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作者:

Ding, Yi (Ding, Yi.) | Chen, Su (Chen, Su.) | Li, Xiaojun (Li, Xiaojun.) | Jin, Liguo (Jin, Liguo.) | Luan, Shaokai (Luan, Shaokai.) | Sun, Hao (Sun, Hao.)

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摘要:

Forward modeling of seismic waves using physics-informed neural networks (PINNs) has attracted much attention. However, a notable challenge arises when modeling seismic wave propagation in large domains (i.e., a half-space), PINNs may encounter the issue of "soft constraint failure". To address this problem, we propose a novel framework called physics-constrained neural networks (PCNNs) specifically designed for modeling seismic wave propagation in a half-space. The method of images is incorporated to effectively implement the free stress boundary conditions of the Earth's surface, leading to the successful propagation of plane waves and cylindrical waves in a half-space. We analyze the training dynamics of neural networks when solving two-dimensional (2D) wave equations from the neural tangent kernel (NTK) perspective. An adaptive training algorithm is introduced to mitigate the unbalanced gradient flow dynamics of the different components of the loss function of PINNs/ PCNNs. Furthermore, to tackle the complex behavior of seismic waves in layered media, a sequential training strategy is considered to enhance network scalability and solution accuracy. The results of numerical experiments demonstrate the accuracy and effectiveness of our approach.

关键词:

Seismic wave propagation simulation Method of images Physics-informed neural networks Neural tangent kernel

作者机构:

  • [ 1 ] [Ding, Yi]Beijing Univ Technol, Key Lab Urban Secur & Disaster Engn, Minist Educ, Beijing 100124, Peoples R China
  • [ 2 ] [Chen, Su]Beijing Univ Technol, Key Lab Urban Secur & Disaster Engn, Minist Educ, Beijing 100124, Peoples R China
  • [ 3 ] [Li, Xiaojun]Beijing Univ Technol, Key Lab Urban Secur & Disaster Engn, Minist Educ, Beijing 100124, Peoples R China
  • [ 4 ] [Luan, Shaokai]Beijing Univ Technol, Key Lab Urban Secur & Disaster Engn, Minist Educ, Beijing 100124, Peoples R China
  • [ 5 ] [Li, Xiaojun]China Earthquake Adm, Inst Geophys, Beijing 100081, Peoples R China
  • [ 6 ] [Jin, Liguo]China Earthquake Adm, Inst Geophys, Beijing 100081, Peoples R China
  • [ 7 ] [Sun, Hao]Renmin Univ China, Beijing 100034, Peoples R China

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来源 :

COMPUTERS & GEOSCIENCES

ISSN: 0098-3004

年份: 2023

卷: 181

4 . 4 0 0

JCR@2022

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SCOPUS被引频次: 8

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