-Guided Self-Supervised Learning Full Waveform Inversion with Pretraining on Simultaneous Source
Journal of Marine Science and Engineering
full waveform inversion
physics-guided
self-supervised learning
acoustic equation
simultaneous source
title Physics-Guided Self-Supervised Learning Full Waveform Inversion with Pretraining on Simultaneous Source
title_full Physics-Guided Self-Supervised Learning Full Waveform Inversion with Pretraining on Simultaneous Source
title_fullStr Physics-Guided Self-Supervised Learning Full Waveform Inversion with Pretraining on Simultaneous Source
title_full_unstemmed Physics-Guided Self-Supervised Learning Full Waveform Inversion with Pretraining on Simultaneous Source
title_short Physics-Guided Self-Supervised Learning Full Waveform Inversion with Pretraining on Simultaneous Source
title_sort physics guided self supervised learning full waveform inversion with pretraining on simultaneous source
topic full waveform inversion
physics-guided
self-supervised learning
acoustic equation
simultaneous source
url https://www.mdpi.com/2077-1312/13/6/1193
work_keys_str_mv AT qiqizheng physicsguidedselfsupervisedlearningfullwaveforminversionwithpretrainingonsimultaneoussource
AT mengli physicsguidedselfsupervisedlearningfullwaveforminversionwithpretrainingonsimultaneoussource
AT bangyuwu physicsguidedselfsupervisedlearningfullwaveforminversionwithpretrainingonsimultaneoussource