Development of Defect Assessment Methods for Pipelines – Part 1 Integrity Group Lunch and Learn Tom Bubenik July 19, 2007
Outline
Corrosion Defects – Types and Characteristics
Analysis Methods for Corrosion
Analysis Methods for Cracks (Part 1)
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01 August 2007
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Corrosion Defects – Types and Characteristics
External Metal Loss (Corrosion)
Groove or Narrow Axially Aligned Corrosion Preferential Corrosion
Complex areas of Interacting pits; general corrosion Isolated pitting Š Det Norske Veritas AS. All rights reserved
01 August 2007
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Corrosion Morphology
Observations in the field and the corrosion morphology often help characterize root cause of the corrosion.
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General Corrosion
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Covers large area
Edges generally smooth
Carbuncles or tubercles (knobby outward corrosion deposit)
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Pitting
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More localized than general corrosion but otherwise similar:
Edges generally smooth
Carbuncles or tubercles (knobby outward corrosion deposit)
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Pitting – DC Stray Current Corrosion
ECA Course - Section 3
Sharp-edged pitting attack
Sometimes has the appearance of chemical etching
January 21-22, 2004
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Pitting – AC Stray Current Corrosion
Pinhole
2-inch
Almost perfectly round
Smooth edges
Pimpled Pattern
Brown discoloration
1-inch January 21-22, 2004
ECA Course - Section 3
Slide 9
Microbiologically Induced Corrosion (MIC)
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Deep localized pits
Woody appearance (sometimes)
Pits within pits
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Narrow Axial External Corrosion
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Follows path of coating tent (external)
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Preferential or Selective Corrosion
Very localized
Follows weld bond line or heat affected zone
May or may not have adjacent corrosion in base metal
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“Tree Bark” Corrosion
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Occurs in “colonies” with varying widths and depths
Cracking sometimes exists
Cause and consequence not well understood (relative of SCC??)
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Other Metal Loss
Gouges and mechanically removed metal
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Other Metal Loss
Erosion
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Spiral Corrosion
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Carbon Dioxide Related
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Summary of Important Characteristics – Metal Loss Narrow Axially Aligned
Very Localized
Notch-like © Det Norske Veritas AS. All rights reserved
Complex Geometries 01 August 2007
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Analysis Methods for Corrosion
Most Metal Loss is Analyzed Using ASME B31G or RSTRENG „
Both are based on an analysis equation developed in the late 1960s and early 1970s - B31G was originally referenced in Appendix G of the B31 Code. - RSTRENG is an acronym for the Remaining Strength of Corroded Pipe - Prior to development, the approach was to the degrade pressure carrying capacity by the percent wall loss - The equation accounts for load shedding around shorter defects and it is semi-empirical (includes analytic expression that accounts for stress concentration due to bulging)
„
The same basic approach is accepted many places worldwide
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Circumferential Grooves: Girth weld corrosion
Crack-like anomalies
Corrosion Width
Applicability
B31G and RSTRENG Analyses General or Areal Corrosion
Wall Thinning
Pitting Includes MIC
Axial Grooves: Selective seam corrosion Holes
Axial Cracks: Crack-like anomalies
Corrosion Length 01 August 2007
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Slide 21
NG-18 Surface Flaw Equation
Failure Stress = where
Flow Stress
1-A/Ao 1-(A/Ao)/MT
A = Area removed by corrosion Ao = Original area, before corrosion MT = Folias or bulging factor = function of defect length, pipe diameter, and pipe thickness A = Area Removed Ao = Original Area = Metal-loss length*wall thickness
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Comments Failure Stress =
Flow Stress
1-A/Ao 1-(A/Ao)/MT
The equation is empirical (curve fit) and based (in part) on intuition - It’s not a derivation, and there is nothing sacred about the form
Limiting Cases: - For very short defects, MT approaches one. What happens? - For very long defects, MT approaches infinity. What happens?
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01 August 2007
Slide 23
Terms Failure Stress =
Flow Stress
1-A/Ao 1-(A/Ao)/MT
Flow Stress - This is an artificial concept that is meant to reflect the stress level at which pipe without a defect will fail. - Why is this not equal to the tensile strength?
