Hi MISA,
Sorry in advance; this is going to be a bit lengthy.
Let me assume that you have been through the discussions of how to protect the insulation and jacket from the graveled ground as the pipeline moves, and that you have dismissed the shoe & discrete support option.
Obviously, you need to consider friction between gravel and jacket. The pipe wants to elongate under temperature increase and pressure, and the friction forces (force per length) want to prevent that. As you have a "sandwich" system with three interfaces ( gravel-jacket; jacket-insulation; insulation-pipe), you need to establish the weakest link first to check whether the friction forces can make it all the way to the pipe, or whether failure (=slippage) will occur at any one interface.
Assuming that the interfaces are strong enough to transfer the friction forces and that the accumulated friction forces (force per length x length of straight line) fully restrain the pipe, you can now check whether the pipe wall thickness is sufficient to take the combined longitudinal plus hoop stress. B31.11, para 1119.6.4(b) describes the relevant equation. This is a hand calculation. Adjust the pipe wall if required.
Now you may start the CAESAR model. You only need to model the pipe bends to the virtual anchor lengths on each side, because the fully restraint straight sections were qualified earlier by the hand calculation.
I would not use the underground modeler because it requires the input of biaxial spring values for horizontal restraints, which in your case represent static and dynamic friction between gravel and jacket, and where will you get that from? Rather, model the pipe as being supported at short intervals (say, every 5m) and add the friction coefficent between jacket and gravel. Of course, you may ignore the sustained stress calculation because there are no bending moments due to weight.
Check the stress at the bends in accordance with B31.11, 1119.6.4(c) and that's it. You will likely find that:
- you need 5D bends rather than elbows to reduce the SIFs,
- the displacements at the bends are large
- bends with angles below 60 deg are overstressed and require anchors
Check the settings in CAESAR to ensure suitability for pipeline analysis (Bourdon effect ON, hoop stress calculated for OD, etc.). Do not use the "corroded wall thickness fields but just run new pipe wall and corroded thickness in separate models because there is a bug in CAESAR in the stress calculations.
It should take you about 100 hours to do the job, including report. Happy analyzing!