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Title: Predicting Effective Diffusivity of Porous Media from Images by Deep Learning

Abstract

We report the application of machine learning methods for predicting the effective diffusivity (D e) of two-dimensional porous media from images of their structures. Pore structures are built using reconstruction methods and represented as images, and their effective diffusivity is computed by lattice Boltzmann (LBM) simulations. The datasets thus generated are used to train convolutional neural network (CNN) models and evaluate their performance. The trained model predicts the effective diffusivity of porous structures with computational cost orders of magnitude lower than LBM simulations. The optimized model performs well on porous media with realistic topology, large variation of porosity (0.28–0.98), and effective diffusivity spanning more than one order of magnitude (0.1 ≲ D e < 1), e.g., >95% of predicted De have truncated relative error of <10% when the true De is larger than 0.2. The CNN model provides better prediction than the empirical Bruggeman equation, especially for porous structure with small diffusivity. The relative error of CNN predictions, however, is rather high for structures with D e < 0.1. To address this issue, the porosity of porous structures is encoded directly into the neural network but the performance is enhanced marginally. Further improvement, i.e., 70% of the CNN predictions formore » structures with true D e < 0.1 have relative error <30%, is achieved by removing trapped regions and dead-end pathways using a simple algorithm. These results suggest that deep learning augmented by field knowledge can be a powerful technique for predicting the transport properties of porous media. In conclusion, directions for future research of machine learning in porous media are discussed based on detailed analysis of the performance of CNN models in the present work.« less

Authors:
 [1];  [2]; ORCiD logo [3];  [4];  [1]
  1. Virginia Polytechnic Inst. and State Univ. (Virginia Tech), Blacksburg, VA (United States)
  2. Virginia Polytechnic Inst. and State Univ. (Virginia Tech), Blacksburg, VA (United States); Xi’an Jiaotong Univ., Xi’an (China)
  3. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  4. Xi’an Jiaotong Univ., Xi’an (China)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE Laboratory Directed Research and Development (LDRD) Program
OSTI Identifier:
1599031
Report Number(s):
[LA-UR-19-23183]
[Journal ID: ISSN 2045-2322]
Grant/Contract Number:  
[89233218CNA000001]
Resource Type:
Accepted Manuscript
Journal Name:
Scientific Reports
Additional Journal Information:
[ Journal Volume: 9; Journal Issue: 1]; Journal ID: ISSN 2045-2322
Publisher:
Nature Publishing Group
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; Earth Sciences; Material Science

Citation Formats

Wu, Haiyi, Fang, Wen-Zhen, Kang, Qinjun, Tao, Wen-Quan, and Qiao, Rui. Predicting Effective Diffusivity of Porous Media from Images by Deep Learning. United States: N. p., 2019. Web. doi:10.1038/s41598-019-56309-x.
Wu, Haiyi, Fang, Wen-Zhen, Kang, Qinjun, Tao, Wen-Quan, & Qiao, Rui. Predicting Effective Diffusivity of Porous Media from Images by Deep Learning. United States. doi:10.1038/s41598-019-56309-x.
Wu, Haiyi, Fang, Wen-Zhen, Kang, Qinjun, Tao, Wen-Quan, and Qiao, Rui. Tue . "Predicting Effective Diffusivity of Porous Media from Images by Deep Learning". United States. doi:10.1038/s41598-019-56309-x. https://www.osti.gov/servlets/purl/1599031.
@article{osti_1599031,
title = {Predicting Effective Diffusivity of Porous Media from Images by Deep Learning},
author = {Wu, Haiyi and Fang, Wen-Zhen and Kang, Qinjun and Tao, Wen-Quan and Qiao, Rui},
abstractNote = {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 images, and their effective diffusivity is computed by lattice Boltzmann (LBM) simulations. The datasets thus generated are used to train convolutional neural network (CNN) models and evaluate their performance. The trained model predicts the effective diffusivity of porous structures with computational cost orders of magnitude lower than LBM simulations. The optimized model performs well on porous media with realistic topology, large variation of porosity (0.28–0.98), and effective diffusivity spanning more than one order of magnitude (0.1 ≲ De < 1), e.g., >95% of predicted De have truncated relative error of <10% when the true De is larger than 0.2. The CNN model provides better prediction than the empirical Bruggeman equation, especially for porous structure with small diffusivity. The relative error of CNN predictions, however, is rather high for structures with De < 0.1. To address this issue, the porosity of porous structures is encoded directly into the neural network but the performance is enhanced marginally. Further improvement, i.e., 70% of the CNN predictions for structures with true De < 0.1 have relative error <30%, is achieved by removing trapped regions and dead-end pathways using a simple algorithm. These results suggest that deep learning augmented by field knowledge can be a powerful technique for predicting the transport properties of porous media. In conclusion, directions for future research of machine learning in porous media are discussed based on detailed analysis of the performance of CNN models in the present work.},
doi = {10.1038/s41598-019-56309-x},
journal = {Scientific Reports},
number = [1],
volume = [9],
place = {United States},
year = {2019},
month = {12}
}

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