Folias or Buckling Factor - Equals the ratio of the stress intensity factor for a crack in a flat plate to that of a crack in a cylinder. - Expressed as an infinite series – the number of terms used affects the accuracy. Originally, a 2-term expressions was used; later a 3-term expression was introduced. - What is the rationale for going from a 2-term expansion to a 3-term expansion?
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Simplifications (B31G) Failure Stress = 1.1 x SMYS
1-(2/3)(d/t) 1-(2/3)(d/t)/Mt
d = defect depth t = thickness Mt = 'Folias' factor = f(L, Diameter, t)
where
A = Area Removed Parabolic Approximation Same depth and length as before: Area removed = 2/3 * metal-loss length * maximum depth A/Ao = (2/3 * length * depth) / (length * thickness) = 2/3 (depth/thickness)
Original B31G Accuracy (Before 1.39 Safety Factor)
Failure/Predicted Failure Pressure
4 3.5 3 2.5 2 1.5 1 0.5 0 25
35 45 55 65 Specified Minimum Yield Strength (ksi)
75
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Modifications
Modifications were made because pipeline companies didn’t like excess conservatism. (This is the same reason the surface flaw equation and B31G were developed in the first place!)
Three types of modifications: - Flow stress - Bulging factor - Area approximations
01 August 2007
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Slide 27
Modified B31G and RSTRENG σ Failure
A ⎤ ⎡ ⎢ 1− A ⎥ o ⎥ =σ ⎢ A −1 ⎥ ⎢1 − M ⎢⎣ Ao ⎥⎦ Flow Stress
Folias Factor
Area
1.1 SMYS
2-term L2/Dt < 20
2/3 Ld Parabola
SMYS + 68.95Mpa SMYS + 10,000 psi
3-term
0.85 Ld
RSTRENG SMYS + 68.95Mpa Effective Area SMYS + 10,000 psi
3-term
Profile, Iterative Calculation
Method B31G
RSTRENG 85% Area
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Modified B31G or “RSTRENG85”
Failure Stress =(SMYS+10 ksi)
where
1-0.85 x (d/t) 1-0.85 x (d/t)/Mt
d = defect depth t = thickness Mt = 'Folias' factor = f(L, Diameter, t) A = Area Removed
Quasi Flat-Bottom Approximation
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Modified B31G
The only modification that significantly affects the failure pressure predictions is flow stress:
Failure/Predicted Failure Pressure
- Where does the change from [1.1 x SMYS] to [SMYS + 10 ksi] have the biggest effect? 4 - Hint: 3.5 3 2.5 2 1.5 1 0.5 0 25
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35 45 55 65 Specified Minimum Yield Strength (ksi)
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75
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Modified B31G
Failure/Predicted Failure Pressure
- Why was the area changed from [2/3 x L x d] to [0.85 x L x d]? - Hint: 4 3.5 3 2.5 2 1.5 1 0.5 0 25
35 45 55 65 Specified Minimum Yield Strength (ksi)
75
- Changing to a 3-term expansion does nothing to the accuracy.
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01 August 2007
Slide 31
RSTRENG and Effective Areas
Using an “Effective Area” ensures the area used in the original surfaceflaw equation better reflects the true geometry.
