17
Paper No. The NACE International Annual Conference and Exposition PRED1 CTIVE MODEL FOR SWEET CORROSION IN HORIZONTAL MULTIPHASE SLUG FLOW W. P. JEPSON, S. BHONGALE, AND M. GOPAL NSF, UUCRC CORROSION IN MULTIPHASE SYSTEMS CENTER DEPARTMENT OF CHEMICAL ENGINEERING OHIO UNIVERSITY ATHENS, OHIO USA ABSTRACT Experiments have been performed in a 10 cm ID horizontal pipeline to observe the effect of ternperaiure, carbon dioxide partial pressure, flow, and oil/water composition, on corrosion in horizontal [multiphase slug flow, using a low viscosity (2 cp) oil. Corrosion rates have been measured for water cuts ranging form 20 to 100°/0,carbon dioxide partial pressures of 0.27, 0.45 and 0.79 MPa, temperatures of 40. 60, 70.80 and 90 C and Froude numbers of 6, 9 and 12. The corrosion rates are found to increase with an increase in temperature, Froude number and carbon dioxide partial pressure. The corrosion rates are found to decrease with increase in oil composition. The average void fraction as well as the pressure drop across the slug is fbund to increase with an increase in Froude number and carbon dioxide partial pressure. A model to predict corrosion rates for low viscosity oils has been established which relates the corrosion r~te to the pressure gradient, temperature, carbon dioxide partial pressure and water cut. Keywords: Horizontal Multiphase Flow, Corrosion, High Pressure, Carbon Steel, Prediction, Model. INTRODUCTION When the oil fields are located in remote areas such as Alaska or subsea, it is not practical to separate the oil/water/gas at the well site. Hence, it is a common practice to transport the oil/water/gas mixture from several wells to a central gathering station through large diameter pipelines. where separation takes place, Copyright 01996 by NACE International. Requests for permission to publish this manuscript in any form, in part or in whole must be made in writing to NACE International, Conferences Division, P.O. Box 218340, Houston, Texas 77218-8340. The material presented and the views expressed in this paper are solely those of the author(s) and are not necessarily endorsed by the Association. Printed in the U.S.A.

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Page 1: Horizontal Multiphase Flow, Corrosion, High Pressure ... · Keywords: Horizontal Multiphase Flow, Corrosion, High Pressure, Carbon Steel, Prediction, Model. introduction When the

Paper No.

The NACE International Annual Conference and Exposition

PRED1 CTIVE MODEL FOR SWEET CORROSION IN HORIZONTAL MULTIPHASE SLUGFLOW

W. P. JEPSON, S. BHONGALE, AND M. GOPALNSF, UUCRC CORROSION IN MULTIPHASE SYSTEMS CENTER

DEPARTMENT OF CHEMICAL ENGINEERINGOHIO UNIVERSITY

ATHENS, OHIOUSA

ABSTRACT

Experiments have been performed in a 10 cm ID horizontal pipeline to observe the effect ofternperaiure, carbon dioxide partial pressure, flow, and oil/water composition, on corrosion in horizontal[multiphase slug flow, using a low viscosity (2 cp) oil. Corrosion rates have been measured for water cutsranging form 20 to 100°/0,carbon dioxide partial pressures of 0.27, 0.45 and 0.79 MPa, temperatures of 40.60, 70.80 and 90 C and Froude numbers of 6, 9 and 12. The corrosion rates are found to increase with anincrease in temperature, Froude number and carbon dioxide partial pressure. The corrosion rates are foundto decrease with increase in oil composition. The average void fraction as well as the pressure drop acrossthe slug is fbund to increase with an increase in Froude number and carbon dioxide partial pressure. Amodel to predict corrosion rates for low viscosity oils has been established which relates the corrosion r~teto the pressure gradient, temperature, carbon dioxide partial pressure and water cut.

Keywords: Horizontal Multiphase Flow, Corrosion, High Pressure, Carbon Steel, Prediction, Model.

