Seismic traveltime simulation for variable velocity models using physics-informed Fourier neural operator

Fuente: arXiv
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Autores principales: Song, Chao, Zhao, Tianshuo, Waheed, Umair bin, Liu, Cai, You, Tian
Formato: Preprint
Publicado: 2023
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author Song, Chao
Zhao, Tianshuo
Waheed, Umair bin
Liu, Cai
You, Tian
author_facet Song, Chao
Zhao, Tianshuo
Waheed, Umair bin
Liu, Cai
You, Tian
contents Seismic traveltime is critical information conveyed by seismic waves, widely utilized in various geophysical applications. Conventionally, the simulation of seismic traveltime involves solving the eikonal equation. However, the efficiency of traditional numerical solvers is hindered, as they are typically capable of simulating seismic traveltime for only a single source at a time. Recently, deep learning tools, particularly physics-informed neural networks (PINNs), have proven effective in simulating seismic traveltimes for multiple sources. Nonetheless, PINNs face challenges such as limited generalization capabilities across different models and difficulties in training convergence. To address these issues, we have developed a method for simulating multi-source seismic traveltimes in variable velocity models using a deep-learning technique, known as the physics-informed Fourier neural operator (PIFNO). The PIFNO-based method for seismic traveltime generation takes both velocity and background traveltime as inputs, generating the perturbation traveltime as the output. This method incorporates a factorized eikonal equation as the loss function and relies solely on physical laws, eliminating the need for labeled training data. We demonstrate that our proposed method is not only effective in calculating seismic traveltimes for velocity models used during training but also shows promising prediction capabilities for test velocity models. We validate these features using velocity models from the OpenFWI dataset.
format Preprint
id arxiv_https___arxiv_org_abs_2311_03751
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Seismic traveltime simulation for variable velocity models using physics-informed Fourier neural operator
Song, Chao
Zhao, Tianshuo
Waheed, Umair bin
Liu, Cai
You, Tian
Geophysics
Seismic traveltime is critical information conveyed by seismic waves, widely utilized in various geophysical applications. Conventionally, the simulation of seismic traveltime involves solving the eikonal equation. However, the efficiency of traditional numerical solvers is hindered, as they are typically capable of simulating seismic traveltime for only a single source at a time. Recently, deep learning tools, particularly physics-informed neural networks (PINNs), have proven effective in simulating seismic traveltimes for multiple sources. Nonetheless, PINNs face challenges such as limited generalization capabilities across different models and difficulties in training convergence. To address these issues, we have developed a method for simulating multi-source seismic traveltimes in variable velocity models using a deep-learning technique, known as the physics-informed Fourier neural operator (PIFNO). The PIFNO-based method for seismic traveltime generation takes both velocity and background traveltime as inputs, generating the perturbation traveltime as the output. This method incorporates a factorized eikonal equation as the loss function and relies solely on physical laws, eliminating the need for labeled training data. We demonstrate that our proposed method is not only effective in calculating seismic traveltimes for velocity models used during training but also shows promising prediction capabilities for test velocity models. We validate these features using velocity models from the OpenFWI dataset.
title Seismic traveltime simulation for variable velocity models using physics-informed Fourier neural operator
topic Geophysics
url https://arxiv.org/abs/2311.03751