An Analytical Solution to Steady-State Temperature Field in the FSPR Method Considering Different Soil Freezing Points

Author:

Duan Yin,Rong Chuanxin,Huang XianwenORCID,Long WeiORCID

Abstract

Taking the freeze-sealing pipe roof method (FSPR) adopted in the Gongbei Tunnel project as the background, this study develops a simplified calculation model by considering different soil freezing points, tube layout, and site conditions. The analytical solution of the linear single row tubes is then used to formulate the analytical solution of the freezing temperature field of two kinds of linear single row tubes, with equal spacing in the image plane. This is achieved through conformal mapping and the variable separation method. Finally, the analytical solution to the steady-state temperature field of FSPR in the object plane is obtained. The numerical solutions of common freezing parameters in freezing engineering are analyzed to evaluate the accuracy of the analytical solution, and the influence of parameter differences on the freezing temperature field are also discussed, to provide a theoretical reference for popularization and application of similar construction methods.

Funder

Scientific Research Startup Funding for Introducing Talents of Anhui University of Science and Technology

National Natural Science Foundation of China

Publisher

MDPI AG

Subject

Fluid Flow and Transfer Processes,Computer Science Applications,Process Chemistry and Technology,General Engineering,Instrumentation,General Materials Science

Reference38 articles.

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2. Cheng, H. (2016). Theory and Technology of Shaft Sinking by Freezing Method for Deep Alluvium, Science Press. [1st ed.]. (In Chinese).

3. Analytical Solution of Steady-state Temperature Field of Asymmetric Frozen Wall Induced by Directional Seepage;Adv. Eng. Sci.,2022

4. Taylor, R.N. (1994). Geotechnical Centrifuge Technology, Blackie Academic & Professional. [1st ed.].

5. Model Test and Numerical Simulation of Frost Heave During Twin-tunnel Construction using Artificial Ground-freezing Technique;Comput. Geotech.,2019

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