Sciences in Cold and Arid Regions ›› 2015, Vol. 7 ›› Issue (4): 384–391.doi: 10.3724/SP.J.1226.2015.00384

• ARTICLES • 上一篇    

A method used to determine the upper thermal boundary of subgrade based on boundary layer theory

QingBo Bai1, Xu Li1,2, YaHu Tian1,2   

  1. 1. School of Civil Engineering, Beijing Jiaotong University, Beijing 100044, China;
    2.Qinghai Research and Observation Base, Key Laboratory of Highway Construction & Maintenance Technology in Permafrost Regions, Ministry of Transport, Xining, Qinghai 810001, China
  • 收稿日期:2015-02-26 修回日期:2015-05-15 发布日期:2018-11-23
  • 通讯作者: Ph.D., Xu Li, Associate Professor of Beijing Jiaotong University, Hai Dian District, Beijing 100044, China. Tel: +86-10-51683902; E-mail: cexuli2012@gmail.com E-mail:cexuli2012@gmail.com
  • 基金资助:
    This research is supported by the National Natural Science Foundation of China (Nos. 51378057, 41371081, and 41171064) and the National Key Basic Research Program of China (973 Program, No. 2012CB026104).

A method used to determine the upper thermal boundary of subgrade based on boundary layer theory

QingBo Bai1, Xu Li1,2, YaHu Tian1,2   

  1. 1. School of Civil Engineering, Beijing Jiaotong University, Beijing 100044, China;
    2.Qinghai Research and Observation Base, Key Laboratory of Highway Construction & Maintenance Technology in Permafrost Regions, Ministry of Transport, Xining, Qinghai 810001, China
  • Received:2015-02-26 Revised:2015-05-15 Published:2018-11-23
  • Contact: Ph.D., Xu Li, Associate Professor of Beijing Jiaotong University, Hai Dian District, Beijing 100044, China. Tel: +86-10-51683902; E-mail: cexuli2012@gmail.com E-mail:cexuli2012@gmail.com
  • Supported by:
    This research is supported by the National Natural Science Foundation of China (Nos. 51378057, 41371081, and 41171064) and the National Key Basic Research Program of China (973 Program, No. 2012CB026104).

摘要: In the numerical simulation of long-term subgrade temperature fields, the daily variation of soil temperature at a certain depth h is negligible. Such phenomenon is called the "boundary layer theory."Depth h is defined as the boundary layerthickness and the soil temperature at h is approximately equal to a temperature increment plus the average atmosphere temperature. In the past, the boundary layer thickness and temperature increment were usually extracted from monitored data in the field. In this paper, a method is proposed to determinate the boundary layer thickness and temperature increment. Based on the typical designs of highway or railway, the theoretical solution of boundary layer thickness is inferred and listed. Further, the empirical equation and design chart for determining the temperature increment are given in which the following factors are addressed, including solar radiation, equivalent thermal diffusivity and convective heat-transfer coefficient. Using these equations or design charts, the boundary layer thickness and temperature increment can be easily determined and used in the simulation of long-term subgrade temperature fields. Finally, an example is conducted and used to verify the method. The result shows that the proposed method for determining the upper thermal boundary of subgrade is accurate and practical.

关键词: temperature field, boundary layer, permafrost, subgrade, equivalent thermal diffusivity

Abstract: In the numerical simulation of long-term subgrade temperature fields, the daily variation of soil temperature at a certain depth h is negligible. Such phenomenon is called the "boundary layer theory."Depth h is defined as the boundary layerthickness and the soil temperature at h is approximately equal to a temperature increment plus the average atmosphere temperature. In the past, the boundary layer thickness and temperature increment were usually extracted from monitored data in the field. In this paper, a method is proposed to determinate the boundary layer thickness and temperature increment. Based on the typical designs of highway or railway, the theoretical solution of boundary layer thickness is inferred and listed. Further, the empirical equation and design chart for determining the temperature increment are given in which the following factors are addressed, including solar radiation, equivalent thermal diffusivity and convective heat-transfer coefficient. Using these equations or design charts, the boundary layer thickness and temperature increment can be easily determined and used in the simulation of long-term subgrade temperature fields. Finally, an example is conducted and used to verify the method. The result shows that the proposed method for determining the upper thermal boundary of subgrade is accurate and practical.

Key words: temperature field, boundary layer, permafrost, subgrade, equivalent thermal diffusivity

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