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Think Simulation! Adventures in Electrolytes
OLI Simulation Conference 2012
Corrosion Simulation
October 17, 2012
Scope
• Review of corrosion simulation models
• Progress in modeling general corrosion: Cu-Ni alloys
• Progress in modeling localized corrosion
• Progress in extreme value statistics
• Plans for future development
OLI corrosion
technology
Chemistry / corrosion
thermodynamics
Electrochemistry of metal –
solution interface
Fluid flow
effects
Probabilistic aspects of
propagation
Alloy microstructure
effects
AQ and MSE thermodynamic models
+ stability diagrams
General and localized corrosion
models
Cr / Mo grain boundary depletion
model
Extreme value
statistics
Single-phase flow and integration with multiphase flow
data
Reactive
transport /
propagation of
localized
phenomena
Standalone models
for crevice
corrosion, SCC,
corrosion fatigue
(not in CA)
Corrosion Simulation: Structure
Electrochemical model of general corrosion
• Synthesis of electrochemical phenomena using mixed-potential theory
• Generation of model polarization curves to simulate
• Partial electrochemical processes
Cathodic reactions – reduction of solution species
Anodic reactions - oxidation of metals
Effect of complexation
• Adsorption phenomena
• Passive dissolution and active-passive transition
• Effect of solution species on passive dissolution
• Effect of flow conditions on cathodic and anodic processes
Transport of reactive species to the interface
Transport of corrosion products away from the interface
Behavior of recently added alloys: Corrosion rate of Cu-Ni alloys
• Availability of oxygen controls corrosivity
• Rates are low but flow effects are substantial
• Thermodynamic analysis yields insights into corrosion behavior
0.000001
0.00001
0.0001
0.001
0.01
0.1
1
10
0.0
000
0.0
001
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002
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003
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004
0.0
005
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006
0.0
007
0.0
008
0.0
009
m O2
Co
rr. R
ate
(m
m/y
)
Efird and Anderson (1975) 279-302 K, pH 7.8-8.1, quiescent, 5-14
years
Efird and Anderson (1975) 279-302 K, pH 7.8-8.1, f low ing 0.6 m/s,
5-14 years
Efird and Anderson (1975) 279-302 K, pH 7.8-8.1, tidal, 5-14
years
Int. Nickel Co. 298 K, tidal 0.3 m/s
Mansfeld et al. (1994) 298 K, 30-90 days, aerated
Efird (1977) 298 K, pH 8, quiescent, 2 years
Efird (1977) 298 K, pH 8, f low ing 0.5 m/s, 2 years
Todd (1986) 298 K, f low ing 0-0.6 m/s
Todd (1986) 298 K, f low ing 30-40 m/s
Gudas and Hack (1979) 298 K, pH 8, f low ing 1.2-2.4 m/s, 15 days
Syrett and Macdonald (1979) 299 K, f low ing 1.62 m/s
Schleich (2004), static
Todd (1986) 378 K, f low ing 8 ft/s
Calc, 298K, static
Calc, 298K, pipe f low , 2 cm, 0.6 m/s
Calc, 298K, pipe f low , 2 cm, 1.6 m/s
CuNi9010 in seawater
Thermodynamic interpretation of
corrosion behavior of Cu-Ni alloys
Anodic behavior in the active state in a wide range of pH
Passivity is dominated by Cu oxides; Ni does not extend the passivity range in acidic solutions. However, presence of Ni influences the stability of passive film
Hydrogen reduction lies in the immunity zone: oxidants are necessary to cause corrosion
sea water
pH
CuNi9010 in seawater: corrosion potential
• Ecorr depends strongly on oxygen concentration
• As with corrosion rates, flow effects are substantial
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8
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9
m O2
Eco
rr, V
/ S
HE
Efird (1975) 279-302 K, pH 7.8-8.1, stirred
Efird (1975) 294 K, pH 10.1, stirred
Macdonald et al. (1978) 295 K, pH 8-8.4, f low ing
1.62 m/s, deoxygenated
Little and Mansfeld (1991) 298 K, static, aerated, 19
w eeks
Beccaria and Crousier (1989) 298 K, pH 8, unstirred
Efird (1975) 298 K, pH 4.5, stirred
