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We present efficient deep learning techniques for approximating flow and transport equations for both single phase and two-phase flow problems. The proposed methods take advantages of the sparsity structures in the underlying discrete…

数值分析 · 数学 2020-01-08 Yating Wang , Guang Lin

Simulation of fluid flow in porous media has many applications, from the micro-scale (cell membranes, filters, rocks) to macro-scale (groundwater, hydrocarbon reservoirs, and geothermal) and beyond. Direct simulation of flow in porous media…

流体动力学 · 物理学 2020-04-27 Ying Da Wang , Traiwit Chung , Ryan T. Armstrong , Peyman Mostaghimi

Physics-based simulation for fluid flow in porous media is a computational technology to predict the temporal-spatial evolution of state variables (e.g. pressure) in porous media, and usually requires high computational expense due to its…

流体动力学 · 物理学 2021-05-11 Bicheng Yan , Dylan Robert Harp , Bailian Chen , Rajesh J. Pawar

Large-scale or high-resolution geologic models usually comprise a huge number of grid blocks, which can be computationally demanding and time-consuming to solve with numerical simulators. Therefore, it is advantageous to upscale geologic…

机器学习 · 计算机科学 2022-01-04 Nanzhe Wang , Qinzhuo Liao , Haibin Chang , Dongxiao Zhang

In this work, an efficient physics-constrained deep learning model is developed for solving multiphase flow in 3D heterogeneous porous media. The model fully leverages the spatial topology predictive capability of convolutional neural…

地球物理 · 物理学 2021-05-21 Bicheng Yan , Dylan Robert Harp , Bailian Chen , Rajesh Pawar

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…

计算物理 · 物理学 2022-05-25 Bicheng Yan , Dylan Robert Harp , Rajesh J. Pawar

We have developed an image-based convolutional neural network (CNN) that is applicable for quantitative time-resolved measurements of the fragmentation behavior of opaque brittle materials using ultra-high speed optical imaging. This model…

材料科学 · 物理学 2024-07-19 Erwin Cazares , Brian E. Schuster

Despite the notable success of deep neural networks (DNNs) in solving complex tasks, the training process still remains considerable challenges. A primary obstacle is the substantial time required for training, particularly as high…

机器学习 · 计算机科学 2025-09-09 Viet Hoang Pham , Hyo-Sung Ahn

In this paper, we consider a numerical homogenization of the poroelasticity problem with stochastic properties. The proposed method based on the construction of the deep neural network (DNN) for fast calculation of the effective properties…

数值分析 · 数学 2018-10-04 Maria Vasilyeva , Aleksey Tyrylgin

Deep subsurface exploration is important for mining, oil and gas industries, as well as in the assessment of geological units for the disposal of chemical or nuclear waste, or the viability of geothermal energy systems. Typically, detailed…

计算机视觉与模式识别 · 计算机科学 2024-03-28 Romana Boiger , Sergey V. Churakov , Ignacio Ballester Llagaria , Georg Kosakowski , Raphael Wüst , Nikolaos I. Prasianakis

Fast prediction of permeability directly from images enabled by image recognition neural networks is a novel pore-scale modeling method that has a great potential. This article presents a framework that includes (1) generation of porous…

计算物理 · 物理学 2018-09-11 Jin-Long Wu , Xiao-Long Yin , Heng Xiao

Rapid and accurate wildfire detection is crucial for emergency response and environmental management. In airborne and spaceborne missions, real-time algorithms must distinguish between no fire, active fire, and post-fire conditions, and…

计算机视觉与模式识别 · 计算机科学 2025-12-04 Mark Moussa , Andre Williams , Seth Roffe , Douglas Morton

Underwater explosions produce complex fluid phenomena relevant to diverse applications including maritime engineering, medical therapeutics, and inertial confinement fusion. These systems exhibit multiphase flows, chemical kinetics, and…

流体动力学 · 物理学 2025-07-02 Francis G. VanGessel , Mitul Pandya

We report the application of machine learning methods for predicting the effective diffusivity (De) of two-dimensional porous media from images of their structures. Pore structures are built using reconstruction methods and represented as…

地球物理 · 物理学 2019-12-12 Haiyi Wu , Wen-Zhen Fang , Qinjun Kang , Wen-Quan Tao , Rui Qiao

We propose a novel deep learning framework for predicting permeability of porous media from their digital images. Unlike convolutional neural networks, instead of feeding the whole image volume as inputs to the network, we model the…

图像与视频处理 · 电气工程与系统科学 2021-10-13 Ali Kashefi , Tapan Mukerji

Real-time simulation of elastic structures is essential in many applications, from computer-guided surgical interventions to interactive design in mechanical engineering. The Finite Element Method is often used as the numerical method of…

机器学习 · 计算机科学 2021-09-21 Alban Odot , Ryadh Haferssas , Stéphane Cotin

In this article, we present an efficient deep learning method called coupled deep neural networks (CDNNs) for coupled physical problems. Our method compiles the interface conditions of the coupled PDEs into the networks properly and can be…

数值分析 · 数学 2023-01-18 Jing Yue , Jian Li , Wen Zhang

Imaging through scattering is an important, yet challenging problem. Tremendous progress has been made by exploiting the deterministic input-output "transmission matrix" for a fixed medium. However, this "one-to-one" mapping is highly…

图像与视频处理 · 电气工程与系统科学 2018-09-27 Yunzhe Li , Yujia Xue , Lei Tian

Direct numerical simulations (DNS) are accurate but computationally expensive for predicting materials evolution across timescales, due to the complexity of the underlying evolution equations, the nature of multiscale spatio-temporal…

机器学习 · 计算机科学 2023-12-12 Vivek Oommen , Khemraj Shukla , Saaketh Desai , Remi Dingreville , George Em Karniadakis

Porous media is widely distributed in nature, found in environments such as soil, rock formations, and plant tissues, and is crucial in applications like subsurface oil and gas extraction, medical drug delivery, and filtration systems.…

地球物理 · 物理学 2025-01-03 Qingqi Zhao , Xiaoxue Han , Ruichang Guo , Cheng Chen
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