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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

Full-waveform inversion (FWI) is an effective method for imaging subsurface properties using sparsely recorded data. It involves solving a wave propagation problem to estimate model parameters that accurately reproduce the data. Recent…

Optimization and Control · Mathematics 2025-05-02 Ali Gholami

Full Waveform Inversion (FWI) is a successful and well-established inverse method for reconstructing material models from measured wave signals. In the field of seismic exploration, FWI has proven particularly successful in the…

Computational Engineering, Finance, and Science · Computer Science 2023-12-05 Tim Bürchner , Philipp Kopp , Stefan Kollmannsberger , Ernst Rank

Full waveform inversion (FWI) aims at estimating subsurface medium properties from measured seismic data. It is usually cast as a non-linear least-squares problem that incorporates uncertainties in the measurements. In exploration…

Optimization and Control · Mathematics 2019-04-02 Tristan van Leeuwen

Full waveform inversion (FWI) updates the velocity model by minimizing the discrepancy between observed and simulated data. However, discretization errors in numerical modeling and incomplete seismic data acquisition can introduce noise,…

Geophysics · Physics 2025-04-23 Xinru Mu , Omar M. Saad , Tariq Alkhalifah

This review explores the integration of deep learning (DL) with full-waveform inversion (FWI) for enhanced seismic imaging and subsurface characterization. It covers FWI and DL fundamentals, geophysical applications (velocity estimation,…

Geophysics · Physics 2025-02-26 Christopher Zerafa , Pauline Galea , Cristiana Sebu

We propose two preconditioned gradient direction for full waveform inversion (FWI). The first one is using time integral wavefields. The Least square problem is formulated as the time integral residual wavefields, which can partially…

Geophysics · Physics 2014-06-18 Guanghui Huang , Huazhong Wang , Haoran Ren

Full waveform inversion (FWI) iteratively updates the velocity model by minimizing the difference between observed and simulated data. Due to the high computational cost and memory requirements associated with global optimization…

Geophysics · Physics 2025-09-19 Xinru Mu , Omar M. Saad , Shaowen Wang , Tariq Alkhalifah

Efficient high-rank approximations of the Hessian can accelerate seismic full waveform inversion (FWI) and uncertainty quantification (UQ). In FWI, approximations of the inverse of the Hessian may be used as preconditioners for Newton-type…

Numerical Analysis · Mathematics 2025-08-12 Mathew Hu , Nick Alger , Rami Nammour , Omar Ghattas

Full waveform inversion (FWI) is a highly nonlinear and ill-posed problem. On one hand, it can be easily trapped in a local minimum. On the other hand, the inversion results may exhibit strong artifacts and reduced resolution because of…

Geophysics · Physics 2018-09-26 Dongzhuo Li , Jerry M. Harris

FWI seeks to achieve a high-resolution model of the subsurface through the application of multi-variate optimization to the seismic inverse problem. Although now a mature technology, FWI has limitations related to the choice of the…

Geophysics · Physics 2025-02-26 Christopher Zerafa , Pauline Galea , Cristiana Sebu

Full waveform inversion (FWI) enables us to obtain high-resolution velocity models of the subsurface. However, estimating the associated uncertainties in the process is not trivial. Commonly, uncertainty estimation is performed within the…

Geophysics · Physics 2023-05-16 Muhammad Izzatullah , Matteo Ravasi , Tariq Alkhalifah

Full waveform inversion (FWI) updates the subsurface model from an initial model by comparing observed and synthetic seismograms. Due to high nonlinearity, FWI is easy to be trapped into local minima. Extended domain FWI, including…

Numerical Analysis · Mathematics 2024-08-28 Pengliang Yang , Wei Zhou

Full waveform inversion (FWI) is a high-resolution subsurface imaging technique, but its effectiveness is limited by challenges such as noise contamination, sparse acquisition, and artifacts from multiparameter coupling. To address these…

Geophysics · Physics 2025-06-24 Feng Liu , Yaxing Li , Rui Su , Jianping Huang , Lei Bai

Full-waveform inversion (FWI), a popular technique that promises high-resolution models, has helped in improving the salt definition in inverted velocity models. The success of the inversion relies heavily on having prior knowledge of the…

Geophysics · Physics 2022-01-11 Abdullah Alali , Vladimir Kazei , Mahesh Kalita , Tariq Alkhalifah

We propose a way to favorably employ neural networks in the field of non-destructive testing using Full Waveform Inversion (FWI). The presented methodology discretizes the unknown material distribution in the domain with a neural network…

Machine Learning · Computer Science 2023-12-04 Stefan Kollmannsberger , Divya Singh , Leon Herrmann

Full waveform inversion (FWI) can be expressed in a Bayesian framework, where the associated uncertainties are captured by the posterior probability distribution (PPD). In practice, solving Bayesian FWI with sampling-based methods such as…

Geophysics · Physics 2025-11-05 Shuhua Hu , Mrinal K Sen , Zeyu Zhao , Abdelrahman Elmeliegy , Shuo Zhang

The inference of flows of material in the interior of the Sun is a subject of major interest in helioseismology. Here we apply techniques of Full Waveform Inversion (FWI) to synthetic data to test flow inversions. In this idealized setup,…

Solar and Stellar Astrophysics · Physics 2015-06-23 Shravan M Hanasoge

Full waveform inversion (FWI) aims to reconstruct subsurface velocity models from observed seismic wavefields and has recently benefited from advances in deep learning (DL). The performance of DL-based FWI critically depends on the…

Machine Learning · Computer Science 2026-03-18 Zekai Guo , Lihui Chai , Ye Li

Full Waveform Inversion (FWI) is a standard algorithm in seismic imaging. Its implementation requires the a priori choice of a number of "design parameters", such as the positions of sensors for the actual measurements and one (or more)…

Numerical Analysis · Mathematics 2024-06-25 Shaunagh Downing , Silvia Gazzola , Ivan G. Graham , Euan A. Spence