Artificial ground freezing by solid carbon dioxide – Analysis of thermal performance

Nikolaev, Petr; Sedighi, Majid; Rajabi, Hamid; Pankratenko, Alexander

doi:10.1016/j.tust.2022.104741

Cited by 14 publications

(2 citation statements)

References 24 publications

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“…The formulation can be used for analysis of heat transfer with and without the phase change. The specialisation to problems with axial symmetry can be used to study: the process of energy extraction from soils and rocks by borehole heat exchangers or energy piles [24]; artificial ground freezing by a single freeze pipe [3,25,26]; and heat transfer in insulated wires and buried tunnels and pipes [27,28]. Since heat transfer in a substance and mass transport in porous media are described by similar mathematical expressions, the proposed formulation can be applied to study: the process of water flow in soils around a single water well or drainage in open pits and tunnels [29]; and the process of wood drying [30].…”

Section: Introductionmentioning

confidence: 99%

Non-Local Formulation of Heat Transfer with Phase Change in Domains with Spherical and Axial Symmetries

Nikolaev

Jivkov²,

Margetts³

et al. 2023

J Peridyn Nonlocal Model

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Describing heat transfer in domains with strong non-linearities and discontinuities, e.g. propagating fronts between different phases, or growing cracks, is a challenge for classical approaches, where conservation laws are formulated as partial differential equations subsequently solved by discretisation methods such as the finite element method (FEM). An alternative approach for such problems is based on the non-local formulation; a prominent example is peridynamics (PD). Its numerical implementation however demands substantial computational resources for problems of practical interest. In many engineering situations, the problems of interest may be considered with either axial or spherical symmetry. Specialising the non-local description to such situations would decrease the number of PD particles by several orders of magnitude with proportional decrease of the computational time, allowing for analyses of larger domains or with higher resolution as required. This work addresses the need for specialisation by developing bond-based peridynamic formulations for physical problems with axial and spherical symmetries. The development is focused on the problem of heat transfer with phase change. The accuracy of the new non-local description is verified by comparing the computational results for several test problems with analytical solutions where available, or with numerical solutions by the finite element method.

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Section: Introductionmentioning

confidence: 99%

Non-Local Formulation of Heat Transfer with Phase Change in Domains with Spherical and Axial Symmetries

Nikolaev

Jivkov²,

Margetts³

et al. 2023

J Peridyn Nonlocal Model

Self Cite

View full text Add to dashboard Cite

show abstract

“…Sci. 2022, 12, 11879 2 of 18 and underground work, so as to carry out safe construction under the protection of the freezing wall [3][4][5]. The artificial ground freezing method is applicable to the construction of underground work in water rich areas.…”

Section: Introductionmentioning

confidence: 99%

Mechanical Analysis of Frozen Wall with Trapezoidal Temperature Field Distribution Based on Unified Strength Theory

Shi

Long

et al. 2022

Applied Sciences

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In order to study the elastic–plastic stress field distribution of a double-row-pipe frozen wall, the temperature field of the double-row-pipe frozen wall is equivalent to a trapezoidal distribution, and the frozen wall is regarded as an elastic–plastic thick-walled cylinder with functionally gradient material (FGM) characteristics in the radial direction. Considering that the elastic modulus and cohesion of the frozen wall material change linearly with the radius, the elastic–plastic analysis of the frozen wall is carried out based on unified strength theory. The analytical solutions of the elastic–plastic stress field distribution, the elastic ultimate bearing capacity, the plastic ultimate bearing capacity, and the relative radius of the plastic zone of the frozen wall are derived. The analytical solution is calculated based on the engineering case and compared with the numerical solution obtained based on COMSOL. At the same time, the influence of strength theory parameters on the mechanical properties of heterogeneous and homogeneous frozen walls is analyzed. The results show that the analytical solution and the numerical solution are in good agreement, and their accuracy is mutually verified. The external load on the frozen wall of the selected layer is greater than its elastic ultimate bearing capacity and less than its plastic ultimate bearing capacity, which indicates that the frozen wall is in a safe state of stress. The radial stress increases with the increase in the strength theoretical parameter b and the relative radius r, the tangential stress increases with the increase in the strength theoretical parameter b, and first increases and then decreases with the increase in the relative radius r. The larger the strength theoretical parameter b, the smaller the relative radius of the plastic zone of the frozen wall. The strength theoretical parameter b increases from 0 to 1, the elastic ultimate bearing capacity and plastic ultimate bearing capacity of the heterogeneous frozen wall increase by 33.3% and 40.8%, respectively, and the elastic ultimate bearing capacity and plastic ultimate bearing capacity of the homogeneous frozen wall increase by 33.3% and 41.0%, respectively. Therefore, considering the influence of intermediate principal stress, the potential of materials can be fully exerted and the ultimate bearing capacity of frozen walls can be improved. This study can provide theoretical reference for the design and construction of frozen wall.

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The Effect of Temperature Pathways on Unfrozen Water and Thermal Parameters of Frozen Soils

Chen,

Rao,

Wan

2024

Soil Mech Found Eng

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Artificial ground freezing by solid carbon dioxide – Analysis of thermal performance

Cited by 14 publications

References 24 publications

Non-Local Formulation of Heat Transfer with Phase Change in Domains with Spherical and Axial Symmetries

Non-Local Formulation of Heat Transfer with Phase Change in Domains with Spherical and Axial Symmetries

Mechanical Analysis of Frozen Wall with Trapezoidal Temperature Field Distribution Based on Unified Strength Theory

The Effect of Temperature Pathways on Unfrozen Water and Thermal Parameters of Frozen Soils

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