IDEAS home Printed from https://ideas.repec.org/a/bpj/mcmeap/v11y2005i1p15-37n6.html
   My bibliography  Save this article

Stochastic flow simulation in 3D porous media

Author

Listed:
  • Kolyukhin Dmitry
  • Sabelfeld Karl

    (1. Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstrasse 39, D – 10117 Berlin, Germany)

Abstract

Stochastic models and Monte Carlo algorithms for simulation of flow through porous media beyond the small hydraulic conductivity fluctuation assumptions are developed. The hydraulic conductivity is modelled as an isotropic random field with a lognormal distribution and prescribed correlation or spectral functions. It is sampled by a Monte Carlo method based on a randomized spectral representation. The Darcy and continuity equations with the random hydraulic conductivity are solved numerically, using the successive over relaxation method in order to extract statistical characteristics of the flow. Hybrid averaging is used: we combine spatial and ensemble avergaing to get efficient numerical procedure.

Suggested Citation

  • Kolyukhin Dmitry & Sabelfeld Karl, 2005. "Stochastic flow simulation in 3D porous media," Monte Carlo Methods and Applications, De Gruyter, vol. 11(1), pages 15-37, March.
    • Handle: RePEc:bpj:mcmeap:v:11:y:2005:i:1:p:15-37:n:6
    DOI: 10.1515/1569396054027292
    as

    Download full text from publisher

    File URL: https://doi.org/10.1515/1569396054027292
    Download Restriction: For access to full text, subscription to the journal or payment for the individual article is required.
    File URL: https://libkey.io/10.1515/1569396054027292?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. Kurbanmuradov O. & Sabelfeld K. & Smidts O.F. & Vereecken H., 2003. "A Lagrangian Stochastic Model for the Transport in Statistically Homogeneous Porous Media," Monte Carlo Methods and Applications, De Gruyter, vol. 9(4), pages 341-366, December.
    2. Kurbanmuradov O. & Sabelfeld K. & Koluhin D., 1997. "Stochastic Lagrangian Models for Two-Particle Motion in Turbulent Flows. Numerical Results," Monte Carlo Methods and Applications, De Gruyter, vol. 3(3), pages 199-224, December.
    3. Sabelfeld Karl & Kolyukhin Dmitry, 2003. "Stochastic Eulerian model for the flow simulation in porous media," Monte Carlo Methods and Applications, De Gruyter, vol. 9(3), pages 271-290, September.
    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. Kolyukhin Dmitriy & Sabelfeld Karl K., 2015. "Stochastic small perturbation based simulation technique for solving isotropic elastostatics equations," Monte Carlo Methods and Applications, De Gruyter, vol. 21(2), pages 153-161, June.

    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. Kurbanmuradov O. & Sabelfeld K., 2006. "Stochastic Spectral and Fourier-Wavelet Methods for Vector Gaussian Random Fields," Monte Carlo Methods and Applications, De Gruyter, vol. 12(5), pages 395-445, November.
    2. Sabelfeld K. & Kurbanmuradov O. & Levykin A., 2009. "Stochastic simulation of particle transport by a random Darcy flow through a porous cylinder," Monte Carlo Methods and Applications, De Gruyter, vol. 15(1), pages 63-90, January.
    3. Kolodko, A. & Sabelfeld, K. & Wagner, W., 1999. "A stochastic method for solving Smoluchowski's coagulation equation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 49(1), pages 57-79.
    4. Sabelfeld, K.K. & Kurbanmuradov, O., 1998. "Two-particle stochastic Eulerian–Lagrangian models of turbulent dispersion," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 47(2), pages 429-440.
    5. Sabelfeld Karl & Kolyukhin Dmitry, 2003. "Stochastic Eulerian model for the flow simulation in porous media," Monte Carlo Methods and Applications, De Gruyter, vol. 9(3), pages 271-290, September.
    6. Shalimova Irina & Sabelfeld Karl K., 2019. "A random walk on small spheres method for solving transient anisotropic diffusion problems," Monte Carlo Methods and Applications, De Gruyter, vol. 25(3), pages 271-282, September.

    More about this item

    Statistics

    Access and download statistics

    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:bpj:mcmeap:v:11:y:2005:i:1:p:15-37:n:6. 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: Peter Golla (email available below). General contact details of provider: https://www.degruyter.com .

    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.