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Faculty of Science and Technology

MASTER’S THESIS

Study program/Specialization:

Offshore Technology/

Subsea and Marine Technology.

Spring semester, 2017 Restricted access

Writer:

Akinsanya Akinyemi Olugbenga ………

(Writer’s signature) Faculty supervisor:

Prof. Ljiljana Djapic Oosterkamp (University of Stavanger, Statoil AS, Stavanger Norway) External supervisor(s):

Per Richard Nystrøm (Technical Director/Chief engineer, IKM Ocean Design Stavanger, Norway) Thesis title:

Experimental and Numerical Analysis of Pipeline Rotation with Residual Curvature during Installation

(CONFIDENTIAL) Credits (ECTS): 30

Key words:

Pipelaying, S-lay installation, Subsea Pipelines, Pipeline Rotation, Residual curvature, Nominal curvature, Analytical Pipe rotation, Pipeline Installation experimentation. Free Span, Uneven Seabed,

Pages: 117 + Appendix /enclosure: 33/ 1 CD

Stavanger, June /2017

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Copyright Statement

This thesis has a restricted access for 2 years after submission.

It is also understood that Copying or using any information provided in this thesis without the approval of Author and Supervisors is not permitted.

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AKINSANYA A.O., 2017 Page II

ACKNOWLEDGEMENT

The thesis research is performed and submitted in partial fulfillment of the requirement for the award of Master of Science Degree studies in offshore technology (subsea and marine technology specialization) at the University of Stavanger and it is prepared from January 2017 to June 2017. This thesis work was performed in collaboration IKM Ocean Design AS, Stavanger, Norway.

First and foremost, I expressed my immerse gratitude and appreciation to my Faculty Thesis Supervisor Professor Ljiljana Djapic Oosterkamp, who initiated this thesis research effort at the university of Stavanger and offered invaluable support, encouragements and useful suggestions throughout the duration of this research work, despite her busy schedules. Also my special thanks also goes to my external supervisor Per Richard Nystrøm of IKM Ocean Design, Stavanger, for his intellectual suggestions, criticism, advise and for sharing from his wealth of experience on various technical subjects relating to the scopes of this thesis and for given me the opportunity to be part of the IKM family. My profound gratitude also goes to the laboratory manager John Grønli, who made available the fund for the experimental test and for his unwavering support throughout the duration of the experiments.

My heartfelt gratitude and unconditional love go to my ever-loving wife Okumodi Atinuke Akinsanya for her unparallel supports in all ramifications, care, motivation and extreme understanding with which my postgraduate studies in Norway was made possible. And to my daughter Moriyanuoluwa Shiloh Akinsanya thank you for your endurance and patient while I was away in Norway. Special thanks go to my mother (-in law) Alhaja Okumodi for her unwavering prayers and motivations for me and my household, I appreciate your efforts and the confidence you had in me. My acknowledgement will not be complete without appreciating the efforts and prayers of my siblings and in-laws, who when I think of, remind me of a greater responsibility to shun play and embrace hard-work and seriousness and to all my friends, who contributed to the success of my study in one way or the other.

Above all, my deepest appreciation goes to the Almighty God, the author of wisdom and knowledge, for His steadfast love, mercy, grace and protection and for fulfillment of His promises, that sustained me throughout the duration of this postgraduate studies.

Akinyemi Olugbenga Akinsanya

Stavanger, June 2017

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AKINSANYA A.O., 2017 Page III

ABSTRACT

In the oil and gas industry, subsea pipeline plays a very important role in the transportation of the crude oil between subsea production system (SPS) components and from seabed to the offshore platform/facility, or from an offshore field to an onshore facility for processing, thus serving as in-field line and trunk line (export and import transportation line) respectively. Hence its design, fabrication and installation are very vital to the successful operation of any subsea infrastructure. In the past, detail assessment of pipeline installation methods and design has been performed and documented in several literatures. However, following the decline in the price of oil and gas and the inclination of the exploitation of oil and gas production towards deep and deeper water, it becomes imperative to re- evaluate all aspects that made up of subsea field development in terms of design, construction and operation, in order to reduce the overall project cost, while meeting all the technical challenges associated with subsea field development in deep water.

In lieu of this, for pipeline, being a critical aspect of subsea development project, additional engineering effort is required to minimize the cost of pipeline installation, since its material and installation together can make up to 85% of the total pipeline budget (Bai et al. 1999). To achieve this, focus is given to the utilization of pipeline rotation during installation via optimization of the use of pipeline residual curvature, in meeting the technical challenges associated with pipeline free span and in minimizing the cost that comes with mitigations via material dumping and other span supports as well as understanding pipeline rotation phenomenon in the case of inline structure installation such as Tees, Wyes, Connectors, thus saving operation time and reducing the cost of pipeline intervention on the seabed.

