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Extended formulation of Full Waveform Inversion (FWI), called Wavefield Reconstruction Inversion (WRI), offers potential benefits of decreasing the nonlinearity of the inverse problem by replacing the explicit inverse of the ill-conditioned…

最优化与控制 · 数学 2020-05-18 Hossein S. Aghamiry , Ali Gholami , Stéphane Operto

Intelligent fault diagnosis has been increasingly improved with the evolution of deep learning (DL) approaches. Recently, the emerging graph neural networks (GNNs) have also been introduced in the field of fault diagnosis with the goal to…

信号处理 · 电气工程与系统科学 2023-03-28 Tianfu Li , Chuang Sun , Olga Fink , Yuangui Yang , Xuefeng Chen , Ruqiang Yan

Full-waveform inversion (FWI) is a high-resolution and computationally intensive imaging technique to reconstruct unknown parameters in the computational model in which the waves propagate; however, an accurate model of only part of this…

最优化与控制 · 数学 2022-03-25 Hossein S. Aghamiry , Ali Gholami , Stephane Operto , Alison Malcolm

An accurate velocity model is essential to make a good seismic image. Conventional methods to perform Velocity Model Building (VMB) tasks rely on inverse methods, which, despite being widely used, are ill-posed problems that require intense…

Time-lapse seismic full-waveform inversion (FWI) provides estimates of dynamic changes in the subsurface by performing multiple seismic surveys at different times. Since FWI problems are highly non-linear and non-unique, it is important to…

地球物理 · 物理学 2023-08-21 Xin Zhang , Andrew Curtis

Deep Operator Networks (DeepONets) have recently emerged as powerful data-driven frameworks for learning nonlinear operators, particularly suited for approximating solutions to partial differential equations. Despite their promising…

机器学习 · 计算机科学 2026-04-21 Arth Sojitra , Mrigank Dhingra , Omer San

Operator learning has become a powerful tool in machine learning for modeling complex physical systems governed by partial differential equations (PDEs). Although Deep Operator Networks (DeepONet) show promise, they require extensive data…

机器学习 · 计算机科学 2024-12-09 Xinling Yu , Sean Hooten , Ziyue Liu , Yequan Zhao , Marco Fiorentino , Thomas Van Vaerenbergh , Zheng Zhang

Seismic acoustic impedance inversion is one of the most challenging tasks in geophysical exploration. Many studies have proposed the use of deep learning for processing; however, most of them are limited by factors such as seismic wavelets…

地球物理 · 物理学 2025-12-15 Junheng Peng , Xiaowen Wang , Yingtian Liu , Yong Li , Mingwei Wang

Source footprints represent an inherent problem to full-waveform inversion (FWI). They are caused by the high data sensitivity to the model parameters in the vicinity of the seismic sources and can be exacerbated by source-related errors in…

地球物理 · 物理学 2025-06-12 Milad Bader , Robert G. Clapp , Kurt T. Nihei , Biondo Biondi

Spiking neural networks (SNNs) offer an energy-efficient alternative to conventional deep learning by emulating the event-driven processing manner of the brain. Incorporating Transformers with SNNs has shown promise for accuracy. However,…

神经与进化计算 · 计算机科学 2024-09-05 Yuetong Fang , Ziqing Wang , Lingfeng Zhang , Jiahang Cao , Honglei Chen , Renjing Xu

Full waveform inversion (FWI) has recently become a favorite technique for the inverse problem of finding properties in the earth from measurements of vibrations of seismic waves on the surface. Mathematically, FWI is PDE constrained…

数值分析 · 数学 2018-10-23 Björn Engquist , Yunan Yang

High-Frequency (HF) signals are ubiquitous in the industrial world and are of great use for monitoring of industrial assets. Most deep learning tools are designed for inputs of fixed and/or very limited size and many successful applications…

机器学习 · 计算机科学 2022-03-03 Gabriel Michau , Gaetan Frusque , Olga Fink

Reconstructing high-fidelity fluid flow fields from sparse sensor measurements is vital for many science and engineering applications but remains challenging because of dimensional disparities between state and observational spaces. Due to…

流体动力学 · 物理学 2025-12-11 Hiep Vo Dang , Phong C. H. Nguyen

Full waveform inversion (FWI) is a nonlinear waveform matching procedure, which suffers from cycle skipping when the initial model is not kinematically-accurate enough. To mitigate cycle skipping, wavefield reconstruction inversion (WRI)…

最优化与控制 · 数学 2019-10-29 Hossein S. Aghamiry , Ali Gholami , Stéphane Operto

Recent developments in application of deep learning models to acoustic Full Waveform Inversion (FWI) are marked by the use of diffusion models as prior distributions for Bayesian-like inference procedures. The advantage of these methods is…

机器学习 · 计算机科学 2025-06-19 A. S. Stankevich , I. B. Petrov

We simulate the response of acoustic seismic waves in horizontally layered media using a deep neural network. In contrast to traditional finite-difference modelling techniques our network is able to directly approximate the recorded seismic…

地球物理 · 物理学 2024-06-21 Benjamin Moseley , Andrew Markham , Tarje Nissen-Meyer

Full Waveform Inversion (FWI) is a promising technique for achieving high-resolution imaging in medical ultrasound. However, conventional FWI methods suffer from issues related to computational efficiency, dependence on initial models, and…

医学物理 · 物理学 2025-10-15 Qiang Li , Heyu Ma , Chengcheng Liu , Dean Ta

In this article, continuous Galerkin finite elements are applied to perform full waveform inversion (FWI) for seismic velocity model building. A time-domain FWI approach is detailed that uses meshes composed of variably sized triangular…

计算工程、金融与科学 · 计算机科学 2021-08-26 Keith J. Roberts , Alexandre Olender , Lucas Franceschini , Robert C. Kirby , Rafael S. Gioria , Bruno S. Carmo

Full waveform inversion (FWI) is an iterative identification process that serves to minimize the misfit of model-based simulated and experimentally measured wave field data, with the goal of identifying a field of parameters for a given…

计算工程、金融与科学 · 计算机科学 2023-12-05 Tim Bürchner , Philipp Kopp , Stefan Kollmannsberger , Ernst Rank

Partial differential equation (PDE) constrained optimization problems such as seismic full waveform inversion (FWI) frequently arise in the geoscience and related fields. For such problems, many observations are usually gathered by multiple…

地球物理 · 物理学 2022-05-04 Kamal Aghazade , Hossein S. Aghamiry , Ali Gholami , Stephane Operto