INTRODUCTION

When the oil fields are located in remote areas such as Alaska or subsea, it is not practical to separatethe oil/water/gas at the well site. Hence, it is a common practice to transport the oil/water/gas mixture fromseveral wells to a central gathering station through large diameter pipelines. where separation takes place,

Copyright01996 by NACE International. Requests for permission to publish this manuscript in any form, in part or in whole must be made in writing to NACEInternational, Conferences Division, P.O. Box 218340, Houston, Texas 77218-8340. The material presented and the views expressed in thispaper are solely those of the author(s) and are not necessarily endorsed by the Association. Printed in the U.S.A.

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AS the well ages. enhanced methods of oil recovery involving the injection of carbon dioxide andwater are used. This helps to maintain the pressure within the reservoir. However, some of the carbondioxide and brine flows with the oil and gas. This multiphase flow of oil-water-gas mixture creates anumber of corrosion problems in the pipelines. Many oil wells operate at high water cuts, as high as 80?%,Also, in the presence of water, the added carbon dioxide forms weak carbonic acid. This acid beingcorrosive in nature, causes higher corrosion rates in carbon steel pipelines. The oil and gas mixture may alsocontain waxes, hydrates. hydrogen sulphide and sand.

Several predictive models for the corrosion rate have been developed. De Waard and Nlilliams

( 1975)1 performed corrosion studies in stirred beakers and determined corrosion rates by means of weightloss coupons and polarization resistance measurements. They studied the effect of carbon dioxide partialpressure and temperature on corrosion. They found that the corrosion rate initially increases with increasein temperature from 30 to 60 C, reaches a maximum between 60 to 70 C and thereafter decreases until 90C’. Simi Iar results were also obtained by Vuppu and Jepson (1994)C who performed experiments in ilowloops under full pipe flow conditions. Also, the corrosion rates increased with increase in carbon dioxidepartial pressure. De Waard and Milliams proposed a predictive model for corrosion rates which incorporatedthe effecl.s of pressure and temperature. However, this model did not take into account the effects of flowvelocity, presence of corrosion products on the metal surface and oil composition.

Later, an improved model, which provided correction factors for the non- ideality of carbon dioxideat high pressures, formation of iron carbonate scales at high temperatures and changes in pH and Fez” ionlevels. was presented by de Waard, Lotz and Milliams (1991 )s. They later ( 1993j presented a revisedcorrelation between corrosion rate and flow velocity, temperature and carbon dioxide partial pressure. Basedon the experiments performed in a high pressure test loop, de Waard, Lotz and Dugstad (1995)5 proposeda semi-empirical model for corrosion rates. This model combined the contribution of flow-independentkinetics of the corrosion reaction with one from flow dependent mass transfer of dissolved carbon dioxideby means of a resistance model. This model still did not take into account the effect of oil composition.

Eiird, Wright, Boros and Hailey (1993)(’ performed experiments with three different systems, 2,54cm and 9 cm pipe diameter loops, jet impingement, and rotating cylinder electrode method. Theyestablished a correlation between corrosion rate and wall shear stress. This correlation is ~iven bv thefollowing equation:

where. RC.)R = corrosion rate inT,, wall shear stressa&b = constants

(1)

mm/yearin N/m~

This equation is valid only- for brine and different values of a and b are needed if it is to be applied to othersystems. The value of the coefficient “a” varied with the temperature, carbon dioxide partial pressure andthe type clf flow. These tests also provided a comparison between pipe flow, rotating cylinders and the jetimpinger,~ent technique. It was found that the pipe flow correlated better with the jet impingementtechnique, whi Ie the results from rotating cylinders grossly underestimated the corrosion rates.