This Thesis work, concentrate on the validation of the numerical analysis of estimating pipeline rotation during S-lay, using an experimental test on pipeline rotation, based on this, parametric studies are carried out. Also an experimental test is performed to determine the value of residual strain and curvature length required to induce a pipeline rotation of above 90degree. Additional experimental test is performed to establish the operational principle of conforming pipeline to uneven seabed using residual curvature, this is considered relevant as residual curvature can be adopted in solving the technical challenges that come with installation of pipeline by S-lay method on uneven seabed, since such pipeline are subjected to bending moments, vortex induced vibration (VIV) and so on, as a result of free span.

To meet the objective of this study, both experimental and numerical approaches were adopted. First, experimental tests were performed using an already existing model test set-up components of a real-life scenario is adopted, this set-up components comprises of all the important installation vessel parameters that are used in real life S-lay installation operation of pipeline. These components include the model stinger and associated rollers, the top tension system, bottom horizontal tension system and model pipe of 10mm for simulating the S-shape and nominal curvature. In addition to the existing component, wooden stands, with seabed features, are constructed and used to simulate the uneven seabed. The experimental test is performed by introducing several pre-bends of different residual strains and curvature length on the model pipeline for the cases of rotation test and free-span test. The pipe paying out operation was simulated by pulling the model pipeline at the bottom while measuring the angle of rotation and the horizontal force for the rotation test and change in span between the contact point and the depth from seabed to mid span for the case of free-span. Also, the free span test includes simulation of additional measures such as introduction of local weights and their effect in the suppressing pipeline free span.

Afterward numerical analyses were performed to quantify the pipeline rotation, using commercial finite

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AKINSANYA A.O., 2017 Page IV

element software, ORCAFLEX. In the numerical analysis, a beam model of the pipeline is built in the software using the same properties of the model test rig (listed subsequently in the thesis work), the pipe properties, inline structure and boundary conditions (BC). Then parametric studies are performed by varying several parameters, such as pre-define residual curvatures length and plastic strain, which affect the value of the rotation, with major focus on the rotation phenomenon at the touch down point (TDP).

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AKINSANYA A.O., 2017 Page V

ACKNOWLEDGEMENT ... II  ABSTRACT ... III  LIST OF FIGURES ... VIII  LIST OF TABLES ... XII  ABBREVIATIONS ... XIII  ALPHABETIC SYMBOLS... XIV  GREEK SYMBOLS ... XV 

