Simulating fluid flow in complex porous materials by integrating the governing equations with deep-layered machines

Abstract Fluid flow in heterogeneous porous media arises in many systems, from biological tissues to composite materials, soil, wood, and paper. With advances in instrumentations, high-resolution images of porous media can be obtained and used directly in the simulation of fluid flow. The computatio...

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Autores principales: Serveh Kamrava, Muhammad Sahimi, Pejman Tahmasebi
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Publicado: Nature Portfolio 2021
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spelling oai:doaj.org-article:5bbe01e9e7a84ef4b4cb2a3785357e2a2021-12-02T15:08:38ZSimulating fluid flow in complex porous materials by integrating the governing equations with deep-layered machines10.1038/s41524-021-00598-22057-3960https://doaj.org/article/5bbe01e9e7a84ef4b4cb2a3785357e2a2021-08-01T00:00:00Zhttps://doi.org/10.1038/s41524-021-00598-2https://doaj.org/toc/2057-3960Abstract Fluid flow in heterogeneous porous media arises in many systems, from biological tissues to composite materials, soil, wood, and paper. With advances in instrumentations, high-resolution images of porous media can be obtained and used directly in the simulation of fluid flow. The computations are, however, highly intensive. Although machine learning (ML) algorithms have been used for predicting flow properties of porous media, they lack a rigorous, physics-based foundation and rely on correlations. We introduce an ML approach that incorporates mass conservation and the Navier–Stokes equations in its learning process. By training the algorithm to relatively limited data obtained from the solutions of the equations over a time interval, we show that the approach provides highly accurate predictions for the flow properties of porous media at all other times and spatial locations, while reducing the computation time. We also show that when the network is used for a different porous medium, it again provides very accurate predictions.Serveh KamravaMuhammad SahimiPejman TahmasebiNature PortfolioarticleMaterials of engineering and construction. Mechanics of materialsTA401-492Computer softwareQA76.75-76.765ENnpj Computational Materials, Vol 7, Iss 1, Pp 1-9 (2021)
institution DOAJ
collection DOAJ
language EN
topic Materials of engineering and construction. Mechanics of materials
TA401-492
Computer software
QA76.75-76.765
spellingShingle Materials of engineering and construction. Mechanics of materials
TA401-492
Computer software
QA76.75-76.765
Serveh Kamrava
Muhammad Sahimi
Pejman Tahmasebi
Simulating fluid flow in complex porous materials by integrating the governing equations with deep-layered machines
description Abstract Fluid flow in heterogeneous porous media arises in many systems, from biological tissues to composite materials, soil, wood, and paper. With advances in instrumentations, high-resolution images of porous media can be obtained and used directly in the simulation of fluid flow. The computations are, however, highly intensive. Although machine learning (ML) algorithms have been used for predicting flow properties of porous media, they lack a rigorous, physics-based foundation and rely on correlations. We introduce an ML approach that incorporates mass conservation and the Navier–Stokes equations in its learning process. By training the algorithm to relatively limited data obtained from the solutions of the equations over a time interval, we show that the approach provides highly accurate predictions for the flow properties of porous media at all other times and spatial locations, while reducing the computation time. We also show that when the network is used for a different porous medium, it again provides very accurate predictions.
format article
author Serveh Kamrava
Muhammad Sahimi
Pejman Tahmasebi
author_facet Serveh Kamrava
Muhammad Sahimi
Pejman Tahmasebi
author_sort Serveh Kamrava
title Simulating fluid flow in complex porous materials by integrating the governing equations with deep-layered machines
title_short Simulating fluid flow in complex porous materials by integrating the governing equations with deep-layered machines
title_full Simulating fluid flow in complex porous materials by integrating the governing equations with deep-layered machines
title_fullStr Simulating fluid flow in complex porous materials by integrating the governing equations with deep-layered machines
title_full_unstemmed Simulating fluid flow in complex porous materials by integrating the governing equations with deep-layered machines
title_sort simulating fluid flow in complex porous materials by integrating the governing equations with deep-layered machines
publisher Nature Portfolio
publishDate 2021
url https://doaj.org/article/5bbe01e9e7a84ef4b4cb2a3785357e2a
work_keys_str_mv AT servehkamrava simulatingfluidflowincomplexporousmaterialsbyintegratingthegoverningequationswithdeeplayeredmachines
AT muhammadsahimi simulatingfluidflowincomplexporousmaterialsbyintegratingthegoverningequationswithdeeplayeredmachines
AT pejmantahmasebi simulatingfluidflowincomplexporousmaterialsbyintegratingthegoverningequationswithdeeplayeredmachines
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