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Numerical simulation of multi-phase fluid dynamics in porous media is critical for many energy and environmental applications in Earth's subsurface. Data-driven surrogate modeling provides computationally inexpensive alternatives to…

Computational Physics · Physics 2024-04-16 Jiamin Jiang , Bo Guo

Modeling and forecasting subsurface multiphase fluid flow fields underpin applications ranging from geological CO2 sequestration (GCS) operations to geothermal production. This is essential for ensuring both operational performance and…

Machine Learning · Computer Science 2026-02-17 Vittoria De Pellegrini , Tariq Alkhalifah

We introduce a fully 3D, deep learning-based approach for the joint inversion of time-lapse surface gravity and seismic data for reconstructing subsurface density and velocity models. The target application of this proposed inversion…

Geophysics · Physics 2023-10-10 Adrian Celaya , Mauricio Araya-Polo

Over the past few years, deep learning methods have proved to be of great interest for the computational fluid dynamics community, especially when used as surrogate models, either for flow reconstruction, turbulence modeling, or for the…

Fluid Dynamics · Physics 2021-10-04 Junfeng Chen , Jonathan Viquerat , Frederic Heymes , Elie Hachem

We propose a novel \textit{capsule} based deep encoder-decoder model for surrogate modeling and uncertainty quantification of systems in mechanics from sparse data. The proposed framework is developed by adapting Capsule Network (CapsNet)…

Machine Learning · Statistics 2022-01-20 Akshay Thakur , Souvik Chakraborty

Optimizing the locations of multiple CO2 injection wells will be essential as we proceed from demonstration-scale to large-scale carbon storage operations. Well placement optimization is, however, a computationally intensive task because…

Computational Engineering, Finance, and Science · Computer Science 2024-10-10 Haoyu Tang , Louis J. Durlofsky

In many cutting-edge applications, high-fidelity computational models prove to be too slow for practical use and are therefore replaced by much faster surrogate models. Recently, deep learning techniques have increasingly been utilized to…

Machine Learning · Computer Science 2024-04-03 Saurabh Deshpande , Stéphane P. A. Bordas , Jakub Lengiewicz

The theory-guided convolutional neural network (TgCNN) framework, which can incorporate discretized governing equation residuals into the training of convolutional neural networks (CNNs), is extended to two-phase porous media flow problems…

Geophysics · Physics 2022-08-15 Nanzhe Wang , Haibin Chang , Dongxiao Zhang

A deep-learning-based closure model to address energy loss in low-dimensional surrogate models based on proper-orthogonal-decomposition (POD) modes is introduced. Using a transformer-encoder block with easy-attention mechanism, the model…

We propose a novel deep learning based surrogate model for solving high-dimensional uncertainty quantification and uncertainty propagation problems. The proposed deep learning architecture is developed by integrating the well-known U-net…

Machine Learning · Statistics 2021-11-10 Sai Krishna Mendu , Souvik Chakraborty

Real-time identification and quantification of greenhouse-gas emissions under transient atmospheric conditions is a critical challenge in environmental monitoring. We introduce a spatio-temporal inversion framework that embeds a…

Machine Learning · Computer Science 2025-06-18 Thomas Newman , Christopher Nemeth , Matthew Jones , Philip Jonathan

Efficiently predicting the flowfield and load in aerodynamic shape optimisation remains a highly challenging and relevant task. Deep learning methods have been of particular interest for such problems, due to their success for solving…

Fluid Dynamics · Physics 2021-06-16 Li-Wei Chen , Berkay Alp Cakal , Xiangyu Hu , Nils Thuerey

Phase-field simulations of liquid metal dealloying (LMD) can capture complex microstructural evolutions but can be prohibitively expensive for large domains and long time horizons. In this paper, we introduce a fully convolutional,…

Computational Engineering, Finance, and Science · Computer Science 2026-02-10 Christophe Bonneville , Nathan Bieberdorf , Pieterjan Robbe , Mark Asta , Habib Najm , Laurent Capolungo , Cosmin Safta

Uncertainty quantification (UQ) of subsurface two-phase flow usually requires numerous executions of forward simulations under varying conditions. In this work, a novel coupled theory-guided neural network (TgNN) based surrogate model is…

Fluid Dynamics · Physics 2023-09-08 Jian Li , Dongxiao Zhang , Tianhao He , Qiang Zheng

Neural networks are increasingly used in complex (data-driven) simulations as surrogates or for accelerating the computation of classical surrogates. In many applications physical constraints, such as mass or energy conservation, must be…

Computational Physics · Physics 2020-02-25 Jim Magiera , Deep Ray , Jan S. Hesthaven , Christian Rohde

In computational fluid dynamics, there is an inevitable trade off between accuracy and computational cost. In this work, a novel multi-fidelity deep generative model is introduced for the surrogate modeling of high-fidelity turbulent flow…

Computational Physics · Physics 2021-01-12 Nicholas Geneva , Nicholas Zabaras

This study develops and validates neural network frameworks with physics-based constraints for surrogate modeling of rarefied gas dynamics across different levels of complexity. As a baseline, we first examine the BGK kinetic relaxation…

Fluid Dynamics · Physics 2025-09-09 Ehsan Roohi , Ahmad Shoja-Sani , Bijan Goshayeshi , Ahmad Peyvan

This paper presents a neural network--enhanced surrogate modeling approach for diffusion problems with spatially varying random field coefficients. The method builds on numerical homogenization, which compresses fine-scale coefficients into…

Numerical Analysis · Mathematics 2025-09-17 Fabian Kröpfl , Daniel Peterseim , Elisabeth Ullmann

Simulating reactive dissolution of solid minerals in porous media has many subsurface applications, including carbon capture and storage (CCS), geothermal systems and oil & gas recovery. As traditional direct numerical simulators are…

Machine Learning · Computer Science 2025-12-16 Marcos Cirne , Hannah Menke , Alhasan Abdellatif , Julien Maes , Florian Doster , Ahmed H. Elsheikh

Operational flood forecasting still relies on high-fidelity two-dimensional hydraulic solvers, but their runtime can be prohibitive for rapid decision support on large urban floodplains. In parallel, AI-based surrogate models have shown…

Machine Learning · Computer Science 2026-04-06 Valentin Mercier , Serge Gratton , Lapeyre Corentin , Gwenaël Chevallet