Kanwar and Jepson (1994)7 performed corrosion studies in a 10 cm diameter flow loop under full

19/2

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pipe flow conditions, at carbon dioxide partial pressures up to 0.79 MPa, temperature of 40 C with two oilsof viscosities 2 and 18 cp and ASTM water. Based on the concept introduced by Efird et al. ( 1993), theyproposed the following predictive model for corrosion rate:

where. RCOR = corrosion rate in mm/yearP= carbon dioxide partial pressure in MPaT,, wall shear stress in N/mz

(2)

b&c = constant exponents with values of 0.1 and 0.83 respectivelyk= constant (mm/year) (MPa)-[)‘s(N/mz)-c’]

This relation is valid for full pipe flow of low viscosity oils with concentrations up to 60?40oil and a

temperature of 40 C. Later, Kanwar (1994)8 carried out similar experiments at temperatures of 30, 33, 50and 60 C to determine the effect of temperature on the corrosion rate. He found that the coefficient “k” inabove ec uation 2, could be represented as a function of temperature in the following manner:

5041—)

‘(~ = k, Te( I’(3)

where. k, = constant with value 416649 (mm/y ear)(MPa)-O 8s(N/m~)-()l(K)-’T= temperature in Kelvin

However, this equation cannot be applied at temperatures higher than 60 C. since it does not account for theformation of protective iron carbonate scales at these higher temperatures.

The present work focuses on the effect of flow, temperature. carbon dioxide partial pressure and oilcomposition on the corrosion rate in horizontal multiphase slug flow.

EXPERIMENTAL SETUP AND PROCEDURE

The experimental setup is shown in Figure 1. The system is made of316 stainless steel and isdesigned to withstand a maximum pressure of 100 bars. A predetermined oil-water mixture is stored in a1,2 nl~ tank which serves as a storage tank as well as a separation unit for the rnultiphase gas-oil-~vatermixture. The system temperature is controlled by two 1.5 kW heaters. connected to a thermostat, The liquidis pumped by a 5.2 kW stainless steel, centrifugal pump into a 7.72 cm ID pipeline. An orifice plate is usedto meas~.re the flow rate. The pressure drop across the orifice plate is measured with a manometer. Theliquid flew rate is controlled by adjusting the gate valve C on the bypass line, and valve D. The bypass alsoserves to keep the two liquid phases well mixed in the storage tank.

The liquid then passes into a 10.16 cm ID pipeline where carbon dioxide enters at the point Ii. Thegas/liquid mixture flows through the test section and back into the holding tank where the gas and liquid arcseparatecl. A back pressure regulator K, maintains the pressure in the system. The gas flow rate is controlledby a needle valve.

The test section is shown in Figure 2. The openings E and C at the top and the bottolm of the pipeare used 1.oflush mount the ER probes with the pipe wall for the corrosion rate measurement. and the couponholder p;obes for weight loss measurements and for performing morphological studies using ScanningElectron Microscopy (SEM). The positions P are pressure tappings. which are connected to a pressure

19/3

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transducer and are used to measure the pressure drop between various locations in the test section. S is aport for the insertion of a shear stress probe but is not used in this work. ST is the sampling probe used totake out samples of the flowing fluid to determine oxygen, iron and carbon dioxide concentrations in thesystem.

The iluids used were a refined oil with a viscosity of 2 cp at 40 C and density of 800 kg/n15 andASTM s:andard sea water. Carbon dioxide is used as the gas phase.

The experiments were performed at carbon dioxide partial pressures of 0.27, 0.45 and 0.79 MPa.temperatures of 40. 60, 70, 80 and 90 C and a Froude number of 6, 9 and 12 (corresponding to slugvelocities of 3, 4.5 and 6 m/s respectively). Water cuts of 100, 80, 60, 40 and 20°/0 were used.

