1 DESIGN OF HIGH PRESSURE/HIGH TEMPERATURE (HP/HT) PIPELINES AGAINST LATERAL BUCKLING USING VERTICAL UPSET METHOD A. Nikkhaah 1 , Dr. M. Baghernejad 1 , Shaifuzzaman B. Isa 2 , B. Baghernejad 1 , C. Y. Chun 2 ABSTRACT Design of HP/HT pipelines differs significantly from traditional pipeline design. In HP/HT pipelines, phenomena such as lateral buckling, low cycle fatigue, and ratcheting is accounted for in addition to addressing the traditional pipeline design requirements. In this paper lateral buckling of HP/HT pipelines is discussed by presenting a real case study, the gas pipeline between PC04 and B11 platforms in Malaysian waters. To accommodate thermal expansion of the pipeline and to overcome the available soil uncertainties, a design strategy using strain-based design was adopted; incorporating mitigation techniques such as a pipeline lay over vertical buckle triggers (sleepers). The pipeline is designed to buckle laterally on sleepers. Locations of the sleepers are selected with due consideration for total strain in the pipe wall, pipeline route, and uncertainties in design input data. INTRODUCTION In recent years, demand for high pressure/ temperature pipelines is increasing continuously. In parallel, some joint industry projects have been developed to address safe design of HP/HT pipelines. SLT-Engineering developed a simplified methodology based on requirements of DNV-OS- F101 code [1], using available published information [2 to 12]. Figure 1 shows the analysis methodology developed for lateral buckling analysis of the pipeline. 1 SLT-Engineering Sdn Bhd, Asia Pacific Region Office, Kuala Lumpur 2 Petronas Carigali Sdn Bhd, Kuala Lumpur
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1
DESIGN OF HIGH PRESSURE/HIGH TEMPERATURE (HP/HT) PIPELINES AGAINST
LATERAL BUCKLING USING VERTICAL UPSET METHOD
A. Nikkhaah1, Dr. M. Baghernejad1, Shaifuzzaman B. Isa2, B. Baghernejad1, C. Y. Chun2
ABSTRACT
Design of HP/HT pipelines differs significantly from traditional pipeline design. In
HP/HT pipelines, phenomena such as lateral buckling, low cycle fatigue, and
ratcheting is accounted for in addition to addressing the traditional pipeline design
requirements.
In this paper lateral buckling of HP/HT pipelines is discussed by presenting a real case
study, the gas pipeline between PC04 and B11 platforms in Malaysian waters.
To accommodate thermal expansion of the pipeline and to overcome the available soil
uncertainties, a design strategy using strain-based design was adopted; incorporating
mitigation techniques such as a pipeline lay over vertical buckle triggers (sleepers).
The pipeline is designed to buckle laterally on sleepers. Locations of the sleepers are
selected with due consideration for total strain in the pipe wall, pipeline route, and
uncertainties in design input data.
INTRODUCTION
In recent years, demand for high pressure/ temperature pipelines is increasing continuously.
In parallel, some joint industry projects have been developed to address safe design of
HP/HT pipelines.
SLT-Engineering developed a simplified methodology based on requirements of DNV-OS-
F101 code [1], using available published information [2 to 12]. Figure 1 shows the analysis
methodology developed for lateral buckling analysis of the pipeline.
1 SLT-Engineering Sdn Bhd, Asia Pacific Region Office, Kuala Lumpur 2 Petronas Carigali Sdn Bhd, Kuala Lumpur
2
. Figure 1: Design Methodology for Lateral Buckling Analysis.
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DESIGN REQUIREMENTS
The following design requirements are set for lateral buckling of the pipeline:
1. The buckling force (maximum pipeline axial force capacity) should be considered
equal to minimum of Hobbs mode infinity [2, 3] and out of straightness model.
2. Design feed-in-length (FIL) of each buckle shall be equal to maximum feed-in-
length into the buckle which will not cause pipeline failure under all limiting states.
3. The probability of maximum feed-in-length exceeding the design feed-in-length
shall be less than 10-4 [1].
LATERAL BUCKLING ANALYSIS METHODOLOGY
Pipe-Soil Interaction Model
The soil resistance against pipeline movement is divided into two main sections, breakout,
and residual sections. The lateral resistance model of soil is developed based on the model
and recommendations presented in OTC 17944 [10]. The initial embedment of pipeline is
calculated using Equation (1) [10].