1.  INTRODUCTION ... 1 

1.1  BACKGROUND STUDY AND MOTIVATION ... 1 

1.2  STUDY OBJECTIVES ... 4 

1.3  STUDY SCOPE ... 4 

1.4  OUTLINE OF THESIS ... 4 

2.  OVERVIEW OF OFFSHORE PIPELINE INSTALLATION ... 6 

2.1  HISTORY OF PIPELAYING ... 7 

2.2  PIPELINE INSTALLATION METHODS ... 7 

2.2.1  S-LAY METHOD ... 8 

2.2.2  J-LAY METHOD ... 10 

2.2.3  REEL LAY METHOD ... 12 

2.2.4  TOW METHOD ... 14 

2.3  PIPELINE LOADS DURING INSTALLATION ... 14 

2.3.1  PIPELAY TENSION ... 15 

2.3.2  PIPELINE INSTALLATION LOADS ... 16 

2.4  PIPELINE CONFIGURATION AND BENDING STRESS ... 16 

2.4.1  CURVATURE IN OVER-BEND ... 17 

2.4.2  CURVATURE IN SAG BEND ... 18 

2.4.3  BENDING STRESS IN PIPELINE ... 19 

2.5  PIPELINE INSTALLATION CHALLENGES ... 24 

2.6  PIPELINE ON UNEVEN SEABED ... 24 

3.  INTRODUCTION TO PIPELINE RESIDUAL CURVATURE AND ROTATION ... 25 

3.1  RESIDUAL CURVATURE DURING INSTALLATION OF PIPELINE ... 26 

3.1.1  ESTIMATION OF RESIDUAL CURVATURE ... 27 

3.1.2  BENEFITS OF RESIDUAL CURVATURE IN PIPELINE TECHNOLOGY ... 27 

3.2  PIPELINE ROTATIONS DURING S-LAY INSTALLATION ... 28 

3.3  METHODS OF ESTIMATING OFFSHORE PIPELINE ROTATION ... 29 

3.3.1  ANALYTICAL METHOD ... 29 

3.3.2  NUMERICAL METHOD ... 34 

3.4  PIPELINE ON UNEVEN SEABED TOPOGRAPHY ... 37 

3.4.1  PIPELINE FREE SPAN ... 37 

3.4.2  CONFORMING PIPELINE TO SEABED TOPOGRAPHY ... 38 

3.4.3  BENEFIT OF CONFORMING PIPELINE TO SEABED TOPOGRAPHY ... 40 

4.  METHODOLOGY ... 41 

4.1  EXPERIMENTAL SET-UP ... 41 

4.1.1  PIPE MATERIAL AND GEOMETRIC PROPERTIES ... 43 

4.1.2  POOL ... 45 

4.1.3  MODEL STINGER ... 45 

4.1.4  MODEL STINGER ROLLER ... 46 

4.1.5  TENSIONING SYSTEM ... 46 

4.1.6  PIPE PRE-BEND ... 47 

4.1.7  INLINE STRUCTURE ... 49 

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AKINSANYA A.O., 2017 Page VI

4.1.8  PIPELINE END SUPPORT CONDITIONS ... 50 

4.1.9  UNEVEN SEABED ... 53 

4.1.10  FORCE MEASURING DEVICE ... 54 

4.2  NUMERICAL ... 55 

4.2.1  ORCAFLEXDESCRIPTION ... 56 

4.2.2  MODELLING ... 57 

4.2.3  DESIGN BASIS ... 60 

4.2.4  BOUNDARY CONDITIONS ... 60 

4.2.5  NUMERICAL ANALYSIS DESCRIPTION ... 61 

5.  SCALING ... 62 

6.  EXPERIMENTAL AND NUMERICAL TEST RESULTS ... 64 

6.1  EXPERIMENTALPROCEDURE/TEST ... 64 

6.2  PIPELINEMODELCATENARYSHAPE ... 64 

6.3  PIPEROTATIONEXPERIMENTALTESTRESULTS ... 65 

6.3.1  FIXED BOTTOM CONDITIONS ... 66 

6.3.1.1  Rotation with 2 meter Residual Curvature Length ... 66 

6.3.1.2  Rotation with 3 meters Residual Curvature Length ... 67 

6.3.1.3  Rotation with Inline Structure ... 69 

6.3.2  ONE SPRING BOTTOM CONDITIONS ... 70 

6.3.2.1  Rotation with 2 meters Residual Curvature Length ... 70 

6.3.2.2  Rotation with 3 meters Residual Curvature Length ... 72 

6.3.3  TWO SPRING BOTTOM CONDITIONS ... 75 

6.3.3.1  Rotation with 2 meters Residual Curvature Length ... 75 

6.3.3.2  Rotation with 3 meters Residual Curvature Length ... 77 

6.4  UNEVENSEABEDEXPERIMENTALTESTRESULTS ... 80 

6.4.1  FREE SPAN WITH 1 METER RESIDUAL CURVATURE ... 80 

6.4.2  FREE SPAN WITH 2 METERS RESIDUAL CURVATURE ... 81 

6.5  NUMERICALANALYSISRESULTS ... 82 

6.5.1  CASE 1–2M RESIDUAL CURVATURE LENGTH ... 84 

6.5.2  CASE 1–3M RESIDUAL CURVATURE LENGTH ... 88 

7.  DISCUSSION AND COMPARISON OF RESULT ... 91 

7.1  EXPERIMENTALRESULTS ... 91 

7.1.1  BOUNDARY CONDITIONS ... 91 

7.1.2  RESIDUAL STRAIN LEVEL ... 94 

7.1.3  RESIDUAL CURVATURE LENGTH ... 97 

7.1.4  TORQUE EFFECT ... 99 

7.1.5  UNEVEN SEABED TOPOGRAPHY ...101 

7.1.5.1  Effect of Depth ...101 

7.1.5.2  Effect on Span Length ...104 

7.2  NUMERICALRESULTSDISCUSSION ...105 

7.2.1  EFFECT OF BOUNDARY CONDITIONS ...105 

7.2.2  EFFECT OF RESIDUAL STRAIN AND CURVATURE LENGTH ...106 

7.3  COMPARISONOFRESULTS ...107 

8.  SOURCES OF ERRORS AND UNCERTAINTIES ... 109 

9.  CONCLUSION AND RECOMMENDATION ... 111 

9.1  CONCLUSION ...111 

9.2  RECOMMENDATION ...113 

REFERENCES ... 115 

APPENDIX I – SPRING STIFFNESS CALCULATION ... 118 

APPENDIX II – MODEL PIPE ELASTIC AND YIELD PROPERTIES ... 119 

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AKINSANYA A.O., 2017 Page VII

APPENDIX IV – EXPERIMENTAL TEST CATENARY CALCULATION ... 123  APPENDIX V – NUMERICAL MODEL SIMULATION RESULTS ... 125  APPENDIX VI – FREE-SPAN EXPERIMENTS ... 149  APPENDIX VII – NUMERICAL ANALYSIS OF ROTATION WITH BOTH END OF

