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Figure 1

Numerical model for initial state.
Numerical model for initial state.

Figure 2

Numerical model after excavation.
Numerical model after excavation.

Figure 3

Numerical model for final stage.
Numerical model for final stage.

Figure 4

Numerical model – 1st variant.
Numerical model – 1st variant.

Figure 5

Numerical model – 2nd variant.
Numerical model – 2nd variant.

Figure 6

Numerical model – 3rd variant.
Numerical model – 3rd variant.

Figure 7

Changes of pipe diameter in time.
Changes of pipe diameter in time.

Figure 8

Deformations of pipe in time.
Deformations of pipe in time.

Parameters of soils.

NoSymbolSoil typeγφ’c’ψE0ν
kN/m3°kPa°MPa-
1IaSandy-clay20.91.4518.014.521.50.317
2IbSandy-clay20.912.514.01.2517.00.322
3IcSandy-clay20.910.011.01.0012.50.304
4IdSandy-clay20.96.09.00.607.50.327
5IeGravel18.838.01.014.00127.00.220
6IIaPeats/organic soil11.51.610.20.160.850.350
7IIIaSandy-silt/silty-clay18.86.012.00.604.50.347
8IIIbFine sand/clay-sand20.033.01.09.0060.00.307
9IVaSandy-clay/clay-sand22.018.533.01.8527.50.332
10IVbSandy-clay/clay-sand21.316.526.01.6522.00.278
11zasypkaGravel16.531.01.07.0046.00.250
12nasypSand20.033.050.09.0080.00.25

Maximum values of horizontal (ux) and vertical (uz) displacements and changes of pipe diameter (ΔD, ΔD%).

1st variant2nd variant3rd variant
uxuzΔDΔD %uxuzΔDΔD %uxuzΔDΔD %
Timemmmm%mmmm%mmmm%
After foundation of the pipe-4-38-8-1.28-6-38-9-1.38-25-82-44-6.81
I stage of embankment6-39-8-1.316-39-9-1.40-17-83-44-6.81
II stage of embankment19-42-10-1.5422-41-10-1.5535-85-44-6.87
III stage of embankment29-44-12-1.8433-43-11-1.7748-85-45-6.99
IV stage of embankment44-48-15-2.3448-45-14-2.2266-85-46-7.15
V stage of embankment67-51-20-3.0674-47-20-3.0594-85-49-7.70
VI stage of embankment96-55-26-4.02110-49-27-4.22138-83-54-8.43
Final stage139-61-35-5.40190-53-42-6.64290-80-65-10.21

Comparison of FOS for different types of beddings depending on the stage of construction.

Time1st variant2nd variant3rd variant4th variant
I stage of embankment3.803.65 (-3.9 %)3.60 (-5.3 %)3.00 (-21.1 %)
II stage of embankment2.702.65 (-1.9 %)2.55 (-5.6 %)2.05 (-24.1 %)
III stage of embankment2.202.10 (-4.5 %)2.05 (-6.8 %)1.65 (-25.0 %)
IV stage of embankment1.801.75 (-2.8 %)1.70 (-5.6 %)1.35 (-25.0 %)
V stage of embankment1.501.45 (-3.3 %)1.40 (-6.7 %)<1.0
VI stage of embankment1.351.30 (-3.7 %)1.25 (-7.4 %)<1.0
Final stage1.001.00 (0 %)1.00 (0 %)<1.0
Average difference-3.4 %-6.2 %-23.8 %
eISSN:
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Inglés
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Temas de la revista:
Geosciences, other, Materials Sciences, Composites, Porous Materials, Physics, Mechanics and Fluid Dynamics