The Froude number is defined as follows:

where. Fr = Froude number in the liquid film ahead of the slugv, translational velocity of the slug, nl/sv, , velocity of the liquid film ahead of the slug, m/s

acceleration due to gravity, m/s~:1,,, = effective height of the liquid film ahead of the slug, m

(4)

RESULTS

Figure 3 shows the effect of temperature on corrosion rate for brine at Froude numbers of 9 and 12,and carbon dioxide partial pressures of 0.27, 0.45 and 0.79MPa. It is seen that at each of the carbon dioxidepartial pressures and Froude numbers, the corrosion rate increases with an increase in temperature. Nomaximum in the corrosion rate is seen at any of the temperatures studied. For example, at a carbon dioxidepartial pressure of 0.79MPa and Froude number of 9, the corrosion rate increases from 12.1 to 34.1 nlm/yearwith increase in temperature from 40 to 60 C, then increases at a slower rate from 34.1 to 38.2 mnl/year withincrease in temperature from 60 to 70 C and iinally increases at a much higher rate from 38.2 to 63.5nm~/year with further increase in temperature from 70 to 90 C. This is not seen in the results obtained byde Waard and Mi lliams ( 1975), wherein a maximum in the corrosion rate was observed at a temperaturebetween 60 to 70 C. However, for slLlgflow, the higher rate of increase in corrosion rate with temperatureabove 70 C, could be due to possible stripping away of the protective layer of corrosion products on themetal surfhce, due to high levels of shear and turbulence encountered in slug flow. ‘I-his is also confirmedfrom the morphological studies. using SEM of the coupon surfaces, where the average thickness of thecorrosion product layer on the slug flow coupons is found to be much smaller than the average thicknessfound on full pipe flow coupons,

Figure 4 shows similar results obtained for lower water cuts of 80’Yo.It is seen that the corrosion rateincreases almost linearly with increase in temperature. Similar results are seen for water cuts of 60 and 40°/0.

The variation of corrosion rate with oil composition at a Froude number of 12, temperatures of 40.60 and 80 C and carbon dioxide partial pressure of 0.79MPa is shown in Figure 5. At a temperature of 80C, the corrosion rate decreases from 58.5 to 48.5 nlm/year with increase in oil composition from Oto 40Y0,then decreases at a higher rate from 48.5 to 33.5 mm/year with increase in oil composition from 40 to 60!YII

19/4

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and finally reduces to negligible value for oil composition of 80°/0. Figure 6 shows the variation of the oilfraction across the pipe diameter for a water cut of 80% at carbon dioxide partial pressure of 0.79MPa. Itis seen that the oil fraction is almost uniform across the pipe diameter indicating that the liquid phase is wellmixed under slug flow conditions. The oil is now the continuous phase at this percentage of oil in the liquid.I1ence. with increase in oil composition, less water contacts the pipe surface leading to decrease in corrosionrate. Also, from Figure 7 which shows the void fraction at the bottom of the pipe it can be seen that the voidfraction here at the bottom of the pipe deceases with increase in oil composition. This results in a decreasein the inl ensity of turbulence, resulting in the decrease in the corrosion rates.

Fi.gure 8 shows the corrosion rate versus Froude number at temperatures of 40, 60 and 80 C, carbondioxide partial pressures of 0.27 and 0.79 MPa and water cut of 80?40.It is seen that at each temperature andcarbon clioxide partial pressure, the corrosion rate increases with an increase in Froude number. Forexample, at a water cut of 80°/0, the corrosion rate increases from 28.1 to 31.9 to 34,4 mmlyear with increasein Froude number from 6 to 9 to 12. The variation of the average void fraction across the pipe diameter withFroude number is shown in Figure 9 for water cut of 80Y0. The average void fraction increases with increasein F’roudc number, indicating that more and more gas is entrained in the slug. Also, from Figure 10 it is seenthat the pressure drop across the slug in this case increases with increase in Froude number. Thus withincrease in Froude number there is an increase in the intensity of shear and turbulence at the bottom of thepipe.

