Page 16 - Pipelines and Risers
P. 16

Contents                                                             XI11

         6.5   Hydrodynamic Forces ............................................................................................................................  91
           6.5.1   Hydrodynamic  Drag and Inertia Forces .........................................................................................   91
           6.5.2   Hydrodynamic Lift Forces .............................................................................................................  94
         6.6   References  ..............................................................................................................................................   95
        Chapter 7  Finite Element Analysis of In-situ Behavior                97
         7.1   Introduction ............................................................................................................................................  97
         7.2   Description  of the Finite Element Model ...............................................................................................   98
           7.2.1   Static Analysis Problems  ................................................................................................................  98
           7.2.2   Dynamic Analysis Problems ...............................................................
         7.3   Steps in an Analysis and Choice of Analysis Procedure .............................   ...................................   101
           7.3.1   The Static Analysis Procedure  .....................................................................................................  101
           7.3.2   The Dynamic Analysis Procedure ................................................................................................   101
         7.4   Element Types used in the Model ........................................................................................................  102
         7.5   Non-linearity and Seabed Model .........................................................................................................   104
           7.5.1   Material Model .............................................................................................................................   104
           7.5.2   Geometrical non-linearity .................................................
           7.5.3   Boundary Conditions ........................................................
           7.5.4   Seabed Model ....................................................................
         7.6   Validation of the Finite-Element Model ...................................
         7.7   References  ............................................................................................................................................   106
        Chapter 8  On-bottom  Stability                                      I09

         8.1   General .................................................................................................................................................  109
         8.2   Force Balance: The Simplified Method ...............................................................................................   110
         8.3   Acceptance Criteria  ...............................................................   ..........................................................   110
           8.3.1   Allowable Lateral Displacement .................................................................................................   110
           8.3.2   Limit-state Strength Criteria ..................  ..................................................................................   110
         8.4   Special Purpose Program for Stability Analysis ..................................................................................   111
           8.4. I   General .........................................................................................................................................   111
           8.4.2   PONDUS  ......................................................................................................................................   111
           8.4.3   PIPE .............................................................................................................................................   113
         8.5   Use of FE Analysis for I   ntion Design .............................
           8.5.1   Design Procedure ..   .............................................................................................................  114
           8.5.2   Seabed Intervention ............................................................................................
           8.5.3   Effect of Seabed Intervention .......................................................................................................   115
         8.6   References ................................................................................................................................
        Chapter 9  Vortex-induced Vibrations (WV) and Fatigue                 117
         9 .I                        ......................................................................................................   117
         9.2                         ..........................................
           9.2.1                     ..........................................
           9.2.2                     .......................................................
           9.2.3   Soil Stiffness Analysis ..................................................................
           9.2.4   Vibration Amplitude and Stress Range Analysis .........................................................................  124
                                 ................................................................................................................  124
                                                                   ..........................   124




           9.4.2   Cross-flow VIV in Combined Wave and Current ........................................................................   128
         9.5   Modal Analysis ................   ......................   ..................   .........   . 129
           9.5.1   Introduction  ..................................................................................................................................  129
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