Analytical solution for three-dimensional radial heat transfer in a cold-region tunnel

Liu, Weiwei; Feng, Qiang; Wang, Cheng-Xiang; Lu, Chengkun; Xu, Zhuangzhuang; Li, Weiteng

doi:10.1016/j.coldregions.2019.102787

Cited by 29 publications

(11 citation statements)

References 18 publications

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“…In engineering, the relationship between the mass moisture content and thermal conductivity of porous building materials is usually expressed as a linear function, as follows [42][43][44]:…”

Section: Relationship Between the Ermal Conductivity And Massmentioning

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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Section: Relationship Between the Ermal Conductivity And Massmentioning

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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“…Western China's rapid development has led to an increasing number of resource mining operations and the construction of large-scale infrastructure projects in cold regions. However, freeze-thaw cycles have posed a great threat to the stability of rock mass engineering in cold regions (Liu et al 2019). Furthermore, numerous freeze-thaw cycles have the potential to cause a series of geological engineering problems, such as weathering and destabilization of rock slopes (Krautblatter et al 2013;Pudasaini and Krautblatte 2014).…”

Section: Introductionmentioning

confidence: 99%

Study on a Damage Model and Uniaxial Compression Simulation Method of Frozen–Thawed Rock

et al. 2021

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To evaluate the deterioration degree of rock freeze-thaw damage in cold area engineering, it is necessary to establish an accurate freeze-thaw rock damage model and its uniaxial compression numerical simulation method. Therefore, indoor freeze-thaw cycle tests of saturated yellow sandstone were carried out. The porosity and P-wave velocity were measured, and uniaxial compression tests were conducted after different numbers of freeze-thaw cycles. The findings indicate that with an increasing number of freeze-thaw cycles, the elastic modulus, peak strength and wave velocity of the yellow sandstones gradually decrease, while the peak strain and the average porosity increase. The energy evolution law with different numbers of freeze-thaw cycles was analyzed, a freeze-thaw damage model was established according to the relative change in the dissipated energy ratio before and after freezing-thawing, and the accuracy of this damage model and five common damage models was evaluated by the uniaxial compressive strength and peak strain. The functional relationship between mesoscopic parameters and the number of freeze-thaw cycles was formulated to establish a numerical simulation method for saturated sandstones under uniaxial compression after freeze-thaw cycling. The reliability of the numerical method was verified by comparing the stress-strain curve, peak stress, peak strain and energy law with the experimental results.

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“…Ma et al [26] analyzed the insulation effect of different insulation thicknesses and laying positions and established the relationship between the insulation effect and the thicknesses. Combining Plath's equation and Fourier integral transform, Liu et al [27] studied the temperature filed of a tunnel in cold environment under the conditions of different convective heat transfer coefficients, different insulation thicknesses, and different initial temperatures.…”

Section: Introductionmentioning

confidence: 99%

Study on the Freeze-Thaw Process of the Lining Structures of a Tunnel on Qinghai-Tibet Plateau with the Consideration of Lining Frost Damage

Zhang

Zhu

et al. 2021

Advances in Materials Science and Engineering

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In seasonally frozen ground, there are many frost problems in highway road tunnel after its excavation due to the heat exchange between the cold air and lining structure inside the tunnel. To mitigate these frost-related damages, thermal insulation layer is widely used at entrance and exit sections of the tunnel. In this study, a coupled mathematical model of heat, moisture, and stress was built for tunnels in seasonally permafrost regions. Then, based on the field-observed air temperature inside a roadway tunnel at Altun Mountain on the Qinghai-Tibet Plateau (QTP), seasonal freeze-thaw process of the surrounding rocks (SR) and lining structures were numerically investigated with the consideration of insulation methods: without insulation (WTIL) and laying the insulation layer on the inner surface of the second lining structure (STIL). Combined with the principle of Miner damage accumulation, the stress regimes of the lining structures of tunnel were investigated in WTIL and STIL. The results show that there was a significantly thermal disturbance of the SR after the tunnel excavation. In the 5th year of the operation period, the maximum seasonal freeze depth (MSFD) of the SR can reach 1.6 m at the vault of the arch and that at the inverted arch was only 1.0 m due to the pavement inside the tunnel. Then, both the absolute maximum value of the maximum principal stress (MAPS) and minimum principal stress (MIPS) in cold season were bigger than those in warm season comparing the value of the stress filed of the lining structure. In the same way, both the MAPS and MIPS of the lining structure in WTIL are bigger than those in STIL in numerical simulation. The positions of the maximum tensile stress of the primary lining structure in STIL and WTIL were inverted arch. For the lining structures, the greater tensile stress was generally harmful. Thus, the inverted arch of the tunnel should be laid on the insulation layer.

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Analytical solution for three-dimensional radial heat transfer in a cold-region tunnel

Cited by 29 publications

References 18 publications

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

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

Study on a Damage Model and Uniaxial Compression Simulation Method of Frozen–Thawed Rock

Study on the Freeze-Thaw Process of the Lining Structures of a Tunnel on Qinghai-Tibet Plateau with the Consideration of Lining Frost Damage

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