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Fig 1.

The schematic diagram of the computer program.

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Fig 2.

Structural representation of the single-slope tunnel pipeline in oil and gas engineering.

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Fig 3.

Engineering model of the slope tunnel pipeline.

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Fig 4.

Simplified model of the elbow.

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Fig 5.

Mechanical model after simplification.

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Fig 6.

Internal force of the elbow structure at the entrance and the exit.

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Fig 7.

Statically indeterminate mechanical model of the elbow structure at the entrance and the exit.

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Fig 8.

Elbow structure established by applying unit force to the entrance and the exit.

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Fig 9.

Calculation of M and Q values after pipeline flexure deformation.

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Fig 10.

Integral engineering model of the slope tunnel pipeline.

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Fig 11.

Local engineering model in and out of the opening.

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Table 1.

Results for push force of anchor block at the tunnel entrance when the tunnel gradient varies.

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Table 2.

Results for the anchor block push force at the tunnel exit when the tunnel gradient varies.

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Table 3.

Comparison of anchor block push forces under the operating condition at the tunnel entrance.

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Table 3 Expand

Table 4.

Comparison of anchor block push force under the operating condition at the tunnel exit.

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Table 4 Expand

Fig 12.

Block push force results with a pipeline diameter of 1016 mm.

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Fig 13.

Block push force results with a pipeline diameter of 1219 mm.

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Fig 14.

Anchor blocks at entrances.

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Fig 15.

Anchor blocks at exits.

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Fig 16.

Concrete sliding blocks.

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Fig 17.

Steel sliding blocks.

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Fig 18.

Tunnels.

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Fig 19.

Pipelines.

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Fig 20.

Fixed pipelines.

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Fig 21.

Unfixed pipelines.

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