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Stability analysis and protection design of mountain gas pipeline gabion retaining wall based on multi-objective optimization algorithm

Zibin Li

Zibin Li

Chongqing Vocational Institute of Safety TechnologyChina
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Li, Zibin
  
26 sept 2025
Stability analysis and protection design of mountain gas pipeline gabion retaining wall based on multi-objective optimization algorithm's Cover Image
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Publicado en línea: 26 sept 2025
Recibido: 17 ene 2025
Aceptado: 11 may 2025
DOI: https://doi.org/10.2478/amns-2025-1070
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© 2025 Zibin Li, published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 International License.

Figure 1.

A schematic of anti-sliding stability
A schematic of anti-sliding stability

Figure 2.

Capsizing stability calculation schematic
Capsizing stability calculation schematic

Figure 3.

Eccentric distance calculation
Eccentric distance calculation

Figure 4.

The working condition of the protection slope of the gubin protection wall
The working condition of the protection slope of the gubin protection wall

Figure 5.

The relationship between slope Angle and Ea1
The relationship between slope Angle and Ea1

Figure 6.

The effect of slope Angle on the stability of retaining wall
The effect of slope Angle on the stability of retaining wall

Figure 7.

The relationship between the spacing of the wall and Ea1
The relationship between the spacing of the wall and Ea1

Figure 8.

The effect of spacing of retaining wall on the stability of retaining wall
The effect of spacing of retaining wall on the stability of retaining wall

Figure 9.

The effect of the section parameter on the stability of the wall
The effect of the section parameter on the stability of the wall

Figure 10.

Pressure calculation results of gravity retaining wall
Pressure calculation results of gravity retaining wall

Figure 11.

Three methods to prevent the pressure calculation error of the wall
Three methods to prevent the pressure calculation error of the wall

Figure 12.

Gravity retaining wall anti-slip stability safety coefficient
Gravity retaining wall anti-slip stability safety coefficient

Figure 13.

Minimum cost with internal friction Angle
Minimum cost with internal friction Angle

Figure 14.

The minimum cost is accompanied by the change in the heavy γs
The minimum cost is accompanied by the change in the heavy γs

Optimized results of different internal friction Angle

Design variable Parameter Unit Internal friction Angle (°)
20 30 40 50
Top of the wall w m 0.101 0.213 0.275 0.158
Toe plate B1 m 0.307 0.308 0.307 0.307
Wall bottom B2 m 0.307 0.308 0.307 0.307
Heel plate B3 m 1.485 1.485 1.485 1.487
Floor thickness D m 0.099 0.099 0.098 0.099
The area of the wall is reinforced A1 mm2 847.985 680.981 540.009 421.978
The area of the cross section of the toe plate A2 mm2 119.996 106 93.961 64.004
The area of the section of the heel plate A3 mm2 669.995 521.99 397.004 293.016
The ratio of the length of the non-pass long tendon to the length of the tube N - 0.244 0.232 0.241 0.238
Minimum cost Costmin Yuan 1621.003 1606.995 1594.008 1584.008

The results were optimized in different soil and heavy γs

Design variable Parameter Unit Weight γs (kg/m3)
10 15 20 25
Top w m 0.1258 0.1287 0.1254 0.1193
Toe plate B1 m 0.307 0.308 0.307 0.307
Wall bottom B2 m 0.307 0.308 0.307 0.307
Heel plate B3 m 1.485 1.485 1.485 1.487
Floor thickness D m 0.101 0.1 0.1 0.101
The area of the wall is reinforced A1 mm2 784.502 844.573 948.643 1012.076
The area of the cross section of the toe plate A2 mm2 111.814 118.745 133.74 137.888
The area of the section of the heel plate A3 mm2 618.706 666.408 750.719 801.709
The ratio of the length of the non-pass long tendon to the length of the tube N - 0.2438 0.2435 0.2307 0.2321
Minimum cost Costmin Yuan 1614.331 1624.044 1631.258 1636.547

The results of the sensitivity of each parameter

Parameter name The absolute value of the KC
Effective internal friction Angle φ 1.23317
Surface load Pk 1.154368
Soil fill γs 1.481067
Base friction coefficient f 0.896541
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Ciencias de la vida, Ciencias de la vida, otros, Matemáticas, Matemáticas aplicadas, Matemáticas generales, Física, Física, otros
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