Efird (1975) 298 K, pH 3-8.7, stirred
Effird (1977) 298 K, pH 8, f low ing 0.5 m/s, 2 months
Gudas and Hack (1979) 298 K, pH 8, f low ing 1.2-2.4
m/s, 2 months
Macdonald et al. (1978) 299 K, pH 7.9-8.1, 1.62 m/s
flow
Calc, 298K, static
Calc, 298K, pipe f low , 2 cm, 0.6 m/s
Calc, 298K, pipe f low , 2 cm, 1.6 m/s
Effect of dissolved oxygen: Polarization curve illustrates mechanism
• Oxygen is the dominant cathodic process
• O2 concentration increases corrosion rate and potential
• Effect of oxygen will plateau once passive current density limit is reached
10-6m O2
10-4m O2
static
CuNi9010 in seawater: corrosion rate as a function of flow rate
• Strong effect of flow at low dissolved oxygen
• Corrosion at conditions related to desalination
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0.01
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1.00
0 1 2 3 4 5 6
Flow rate (m/s)
Co
rr. R
ate
(m
m/y
)
Syrett and Wing (1980) 293-302 K, pH 8-8.22,
9-11 days, pipe 1.35cm diameter, 6.6 ppm O2,
9-11 days
Cohen and George (1974) 394 K, natural
treated, 0 ppm O2, 54 months
Cohen and Whitted (1971) 394 K, natural
treated, < 0.005 ppm O2, 697 days
Cohen and Rice (1970) 394 K, natural treated,
0.072 ppm O2, 90-170 days
Cohen and Rice (1970) 394 K, natural treated,
0.072 ppm O2, 365 days, butt w elded
Calc, 298 K, pipe 1.35 cm, 6.6 ppm O2
Calc, 394 K, pipe 1.905 cm, pH=7.4, 0.005 ppm
O2
Calc, 394 K, pipe 1.905 cm, pH=7.4, 0.072 ppm
O2
Effect of velocity: Interpretation using polarization curves
• Anodic current increases with flow velocity due to the Cl-mediated dissolution mechanism
• This increases corrosion rate and reduces corrosion potential
0 m/s
0.1 m/s
6 m/s
Effect of sulfides on CuNi9010
• Thermodynamic aspects
• Formation of sulfides at potentials much lower than Me/Me2+ potentials
• This has a profound effect on anodic dissolution
10-4 m H2S
CuNi7030 and CuNi9010 in seawater with sulfides
• Strong decrease of corrosion potential as a function of sulfides
• Data are scattered because multiple steady states are possible in the transition region
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0
0.1
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1.E-07 1.E-06 1.E-05 1.E-04 1.E-03 1.E-02
m S(-2)
V / S
HE
Syrett and Wing (1980) 293-297 K,
pH 8-8.22, 230 h, pipes, 1.35cm
diameter, 3-5 m/s, deaerated Macdonald et al. (1978) 295 K, pH 8-
8.4, flowing 1.62 m/s, 160-235 h,
deoxygenatedEiselstein et al. (1983) 296 K, pH
7.8-8.3, tubes 3 m/s, aerated, 16
daysEiselstein et al. (1983) 296 K, pH
7.8-8.3, tubes 3 m/s, 0.1-0.3 ppm
O2, 4 daysEiselstein et al. (1983) 296 K, pH
7.8-8.3, tubes 3 m/s, deaerated, 4
daysGudas and Hack (1979) 298 K, pH 8,
flowing 1.2-2.4 m/s, aerated, 1-60
days daysSyrett et al. (1979) 298 K, natural
seawater, 0.045-3.3 ppm O2,
aeratedCalc, pipe 1.35cm, 3 m/s, 0.05ppm
O2
Calc, pipe 1.35cm, 1.62 m/s,
0.05ppm O2
Calc, static, 0.2ppm O2
Calc, static, aerated
CuNi9010
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0.1
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1.E-06 1.E-05 1.E-04 1.E-03 1.E-02 1.E-01
V / S
HE
m S(-2)
Alhajji and Reda (1993b) 293 K,aerated, quiescent
Alhajji and Reda (1993b) 293 K,aerated, stirred
Alhajji and Reda (1993a) 293 K,aerated, quiescent
Alhajji and Reda (1993a) 293 K,aerated, stirred
Alhajji and Reda (1995) 293 K,deaerated, quiescent
Reda and Alhajji (1993) 293 K,aerated, quiescent
Alhajji and Reda (1994) 293 K,aerated, jet impingement
298 K, seawater, aerated, static
298 K, seawater, aerated, RDE1000 rpm
298 K, seawater, 0.1 ppm O2,static
CuNi7030
Effect of ammonia: CuNi7030 and CuNi9010
• Complexation of Cu with NH3 leads to enhanced anodic dissolution
• Role of dissolved O2 is important
• CuNi7030 is more resistant to ammonia corrosion
• Higher Ni content mitigates dissolution
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0.0001
0.001
0.01
0.1
1
7 8 9 10 11 12
Co
rr.