Since, the pressure drop across the slug is a measure of the shear and turbulence at the bottom of thepipe. the corrosion rates at each temperature were plotted against the experimentally obtained pressuregradients. Figure 11 and 12 show these plots for brine at carbon dioxide partial pressure of 0,27 and0.79MPa respectively. It is found that, under almost all conditions the value of the exponent remainsconstant and its value is found to be 0.30+0.05. Similar results w7ereobtained at lower water cuts of 80, 60and 40°/0. So the following relation between the corrosion rate and the pressure gradient is proposed:

(5)

However, it is found that the value of the coefficient ‘a’varies with water cut, carbon dioxide partial pressureand temperature. Hence, the value of the coefficient ‘a’was plotted against overall water cut at each of thetemperatures of 40.60 and 80 C. Figure 13 and 14 show these plots for carbon dioxide partial pressures of0,27 and 0, 79MPa respectively. In each case a power curve fit was made. It can be seen that the value ofthe exponent did not change much with temperature and carbon dioxide partial pressure. Its value is foundto be 0.61 M0.08. Thus the following relationship between the corrosion rate and overall water cut isobtained.

(6)

The value of the coefilcient ‘c’is seen to increase with increase in carbon dioxide partial pressure.These results suggested plots of the coefficient ‘c’, for different water cuts, against carbon dioxide partialpressure at each of the temperatures. These plots are shown in Figure 15. Once again a power curve fit was

1915

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made and it was found that the value of the exponent in each case was approximately 0.8. The coefficient,however. increased with increase in temperature. Hence, the equation for corrosion rate as a function ofcarbon c.ioxide partial pressure, water cut and pressure gradient becomes,

(7)

The effect of temperature is now considered. As has been discussed previously, the corrosion rate

increased with temperature over the entire range of temperatures studied. The transition theory is used toincorpor,lte the effect of temperature into the model. From transition theory, it is known that the corrosionrate varies with temperature in the following manner,

E(’R = k, T exp(- —)

RT

The value of the coefficient k(T) from equation is plotted against temperature,analysis of the values of k(T). was carried out to evaluate the activation energy constant ‘E’.in Figure 16. The resulting equation defines the value of the constant k, and the activationvalues are,

E/R = 2671 K

k, = 31.15

(8)

A regressions]This is shown

energy, These

Thus the final expression for the corrosion rate as a function of pressure gradient, water cut, carbon

dioxide partial pressure and temperature is given below-.

(9)

‘Ihis is a predictive equation for corrosion rates for low viscosity oils under slug flow conditions.Figure 1‘7shows the graph of predicted corrosion rates versus the actual corrosion rates. The results arequite satisfactory and the predictions are good representations of the experimental data. Experiments arenow beir[g carried out to study corrosion rates for high viscosity oils under similar conditions.

Figure 18 compares the plot of corrosion rate obtained experimentally in this study and thosepredicted by the model of de Waard et al. (1995), versus temperature at a carbon dioxide partial pressureof 0.27 MPa. It can be seen that the de W’aard et al. predictions are much lower than the experimentalvalues obtained in this study under similar operating conditions. Figure 19 shows a similar comparison ata Froude number of 12 (liquid velocity of 6 m/s) and a temperature of 80 C. Here it can be seen that athigher carbon dioxide partial pressures, the de Waard et al. predictions are much lower than those obtainedexperimentally at the same operating conditions.

CONCLUSIONS

For the low viscosity oil tested, the corrosion rate increased with an increase in temperature over the

19/6

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entire range studied, at every Froude number, carbon dioxide partial pressure and water cut. No maximumin the corrosion rate is observed at any of the temperatures studied. The high levels of shear and turbulenceat the bottom of the pipe, encountered in slug flow-, strip away the protective film of corrosion productsformed on the pipe wall resulting in high rates of corrosion.

At each temperature, carbon dioxide partial pressure and water cut, the corrosion rate increased withan increase in Froude number. Also. with increase in Froude number. there was a increase in the voidfraction at the bottom of the pipe as well as the average void fraction across the pipe diameter. This wasmanifested in an increase in the pressure drop across the slug indicating that the intensity of shear andturbulence increased with increase in Froude number.

