IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v13y2025i2p286-d1569292.html
   My bibliography  Save this article

Analytical Solution for Surrounding Rock Pressure of Deep-Buried Four-Hole Closely Spaced Double-Arch Tunnel

Author

Listed:
  • Xianghao Sun

    (School of Resources and Safety Engineering, Central South University, Changsha 410006, China)

  • Qi Shi

    (Road & Bridge South China Engineering Co., Ltd., Zhongshan 528403, China)

  • Jian Wu

    (School of Resources and Safety Engineering, Central South University, Changsha 410006, China
    Road & Bridge South China Engineering Co., Ltd., Zhongshan 528403, China)

  • Dunwen Liu

    (School of Resources and Safety Engineering, Central South University, Changsha 410006, China)

  • Shan Wu

    (School of Resources and Safety Engineering, Central South University, Changsha 410006, China)

Abstract

Research on the calculation method of deep-buried surrounding rock pressure is an important subject in engineering mathematics. The existing calculation methods are mainly the two-hole closely spaced tunnel, double-arch tunnel, three-hole closely spaced tunnel, and three-arch tunnel. The four-hole closely spaced double-arch tunnel has the characteristics of both the double-arch tunnel and closely spaced tunnel, and its surrounding rock pressure distribution is more complicated. In this paper, the research is carried out based on Protodyakonov’s theory and the concept of process load. The influence of the post-construction tunnel on the supporting structure of the pre-construction tunnel is also considered. The calculation model of the surrounding rock pressure of the deep-buried four-hole closely spaced double-arch tunnel is established, and the calculation formula of the surrounding rock pressure is deduced and verified. Finally, the influences of the rock column parameters, excavation procedure, tunnel span, and middle partition wall on the surrounding rock pressure are analyzed.

Suggested Citation

  • Xianghao Sun & Qi Shi & Jian Wu & Dunwen Liu & Shan Wu, 2025. "Analytical Solution for Surrounding Rock Pressure of Deep-Buried Four-Hole Closely Spaced Double-Arch Tunnel," Mathematics, MDPI, vol. 13(2), pages 1-25, January.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:2:p:286-:d:1569292
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/13/2/286/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/13/2/286/
    Download Restriction: no
    ---><---

    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:gam:jmathe:v:13:y:2025:i:2:p:286-:d:1569292. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.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.