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Seismic acoustic impedance plays a crucial role in lithological identification and subsurface structure interpretation. However, due to the inherently ill-posed nature of the inversion problem, directly estimating impedance from post-stack…

Machine Learning · Computer Science 2025-06-17 Jie Chen , Hongling Chen , Jinghuai Gao , Chuangji Meng , Tao Yang , XinXin Liang

Accurate prediction of shallow water flows relies on precise bottom topography data, yet direct bathymetric surveys are expensive and time-consuming. In contrast, remote sensing platforms such as radar or satellite altimetry provide…

Numerical Analysis · Mathematics 2026-03-13 Falko Ruppenthal , Dmitri Kuzmin

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

Understanding groundwater dynamics is critical for sustainable water management, particularly as climate extremes intensify. However, the resolutions of existing subsurface observational tools are still inadequate for detailed aquifer…

Geophysics · Physics 2025-01-22 Haipeng Li , Jingxiao Liu , Shujuan Mao , Siyuan Yuan , Robert G. Clapp , Biondo L. Biondi

The shallow water equations (SWE) model a variety of geophysical flows. Flows in channels with rectangular cross sections may be modelled with a simplified one-dimensional SWE with varying width. Among other model parameters, information…

Fluid Dynamics · Physics 2021-04-08 Miguel Angel Moreles , Gerardo Hernandez-Duenas , Pedro Gonzalez-Casanova

We present a dual-resolution molecular dynamics (MD) simulation of liquid water employing a recently introduced Adaptive Resolution Scheme (AdResS). The spatially adaptive molecular resolution procedure allows for changing from a…

Soft Condensed Matter · Physics 2011-11-10 Silvina Matysiak , Cecilia Clementi , Matej Praprotnik , Kurt Kremer , Luigi Delle Site

In this two-part work, we propose an algorithmic framework for solving non-convex problems whose objective function is the sum of a number of smooth component functions plus a convex (possibly non-smooth) or/and smooth (possibly non-convex)…

Optimization and Control · Mathematics 2019-07-24 Sandeep Kumar , Ketan Rajawat , Daniel P. Palomar

Full-waveform inversion (FWI) is a high-resolution and computationally intensive imaging technique to reconstruct unknown parameters in the computational model in which the waves propagate; however, an accurate model of only part of this…

Optimization and Control · Mathematics 2022-03-25 Hossein S. Aghamiry , Ali Gholami , Stephane Operto , Alison Malcolm

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

Due to the unique characteristics of underwater environments, accurate 3D reconstruction of underwater objects poses a challenging problem in tasks such as underwater exploration and mapping. Traditional methods that rely on multiple sensor…

Computer Vision and Pattern Recognition · Computer Science 2024-10-11 Zeyu Chen , Jingyi Tang , Gu Wang , Shengquan Li , Xinghui Li , Xiangyang Ji , Xiu Li

Score Distillation Sampling (SDS) has been pivotal for leveraging pre-trained diffusion models in downstream tasks such as inverse problems, but it faces two major challenges: $(i)$ mode collapse and $(ii)$ latent space inversion, which…

Machine Learning · Computer Science 2024-10-15 Nicolas Zilberstein , Morteza Mardani , Santiago Segarra

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

In this work, we contribute to the broader understanding of inverse problems by introducing a versatile multiscale modeling framework tailored to the challenges of sediment concentration estimation. Specifically, we propose a novel approach…

Numerical Analysis · Mathematics 2025-03-14 Jiwei Li , Lingyun Qiu , Zhongjing Wang , Hui Yu , Siqin Zheng

A new inversion method for determining near-surface shear currents from a measured wave spectrum is introduced. The method is straightforward to implement and starts from the existing state-of-the-art technique of assigning effective depths…

Atmospheric and Oceanic Physics · Physics 2020-02-19 Benjamin K. Smeltzer , Eirik Æsøy , Anna Ådnøy , Simen Å. Ellingsen

Marine heatwaves (MHWs), an extreme climate phenomenon, pose significant challenges to marine ecosystems and industries, with their frequency and intensity increasing due to climate change. This study introduces an integrated deep learning…

Atmospheric and Oceanic Physics · Physics 2024-12-09 Ding Ning , Varvara Vetrova , Yun Sing Koh , Karin R. Bryan

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

Nonlinear least squares data-fitting driven by physical process simulation is a classic and widely successful technique for the solution of inverse problems in science and engineering. Known as "Full Waveform Inversion" in application to…

Optimization and Control · Mathematics 2020-10-28 William W. Symes

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

Partial differential equation (PDE) constrained optimization problems such as seismic full waveform inversion (FWI) frequently arise in the geoscience and related fields. For such problems, many observations are usually gathered by multiple…

Geophysics · Physics 2022-05-04 Kamal Aghazade , Hossein S. Aghamiry , Ali Gholami , Stephane Operto

Full Waveform Inversion (FWI) is a critical technique in subsurface imaging, aiming to reconstruct high-resolution subsurface properties from surface measurements. Acoustic FWI involves two physical modalities, seismic waveforms and…