Page 478 - Pipelines and Risers
P. 478

Pipe-in-Pipe and Bundle Systems                                      445


         noncompliant  system force transfer occurs at discrete locations. The structural design  of
         pipe-in-pipe  system  is  more  complex  than  that  of  a  single pipe  system. The  number  of
         components in the system, comprising inner the outer pipes, spacers and bulkheads, and the
         increased amount of welding required.

         The structural behavior of a pipe-in-pipe system is dependent on both the overall behavior of
         the system, and the mechanism of  load transfer between inner and outer pipes. The overall
         effective axial force developed in  the system is dependent on  the operating conditions of
         temperature and pressure,  and  if  the pipeline is in the end expansion zone, on  the friction
         forces developed between the outer pipe and the soil. The stresses that develop within  the
         pipe-in-pipe  assembly are  governed  by  the  type  of  system  used,  i.e.  compliant or  non-
         compliant, and the presence of end bulkheads.
         A  pipeline lying on the seabed will develop effective axial compressive forces within the
         system when subjected to operating temperature and pressure. As the pipeline expands under
         operating conditions, soil friction forces between the outer pipe and the seabed oppose the
         free thermal expansion of the assembly and results in an overall effective axial compressive
         force developing within the system. The magnitude of  the maximum overall effective axial
         force depends on whether or not the pipeline develops full axial constraint. If  the pipeline is
         operating in the end expansion zone, then the overall effective axial force is a function of  the
         soil friction and submerged weight and distance from the spool, given as:
             Peff  =JWS.P~ +R                                              (24.1)


         where, Pe~ the overall effective axial force (compression positive), Ws is the submerged
                  is
         weight,   is the pipe-soil axial friction coefficient and R is the resistance provided by the
         spool. The overall effective axial force increases from the spool location up until it develops
         full axial constraints, given by:
             Peff = -erue 4 - P,                                           (24.2)
                      f
         where:
             PmC- true wall force,
             Pi =  pi.Ai - force due to internal pressure,
             P, =  p,.&  - force due to external pressure,
             pi   - internal pressures,
             pe   - external pressures,
             Ai   - inside areas of the inner pipe,
             A,  - outside mas of the outer pipe.


         The true wall forces for a pipe-in-pipe system comprises both contribution from the inner and
         outer pipes, i.e.
             <me  = Ptl+ 42                                                (24.3)

         where:
             Pt,  true wall forces in the inner pipe
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