IDEAS home Printed from https://ideas.repec.org/a/wsi/fracta/v29y2021i06ns0218348x21501395.html
   My bibliography  Save this article

Fractal Analysis Of Non-Newton Fluid Grouting In Soil Composed Of Arbitrary Cross-Sectional Capillaries

Author

Listed:
  • LEI KOU

    (School of Water Conservancy Science and Engineering, Zhengzhou University, Zhengzhou 450002, P. R. China†Key Laboratory of Geotechnical and Underground, Engineering of the Ministry of Education, Tongji University, Shanghai 200092, P. R. China)

  • RONGHU MIAO

    (School of Water Conservancy Science and Engineering, Zhengzhou University, Zhengzhou 450002, P. R. China)

  • FENGYANG MIAO

    (School of Water Conservancy Science and Engineering, Zhengzhou University, Zhengzhou 450002, P. R. China)

Abstract

The fractal theory has been applied to understand the transport law for the non-Newton Herschel–Bulkley (H-B) fluid grouting in fractal soil consisting of a bunch of arbitrary cross-sectional tortuous capillaries. The fractal models for the average flow velocity, starting pressure gradient and effective permeability are the functions of the cross-sectional geometric factors of capillaries, minimum and maximum cross-sectional area of capillaries, porosity, fractal dimensions and characteristic parameters of H-B fluid. The proposed models are verified by comparing with the available models, and then the effects of cross-sectional shapes of capillaries and the characteristic parameters of H-B fluid on the average flow velocity, starting pressure gradient and effective permeability are also analyzed. The results show that the present models relate the characteristics of H-B fluid to the microstructure of soil, and both are the most important factors in determining the grouting effect.

Suggested Citation

  • Lei Kou & Ronghu Miao & Fengyang Miao, 2021. "Fractal Analysis Of Non-Newton Fluid Grouting In Soil Composed Of Arbitrary Cross-Sectional Capillaries," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 29(06), pages 1-10, September.
    • Handle: RePEc:wsi:fracta:v:29:y:2021:i:06:n:s0218348x21501395
    DOI: 10.1142/S0218348X21501395
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0218348X21501395
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0218348X21501395?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.

    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:wsi:fracta:v:29:y:2021:i:06:n:s0218348x21501395. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Tai Tone Lim (email available below). General contact details of provider: https://www.worldscientific.com/worldscinet/fractals .

    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.