Analytical solution for the temperature field of an elliptical tunnel in cold regions

For the existing tunnels, only few of them are circular sections, the most of them are approximately elliptical sections. Correspondingly, the existing analytical solution researches basically focus on the circular tunnels. To study the distribution law of temperature field of an elliptical section tunnel in cold region, the conformal mapping method is adopted in this paper. Through the conformal mapping method function, a circular function in complex variable space is transformed into an elliptic function in Euclidean space, and then the analytical solution of variation law of temperature field of elliptic section tunnel is derived based on the analytical solution of temperature field of a circular tunnel in complex variable space. An analytical solution example for the temperature field distribution of an elliptical section tunnel in cold region is derived, the calculation results show that: (1) Sizes and variation rates of elliptic freezing surface are greatly affected by freezing time. At the outset, the elliptic freezing surface changes relatively quickly with the increase of freezing time, but the elliptic freezing surface changes relatively slowly when the freezing time is relatively long. (2) The temperature values on a certain elliptic cross section surface decrease with the increase of freezing time. (3) The ratio of the major semidiameter to minor semidiameter of elliptic freezing surfaces is getting closer to 1 with the increase of freezing time. It is also said that the elliptic freezing surface changes from ellipse to circle with the freezing time increasing. By comparing the analytical solution with the numerical solution, it is found that the analytical solution proposed in this paper has high accuracy. This study can provide important theoretical and engineering guidance for the evaluation, design, construction and maintenance of tunnel engineering in seasonally frozen soil regions and permafrost regions, and this study also has important scientific value.

• Record URL:
  https://doi.org/10.1016/j.coldregions.2023.103793
• Record URL:
  http://www.sciencedirect.com/science/article/pii/S0165232X2300023X
• Availability:
  • Find a library where document is available. Order URL: http://worldcat.org/issn/0165232X
• Supplemental Notes:
  • © 2023 Elsevier B.V. All rights reserved. Abstract reprinted with permission of Elsevier.
• Authors:
  • Zhao, Yanhu
  • Zhang, Jing
  • Li, Linjing
  • Hu, Taotao
  • Zhao, Yawei
• Publication Date: 2023-4

Language

• English

Media Info

• Media Type: Web
• Features: References;
• Pagination: 103793
• Serial:
  • Cold Regions Science and Technology
  • Volume: 208
  • Issue Number: 0
  • Publisher: Elsevier
  • ISSN: 0165-232X
  • Serial URL: https://www.sciencedirect.com/science/journal/0165232X?sdc=2

Subject/Index Terms

• TRT Terms: Ellipses; Frigid regions; Temperature; Tunnels
• Subject Areas: Bridges and other structures; Highways; Maintenance and Preservation;

Filing Info

• Accession Number: 01877632
• Record Type: Publication
• Files: TRIS
• Created Date: Mar 28 2023 9:56AM