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Full-waveform inversion is a cutting-edge methodology for recovering high-resolution subsurface models. However, one of the main conventional full-waveform optimization problems challenges is cycle-skipping, usually leading us to an…

Computational Physics · Physics 2022-05-20 Muhammad Izzatullah , Tariq Alkhalifah

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

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 high-resolution seismic inversion technique popularly used in oil and gas exploration. Traditional FWI employs the $l_2$ norm measurement to minimize the misfit between observed and predicted seismic data.…

Geophysics · Physics 2025-04-03 Liangsheng He , Chao Song , Cai Liu

Elastic full-waveform inversion (EFWI) is a process used to estimate subsurface properties by fitting seismic data while satisfying wave propagation physics. The problem is formulated as a least-squares data fitting minimization problem…

Numerical Analysis · Mathematics 2024-04-12 Kamal Aghazade , Ali Gholami , Hossein S. Aghamiry , Hamid Reza Siahkoohi

Full waveform inversion (FWI) is beginning to be used to characterize weak seismic events at different scales, an example of which is microseismic event (MSE) characterization. However, FWI with unknown sources is a severely underdetermined…

Optimization and Control · Mathematics 2021-08-17 Hossein S. Aghamiry , Ali Gholami , Stéphane Operto , Alison Malcolm

In seismic exploration, sources and measurements of seismic waves on the surface are used to determine model parameters representing geophysical properties of the earth. Full-waveform inversion (FWI) is a nonlinear seismic inverse technique…

Numerical Analysis · Mathematics 2019-02-05 Yunan Yang

In recent years, deep learning-based methods have been proposed for solving inverse scattering problems (ISPs), but most of them heavily rely on data and suffer from limited generalization capabilities. In this paper, a new solving scheme…

Image and Video Processing · Electrical Eng. & Systems 2026-02-19 Yutong Du , Zicheng Liu , Bazargul Matkerim , Changyou Li , Yali Zong , Bo Qi , Jingwei Kou

Full waveform inversion (FWI) is a challenging, ill-posed nonlinear inverse problem that requires robust regularization techniques to stabilize the solution and yield geologically meaningful results, especially when dealing with sparse…

Numerical Analysis · Mathematics 2025-05-02 Ali Gholami , Silvia Gazzola

Extended full-waveform inversion (FWI) has shown promising results for accurate estimation of subsurface parameters when the initial models are not sufficiently accurate. Frequency-domain applications have shown that the augmented…

Numerical Analysis · Mathematics 2021-09-16 Ali Gholami , Hossein S. Aghamiry , Stephane Operto

Full waveform inversion (FWI) is one of a family of methods that allows the reconstruction of earth subsurface parameters from measurements of waves at or near the surface. This is a numerical optimization problem that uses the whole…

Numerical Analysis · Mathematics 2022-01-25 Mauricio A. Londoño , Francisco J. Rodríguez-Cortés

Phase-field models have been widely used to investigate the phase transformation phenomena. However, it is difficult to solve the problems numerically due to their strong nonlinearities and higher-order terms. This work is devoted to…

Numerical Analysis · Mathematics 2024-07-23 Gang Bao , Chang Ma , Yuxuan Gong

Full-waveform inversion (FWI) plays a vital role in geoscience to explore the subsurface. It utilizes the seismic wave to image the subsurface velocity map. As the machine learning (ML) technique evolves, the data-driven approaches using ML…

Machine Learning · Computer Science 2024-01-09 Junhuan Yang , Hanchen Wang , Yi Sheng , Youzuo Lin , Lei Yang

Three-dimensional seismic full-waveform inversion (FWI) provides high-fidelity subsurface velocity models but is restricted by high computational cost, strong nonlinearity, cycle-skipping, and heavy dependence on initial models. Although…

Geophysics · Physics 2026-03-19 Guoxin Chen , Wenjie Wang , Haiyang Lu , Jinxin Chen

Extracting subsurface velocity information from seismic data is mainly an undetermined problem that requires injecting a priori information to constrain the inversion process. Machine learning has offered a platform to do so through the…

Geophysics · Physics 2025-10-03 Xiao Ma , Shaowen Wang , Tariq Alkhalifah

Deep neural networks (DNNs) have been introduced for designing wireless policies by approximating the mappings from environmental parameters to solutions of optimization problems. Considering that labeled training samples are hard to…

Information Theory · Computer Science 2020-08-12 Chengjian Sun , Changyang She , Chenyang Yang

We introduce physics informed neural networks -- neural networks that are trained to solve supervised learning tasks while respecting any given law of physics described by general nonlinear partial differential equations. In this two part…

Artificial Intelligence · Computer Science 2017-11-30 Maziar Raissi , Paris Perdikaris , George Em Karniadakis

We present a technique for reconstructing subsurface velocity model changes from time-lapse seismic survey data using full-waveform inversion (FWI). The technique is based on simultaneously inverting multiple survey vintages, with model…

Geophysics · Physics 2014-09-30 Musa Maharramov , Biondo Biondi

Full Wave Inversion (FWI) imaging scheme has many applications in engineering, geoscience and medical sciences. In this paper, a surrogate deep learning FWI approach is presented to quantify properties of materials using stress waves. Such…

Materials Science · Physics 2020-01-08 Reza Rashetnia , Mohammad Pour-Ghaz

Many phenomena in physics, including light, water waves, and sound, are described by wave equations. Given their coefficients, wave equations can be solved to high accuracy, but the presence of the wavelength scale often leads to large…

Computational Physics · Physics 2025-02-19 Timo Gahlmann , Philippe Tassin
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