Average Temperature Model of Double-Row-Pipe Frozen Soil Wall by Equivalent Trapezoid Method

Hu, Xiangdong

doi:10.1063/1.3452098

Cited by 8 publications

(8 citation statements)

References 3 publications

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“…However, the frozen wall is essentially a functionally graded material with temperature gradient, and its mechanical properties and material parameters will also vary with temperature. Hu et al [24][25][26][27] simplified the temperature field of a double-row-pipe and triple-row-pipe into parabola, equivalent trapezoid and trapezoid parabola superposition models, respectively. The simplified models were verified, which played a huge role in promoting the research on mechanical properties of heterogeneous frozen walls.…”

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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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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“…Li and Xia [13] obtained an approximate analytical solution for transient frozen soil temperature distribution based on the exponential integral function. Hu and He [14,15] derived the equivalent trapezoidal algorithm for calculating the average temperature of the frozen wall of double or multiple rows of pipes based on the Bajorkin formula. In addition, many scholars have conducted various studies on the freezing temperature field using various technical means [16][17][18][19].…”

Section: Introductionmentioning

confidence: 99%

Structure Design and Flow Field Analysis of a Model Test Box Used to Study Freezing Temperature Field of Seepage Stratum

Shan

Liu

et al. 2021

Advances in Materials Science and Engineering

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To meet the research needs of the freezing temperature field under seepage, we investigate and design a seepage-freezing model test box, which can meet the requirements of strength, deformation, dispersed flow, simulated laminar flow, and water sealing performance. Using theoretical analysis and calculation, the pressure design index of the model box was obtained. Based on safety considerations, the model test box was designed with a pressure vessel bearing of 0.05 MPa. The structure of “sink + porous plate” was used inside the box. By flow field analysis, the porous plate can effectively reduce the influence of flow convergence to the orifice on the flow field and achieve the purpose of dispersed-water flow and laminar flow simulation. The composite structure form of “panel + frame beam” was adopted to perform the load-bearing test. Under the pressure of 0.05 MPa, the maximum deformation in the x, y, and z directions was <2.4 mm, and the maximum stress was approximately 248 MPa. The model box could meet the requirements of strength and deformation. Water sealing between the upper cover plate and lower box body was achieved by arranging bolts, iron sheets, and silica gel strips. After testing the processed box, we found that the designed box can fully meet the test requirements. These research results may be used as a reference for the development and design of other seepage-freezing model test boxes.

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“…After verifying the model through experimental data, the optimal placement of frozen pipes was obtained. Based on the Bakholdin formula, Hu and He [7,8] derived the equivalent trapezoidal algorithm to calculate the average temperature of the double-row-pipe or even the multirow-pipe frozen wall. Based on the potential superposition theory, multipipe steady-state freezing temperature field was achieved.…”

Section: Introductionmentioning

confidence: 99%

“…Until now, a lot of research studies have been performed on the stratum freezing technology [1,[6][7][8][9][10][11][12][13][14][15][16][17][18][19], but some limitations still exist. Firstly, when they are used to study the development law of the frozen wall under the seepage, most of the model tests are the single-row-pipe frozen one.…”

Section: Introductionmentioning

confidence: 99%

Experimental Study on Influencing Factors of Characteristic Index of Local Horizontal Frozen Body of Double‐Row Pipe under Seepage

Shan

Liu

et al. 2020

Advances in Materials Science and Engineering

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In order to deeply understand the influence of different factors on the characteristic indicators of the double-row-pipe partial horizontal frozen body in the sand-gravel stratum under the effect of seepage flow, several sets of sand-gravel stratum frozen model tests were carried out based on the similarity theory. The research showed that (1) under the effect of seepage flow, the backwater surface of the horizontal frozen body is in the shape of a quadratic parabolic and the development velocity of the backwater surface is inversely proportional to the square of the freezing time. The influence of seepage velocity on the downstream length and the freezing front development velocity of the backwater surface is stronger than the refrigerant temperature; (2) overlap time of the second row of frozen soil column increases with the increase of the distance between frozen pipes and seepage velocity and decreases with the decrease of the refrigerant temperature. The influence of various factors on the overlap time follows the order as the distance between freezing pipes > seepage velocity > refrigerant temperature. The average development velocity of the upstream surface decreases with the increase of the seepage velocity and the refrigerant temperature and first increases and then decreases with the increase of freezing pipe spacing. The influence of various factors on the average development velocity follows the order as seepage velocity > the distance between freezing pipes > refrigerant temperature. In addition, through the regression analysis, the quantitative relationship between the maximum arrangement spacing of the frozen pipes, the seepage velocity, and the refrigerant temperature was obtained. The research results can provide a basis for large-area partial horizontal freezing construction in Beijing sand-gravel stratum.

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Average Temperature Model of Double-Row-Pipe Frozen Soil Wall by Equivalent Trapezoid Method

Cited by 8 publications

References 3 publications

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

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

Structure Design and Flow Field Analysis of a Model Test Box Used to Study Freezing Temperature Field of Seepage Stratum

Experimental Study on Influencing Factors of Characteristic Index of Local Horizontal Frozen Body of Double‐Row Pipe under Seepage

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