Ra
te (
mm
/y)
pH
Caruso and Michels (1981) 294 K,0.12 m NH3, spray test, air
Polan et al. (1981) 298 K, 0-0.0094 mNH3, aerated, 8-12 ppm O2
Polan et al. (1981) 298 K, 0-0.0094 mNH3, deaerated, 0.1-0.2 ppm O2
Sheldon and Polan (1985) 298 K, 0-0.0012 m NH3, lab. data, deaerated
Caruso and Michels (1981) 303 K,0.059 m NH3, fog test, air
Todd (2005), 500 ppm NH3, 1400ppm NH4CO3
298K, NH3, 10 ppm O2, static
298K, NH3, 0.2 ppm O2, static
298 K, 1400ppm NH42CO3+NH3, air,static
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0.0001
0.001
0.01
0.1
1
7 8 9 10 11 12
Co
rr. R
ate
(m
m/y
)
pH
Caruso and Michels (1981) 294 K, 0.12
m NH3, spray test, air
Polan et al. (1981) 298 K, 0-0.0094 m
NH3, aerated, 8-12 ppm O2
Polan et al. (1981) 298 K, 0-0.0094 m
NH3, deaerated, 0.1-0.2 ppm O2
Sheldon and Polan (1985) 298 K, 0-
0.0012 m NH3, lab. data, deaerated
Caruso and Michels (1981) 303 K, 0.059
m NH3, fog test, air
Todd (2005), 500 ppm NH3, 1400 ppm
NH4CO3
Calc, 298K, NH3, 10 ppm O2, static
Calc, 298K, NH3, 0.2 ppm O2, static
Calc, 298 K, 1400ppm NH42CO3+NH3,
air, static
CuNi9010
CuNi7030
Assessment of corrosion resistance
Example: Alloy 2205 in H2SO4
Isocorrosion Curve (0.1 mm/y)
0.0
20.0
40.0
60.0
80.0
100.0
0 1 2 3 4 5 6 7
H2SO4, m
T,
0C
Hummel (1982)
Nicolio andCourtis (2002)
Calculations
General Corrosion
No General Corrosion
Prediction of localized corrosion
• Criterion: Corrosion potential vs. repassivation potential
• Repassivation potential model
• Interfaces: Metal – metal halide – occluded solution
• Formation of metal oxide in the limit of repassivation
• Competitive adsorption at the interface
• Aggressive ions promoting metal dissolution
• Inhibitive ions promoting oxide formation
Chloride
Pote
ntial
Erp
Ecorr
Localized corrosion
Previous work: Generalized correlation for predicting Erp of Fe-Ni-Cr-Mo-W-N alloys
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1.0
0.0001 0.001 0.01 0.1 1 10
aCl
Erp
(SH
E)
22, exp
22, generalized
276, exp
276, generalized
625, exp
625, generalized
825, exp
825, generalized
690, generalized
600, exp
600, generalized
800, generalized
254SMO, exp
254SMO, generalized
AL6XN, exp
AL6XN, generalized
2205, generalized
316L, exp
316L, generalized
304L, generalized
s-13Cr, exp
s-13Cr, generalized
Example: T = 368 K
• Reproduces Erp for 15 metals (13 stainless steels and nickel-base alloys, Ni, and Fe)
• Predictions have been verified from 296 K to 423 K
Alloy 2507 in chloride solutions at 85 C: Blind test
• The generalized correlation predicts Erp that is very close to the most recent experimental data
• Further improvement is obtained by a slight adjustment of the Gibbs energy of activation for metal dissolution mediated by adsorption of Cl- ions
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1.0
1.2
1.4
0.001 0.01 0.1 1 10
E rp, S
HE
m Cl-
No H2S, Sept 2012
No H2S, Feb 2012
Calc - 2507 (correlation)
Calc - 2507 (one
parameter adjusted)
no localized corrosion observed - pointsignored
Localized corrosion: Current work
• Localized corrosion in Cl- - H2S environments
• Stress corrosion cracking: Initiation above Erp
• Extension of the model to include H2S effects
• Experimental program at DNV
Generalization to multiphase flow
• Electrochemical reactions depend on the concentrations of species near the surface
• Mass transfer of species to and from the interface depends on flow conditions
• Numerical characterization through mass transfer coefficient km
• Models for calculating km for single-phase flow have been available in the Corrosion Analyzer
• In multiphase flow, there is a great variability of flow patterns and a generalized approach is necessary
Generalization to multiphase flow: Shear stress
• Shear stress yields mass transfer coefficient km:
• Alternative ways of calculating the shear stress
• From fluid flow software
Preferred approach because it can account in detail for various flow patterns
Integration with OLGA
• From an approximate correlation for water – oil – gas flow
3/2
00608.0
Dkm
shear stress
Electrochemical models for general and localized corrosion: Parameterization
• Metals
• Carbon steel
• Stainless steels: 13Cr, 304, 316, 254SMO
• Nickel-base alloys: 22, 276, 625, 825, 600, 690, and Ni
• Duplex alloy: 2205
• Copper-nickel alloys: Cu, CuNi9010, CuNi7030
• Aluminum
Progress in Extreme Value Statistics
• Objective: Predict the propagation of localized corrosion as a function of time on the basis of short-term data
From current EVS Analyzer
Progress in Extreme Value Statistics
• New developments
• Improved statistics: Calculating the upper bound for localized corrosion
• Prediction of the number of perforations, their area and leak rate
• Extension to r-largest order statistics
Time, years
0 2 4 6 8 10 12 14
Num
be
r of ho
les p
er
sq. ft.
0
50
100
150
200
250
300
1/2 in.
1/4 in.
Predicting the number of penetrations as a function of time for varying wall thickness
Plans for Future Development
• Short and medium-term objectives
• Implementation of improvements to Extreme Value Statistics in Corrosion Analyzer
• Corrosion-resistant alloys in oil and gas environments (in collaboration with DNV)
• Long-term objective
• Mixed-solvent electrolyte electrochemical model
Opening new chemistries and providing improved predictions by taking advantage of the MSE thermodynamic model