PIPELINE FIXED ... 150 

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AKINSANYA A.O., 2017 Page VIII

LIST OF FIGURES

F

IGURE

1-1; U

SE OF

O

FFSHORE

P

IPELINE

(B

OYUN ET AL

., 2005) ... 1

 

F

IGURE

1-2; O

FFSHORE

P

IPELINE

I

NSTALLATION ON AN

U

NEVEN

S

EABED

(B

OYUN ET AL

., 2005) ... 3

 

F

IGURE

2-1: P

HASES OF

P

IPELINE

D

EVELOPMENT

P

ROJECT

... 6

 

F

IGURE

2-2: P

HASES OF

P

IPELINE

D

EVELOPMENT

P

ROJECT

... 8

 

F

IGURE

2-3: S-

LAY

C

ONFIGURATION

(B

AI

Y., 2001) ... 9

 

F

IGURE

2-4: S-

LAY INSTALLATION

V

ESSEL

(C

OURTESY OF

A

LLSEAS

G

ROUP

) ... 10

 

F

IGURE

2-5: J-

LAY

C

ONFIGURATION AND

L

OADING

(K

YRIAKIDES AND

C

ORONA

, 2007) ... 11

 

F

IGURE

2-6: J-

LAY INSTALLATION

V

ESSEL

(C

OURTESY OF

S

UBSEA

7) ... 12

 

F

IGURE

2-7: R

EELING INSTALLATION

C

ONFIGURATION

(K

YRIAKIDES

& C

ORONA

, 2007) ... 13

 

F

IGURE

2-8: R

EEL

L

AY INSTALLATION

V

ESSEL

(D

ENNIEL

, 2009) ... 13

 

F

IGURE

2-9: T

YPES OF

T

OW

M

ETHOD OF

P

IPE LAY

... 14

 

F

IGURE

2-10: T

OW INSTALLATION

- P

IPELINE READY TO BE TOWED

(C

OURTESY OF

S

UBSEA

7) ... 14

 

F

IGURE

2-11: P

IPELINE

S-

LAY

E

QUILIBRIUM

C

ONFIGURATION

... 16

 

F

IGURE

2-12; L

OADS ON THE EQUILIBRIUM CONFIGURATION FOR

S–L

AY PIPE

(G

ULLIK

A

NTHON

J., 2010) ... 17

 

F

IGURE

2-13: P

IPELINE AND

M

OMENT

D

ISTRIBUTION OVER

S

TINGER

(B

AI

Y., 2001) ... 18

 

F

IGURE

2-14: P

IPELINE AND

M

OMENT

D

ISTRIBUTION OVER

S

TINGER

(B

AI

Y., 2001) ... 19

 

F

IGURE

2-15: M

ETHODS OF

P

IPELINE

S

HAPE

A

PPROXIMATION

... 20

 

F

IGURE

2-16: P

IPELINE

G

EOMETRY DURING

I

NSTALLATION

... 20

 

F

IGURE

2-17: E

QUILIBRIUM

F

ORCES ON THE

C

ATER

(G

ULLIK

A

NTHON

J., 2010) ... 22

 

F

IGURE

2-18: F

REE

S

PANNING ON

U

NEVEN

S

EABED

... 24

 

F

IGURE

3-1: S

TRESS

-S

TAIN

C

URVE FOR

S

TEEL

M

ATERIAL

... 26

 

F

IGURE

3-2: M

ETHODS OF

E

STIMATING

P

IPELINE

R

OTATION

... 29

 

F

IGURE

3-3: S

IMPLIFIED

E

NERGY

A

PPROACH FOR

S-

LAY INSTALLATION

,

FROM

(E

NDAL

,

ET AL

., 1995) .... 30

 

F

IGURE

3-4: M

ODIFIED ANALYTICAL APPROACH FOR PIPELINE ROLL PREDICTION

,

FROM

(E

NDAL

,

ET AL

., 2014) ... 33

 

F

IGURE

3-5: N

UMERICAL

A

PPROACHES OF

E

STIMATING

P

IPELINE

R

OTATION

... 34

 

F

IGURE

3-6: 3D F

INITE

E

LEMENT

A

NALYSIS

I

NPUT

... 35

 

F

IGURE

3-7: 3D F

INITE

E

LEMENT

6 D

EGREE OF

F

REEDOM

... 35

 

F

IGURE

3-8: 2D P

IPE

E

LEMENT WITH

M

OMENT

L

OAD

E

FFECTS

(E

NDAL

,

ET AL

., 1995) ... 36

 

