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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

GPR full-waveform inversion optimizes the subsurface property model iteratively to match the entire waveform information. However, the model gradients derived from wavefield continuation often contain errors, such as ghost values and…

Objectives: Full-waveform inversion (FWI) is a high-resolution geophysical imaging technique that reconstructs subsurface velocity models by iteratively minimizing the misfit between predicted and observed seismic data. However, under…

Machine Learning · Computer Science 2026-03-17 Xinyi Zhang , Caiyun Liu , Jie Xiong , Qingfeng Yu

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 Waveform Inversion (FWI) is a widely used method in seismic data processing, capable of estimating models that represent the characteristics of the geological layers of the subsurface. Because it works with a massive amount of data,…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-22 Felipe H. S. da Silva , João B. Fernandes , Idalmis M. Sardina , Tiago Barros , Samuel Xavier-de-Souza , Italo A. S. Assis

Full waveform inversion (FWI) aims to reconstruct unknown physical coefficients in wave equations using the wavefield data generated from multiple incoming sources. In this work, we propose an offline-online computational strategy for…

Numerical Analysis · Mathematics 2026-01-14 Wen Ding , Kui Ren , Lu Zhang

We present Lift and Relax for Waveform Inversion (LRWI), an approach that mitigates the local minima issue in seismic full waveform inversion (FWI) via a combination of two convexification techniques. The first technique (Lift) extends the…

Optimization and Control · Mathematics 2021-09-08 Zhilong Fang , Laurent Demanet

Full-Waveform Inversion 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…

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

Full waveform inversion (FWI) has the potential to provide high-resolution subsurface model estimations. However, due to limitations in observation, e.g., regional noise, limited shots or receivers, and band-limited data, it is hard to…

Geophysics · Physics 2023-11-30 Fu Wang , Xinquan Huang , Tariq Alkhalifah

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) has now become a widely accepted tool to obtain high-resolution velocity models from seismic data. Typically, the velocity model in its discrete form is represented on a rectangular grid, and we solve for the…

Geophysics · Physics 2022-01-25 Reetam Biswas , Mrinal K. Sen

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

Full Waveform Inversion (FWI) is a powerful technique for estimating high-resolution subsurface velocity models by minimizing the discrepancy between modeled and observed seismic data. However, the oscillatory nature of seismic waveforms…

The Lagrange multiplier method has proven highly effective for mitigating the ill-conditioning of full waveform inversion (FWI), enabling robust and computationally efficient algorithms that converge to accurate velocity models even from…

Geophysics · Physics 2025-10-01 Ali Gholami , Kamal Aghazade , Akshay Vishwakarma

Full Waveform Inversion can be made immune to cycle skipping by matching the recorded data arbitrarily well from inaccurate subsurface models. To achieve this goal, the simulated wavefields can be computed in an extended search space as the…

Regularization is necessary for solving nonlinear ill-posed inverse problems arising in different fields of geosciences. The base of a suitable regularization is the prior expressed by the regularizer, which can be non-adaptive or adaptive…

Optimization and Control · Mathematics 2020-09-15 Hossein S. Aghamiry , Ali Gholami , Stéphane Operto

We propose and test a method to reduce the dimensionality of Full Waveform Inversion (FWI) inputs as computational cost mitigation approach. Given modern seismic acquisition systems, the data (as input for FWI) required for an…

Machine Learning · Computer Science 2026-01-06 Maayan Gelboim , Amir Adler , Mauricio Araya-Polo

We introduce a generalization of time-domain wavefield reconstruction inversion to anisotropic acoustic modeling. Wavefield reconstruction inversion has been extensively researched in recent years for its ability to mitigate cycle skipping.…

Geophysics · Physics 2020-04-17 Mathias Louboutin , Gabrio Rizzuti , Felix J. Herrmann

Implicit full waveform inversion (IFWI) introduces implicit neural representations to parameterize the subsurface velocity model as a continuous function of spatial coordinates, which alleviates the dependence on the initial model and…

Geophysics · Physics 2026-05-05 Zefeng Wang , Shijun Cheng , Weijian Mao , Wei Ouyang , Huanhuan Tang

The lack of low frequency information and a good initial model can seriously affect the success of full waveform inversion (FWI), due to the inherent cycle skipping problem. Computational low frequency extrapolation is in principle the most…

Geophysics · Physics 2022-10-14 Hongyu Sun , Laurent Demanet