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Modeling multiphysics processes in porous media requires preconditioned iterative linear solvers to enable efficient simulations at industry-relevant scales. These solvers are typically composed of sub-algorithms that target individual…

数值分析 · 数学 2025-10-07 Yury Zabegaev , Inga Berre , Eirik Keilegavlen

Many subsurface engineering applications involve tight-coupling between fluid flow, solid deformation, fracturing, and similar processes. To better understand the complex interplay of different governing equations, and therefore design…

Simulation of multiphase poromechanics involves solving a multi-physics problem in which multiphase flow and transport are tightly coupled with the porous medium deformation. To capture this dynamic interplay, fully implicit methods, also…

数值分析 · 数学 2021-01-08 Quan M. Bui , Daniel Osei-Kuffuor , Nicola Castelletto , Joshua A. White

The study of multiphase flows in porous media is fundamental to various fields, including oil recovery, CO2 sequestration, hydrogeology, and others. Accurate predictions of fluid behavior in these systems can enhance process efficiency…

流体动力学 · 物理学 2025-09-17 Roberto Lange , Gabriel M. Magalhães , Franciane F. Rocha , Hélio R. Neto

Hard optimisation problems such as Boolean Satisfiability typically have long solving times and can usually be solved by many algorithms, although the performance can vary widely in practice. Research has shown that no single algorithm…

机器学习 · 计算机科学 2019-09-10 Riccardo Volpato , Guangyan Song

Multiphysics incompressible fluid dynamics simulations play a crucial role in understanding intricate behaviors of many complex engineering systems that involve interactions between solids, fluids, and various phases like liquid and gas.…

计算工程、金融与科学 · 计算机科学 2023-12-27 Akash Dhruv

We study solute-laden flow through permeable geological formations with a focus on advection-dominated transport and volume reactions. As the fluid flows through the permeable medium, it reacts with the medium, thereby changing the…

数值分析 · 数学 2023-09-21 Mina Karimi , Kaushik Bhattacharya

In this paper, we derive a practical, general framework for creating adaptive iterative (linearization or splitting) algorithms to solve multi-physics problems. This means that, given an iterative method, we derive \textit{a posteriori}…

数值分析 · 数学 2026-01-26 Jakob S. Stokke , Kundan Kumar , Florin A. Radu

Detailed understanding of the coupling between fluid flow and solid deformation in porous media is crucial for the development biomedical devices and novel energy technologies relating to a wide range of geological and biological processes.…

流体动力学 · 物理学 2021-09-22 Francisco J. Carrillo

The accurate, reliable and efficient numerical approximation of multi-physics processes in heterogeneous porous media with varying media coefficients that include fluid flow and structure interactions is of fundamental importance in energy,…

数值分析 · 数学 2018-01-17 Uwe Köcher

The mechanical behaviour of a poroelastic medium permeated by multiple interacting fluid networks can be described by a system of time-dependent partial differential equations known as the multiple-network poroelasticity (MPET) equations or…

Reactive transport in permeable porous media is relevant for a variety of applications, but poses a significant challenge due to the range of length and time scales. Multiscale methods that aim to link microstructure with the macroscopic…

数值分析 · 数学 2023-12-27 Mina Karimi , Kaushik Bhattacharya

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 fluid flows is crucial for modeling physical phenomena like meteorology, aerodynamics, and biomedicine. Classical numerical solvers often require fine spatiotemporal grids to satisfy stability, consistency, and convergence…

机器学习 · 计算机科学 2025-07-04 Mengtao Yan , Qi Wang , Haining Wang , Ruizhi Chengze , Yi Zhang , Hongsheng Liu , Zidong Wang , Fan Yu , Qi Qi , Hao Sun

Many applications involving porous media--notably reservoir engineering and geologic applications--involve tight coupling between multiphase fluid flow, transport, and poromechanical deformation. While numerical models for these processes…

A new OpenFOAM application to simulate multiphase flows in porous media is formulated and tested. The proposed solver combines the Eulerian multi-fluid formulation for a system of phase fractions with Darcy's law for flows through porous…

This paper develops a smooth model identification and self-learning strategy for dynamic systems taking into account possible parameter variations and uncertainties. We have tried to solve the problem such that the model follows the changes…

系统与控制 · 电气工程与系统科学 2025-01-07 Ebrahim Navid Sadjadi , Jesus Garcia , Jose M. Molina , Akbar Hashemi Borzabadi , Monireh Asadi Abchouyeh

In real case applications within the virtual prototyping process, it is not always possible to reduce the complexity of the physical models and to obtain numerical models which can be solved quickly. Usually, every single numerical…

统计方法学 · 统计学 2024-08-08 Thomas Most , Johannes Will

Is a deep learning model capable of understanding systems governed by certain first principle laws by only observing the system's output? Can deep learning learn the underlying physics and honor the physics when making predictions? The…

计算物理 · 物理学 2020-06-11 Rohan Thavarajah , Xiang Zhai , Zheren Ma , David Castineira

Understanding processes in porous media is fundamental to a broad spectrum of environmental, energy, and geoscience applications. These processes include multiphase fluid transport, interfacial dynamics, reactive transformations, and…

流体动力学 · 物理学 2025-10-08 Na Liu , Jakub Wiktor Both , Geir Ersland , Jan Martin Nordbotten , Martin Fernø
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