IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v508y2018icp376-389.html
   My bibliography  Save this article

Scaling and critical behavior of lattice and continuum porous media with different connectivity configurations

Author

Listed:
  • Soltani, Ali
  • Sadeghnejad, Saeid

Abstract

Determination of the connectivity and conductivity of porous media is of great importance in evaluation of fluid transport in different systems including petroleum formations, ground water hydrology, and contaminant transport. Among the conventional methods for connectivity forecasting, the percolation approach is an efficient method that can provide an estimate for both connectivity and conductivity of a porous medium as well as their uncertainties. In the classic percolation approach, connectivity is considered between two lines at the opposite sides of a 2-D porous medium (i.e., injectors and producers in the petroleum terminology). While in reality, the connectivity can be between point-shaped locations (e.g., point-to-point connection in a 2-D areal cross sectional map of a 3-D porous medium containing vertical wells). In this study, by implementing an object-based Monte Carlo simulations algorithm, the connectivity and conductivity behavior of a system with the point-shaped connectivity model is compared with that in the conventional line-shaped models. The focus of the research is on the evaluation of scaling and critical percolation properties of both lattice and continuum systems with different connectivity configurations. Having calculated the percolation threshold values as well as universal percolation exponents in both percolation systems, the scaling functions of connectivity and conductivity will be evaluated for both connectivity models. These scaling functions can be used to predict the connectivity and conductivity behavior of a system with any size by simple algebraic calculations. The results show that the point-to-point connection behavior of the site and continuum percolation is similar to each other but is different from that in the conventional line-to-line connectivity model.

Suggested Citation

  • Soltani, Ali & Sadeghnejad, Saeid, 2018. "Scaling and critical behavior of lattice and continuum porous media with different connectivity configurations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 508(C), pages 376-389.
    • Handle: RePEc:eee:phsmap:v:508:y:2018:i:c:p:376-389
    DOI: 10.1016/j.physa.2018.05.071
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437118306174
    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.2018.05.071?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. Tavagh-Mohammadi, Behnam & Masihi, Mohsen & Ganjeh-Ghazvini, Mostafa, 2016. "Point-to-point connectivity prediction in porous media using percolation theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 460(C), pages 304-313.
    2. Lee, Sang Bub, 2014. "Multiple fragmentation of critical continuum percolation clusters," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 393(C), pages 480-488.
    3. Tang, Y.B. & Li, M. & Li, X.F., 2017. "Connectivity, formation factor and permeability of 2D fracture network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 483(C), pages 319-329.
    4. Vogel, E.E. & Lebrecht, W. & Valdés, J.F., 2010. "Bond percolation for homogeneous two-dimensional lattices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(8), pages 1512-1520.
    5. Soares, R.F. & Corso, G. & Lucena, L.S. & Freitas, J.E. & da Silva, L.R. & Paul, G. & Stanley, H.E., 2004. "Distribution of shortest paths at percolation threshold: application to oil recovery with multiple wells," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 343(C), pages 739-747.
    6. Gorshkov, Vyacheslav & Privman, Vladimir & Libert, Sergiy, 2016. "Lattice percolation approach to 3D modeling of tissue aging," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 462(C), pages 207-216.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Lambrou, Eleftherios & Gergidis, Leonidas N., 2022. "A particle digitization-based computational method for continuum percolation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 590(C).

    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. Huang, Xudong & Yang, Dong & Kang, Zhiqin, 2021. "Impact of pore distribution characteristics on percolation threshold based on site percolation theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 570(C).

    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:508:y:2018:i:c:p:376-389. 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.