RSTRENG, a frequently modified software package, was developed to simplify the effective area calculations
The predictions work well but require information on the profile of a defect
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Axial Length, inch 0
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Depth, mils
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250 01 August 2007
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Axial Length, inch 0
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Depth, mils
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Effective Length Effective Length is 7 inches (from 6” to 13”)
250 © Det Norske Veritas AS. All rights reserved
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24-inch x 0.375-inch, API 5L X52 2500
Predicted Failure Pressure, psig
2000
1500
Minimum Predicted Failure Pressure 1000
Results from 190 Iterative Calculations performed on 20-inch long flaw 500
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Axial Start Location 01 August 2007
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Effective Area Accuracy (before 1.39 safety factor) 3500
Predicted Failure Pressure (psi)
3000
Actual Corrosion Machined Defect Service/Hydro Failure
2500 2000
1500 1000 500
500
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2500
3000
3500
Actual Failure Pressure (psi)
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Comments on B31G And RSTRENG
Each assumes failure by ductile deformation and cannot be used in low toughness regions (e.g., welds) or for cracks or crack-like
Each assumes failure due to pressure overload and cannot be used where axial loads are high
They are also not appropriate for defects with large circumferential extents
They are sometimes unconservative for short deep defects that fail by leaking (and B31G cannot be used for defects greater than 60 to 80 percent deep)
They do not consider multiple or spiral defects
Analysis Methods for Cracks Part 1 (and low toughness materials)
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Fundamentals of Fracture
Brittle fracture - No plastic deformation
Moderately ductile fracture with necking - Sometimes called a cup-and -cone fracture - Most common form of ductile fracture - Moderate plastic deformation
Highly ductile fracture - Large amounts of plastic deformation
All three can occur in pipelines © Det Norske Veritas AS. All rights reserved
01 August 2007
Slide 39
Fracture Mechanics 101
(Infinitesimal) crack growth releases some of the strain energy stored in a sample (i.e., it allows the body to relax).
For linearly elastic materials where no yielding occurs, the strain energy release rate is defined as G. You can calculate G.
The strain energy release rate at which fracture occurs is defined as GIC. This is the energy required to create new fracture surfaces. GIC is measured, not calculated. - For brittle materials, GIC is invariant and does not vary with temperature.
F
F
F
F
We rarely use G or GIC in our analyses.
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01 August 2007
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Fracture Mechanics 101
For steels, the situation is more complicated because the material permanently deforms (plastically strains) while new fracture surfaces are created.
Linearly elastic fracture mechanics is based on “K”, which is a measure of the stress intensity at the crack tip.
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01 August 2007
Slide 41
Fracture Mechanics 101
The elastic stress field in an infinite plate is
Crack Tip Stresses 2
Elastic stresses
where “r” is the distance from the crack tip and “K”, the stress intensity factor, is defined as K ≡ σapplied √ (π a) where σapplied is the applied stress and “a” is half the crack length.
S tress/Y ield S tress
σ = K ÷ √ (2 π r) 1.5
1
0.5
0 0
0.5
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1.5
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2.5
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Distance (1=crack tip)
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01 August 2007
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Fracture Mechanics 101
The stress intensity factor at which fracture occurs is defined as KIC . - KIC accounts for limited yielding and the creation of new crack surfaces. It depends on temperature and specimen geometry. - KIC is measured, not calculated.
K and KIC is used heavily in our analyses. In particular, we use K in fatigue analyses where crack growth is a function of the change in K:
da m = C × (ΔK ) dN where C and m are the “Paris Law” constant and exponent, respectively.
We often use KIC in estimating critical flaw depths.
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Slide 43
Fracture Mechanics 101
Steel, especially modern steels, have high toughness and fail in a true elastic-plastic mode with larger scale yielding.
For these materials, we use what’s called a J-integral to evaluate toughness. This integral is the strain energy release rate for a nonlinearly elastic material, and it reflects conditions that occur around the crack tip as a crack grows. While it is based on elastic behavior, it works well for most materials up to and including those that fail in a fully plastic mode.
The J-integral when crack growth begins is defined as JIC.
We use J and JIC for determining critical flaw sizes in CorLas.
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Summary Point
Fracture mechanics generally deals with materials that fail before reaching fully plastic (limit load) conditions. It is based on the energy used up in the vicinity of a crack tip as the crack grows.
We primarily use K, KIC, J, and JIC in our analyses. - K and KIC are for fatigue analyses for materials that have limited yielding before failure. - J and JIC are used for determining critical flaw sizes. We sometimes use KIC to estimate critical flaw sizes when there is limited yielding.
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01 August 2007
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Stopping Point
The next lecture will cover how analysis methods take into account different forms of K, J, KIC and JIC for pipeline materials.
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