An "anchor with a displacement", or just a "displacement" is the same thing - a fixed boundary condition. If the end of your riser connects to the pipeline, you are correct, this is not a fixed boundary.
The best method is to model part of the pipeline, crossing 3 or 4 (pipeline restraints) so that the effects of the pipeline are minimized. You're still ignoring what the pipeline is doing, but this is better than the fixed boundary.
_________________________
Regards,
Richard Ay - Consultant