2
45 ⎟⎟⎠
⎞⎜⎜⎝
⎛=
u
t
DSVS
Dz (1)
Where, z is the initial penetration of pipe, D the pipe outside diameter, St the soil sensitivity,
V vertical load on the pipeline inclusive of dynamic load during pipeline installation, and Su
the undrained shear strength at bottom of the pipe.
The lateral breakout and residual resistances of soil then may be calculated using Equations
(2) and (3), respectively [10].
Dz
DSv
DSH
uu
breakout
γ/32.0 += (2)
⎥⎥⎦
⎤
⎢⎢⎣
⎡⎟⎟⎠
⎞⎜⎜⎝
⎛−−−=
DS
vH Duresidual
γ1_
21exp165.01 (3)
Where, γ is the submerged soil unit weight, v the vertical load on pipe, and Su_1D the
undrained shear strength of soil at one pipe diameter below seabed.
The mobilization of breakout resistance is assumed within a pipe movement of less than
half of a diameter, while residual resistance occurs within 3 to 5 diameters [10].
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For axial resistance of the pipeline the soil model presented in OTC 6846 [20] is used.
According to this model maximum and residual axial resistance of soil may be calculated
using Equations (4) and (5), below.
ucbreakout SAH 05.1= (4)
ucresidual SAH 34.0= (5)
The mobilization of axial breakout resistance is within a pipe movement of less than 0.05 of
a pipe diameter, while residual resistance occurs at 1.2 times the diameter of pipe [20].
The uncertainty of the soil model is treated based on recommendations of OTC 17944 [10].
Screening Criteria for Buckling
Lower bound axial capacity of the pipeline to withstand against lateral buckling is
calculated using Equation (6).
S = min (SH∞, SOOS) (6)
Where,
( )( )
25.0
2
3
...
.29.2
⎟⎟
⎠
⎞
⎜⎜
⎝
⎛=∞
sLB
L
H
AEfIE
IES (7)
( )( )RFFWS DLOOS −−= μ (8)
Where, E is the elastic modulus of the pipeline material, W the submerged weight per unit
length of the pipeline, μ the lateral friction coefficient, I the pipeline moment of inertia, As
the pipeline cross section area, FD the drag force per unit length on the pipeline, FL the lift
force per unit length on the pipeline, and fLLB the lower bound lateral soil resistance.
The pipeline may buckle if maximum axial effective force in the pipeline is higher than
axial capacity of the pipeline.
Calculation of Design Limiting Criteria and Feed-In-Length
To calculate maximum allowable strain in the pipeline the following key failure modes
(except pressure containment and external pressure collapse that were fulfilled during early
stage of pipeline design) are considered:
1. Local buckling
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2. Fatigue
3. Weld fracture
Local Buckling
As most applied loadings on the pipeline are displacement-controlled, strain based design
criteria based on requirements of DNV-OS-F101 [1] is used for local buckling analysis of
the pipeline, considering the following assumptions [13].
1. Hoop component of stress and resultant strain are kept within the allowable limit
obtained from load controlled criteria
2. Environmental loads are applied to the buckle free span in the zones around the
buckle triggers. Effects of these loads on the resultant strain should be insignificant.
Fatigue
High pressure/ high temperature pipelines generally may be subjected to two main
categories of cyclic loadings, as follows:
1. Low cycle / high amplitude loading, mainly due to pipeline installation and startup-
shutdown of the line
2. High cycle / low amplitude loading, mainly due to environmental load and vortex
induced vibration
For low cycle fatigue analysis of the pipeline, the methodology presented in guidelines of
American Bureau of Shipping [15] may be used. According to this guideline, Equation (9)
may be used for assessment of the fatigue life of the welded structures when the plastic
strain range is significant.
002.0055.0 4.0 ≥Δ=Δ − εε forN (9)
002.0016.0 25.0 <Δ=Δ − εε forN
Where, Δε is the strain range in pipeline.
Investigations [13] show that at least a safety factor of 7.0 is included in Equation (9).
The high cycle fatigue analysis of the pipeline spans aside the buckle triggers is performed
in accordance with DNV-OS-F101 [1] and DNV-RP-C203 [14] under the assumption that
the weld line is in region with highest stress conditions.
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Fracture
Engineering critically assessment is performed based on BS 7910 [16] using
recommendations of DNV-OS-F101 [1]. Based on accuracy of available examination
methods, an undetectable circumferential crack with 25 mm length and 2.5 mm depth may
be considered for fracture analysis.
Design Feed-In-Length
Design feed-in-length of each section of the pipeline is calculated using virtual anchor
model by finite element method considering abovementioned limiting parameters.