F

IGURE

3-9: L

OADS ON

F

REE

S

PAN

P

IPELINE

(K

ARUNAKARAN

, 2015) ... 38

 

F

IGURE

3-10: P

IPELINE

F

REE

S

PAN

M

ITIGATION

M

EASURES

(K

ARUNAKARAN

, 2015) ... 38

 

F

IGURE

3-11: M

ETHODS OF

S

UPPRESSING

P

IPELINE FREE SPAN BY

R

ESIDUAL

C

URVATURE

(E

NDAL

,

ET AL

., 2015) ... 39

 

F

IGURE

3-12: M

ETHODS OF

S

UPPRESSING

P

IPELINE FREE SPAN BY ADDING

C

URVATURE

(E

NDAL

,

ET AL

., 2015) ... 39

 

F

IGURE

4-1: P

IPELINE

F

REE

S

PAN

T

EST

... 42

 

F

IGURE

4-2: I

N

-

STRUCTURE

T

EST

... 42

 

F

IGURE

4-3: 300

MM LENGTH OF THE OLD AND

N

EW

P

IPE

P

IECES

... 44

 

F

IGURE

4-4: U

NIAXIAL

T

ENSILE

T

ESTING OF THE

P

IPE

P

IECES

... 44

 

F

IGURE

4-5: S

TRESS

-S

TRAIN CURVE OF THE MODEL

P

IPE AS OBTAINED FROM THE

U

NIAXIAL

T

ENSILE

T

ESTING

... 44

 

F

IGURE

4-6: P

IPE

C

ONNECTION WITH

8

MM

D

IAMETER

P

IPE

I

NSERTED

... 45

 

F

IGURE

4-7: G

RIDDED

P

OOL

W

ALL

... 45

 

F

IGURE

4-8: M

ODEL

S

TINGER LYING ON THE FLOOR OF THE LABORATORY

(K

ASHIF

, 2016) ... 46

 

F

IGURE

4-9: R

OLLERS

P

LACED ON

S

TINGER AT

I

NTERVAL

... 46

 

F

IGURE

4-10: S

CHEMATICS OF THE

A

PPLIED

T

ENSIONED

S

YSTEM

... 47

 

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AKINSANYA A.O., 2017 Page IX

F

IGURE

4-11: A

PPLIED

T

ENSION

P

ULLEY

S

YSTEM ON

S

TINGER

... 47

 

F

IGURE

4-12: B

ENDING OF

S

TRAIGHT

P

IPE TO

C

ONFORM TO

R

ESIDUAL

C

URVE

... 48

 

F

IGURE

4-13: P

RE

-

BEND PIPES WITH

R

ESIDUAL

C

URVATURES

... 49

 

F

IGURE

4-14:

DIMENSION OF THE WOODEN INLINE FRAME

... 49

 

F

IGURE

4-15: I

NLINE

S

TRUCTURE

C

ONNECTED TO THE

P

IPELINE

... 50

 

F

IGURE

4-16: P

IPELINE

E

ND ON

S

TINGER

C

ONNECTED TO

P

ULLEY

S

YSTEM VIA

S

TRING

... 50

 

F

IGURE

4-17: P

IPELINE

E

ND

N

AILED TO

W

OODEN

P

LATE

... 51

 

F

IGURE

4-18: (

A

) T

ORSIONAL

R

ESTRAINT DEVICE

, (

B

) 2-

SPRINGS SYSTEM AND

(

C

) 1-

SPRING

S

YSTEM

... 52

 

F

IGURE

4-19: D

ISPLACEMENT

T

EST OF

T

ENSION

S

PRING

... 53

 

F

IGURE

4-20: F

ORCE

-E

XTENSION

C

URVES OF

S

AMPLE

S

PRINGS

... 53

 

F

IGURE

4-21: S

CHEMATICS OF THE

U

NEVEN

S

EABED

... 54

 

F

IGURE

4-22: U

NEVEN

S

EABED

... 54

 

F

IGURE

4-23: L

OAD

C

ELL

F

IRMLY

S

ECURED

... 55

 

F

IGURE

4-24: (

A

) L

OAD

C

ELL

, (

B

) S

PIDER

8

AND

(

C

) R

EADING FROM

S

PIDER

8 ... 55

 

F

IGURE

4-25: O

RCAFLEX

C

OORDINATES

S

YSTSEM

(O

RCINA

, 2016) ... 57

 

F

IGURE

4-26: 3D S-L

AY

P

IPE

L

AYING

C

ATENARY IN

ORCAFLEX ... 58

 

F

IGURE

4-27: S-L

AY

P

IPE

L

AYING

C

ATENARY IN

ORCAFLEX ... 58

 

F

IGURE

4-28: C

ATENARY

L

INE IN

E

LEVATIONS SHOWING THE

L

OCAL

C

OORDINATE AXES

(

A

)

