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Full waveform inversion (FWI) delivers high-resolution images of the subsurface by minimizing iteratively the misfit between the recorded and calculated seismic data. It has been attacked successfully with the Gauss-Newton method and…

地球物理 · 物理学 2016-11-07 Lingchen Zhu , Entao Liu , James H. McClellan

Full Waveform Inversion (FWI) is an inverse problem for estimating the wave velocity distribution in a given domain, based on observed data on the boundaries. The inversion is computationally demanding because we are required to solve…

机器学习 · 计算机科学 2024-05-29 Matan Goren , Eran Treister

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…

地球物理 · 物理学 2025-02-26 Christopher Zerafa , Pauline Galea , Cristiana Sebu

Solving optimization problems with transient PDE-constraints is computationally costly due to the number of nonlinear iterations and the cost of solving large-scale KKT matrices. These matrices scale with the size of the spatial…

数值分析 · 数学 2023-05-09 Eric C. Cyr

Constrained least squares problems arise in a variety of applications, and many iterative methods are already available to compute their solutions. This paper proposes a new efficient approach to solve nonnegative linear least squares…

数值分析 · 数学 2017-01-09 Silvia Gazzola , Yves Wiaux

In this paper, we present numerical methods suitable for solving convex quadratic Fractional Differential Equation (FDE) constrained optimization problems, with box constraints on the state and/or control variables. We develop an…

最优化与控制 · 数学 2021-02-01 Spyridon Pougkakiotis , John W. Pearson , Santolo Leveque , Jacek Gondzio

The real-time solution of parametric optimization problems is critical for applications that demand high accuracy under tight real-time constraints, such as model predictive control. To this end, this work presents a learning-based…

机器学习 · 计算机科学 2025-11-17 Lukas Lüken , Sergio Lucia

We describe a new method, full waveform inversion by model extension (FWIME) that recovers accurate acoustic subsurface velocity models from seismic data, when conventional methods fail. We leverage the advantageous convergence properties…

地球物理 · 物理学 2022-05-31 Guillaume Barnier , Ettore Biondi , Robert G. Clapp , 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…

材料科学 · 物理学 2020-01-08 Reza Rashetnia , Mohammad Pour-Ghaz

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…

地球物理 · 物理学 2014-09-30 Musa Maharramov , Biondo Biondi

Full waveform inversion (FWI) is a powerful yet computationally expensive technique that can yield subsurface models at high resolution. Randomly selected shots ("mini-batches") can be used to approximate the misfit and the gradient of FWI,…

地球物理 · 物理学 2020-05-25 Bharath Shekar

Full waveform inversion (FWI) commonly stands for the state-of-the-art approach for imaging subsurface structures and physical parameters, however, its implementation usually faces great challenges, such as building a good initial model to…

地球物理 · 物理学 2023-04-05 Jian Sun , Kristopher Innanen

Full waveform inversion (FWI) is a powerful tool for reconstructing material fields based on sparsely measured data obtained by wave propagation. For specific problems, discretizing the material field with a neural network (NN) improves the…

机器学习 · 计算机科学 2024-08-02 Divya Shyam Singh , Leon Herrmann , Qing Sun , Tim Bürchner , Felix Dietrich , Stefan Kollmannsberger

This paper investigates unsupervised learning of Full-Waveform Inversion (FWI), which has been widely used in geophysics to estimate subsurface velocity maps from seismic data. This problem is mathematically formulated by a second order…

机器学习 · 计算机科学 2022-03-22 Peng Jin , Xitong Zhang , Yinpeng Chen , Sharon Xiaolei Huang , Zicheng Liu , Youzuo Lin

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.…

地球物理 · 物理学 2025-04-03 Liangsheng He , Chao Song , Cai Liu

Full-Waveform Inversion (FWI) is a high-resolution technique used in geophysics to evaluate the physical parameters and construct subsurface models in a noisy and limited data scenario. The ill-posed nature of the FWI turns this a…

地球物理 · 物理学 2026-02-13 Paulo D. S. de Lima , Gilberto Corso , Mauro S. Ferreira , João M. de Araújo

Computing the regularized solution of Bayesian linear inverse problems as well as the corresponding regularization parameter is highly desirable in many applications. This paper proposes a novel iterative method, termed the Projected Newton…

数值分析 · 数学 2025-04-08 Haibo Li

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…

地球物理 · 物理学 2025-09-19 Xinru Mu , Omar M. Saad , Shaowen Wang , Tariq Alkhalifah

As the number of processor cores on supercomputers becomes larger and larger, algorithms with high degree of parallelism attract more attention. In this work, we propose a novel space-time coupled algorithm for solving an inverse problem…

数值分析 · 计算机科学 2015-08-26 Xiaomao Deng , Xiao-chuan Cai , Jun Zou

This paper introduces a non-variational quantum algorithm designed to solve a wide range of combinatorial optimisation problems, including constrained and non-binary problems. The algorithm leverages an engineered interference process…

量子物理 · 物理学 2024-08-02 Tavis Bennett , Lyle Noakes , Jingbo Wang