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Diffusion magnetic resonance imaging (MRI) is the only imaging modality for non-invasive movement detection of in vivo water molecules, with significant clinical and research applications. Diffusion weighted imaging (DWI) MRI acquired by…

In the Oil and Gas industry, estimating a subsurface velocity field is an essential step in seismic processing, reservoir characterization, and hydrocarbon volume calculation. Full-waveform inversion (FWI) velocity modeling is an iterative…

Machine Learning · Computer Science 2021-09-24 Saraiva Marcus , Forechi Avelino , de Oliveira Neto Jorcy , DelRey Antonio , Rauber Thomas

Bayesian full waveform inversion (FWI) offers uncertainty-aware subsurface models; however, posterior sampling directly on observed seismic shot records is rarely practical at the field scale because each sample requires numerous…

Geophysics · Physics 2025-12-16 Mohammad H. Taufik , Tariq Alkhalifah

Full waveform inversion (FWI) is capable of reconstructing subsurface properties with high resolution from seismic data. However, conventional FWI faces challenges such as cycle-skipping and high computational costs. Recently, deep learning…

Geophysics · Physics 2024-10-30 Hao Zhang , Yuanyuan Li , Jianping Huang

Full-waveform inversion (FWI) is today a standard process for the inverse problem of seismic imaging. PDE-constrained optimization is used to determine unknown parameters in a wave equation that represent geophysical properties. The…

Numerical Analysis · Mathematics 2021-04-02 Bjorn Engquist , Yunan Yang

Seismic full waveform inversion (FWI) is a powerful technique to generate high resolution images of the Earth's interior. However, significant uncertainty exists in all FWI solutions due to imperfect acquisition geometries, inherent noise…

Geophysics · Physics 2026-03-13 Xuebin Zhao , Andrew Curtis

Spatially 3-dimensional seismic full waveform inversion (3D FWI) is a highly nonlinear and computationally demanding inverse problem that constructs 3D subsurface seismic velocity structures using seismic waveform data. To characterise…

Geophysics · Physics 2025-04-21 Xuebin Zhao , Andrew Curtis

Ultrasonic imaging methods often assume linear direct models, while in reality, many nonlinear phenomena are present, e.g. multiple reflections. A family of imaging methods called Full Waveform Inversion (FWI), which has been developed in…

Signal Processing · Electrical Eng. & Systems 2026-04-23 Daniel Rossato , Thiago Alberto Rigo Passarin , Gustavo Pinto Pires , Daniel Rodrigues Pipa

Full-waveform inversion (FWI) is a powerful technique for reconstructing high-resolution material parameters from seismic or ultrasound data. The conventional least-squares (\(L^{2}\)) misfit suffers from pronounced non-convexity that leads…

Optimization and Control · Mathematics 2025-08-26 Matej Neumann , Yunan Yang

Phased array ultrasound is a widely used technique in non-destructive testing. Using piezoelectric elements as both sources and receivers provides a significant gain in information and enables more accurate defect detection. When all…

Computational Engineering, Finance, and Science · Computer Science 2026-01-13 Tim Bürchner , Simon Schmid , Lukas Bergbreiter , Ernst Rank , Stefan Kollmannsberger , Christian U. Grosse

Data acquisition is changing to incorporate more components of the recorded wavefield. An example of this is so-called vector data in which both the pressure and particle velocity are recorded in marine data. We present a vector acoustic…

Geophysics · Physics 2019-10-15 Polina Zheglova , Alison Malcolm

Full waveform inversion (FWI) is widely used in geophysics to reconstruct high-resolution velocity maps from seismic data. The recent success of data-driven FWI methods results in a rapidly increasing demand for open datasets to serve the…

Machine Learning · Computer Science 2023-06-27 Chengyuan Deng , Shihang Feng , Hanchen Wang , Xitong Zhang , Peng Jin , Yinan Feng , Qili Zeng , Yinpeng Chen , Youzuo Lin

In recent years, uncertainty-aware full waveform inversion (FWI) has received increasing attention, with a growing emphasis on producing informative uncertainty estimates alongside inversion results. Bayesian inference methods--particularly…

Geophysics · Physics 2025-05-14 Yunduo Li , Yijie Zhang , Xueyu Zhu , Jinghuai Gao

We propose Nonlinear Dipole Inversion (NDI) for high-quality Quantitative Susceptibility Mapping (QSM) without regularization tuning, while matching the image quality of state-of-the-art reconstruction techniques. In addition to avoiding…

Image and Video Processing · Electrical Eng. & Systems 2019-10-01 Daniel Polak , Itthi Chatnuntawech , Jaeyeon Yoon , Siddharth Srinivasan Iyer , Jongho Lee , Peter Bachert , Elfar Adalsteinsson , Kawin Setsompop , Berkin Bilgic

In recent years, Full-Waveform Inversion (FWI) has been extensively used to derive high-resolution subsurface velocity models from seismic data. However, due to the nonlinearity and ill-posed nature of the problem, FWI requires a good…

Medical Imaging (MI) tasks, such as accelerated parallel Magnetic Resonance Imaging (MRI), often involve reconstructing an image from noisy or incomplete measurements. This amounts to solving ill-posed inverse problems, where a satisfactory…

Image and Video Processing · Electrical Eng. & Systems 2024-07-31 George Yiasemis , Nikita Moriakov , Jan-Jakob Sonke , Jonas Teuwen

Full waveform inversion is a high-resolution subsurface imaging technique, in which full seismic waveforms are used to infer subsurface physical properties. We present a novel, target-enclosing, full-waveform inversion framework based on an…

Geophysics · Physics 2022-08-17 Polina Zheglova , Matteo Ravasi , Ivan Vasconcelos , Alison Malcolm

Seismic full-waveform inversion (FWI) uses full seismic records to estimate subsurface velocity structure. This requires a highly nonlinear and nonunique inverse problem to be solved, and Bayesian methods have been used to quantify…

Geophysics · Physics 2021-04-13 Xin Zhang , Andrew Curtis

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…

Computational Engineering, Finance, and Science · Computer Science 2021-08-26 Keith J. Roberts , Alexandre Olender , Lucas Franceschini , Robert C. Kirby , Rafael S. Gioria , Bruno S. Carmo

Full waveform inversion (FWI) infers the subsurface structure information from seismic waveform data by solving a non-convex optimization problem. Data-driven FWI has been increasingly studied with various neural network architectures to…

Machine Learning · Computer Science 2024-01-17 Min Zhu , Shihang Feng , Youzuo Lin , Lu Lu