Y

-

AXIS IN GREEN

(

B

)

X

-

AXIS IN RED

... 58

 

F

IGURE

4-29: C

ATENARY

L

INE IN

3D

SHOWING THE LOCAL AXES

,

X

-

AXIS IN RED AND Y

-

AXIS IN GREEN

... 59

 

F

IGURE

4-30:

PIPELINE

C

ATENARY WITH

P

RE

-

BEND SECTION

... 60

 

F

IGURE

5-1: S

CALING

R

ATIOS USED FOR

T

ESTING

O

FFSHORE

S

TRUCTURES

(NTNU, 2016) ... 63

 

F

IGURE

6-1: E

XPERIMENTAL

, N

UMERICAL AND

A

NALYTICAL

N

OMINAL

C

URVATURE

... 65

 

F

IGURE

6-2: 2

M

R

ESIDUAL

C

URVATURE

L

ENGTH OF

0.30% R.S

WITH

F

IXED

B

OTTOM

C

ONDITION

... 66

 

F

IGURE

6-3: 2

M

R

ESIDUAL

C

URVATURE

L

ENGTH OF

0.35% R.S

WITH

F

IXED

B

OTTOM

C

ONDITION

... 67

 

F

IGURE

6-4: 2

M

R

ESIDUAL

C

URVATURE

L

ENGTH OF

0.40% R.S

WITH

F

IXED

B

OTTOM

C

ONDITION

... 67

 

F

IGURE

6-5: 3

M

R

ESIDUAL

C

URVATURE

L

ENGTH OF

0.30% R.S

WITH

F

IXED

B

OTTOM

C

ONDITION

... 68

 

F

IGURE

6-6: 3

M

R

ESIDUAL

C

URVATURE

L

ENGTH OF

0.35% R.S

WITH

F

IXED

B

OTTOM

C

ONDITION

... 68

 

F

IGURE

6-7: 3

M

R

ESIDUAL

C

URVATURE

L

ENGTH OF

0.40% R.S

WITH

F

IXED

B

OTTOM

C

ONDITION

... 69

 

F

IGURE

6-8: P

IPE

R

OTATION WITH

I

NLINE

S

TRUCTURE AND

F

IXED

B

OTTOM

C

ONDITION

... 70

 

F

IGURE

6-9: P

IPE

R

OTATION WITH A

2

M OF

0.35% R

ESIDUAL

S

TRAIN AND

1-

SPRING

P

IPELINE

B

OTTOM

C

ONDITION

... 72

 

F

IGURE

6-10: P

IPE

R

OTATION WITH A

2

M

R.C

OF

0.40% R

ESIDUAL

S

TRAIN AND

1-

SPRING

P

IPELINE

B

OTTOM

C

ONDITION

... 72

 

F

IGURE

6-11: P

IPE

R

OTATION WITH A

3

M

R.C

OF

0.30% R

ESIDUAL

S

TRAIN AND

1-

SPRING

P

IPELINE

B

OTTOM

C

ONDITION

... 74

 

F

IGURE

6-12: P

IPE

R

OTATION WITH A

3

M

R.C

OF

0.35% R

ESIDUAL

S

TRAIN AND

1-

SPRING

P

IPELINE

B

OTTOM

C

ONDITION

... 74

 

F

IGURE

6-13: P

IPE

R

OTATION WITH A

3

M

R.C

OF

0.40% R

ESIDUAL

S

TRAIN AND

1-

SPRING

P

IPELINE

B

OTTOM

C

ONDITION

... 75

 

F

IGURE

6-14: P

IPE

R

OTATION WITH A

2

M

R.C

OF

0.35% R

ESIDUAL

S

TRAIN AND

2-

SPRING

P

IPELINE

B

OTTOM

C

ONDITION

... 77

 

F

IGURE

6-15: P

IPE

R

OTATION WITH A

2

M

R.C

OF

0.40% R

ESIDUAL

S

TRAIN AND

2-

SPRING

P

IPELINE

B

OTTOM

C

ONDITION

... 77

 

F

IGURE

6-16: P

IPE

R

OTATION WITH A

3

M

R.C

OF

0.30% R

ESIDUAL

S

TRAIN AND

2-

SPRING

P

IPELINE

B

OTTOM

C

ONDITION

... 79

 

F

IGURE

6-17: P

IPE

R

OTATION WITH A

3

M

R.C

OF

0.35% R

ESIDUAL

S

TRAIN AND

2-

SPRING

P

IPELINE

B

OTTOM

C

ONDITION

... 79

 

(11)

