A mathematical optimization model of insulation layer's parameters in seasonally frozen tunnel engineering

Zhou, Yuanfu; Zhang, Xuefu; Deng, Jianhui

doi:10.1016/j.coldregions.2014.01.009

Cited by 37 publications

(15 citation statements)

References 11 publications

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“…The parameters for the sandstone are taken in [30,36,37] and are E ¼ 18:1 GPa; m ¼ 0:31; n 0 ¼ 0:108; j ¼ 3:35 Â 10 À16 m 2 ; a ¼ 27:2 Â 10 À6 K À1 [36], k ¼ 3 W= m K; q ¼ 2650 kg=m 3 ; C mv ¼ 0:74 J=m 3 K; [2] and b ¼ 0:86 [38].…”

Section: Parametric Studymentioning

confidence: 99%

“…If we consider underground structures, sub-zero cooling can come from the surrounding rock mass (for example tunnel and pipeline in permafrost or seasonally frozen soils [2,3]), or from the core of the structure (for example tunnel in cold climate within a temperature buffered rock mass [4] or leaking CO2 well submitted to Joule-Thomson cooling [5]). Whatever the case, the structure and the surrounding rock mass are under strong thermal gradient and their behavior is governed by complex coupled processes.…”

Section: Introductionmentioning

confidence: 99%

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Analytical study of freezing behavior of a cavity in thermo-poro-elastic medium

Nguyen

Wong

Fabbri

et al. 2015

Computers and Geotechnics

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Section: Parametric Studymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Analytical study of freezing behavior of a cavity in thermo-poro-elastic medium

Nguyen

Wong

Fabbri

et al. 2015

Computers and Geotechnics

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“…e typical engineering solution to tunnel frost damage in cold regions is laying a thermal insulation layer [11][12][13][14]. Numerous studies have been conducted on the influence of various factors on thermal insulation layer [15][16][17][18]. In accordance with the principle of thermal insulation for permafrost protection, Cheng expounded on the applicability of various thermal insulation layers [19].…”

Section: Introductionmentioning

confidence: 99%

Thermal Conductivity Characteristics of Thermal Insulation Materials Immersed in Water for Cold‐Region Tunnels

Sun

Zhuang

et al. 2020

Advances in Materials Science and Engineering

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This study investigates the distribution of pore water on the basis of the measured mass moisture content after soaking the tunnel insulation material. This study also analyzes the influence of the distribution of pore water on the thermal conductivity of the material on the basis of this mass moisture content. Scanning images of phenolic and polyurethane insulation boards are obtained by computer tomography (CT). The gray volume moisture content (Gv) is deduced based on the CT scanning images, to determine the distribution of pore water (Gv is the ratio of the volume of the water sample (represented by the gray value) to the volume of the saturated water sample (represented by the gray value) which is the gray volume moisture content of the sample). The correlation between gray volume moisture content and mass moisture content is determined by comparing different algorithms of gray volume moisture content and volume moisture content. The relationship between mass moisture content and thermal conductivity can be determined using a self-made quasi-steady-state tester, whereas the relationship between gray volume moisture content and thermal conductivity can be derived indirectly. Related experimental research can predict the thermal conductivity of thermal insulation materials by using a new perspective and shows the influence of pore water distribution on the thermal conductivity of materials.

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“…However, there will always be various frost damage problems [1][2][3][4], such as cracking of tunnel opening, pavement freezing (Figure 1(a)), drainage ditch freezing (Figure 1(b)), lining cracking, ice hanging on vaults, ice hanging on side walls, and other problems, during the operation of tunnels, as shown in Table 1. e groundwater, the low temperature, and the frost heave force are three important factors that result in frost damage [1,2,[4][5][6][7][8][9][10][11][12]. e most important reason for this damage is that the tunnels in the cold regions are built in the complex geological environments with the freeze-thaw cycles [9].…”

Section: Introductionmentioning

confidence: 99%

A Closed‐Form Solution for the Analysis of Antifreeze Disease Fortification Length in a Permafrost Tunnel

Zhang

et al. 2020

Advances in Civil Engineering

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Frost damage in permafrost tunnels is very common, and this can have a negative influence on traffic. The most serious frost damage typically occurs at a certain length from the tunnel opening. Thus the antifreeze measures of the lining structure in this area need to be strengthened. In this study, the antifreeze disease fortification length for permafrost tunnels is determined from heat transfer and mathematical physics equations by the theoretical analysis method. The temperature distribution characteristics of the lining along the tunnel axis under the influence of the tunnel depth, the tunnel radius, the wind velocity at the tunnel opening, and the thermal conductivity of the insulation layer are analysed. The results show that the longitudinal temperature characteristics in the tunnel axis are influenced by many factors. The proposed antifreeze disease length of the permafrost tunnel was found to be approximately 31 times of the tunnel diameter, which agrees with the results of the numerical simulation. It verifies the rationality of the theoretical calculation. This value, 31 times of the tunnel diameter, can be used as a reference for the design of the tunnel antifreeze disease fortification length.

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A mathematical optimization model of insulation layer's parameters in seasonally frozen tunnel engineering

Cited by 37 publications

References 11 publications

Analytical study of freezing behavior of a cavity in thermo-poro-elastic medium

Analytical study of freezing behavior of a cavity in thermo-poro-elastic medium

Thermal Conductivity Characteristics of Thermal Insulation Materials Immersed in Water for Cold‐Region Tunnels

A Closed‐Form Solution for the Analysis of Antifreeze Disease Fortification Length in a Permafrost Tunnel

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