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Failure Analysis Books | Corrosion Prediction | Welding Requirements of a SCR
Cathodic Protection for Deepwater Pipelines | ERW Pipe and Deep Water

Corrosion Prediction
by: Gordon A. Aaker, P.E.

 

The following SAMPLE CALCULATION may be used as a guideline to predict the corrosion rate from the effects of CO2

1. Design Conditions:

Operating Condition = 245 psi (16.33 Bars),
Mol % CO2 = 4.0%,
Partial Pressure CO2 = 9.8 psi (.6533 Bars),
Temperature = 120 degrees F (48 degrees C).


2. Corrosion Effects

The corrosion of carbon steel in a wet CO2 environment can lead to iron carbonate as a reaction product. Although recent work suggests that an iron carbide matrix is first produced on the surface of a corroding steel surface, a carbonate scale, which will protect the underlying metal, can often be formed. The formation and protectiveness of such a scale depends on a number of factors such as the solubility of iron carbonate (which will vary with pH and the presence of other salts), the rate of reaction of the underlying steel and the surface quality (roughness/cleanliness). In addition, the scale persistency will be sensitive to turbulence and may grow to such a thickness that it cracks and spalls. Current practice is to not rely on such carbonate scale to give continuous protection over the full length of a hydrocarbon flow line or export line. Particularly in regions of high flow or at weld seams, scale breakdown can lead to a rapid rates of localized corrosion (Mesa Attack). Although a carbonate scale may protect the majority of a line, the corrosion rate used for design calculations must be based on the de Waard and Milliams equation. However, at temperatures of 60°C or more the scale is considered stable and protective enough to allow modification of the de Waard an Milliams equation by a multiplying factor,

F(s): V = F(s) v(dWM)

where V is the adjusted corrosion rate, F(s) is the factor for scaling and v(dWM) is the corrosion rate calculated from the original de Waard and Milliams equation.

Log F(s) = (2500/(T+273)) - 7.5
Log F(s) = (2500/(48°C+273)) - 7.5
Log F(s) = (2500/321) - 7.5
Log F(s) = 7.788 - 7.50 Log
F(s) = 0.2882
F(s) = 1.941

Since the is temperature is less than 60° C use 1.0.

If the correction for high temperature scaling is made then no allowance should be made for pH correction. The pH correction factor is for bare metal surface and it is currently unclear what effect pH will have on the corrosion rate of a surface that is protected by a high temperature scale. The original de Waard and Milliams work was carried out at low partial pressures of  CO2 (< 1 bar). The fugacity of a gas species is effectively the activity of a gas species and for ideal gases or gases at low pressures this is equal to the partial pressure. At higher pressures, because of non-ideality, the fugacity or activity of CO2 is less than its partial pressure and this should be used in the calculation of corrosion rates. It is possible to calculate the CO2 fugacity (f CO2) and use it in the de Waard and Milliams equation corrected for partial pressure:

f CO2 = (a)(ppCO2)


where f CO2 is the CO2 fugacity, (a) is the fugacity coefficient and ppCO2 is the partial pressure of CO2

For operating pressure of 245 psi

ppCO2 = Pressure( % CO2)
ppCO2 = 245 psi (4.0%)(.01)
ppCO2 = 9.8 psi or 0.6533 Bars
Log(a) = P total (0.0031 - 1.4/(T + 273))
Log(a) = (245/15)Bars(0.0031 - 1.4/(68°C +273))
Log(a) = (16.33Bars)(0.0031 - 1.4/321)
Log(a) = (16.33Bars)(0.0031 - .0044)
Log(a) = (16.33Bars)(-0.0013)
Log(a) = -0.0212
(a) =.9523


then, the calculated corrected partial pressure is:

f CO2 = (a)(ppCO2)
f CO2 = (0.9523)(0.6533 Bars)
f CO2 = 0.6221


the corrosion rate v(dWM) is given by:

Log(v) = 5.8 - 1710/(t + 273) + 0.67 Log(f CO2)
Log(v) = 5.8 - 1710/(48 + 273) + 0.67Log(0.6221)
Log(v) = 5.8 - 1710/(321) + 0.67(-.2061)
Log(v) = 5.8 - 5.32 + - 0.1381
Log(v) = 0.3419

(v) = 2.19 mm and the adjusted corrosion rate V is:

V = F(s) v(dWM)
V = (1.0) ( 2.19 mm)
V = 2.19 mm per year.

The use of inhibitors can be 90% effective, therefore, with inhibitors, V= 0.219 mm per year. For 20 Years:

V = 0.219 mm(20 yrs)
V = 4.3 mm = 0.17244 inches

The above prediction is recognized as being very conservative and usually is modified

V = 0.177 inches x 0.60 = 0.120 inches

Required minimum corrosion allowance for 20 years is 0.102 inches

3. Velocity Effects

It is known that in mixed phase conditions without the presence of solids that a slug flow condition readily damages any scale formed. As a result, where scale damage has occurred carbon steel corrosion rates would be at least equal to those predicted if no iron carbonate scale is formed. When scale is damaged pitting corrosion will take place. For systems, which are primarily liquid phase, and without solids, superficial flow velocities exceeding approximately 2.7 meters per second cause scale damage and corrosion similar to the slug flow condition. If solids are present, any protective scale is readily removed and corrosion rates will be at least as great as predicted if no iron carbonate scale is formed.

 
 

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