The corrosion rate decreased with an increase in oil composition from Oto 60Y0. The corrosion ratereduced to negligible values for an oil composition of 80°/0. This was due to the transition from a watercontinuous phase to an oil continuous phase. No maximum in the corrosion rate was seen at any of the oilcompositions studied.

The oil fraction across the pipe diameter is more or less uniform across the pipe diameter indicatingthat the liquid phase is well mixed under slug flow conditions.

For slug flow, the pressure gradient is a measure of the shear and turbulence at the bottom of thepipe. A model to predict corrosion rates has been established which shows that the corrosion rates aredependent on the temperature, carbon dioxide partial pressure, pressure gradient across the slug and watercut. This model can predict corrosion rates up to water cuts of 60°/0 for a low viscosity oil. carbon dioxidepartial pressures up to 0.79 MPa and temperatures up to 90 C.

REFERENCES

1. De Waard C.. and Milliams, D.E. “Carbonic Acid Corrosion of Steel”, Corrosion, 31, 5(1 975): p. 177.

2. Vuppu, AK. and .Iepson, W. P., ‘hStudy of Sweet Corrosion in Horizontal Multiphase. Carbon Steel

Pipelines.” Offshore Technology Conference. 7494/265-7494/276, (Houston, TX:SPE. 1993).

3. De Waard, C., Lotz. U.. and Milliams, D.E., “ Predictive Model for Cc)z Corrosion Engineering in WetNatural Gas Pipelines,” Corrosion, 47, 12( 1991): p. 976.

4. De Waard, C.. Lotz, U., and Milliams, D. E., “’Prediction of COZ Corrosion of Carbon Steel,”Corrosion/93, paper no. 69, (Houston, TX: NACE International. 1993),.

5. De Waard, C., Lotz, U., and Dugstad, D,, “Intluence of Liquid Flow Velocity on COZ Corrosion: ASenli-En~pirical Model,” Corrosioti95, paper no. 128, (Houston, TX: NACE International, 1995).

6. Efird. K.D., Wright, E.J., Boros, .T.A., and Hailey, T.G. “Wall Shear Stress and Flow AcceleratedCorrosion of Carbon Steel in Sweet Production,” 12th International Corrosion Congress, Technical PaperTS 14194, (Houston, TX: NACE International. 1993).

7. Kanwar, S., and .Tepson, W. P., “A Model to Predict Sweet Corrosion of Multiphase Flow in Horizontal

19/7

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Pipelines--, Corrosion/94, paper no. -74, (Houston. TX: NACE International, 1994).

8. Kanwar, S. (1994). Study and Modeling of Sweet Corrosion of Multiphase Mixtures in a HorizontalPipeline, Master’s Thesis, Ohio University, Russ College of Engineering and Technology.

M L

A. Liquid TankB. Liauid Recvcle

c

B

H. Carbon dioxide Feed LineL Test Section- 10.16 cm Stainless Steel Pipe

C. Vaive on Liquid Recycle J. 10.16 cm Stainless Steel Section ‘ “D. Valve on Liquid Feed K. Pressure Gauges & Back Pressure RegulatorE. Liquid Feed- 7.6 cm Stainless Steel Pipe L. Safety valveF. Orifice plate, to pressure transducer M. HeaterG. Flow Height Control Gate N. Pump

Figure 1. Layout of The Experimental System

19/8

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To Fluid Tank-—.. —-—

4

E cE - ER Probe or LPR ProbeC . Coupon 1= =1P - Pressure TappingsS - Shear Stress ProbeST - SamplingTubeT - Taps on voidfraction Tube

It 1

tr-

ST 10.16cmTest Section

-—_ -—- —-— ___ ___ ___ ___ ___ _

70

60

50

40

30

20

10

0

I Uu

EC

Figure 2. Test section

30 40 50 60 70 80 90

Temperature (C)

Figure 3. Corrosion rate

1919

vs Temperature

100 110

for brine

D-—

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60

so

40

30

20

10

0

, m I , , I , , , I , m I , m , I r , I , ,

~ Fr=6 I

~Fr=12 [’./

t

~,.-,+ -. Fr=9 ,

-/ P=O.79MPa/ “/

--1.J--Fr=l2 ./ “/,Zr’ ,4

-.