AKINSANYA A.O., 2017 Page X F

IGURE

6-18: P

IPE

R

OTATION WITH A

3

M

R.C

OF

0.40% R

ESIDUAL

S

TRAIN AND

2-

SPRING

P

IPELINE

B

OTTOM

C

ONDITION

... 80

 

F

IGURE

6-19: R

ESIDUAL

C

URVATURE IN

S

AG CONFIGURATION BEFORE

T

EST IS PERFORMED

... 82

 

F

IGURE

6-20: O

RCAFLEX

R

ESULT FOR THE

C

ATENARY

S

HAPE OF

Z

ERO

-

STRAIN

P

IPELINE

... 83

 

F

IGURE

6-21: O

RCAFLEX

R

ESULT FOR THE

C

ATENARY

S

HAPE OF

Z

ERO

-

STRAIN

P

IPELINE

... 83

 

F

IGURE

6-22: O

RCAFLEX

R

ESULT FOR THE

C

ATENARY

S

HAPE OF

Z

ERO

-

STRAIN

P

IPELINE

... 83

 

F

IGURE

6-23: O

RCAFLEX

R

ESULT FOR THE

T

WIST OF A

Z

ERO

-

STRAIN

P

IPELINE

... 84

 

F

IGURE

6-24: O

RCAFLEX

R

ESULT FOR THE

R

OTATION

A

NGLE OF A

Z

ERO

-

STRAIN

P

IPELINE

... 84

 

F

IGURE

6-25: R

OTATION

A

NGLE OF THE

C

ATENARY DUE TO

2

M

R.C.L

OF

0.30% R.S

WITH

F

IXED

BC .... 84

 

F

IGURE

6-26: R

OTATION

A

NGLE OF THE

C

ATENARY DUE TO

2

M

R.C.L

OF

0.35% R.S

WITH

F

IXED

BC .... 85

 

F

IGURE

6-27: R

OTATION

A

NGLE OF THE

C

ATENARY DUE TO

2

M

R.C.L

OF

0.40% R.S

WITH

F

IXED

BC .... 85

 

F

IGURE

6-28: R

OTATION

A

NGLE OF THE

C

ATENARY DUE TO

2

M

R.C.L

OF

0.30% R.S

WITH

1-

SPRING

BC85

 

F

IGURE

6-29: R

OTATION

A

NGLE OF THE

C

ATENARY DUE TO

2

M

R.C.L

OF

0.35% R.S

WITH

1-

SPRING

BC86

 

F

IGURE

6-30: R

OTATION

A

NGLE OF THE

C

ATENARY DUE TO

2

M

R.C.L

OF

0.40% R.S

WITH

1-

SPRING

BC86

 

F

IGURE

6-31: R

OTATION

A

NGLE OF THE

C

ATENARY DUE TO

2

M

R.C.L

OF

0.30% R.S

WITH

2-

SPRING

BC86

 

F

IGURE

6-32: R

OTATION

A

NGLE OF THE

C

ATENARY DUE TO

2

M

R.C.L

OF

0.35% R.S

WITH

2-

SPRING

BC87

 

F

IGURE

6-33: R

OTATION

A

NGLE OF THE

C

ATENARY DUE TO

2

M

R.C.L

OF

0.40% R.S

WITH

2-

SPRING

BC87

 

F

IGURE

6-34: R

OTATION

A

NGLE OF THE

C

ATENARY DUE TO

3

M

R.C.L

OF

0.30% R.S

WITH

F

IXED

BC .... 88

 

F

IGURE

6-35: R

OTATION

A

NGLE OF THE

C

ATENARY DUE TO

3

M

R.C.L

OF

0.35% R.S

WITH

F

IXED

BC .... 88

 

F

IGURE

6-36: R

OTATION

A

NGLE OF THE

C

ATENARY DUE TO

3

M

R.C.L

OF

0.40% R.S

WITH

F

IXED

BC .... 88

 

F

IGURE

6-37: R

OTATION

A

NGLE OF THE

C

ATENARY DUE TO

3

M

R.C.L

OF

0.30% R.S

WITH

1-S

PRING

BC ... 89

 

F

IGURE

6-38: R

OTATION

A

NGLE OF THE

C

ATENARY DUE TO

3

M

R.C.L

OF

0.35% R.S

WITH

1-S

PRING

BC ... 89

 

F

IGURE

6-39: R

OTATION

A

NGLE OF THE

C

ATENARY DUE TO

3

M

R.C.L

OF

0.40% R.S

WITH

1-S

PRING

BC ... 89

 

F

IGURE

6-40: R

OTATION

A

NGLE OF THE

C

ATENARY DUE TO

3

M

R.C.L

OF

0.30% R.S

WITH

2-S

PRING

BC ... 90

 

F

IGURE

6-41: R

OTATION

A

NGLE OF THE

C

ATENARY DUE TO

3

M

R.C.L

OF

0.35% R.S

WITH

2-S

PRING

BC ... 90

 

