IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v616y2023ics0378437123001711.html
   My bibliography  Save this article

A new framework for the reconstruction of porous media based on statistical characteristics: Multiscale erosion simulated annealing method

Author

Listed:
  • Chen, DongDong
  • Wang, XiaoRui
  • Nan, JiaoFen

Abstract

In this paper, a multiscale erosion simulated annealing method (MESA) is proposed, which can improve the computational efficiency of microstructure reconstruction by an order of magnitude. The reconstruction is performed on two-dimensional (2D) and three-dimensional (3D) microstructure based on simulated annealing (SA) and MESA, where the two-point correlation function is selected as the morphological information descriptor. The two-point cluster function containing significant high-order statistical information is used to verify the reconstruction results. From the analysis of 2D reconstruction, it can be found that although the proposed MESA technology can improve the reconstruction efficiency, the reconstruction is still not perfect. That is because the two-point correlation function contains insufficient information. In the 3D reconstruction, the two-point correlation function of the reconstructed 3D microstructure has a good consistency with the original 2D two-point correlation function, indicating that our proposed method is effective for the 3D microstructure reconstruction. By comparing the energy and computation time of SA and MESA, it is shown that our proposed method is one order of magnitude faster than SA method. This is because only a small part of pixels in the overall scales need to be sampled.

Suggested Citation

  • Chen, DongDong & Wang, XiaoRui & Nan, JiaoFen, 2023. "A new framework for the reconstruction of porous media based on statistical characteristics: Multiscale erosion simulated annealing method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 616(C).
  • Handle: RePEc:eee:phsmap:v:616:y:2023:i:c:s0378437123001711
    DOI: 10.1016/j.physa.2023.128616
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437123001711
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

    File URL: https://libkey.io/10.1016/j.physa.2023.128616?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Biswal, B. & Manwart, C. & Hilfer, R., 1998. "Three-dimensional local porosity analysis of porous media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 255(3), pages 221-241.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Chen, Dongdong & He, Xiaohai & Teng, Qizhi & Xu, Zhi & Li, Zhengji, 2014. "Reconstruction of multiphase microstructure based on statistical descriptors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 415(C), pages 240-250.
    2. Widjajakusuma, J & Manwart, C & Biswal, B & Hilfer, R, 1999. "Exact and approximate calculations for the conductivity of sandstones," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 270(1), pages 325-331.
    3. Biswal, B. & Hilfer, R., 1999. "Microstructure analysis of reconstructed porous media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 266(1), pages 307-311.
    4. Chen, DongDong & Liu, Yang & Wang, XiaoRui & Wang, Mei, 2022. "Reconstruction of the microstructure based on hierarchical simulated annealing with erosion method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 604(C).
    5. Biswal, B. & Manwart, C. & Hilfer, R. & Bakke, S. & Øren, P.E., 1999. "Quantitative analysis of experimental and synthetic microstructures for sedimentary rock," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 273(3), pages 452-475.
    6. Kurochkina, E.P. & Soboleva, O.N., 2011. "Effective coefficients of quasi-steady Maxwell’s equations with multiscale isotropic random conductivity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(2), pages 231-244.
    7. Latief, F.D.E. & Biswal, B. & Fauzi, U. & Hilfer, R., 2010. "Continuum reconstruction of the pore scale microstructure for Fontainebleau sandstone," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(8), pages 1607-1618.
    8. Marina V Karsanina & Kirill M Gerke & Elena B Skvortsova & Dirk Mallants, 2015. "Universal Spatial Correlation Functions for Describing and Reconstructing Soil Microstructure," PLOS ONE, Public Library of Science, vol. 10(5), pages 1-26, May.
    9. Manwart, C. & Hilfer, R., 2002. "Numerical simulation of creeping fluid flow in reconstruction models of porous media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 314(1), pages 706-713.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:616:y:2023:i:c:s0378437123001711. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.