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Related papers: Fourier-MIONet: Fourier-enhanced multiple-input ne…

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Geological carbon sequestration (GCS) involves injecting CO$_2$ into subsurface geological formations for permanent storage. Numerical simulations could guide decisions in GCS projects by predicting CO$_2$ migration pathways and the…

Machine Learning · Computer Science 2024-09-26 Jonathan E. Lee , Min Zhu , Ziqiao Xi , Kun Wang , Yanhua O. Yuan , Lu Lu

Numerical simulation of multiphase flow in porous media is essential for many geoscience applications. Machine learning models trained with numerical simulation data can provide a faster alternative to traditional simulators. Here we…

Geophysics · Physics 2022-05-06 Gege Wen , Zongyi Li , Kamyar Azizzadenesheli , Anima Anandkumar , Sally M. Benson

FNO and DeepONet are by far the most popular neural operator learning algorithms. FNO seems to enjoy an edge in popularity due to its ease of use, especially with high dimensional data. However, a lesser-acknowledged feature of DeepONet is…

Computational Physics · Physics 2024-01-02 Waleed Diab , Mohammed Al-Kobaisi

Deep learning-based surrogate models have been widely applied in geological carbon storage (GCS) problems to accelerate the prediction of reservoir pressure and CO2 plume migration. Large amounts of data from physics-based numerical…

Machine Learning · Statistics 2024-01-11 Hewei Tang , Qingkai Kong , Joseph P. Morris

This research investigates the application of Multigrid Neural Operator (MgNO), a neural operator architecture inspired by multigrid methods, in the simulation for multiphase flow within porous media. The architecture is adjusted to manage…

Computational Engineering, Finance, and Science · Computer Science 2024-07-04 Xinliang Liu , Xia Yang , Chen-Song Zhang , Lian Zhang , Li Zhao

Computational fluid dynamics (CFD) has become an essential tool for predicting fire behavior, yet maintaining both efficiency and accuracy remains challenging. A major source of computational cost in fire simulations is the modeling of…

Fluid Dynamics · Physics 2026-04-16 Anran Jiao , Wengyao Jiang , Xiaoyi Lu , Yi Wang , Lu Lu

The solution of partial differential equations (PDEs) plays a central role in numerous applications in science and engineering, particularly those involving multiphase flow in porous media. Complex, nonlinear systems govern these problems…

Underground hydrogen storage (UHS) is a promising energy storage option for the current energy transition to a low-carbon economy. Fast modeling of hydrogen plume migration and pressure field evolution is crucial for UHS field management.…

Machine Learning · Computer Science 2026-02-26 Tao Wang , Hewei Tang

Carbon capture and storage (CCS) plays an essential role in global decarbonization. Scaling up CCS deployment requires accurate and high-resolution modeling of the storage reservoir pressure buildup and the gaseous plume migration. However,…

Machine Learning · Computer Science 2023-06-02 Gege Wen , Zongyi Li , Qirui Long , Kamyar Azizzadenesheli , Anima Anandkumar , Sally M. Benson

This paper presents a method for modeling transient fluid flow in subsurface reservoir systems based on the developed neural operator architecture (TFNO-opt). Reservoir systems are complex dynamic objects with distributed parameters…

Machine Learning · Computer Science 2025-10-21 Daniil D. Sirota , Sergey A. Khan , Sergey L. Kostikov , Kirill A. Butov

We propose the Factorized Fourier Neural Operator (F-FNO), a learning-based approach for simulating partial differential equations (PDEs). Starting from a recently proposed Fourier representation of flow fields, the F-FNO bridges the…

Machine Learning · Computer Science 2023-03-03 Alasdair Tran , Alexander Mathews , Lexing Xie , Cheng Soon Ong

Traditional numerical schemes for simulating fluid flow and transport in porous media can be computationally expensive. Advances in machine learning for scientific computing have the potential to help speed up the simulation time in many…

Computational Physics · Physics 2023-07-06 Waleed Diab , Omar Chaabi , Shayma Alkobaisi , Abeeb Awotunde , Mohammed Al Kobaisi

The UNet-enhanced Fourier Neural Operator (UFNO) extends the Fourier Neural Operator (FNO) by incorporating a parallel UNet pathway, enabling the retention of both high- and low-frequency components. While UFNO improves predictive accuracy…

Machine Learning · Computer Science 2026-01-05 Alhasan Abdellatif , Hannah P. Menke , Florian Doster , Kamaljit Singh , Ahmed H. Elsheikh

Simulation of multiphase flow in porous media is crucial for the effective management of subsurface energy and environment related activities. The numerical simulators used for modeling such processes rely on spatial and temporal…

Computational Physics · Physics 2022-05-25 Bicheng Yan , Dylan Robert Harp , Rajesh J. Pawar

This paper contributes to the development and evaluation of a deep learning workflow that accurately and efficiently predicts the temporal-spatial evolution of pressure and CO2 plumes during injection and post-injection periods of geologic…

Machine Learning · Computer Science 2021-07-16 Bicheng Yan , Bailian Chen , Dylan Robert Harp , Rajesh J. Pawar

Seismic monitoring of carbon storage sequestration is a challenging problem involving both fluid-flow physics and wave physics. Additionally, monitoring usually requires the solvers for these physics to be coupled and differentiable to…

Geophysics · Physics 2022-12-19 Ziyi Yin , Ali Siahkoohi , Mathias Louboutin , Felix J. Herrmann

Fourier Neural Operators (FNO) offer a principled approach to solving challenging partial differential equations (PDE) such as turbulent flows. At the core of FNO is a spectral layer that leverages a discretization-convergent representation…

Machine Learning · Computer Science 2024-03-06 Robert Joseph George , Jiawei Zhao , Jean Kossaifi , Zongyi Li , Anima Anandkumar

A plethora of next-generation all-optical devices based on exciton-polaritons have been proposed in latest years, including prototypes of transistors, switches, analogue quantum simulators and others. However, for such systems consisting of…

Data-driven prediction of fluid flow and temperature distribution in marine and aerospace engineering has received extensive research and demonstrated its potential in real-time prediction recently. However, usually large amounts of…

Fluid Dynamics · Physics 2023-08-02 Yanfang Lyu , Xiaoyu Zhao , Zhiqiang Gong , Xiao Kang , Wen Yao

Next-generation multiple-input multiple-output (MIMO) systems, characterized by extremely large-scale arrays, holographic surfaces, three-dimensional architectures, and flexible antennas, are poised to deliver unprecedented data rates,…

Information Theory · Computer Science 2025-10-07 Jian Xiao , Ji Wang , Qi Sun , Qimei Cui , Xingwang Li , Dusit Niyato , Chih-Lin I
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