F

IGURE

7-1: I

NFLUENCE OF

BC

ON

R

OTATION

A

NGLE AT

TDP

OF

P

IPELINE WITH

2

M

R.C.L ... 93

 

F

IGURE

7-2: I

NFLUENCE OF

BC

ON

R

OTATION

A

NGLE AT

TDP

OF

P

IPELINE WITH

3

M

R.C.L ... 93

 

F

IGURE

7-3: I

NFLUENCE OF

BC

ON

R

OTATION

A

NGLE AT

TDP

OF

P

IPELINE WITH

0.35% R.S ... 94

 

F

IGURE

7-4: I

NFLUENCE OF

BC

ON

R

OTATION

A

NGLE AT

TDP

OF

P

IPELINE WITH

0.40% R.S ... 94

 

F

IGURE

7-5: I

NFLUENCE OF

R.S

ON

R

OTATION

A

NGLE AT

TDP

OF

P

IPELINE WITH

F

IXED

BC ... 96

 

F

IGURE

7-6: I

NFLUENCE OF

R.S

ON

R

OTATION

A

NGLE AT

TDP

OF

P

IPELINE WITH

1-S

PRING

BC ... 96

 

F

IGURE

7-7: I

NFLUENCE OF

R.S

ON

R

OTATION

A

NGLE AT

TDP

OF

P

IPELINE WITH

2-S

PRING

BC ... 97

 

F

IGURE

7-8: I

NFLUENCE OF

R.C.L

ON

R

OTATION

A

NGLE AT

TDP

OF

P

IPELINE WITH

F

IXED

BC ... 98

 

F

IGURE

7-9: I

NFLUENCE OF

R.C.L

ON

R

OTATION

A

NGLE AT

TDP

OF

P

IPELINE WITH

1-S

PRING

BC ... 98

 

F

IGURE

7-10: I

NFLUENCE OF

R.C.L

ON

R

OTATION

A

NGLE AT

TDP

OF

P

IPELINE WITH

2-S

PRING

BC ... 99

 

F

IGURE

7-11: E

FFECT OF

BC

S ON

T

ORQUE FOR THE

3

M

R.C.L

WITH VARYING

R

OTATION

... 100

 

F

IGURE

7-12: E

FFECT OF

BC

S ON

T

ORQUE FOR THE

3

M

R.C.L

WITH VARYING

R

ESIDUAL

S

TRAIN

... 100

 

F

IGURE

7-13: E

FFECT OF

(

A

) R.C.L (

B

) R.S

ON

T

ORQUE FOR THE

1-

SPRING

BC ... 101

 

F

IGURE

7-14: I

NFLUENCE OF

R.S

ONLY ON

D

EPTH

... 102

 

F

IGURE

7-15: I

NFLUENCE OF

R.S

AND

W

EIGHT

-1

ON

D

EPTH

... 103

 

F

IGURE

7-16: I

NFLUENCE OF

R.S

AND

W

EIGHT

-2

ON

D

EPTH

... 103

 

F

IGURE

7-17: I

NFLUENCE OF

R.S

ON

D

EPTH FOR

2

M

R.C.L

WITH VARYING

S

TRESS

C

ONDITIONS

... 103

 

F

IGURE

7-18: I

NFLUENCE OF

R.S

ON

D

EPTH FOR

1

M

R.C.L

WITH VARYING

S

TRESS

C

ONDITIONS

... 104

 

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AKINSANYA A.O., 2017 Page XI F

IGURE

7-19: I

NFLUENCE OF

R.S

ON

S

PAN

L

ENGTH WITH VARYING

R.C.L ... 104

 

F

IGURE

7-20: I

NFLUENCE OF

R.C.L

ON

S

PAN

L

ENGTH WITH VARYING

R.S ... 105

 

F

IGURE

7-21: I

NFLUENCE OF

BC

S ON

P

IPELINE

R

OTATION FOR

2

M

R.C.L

WITH VARYING

R.S

(N

UMERICAL

) ... 105

 

F

IGURE

7-22: I

NFLUENCE OF

BC

S ON

P

IPELINE

R

OTATION FOR

3

M

R.C.L

WITH VARYING

R.S ... 106

 

F

IGURE

7-23: I

NFLUENCE OF

R.S

ON

P

IPELINE

R

OTATION FOR

F

IXED

BC

WITH VARYING

R.C.L

(N

UMERICAL

) ... 106

 

F

IGURE

7-24: I

NFLUENCE OF

R.S

ON

P

IPELINE

R

OTATION FOR

1-

SPRING

BC

WITH VARYING

R.C.L

(N

UMERICAL

) ... 107

 

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