I assume you are past the point of thermal analysis and finding the thermal heat loss properties (heat loss shape factor) of the 3-pipe configuration within the ground and are now concentrating on limmiting stresses within the installed pipeline.
If the insulation is not rigid, it should be encased within a casing pipe. I have done uninsulated hot oil lines to 190ºF without any insulation other than that provided by the soil. If you can take the energy consumption hit, its the easiest, if not, better to encase it. If you cannot encase it, you must protect the insulation from crushing at the bends somehow. Honeycomb blocks added to the backfull?
Its tricky with a hot buried line. Yes, at that temperature you can/will have problems at both the horizontal and vertical bends if the alignment is not very carefully controlled. Virtual anchors (wherever a local pipeline segment has no relative movement with the soil when both are heated up) are set up at various locations along the pipeline. The pipeline tends to displace away from those points. They will be for example, at horizontal bends and at underbends at the bottoms of a slight valley in the alignment. In the vertical direction, the pipe will expand from each valley towards the overbend at the top of the peak inbetween valleys. At the peak, you may experience sufficient uplift to raise the pipe off the bedding. In extreme cases, it may be sufficient to pop the pipe up out of the ground. Generally I have found that you should limit vertical bends to a maximum of 5-7º to avoid problems. In some cases it will require extra cover above the pipe at the high points to maintain enough soil load above to hold the pipe down in contact with the bedding.
At horizontal bends, out-thrusts will tend to move the pipe into the side of the ditch and in the process, it will tend to climb up and out of the ditch there as well. Horizontal bends should allow sufficient movement to avoid such or risk crushing any uncased insulation and lifting the pipe out of the trench. Extra depth may be required at those bends to accquire enough soil load on top to hold the pipe down.
Pipe buckles are also a possibility as the pipe heats up, especially at overbends and underbends where the pipe has little lateral stability (only provided by soil load on top) and already has a bowed shape, the pipe will have a natural tendency to buckle upwards, if the soil load on top is not sufficient to maintain the profile as buried.
It should all be a careful balance between axial expansion loads, +/- uniformly distributed soil load on top, resisting soil load due to bedding below, critical buckling load and actual buckling load. Possible uplift off the bedding and span length must be limited at the overbends.
Be very careful at how you approach the "minor gullies". With a hot line, they are not minor. The need to control bends to within 5 to 7 degrees will require backing well off and beginning a slow drop to pass below the gullies, so that will probably be at least a 5 to 6 meter cut, if no scour is predicted. If you try to place the pipe in a "U "configuration, sidewall failure and pipe punch out at the gully wall may be possible, if not you could certainly overstress by bending at the bottom of the U with all the axial growth squeezing in at the top.
BigInch
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-born in the trenches.