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The Multiscale Fourier Transform of a seismic trace performs time-frequency analyses over a range of window lengths. The variation in window length captures local and global relative amplitudes between events, thereby allowing reflectivity…

Geophysics · Physics 2025-06-16 John Castagna , Oleg Portniaguine , Gabriel Gil , Arnold Oyem , Chen Liang

The rapid development of 3D technology and computer vision applications have motivated a thrust of methodologies for depth acquisition and estimation. However, most existing hardware and software methods have limited performance due to poor…

Computer Vision and Pattern Recognition · Computer Science 2015-02-13 Lee-Kang Liu , Stanley H. Chan , Truong Q. Nguyen

We explore the use of multiresolution analysis techniques as texture attributes for seismic image characterization, especially in representing subsurface structures in large migrated seismic data. Namely, we explore the Gaussian pyramid,…

Image and Video Processing · Electrical Eng. & Systems 2019-02-04 Motaz Alfarraj , Yazeed Alaudah , Zhiling Long , Ghassan AlRegib

We propose a simple and efficient time-series clustering framework particularly suited for low Signal-to-Noise Ratio (SNR), by simultaneous smoothing and dimensionality reduction aimed at preserving clustering information. We extend the…

Machine Learning · Computer Science 2015-10-20 Tom Hope , Avishai Wagner , Or Zuk

Identifying damage of structural systems is typically characterized as an inverse problem which might be ill-conditioned due to aleatory and epistemic uncertainties induced by measurement noise and modeling error. Sparse representation can…

Applications · Statistics 2020-06-09 Zhao Chen , Hao Sun

We present a sequential data assimilation algorithm based on the ensemble Kalman inversion to estimate the near-surface shear wave velocity profile and damping when heterogeneous data and a priori information that can be represented in…

Geophysics · Physics 2020-05-07 Elnaz Seylabi , Andrew Stuart , Domniki Asimaki

Time-lapse seismic data acquisition is an essential tool to monitor changes in a reservoir due to fluid injection, such as CO$_2$ injection. By acquiring multiple seismic surveys in the exact location, we can identify the reservoir changes…

Geophysics · Physics 2022-04-05 Abdullah Alali , Vladimir Kazei , Bingbing Sun , Tariq Alkhalifah

This paper proposes a joint framework wherein lifting-based, separable, image-matched wavelets are estimated from compressively sensed (CS) images and used for the reconstruction of the same. Matched wavelet can be easily designed if full…

Computer Vision and Pattern Recognition · Computer Science 2017-08-02 Naushad Ansari , Anubha Gupta

The wavelet frame systems have been playing an active role in image restoration and many other image processing fields over the past decades, owing to the good capability of sparsely approximating piece-wise smooth functions such as images.…

Computer Vision and Pattern Recognition · Computer Science 2016-03-29 Liangtian He , Yilun Wang , Zhaoyin Xiang

We introduce and compare new compression approaches to obtain regularized solutions of large linear systems which are commonly encountered in large scale inverse problems. We first describe how to approximate matrix vector operations with a…

Numerical Analysis · Mathematics 2016-08-12 Sergey Voronin , Dylan Mikesell , Guust Nolet

Recently, compressed sensing techniques in combination with both wavelet and directional representation systems have been very effectively applied to the problem of image inpainting. However, a mathematical analysis of these techniques…

Functional Analysis · Mathematics 2012-11-29 Emily J. King , Gitta Kutyniok , Xiaosheng Zhuang

Seismic imaging is the numerical process of creating a volumetric representation of the subsurface geological structures from elastic waves recorded at the surface of the Earth. As such, it is widely utilized in the energy and construction…

Geophysics · Physics 2024-11-05 Juan Romero , Wolfgang Heidrich , Nick Luiken , Matteo Ravasi

Reservoir models are numerical representations of the subsurface petrophysical properties such as porosity, volume of minerals and fluid saturations. These are often derived from elastic models inferred from seismic inversion in a two-step…

Geophysics · Physics 2018-12-26 Leonardo Azevedo , Dario Grana , Catarina Amaro

Recent developments in differentiable and neural rendering have made impressive breakthroughs in a variety of 2D and 3D tasks, e.g. novel view synthesis, 3D reconstruction. Typically, differentiable rendering relies on a dense viewpoint…

Computer Vision and Pattern Recognition · Computer Science 2024-09-24 Michal Nazarczuk , Thomas Tanay , Sibi Catley-Chandar , Richard Shaw , Radu Timofte , Eduardo Pérez-Pellitero

Water saturation is an important property in reservoir engineering domain. Thus, satisfactory classification of water saturation from seismic attributes is beneficial for reservoir characterization. However, diverse and non-linear nature of…

Machine Learning · Computer Science 2016-12-06 Soumi Chaki , Akhilesh Kumar Verma , Aurobinda Routray , William K. Mohanty , Mamata Jenamani

Use of generative models and deep learning for physics-based systems is currently dominated by the task of emulation. However, the remarkable flexibility offered by data-driven architectures would suggest to extend this representation to…

Machine Learning · Computer Science 2023-09-12 Guoxiang Grayson Tong , Carlos A. Sing Long , Daniele E. Schiavazzi

Long-range geophysical forecasts are fundamentally limited by chaotic dynamics and numerical errors. While data assimilation can mitigate these issues, classical variational smoothers require computationally expensive tangent-linear and…

Machine Learning · Computer Science 2026-02-24 Phillip Si , Peng Chen

The purpose of this study is to perform verification of the structural characteristics of high-resolution spatial forecasts without relying on an object identification algorithm. To this end, a wavelet approach developed for image texture…

Applications · Statistics 2018-08-24 Florian Kapp , Petra Friederichs , Sebastian Brune , Michael Weniger

This study proposes a multi-resolution Convolutional Long Short-Term Memory (ConvLSTM) ensemble framework that leverages diverse temporal input resolutions to mitigate error accumulation and improve long-horizon forecasting of…

Machine Learning · Computer Science 2026-05-25 Jihoon Kim , Heejung Youn

Geological carbon storage entails the injection of megatonnes of supercritical CO2 into subsurface formations. The properties of these formations are usually highly uncertain, which makes design and optimization of large-scale storage…

Machine Learning · Computer Science 2025-01-23 Nanzhe Wang , Louis J. Durlofsky