Acceptability of Single Buckle in Non-Mitigated Pipeline
In some cases even in pipelines susceptible to lateral buckling, limit state parameters of the
buckled section may be acceptable. In order to assess the acceptability of a non-mitigated
pipeline a single buckle between two virtual anchor points on the pipeline shall be
considered, where the feed-in into the buckle is maximum. The buckle may be triggered by
initial lateral or vertical imperfection, or by trawling load.
Calculation of the Distance between Buckle Triggers
To calculate distance between buckle triggers the following approach may be followed:
1. Maximum allowable expansion of end sections of pipeline shall be calculated based
on expansion spool design capacity and lower bound axial soil resistance. The first
buckle trigger from each side of the pipeline shall be positioned to achieve
maximum allowable expansion at each end of the pipeline.
2. Buckle triggers are positioned in such a way to limit maximum feed-in into the
buckles below the design feed-in-length.
3. If the probability of buckle formation failure at a specific buckle trigger is more than
10-4, the consequences of formation of a buckle at vicinity of the buckle trigger shall
be evaluated.
Calculation of Buckle Formation Probability
In lateral buckling analysis of HP/HT pipelines the key uncertainty is buckle formation at
the expected sites. To calculate the buckle formation probability a simplified version of the
reliability model presented in Carr, et al [5] is used. According to this model, the probability
of buckling can be defined as:
7
]0y[Probabilit ≤= Zp f (10)
Where, Z is the limit state function describes the buckle formation, which is obtained by
recasting the buckling formation criteria. Equation (11) denotes the buckling limit state
function.
ExWRZ alat −−= ..μ (11)
Where, Rlat is lateral resistance against pipeline buckling, μa axial friction factor of soil, W
pipeline weight per unit length, x sleeper distance to the end of line or previous sleeper, and
E is axial force of the pipeline due to spool resistance or residual axial force in previous
buckle.
Acceptability of Mitigated Pipeline
After positioning the buckle triggers along the pipeline route, the mitigated pipeline is
analyzed to check whether the mitigation scheme works appropriately under pipeline heat
up and cool down transients. Under certain circumstances walking of the pipeline section
between two adjacent buckle trigger (towards the cold end of the pipeline) may increase
feed-in into the initiated buckle. This phenomenon cannot be captured by virtual anchor
spacing model; the whole pipeline shall be modeled for finite element analysis.
CASE STUDY
Design Parameters
Pipeline
The pipeline was constructed using 12” API 5L-X65 line pipe, as shown in Table 1. High
density concrete coating was used for achieving adequate stability for the pipeline, and its
effects on strength of the pipeline was ignored.
Design pressure, and temperature distribution along the pipeline were used for analysis.
Design pressure and maximum design temperature were 201.4 barg, and 120 oC,
respectively. Temperature profile along the pipeline, which was used for analysis, is
presented in Figure 2. This temperature profile was calculated based on 50% pipeline
seabed embedment.
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Table 1: Pipeline General Specifications.
KP Zone Length (km)
OD (mm)
WT (mm)
Corrosion Allowance (mm)
0.0 -0.5 Zone II (B11) 0.5 304.8 23.8 6 0.5 – 19.3 Zone I 18.0 304.8 19.5 6 19.3 – 21.8 Zone I 3.0 304.8 23.8 9 21.8 – 22.3 Zone II (PC04) 0.5 304.8 23.8 9
The design life of the pipelines was 6 years. Total number of startups and shutdowns during
lifetime of the pipeline was 24 cycles.
Physical and elastic mechanical properties of the pipeline steel were as given in Table 2.
Table 2: Pipeline Steel Properties.
Property Value
Density [kg/m3] 7850 Young’s Modulus [MPa] 207 x 103 Poisson’s Ratio 0.3 SMYS [MPa] 448 SMTS [MPa] 535 CTOD (Weld at Minimum Temperature) [mm] 0.2 [2]
For global buckling analysis and ratcheting analysis of the pipeline, isotropic strain
nonlinear hardening and simplified linear kinematics strain hardening behavior of X65 were
used, respectively. Figure 3 shows the isotropic and kinematics elastic-plastic models of
X65 at different temperatures.
Seabed profile used for analysis is presented in Figure 4.
0
20
40
60
80
100
120
0 5 10 15 20
KP
Tem
pera
ture
(C)
Figure 2: Temperature Distribution along the Pipeline Considering 50% Pipeline Embedment.