Artificial ground freezing: A review of analytical solution to steady-state temperature field

IF 7.4 1区工程技术 Q1 CONSTRUCTION & BUILDING TECHNOLOGY

Tunnelling and Underground Space Technology Pub Date : 2025-09-29 DOI:10.1016/j.tust.2025.107034

Shengjun Deng , Wen Cao , Yang He , Xiaonan Gong , Xiangdong Hu

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引用次数: 0

Abstract

Benefit from water sealing advantages, artificial ground freezing method is widely applied in the construction of underground engineering. Compared with conventional ground improvement technique, it has the advantage of green, low-carbon and pollution-free. Temperature serves as a key indicator for assessing whether the frozen soil curtain has achieved the required thickness. The analytical solution of the steady-state temperature field is an effective method for predicting the temperature development state of frozen soil curtain. A comprehensive overview of related publications that discuss analytical solutions to steady-state temperature field of the frozen soil curtain under various tube layouts is provided in this paper. These layouts can be categorized into various types, such as a single tube, a few tubes, row-type tube layouts (single row, double rows, triple rows and multiple rows), circle-type tube layouts (single circle, double circles and triple circles), and other condition of asymmetric temperature distribution due to the seepage. Several numerical solutions, such as boundary separation method, potential function superposition method, and conformal transformation method are utilized to derive the analytical solutions. This review offers a relatively all-sided summary of the current analytical solutions to the steady-state temperature field, thereby contributing to the advancement of temperature field theory of artificial ground freezing.

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人工冻结地面：稳态温度场解析解综述

人工冻结法由于具有止水的优点，在地下工程施工中得到了广泛的应用。与传统的地面改良技术相比，具有绿色、低碳、无污染的优点。温度是评价冻土帷幕厚度是否达到要求的关键指标。稳态温度场解析解是预测冻土帷幕温度发展状态的有效方法。本文全面综述了国内外有关讨论不同布置方式下冻土帷幕稳态温度场解析解的相关文献。这些布置可分为单管布置、几管布置、排管布置（单排、双排、三排、多排）、圆管布置（单圆、双圆、三圆）以及其他由于渗流导致温度分布不对称的情况。利用边界分离法、位函数叠加法和保角变换法等数值解法推导了解析解。本文对目前稳态温度场的解析解进行了较为全面的总结，有助于人工冻结温度场理论的发展。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Tunnelling and Underground Space Technology 工程技术-工程：土木

CiteScore

11.90

自引率

18.80%

发文量

454

审稿时长

10.8 months

期刊介绍： Tunnelling and Underground Space Technology is an international journal which publishes authoritative articles encompassing the development of innovative uses of underground space and the results of high quality research into improved, more cost-effective techniques for the planning, geo-investigation, design, construction, operation and maintenance of underground and earth-sheltered structures. The journal provides an effective vehicle for the improved worldwide exchange of information on developments in underground technology - and the experience gained from its use - and is strongly committed to publishing papers on the interdisciplinary aspects of creating, planning, and regulating underground space.