P=O.27MPa

30 40 50 60 70 80 90 100

Temperature (C)

Figure 4. Corrosion rate vs Temperature for 80~o water cut

70 1 I 1 , I

60,

50 -

30

20

10

00 20 40 60 80 100

Oil Percentage

Figure 5. Corrosion rate vs Oil composition atCO, partial pressure of 0.79MPa and Froude number of 12.

19/1o

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0.92

0.63

0.38

0.08

0.18

0.16

0.14

0.12

0.1

0.08

0.06

0.04

k\\\w”$-j”

w ~ Fr=6

[A] Fr=9

❑ Fr=12

o 0.2 0.4 0.6 0.8 1

Oil Fraction

Figure 6. Oil fraction across the pipe diameter for 80%water cut at CO, partial pressure of 0.79MPa

o 10 20 30 40 50 60 70

Figure 7. Voidcomposition

Oil composition

fraction at the bottom of the pipe vs Oilat COZ partial pressure of 0.79MPa

19/11

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70

60

50

40

30

20

10

0

0.6

0.55

0.5

0.45

0.4

0.35

0.3

~ P= O.27MPa,T=40C

~ P= O.27MPa,T=60C

~ P=0.27MPa,T=80C

P=o.79MPa,T=40c

~ P=0.79MPa,T.60C

~ P=0.79MPa,T=80C

2 4 6 8 10 12

Froude Number

Figure 8. Corrosion rate vs Froude number for 80% water cut

=

T ‘—

A

I

5 6 7 8 9 10 11 12 13

Froude Number

Figure 9. Average Void fraction across the pipe diameter vsFroude number for 80% water cut

19/12

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5.5

5

4.5

4

3.s

3

2.5

2

1.5

50

40

30

20

10

P=O.79MPa

T

P=O.27MPa

5 6 7 8 9 10 11 12 13

Froude Number

Figure 10. Pressure drop across the slug vs Froudenumber for 80% water cut

❑~T=60c — y = 2.5 ● XA(0.26) R= 0.89

~ T=70C y = 1.3 * xA(O.35) R= 0.99

~ T=80C

~ T=90Cy = 1.4 * xA(O.35) R= 0.97

— Y = 2 * XA(0.34) R= 0.93

1200 1400 1600 1800 2000 2300 250027002900

Pressure gradient (N/m3)

Figure 1L Corrosion rate vs Pressure gradient for brineat carbon dioxide partial pressure of 0.27MPa

19/13

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i

~ T=60C — Y = 4.1 * XA(o.26) R= O.%

~ T=70c— Y = 1.9 * XA(o.37) R= 0.98

-f+- T=80c

~ T=90C— Y = 6.9 * XA(0.25) R= 0.97

— y = 3.9 * XA(0.34) R= 0.99

1 1 1.

2000 3000 4000 5000

Pressure gradient (N/m3)

Figure 12 Corrosion rate vs Pressure gradient for brineat carbon dioxide partial pressure of 0.79MPa

10

1

0.1

1~ T=40C — Y = o.94 * XA(0.6) R= 0.98

~ T.60C— Y = 1.8 * x’(0.59) R= 0.99

y = 2.2 * XA(0.59) R= O.%

~ T=80C

b *

0.3 0.4 0.5 0.6 0.7 0.8 0.9 1

Overall water fraction

FEgure 13. Coeftlcient ‘a’ vs overall water fraction forcarbon dioxide partial pressure of 0.27MPa

19/14

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10

1

I~ T=40C — y = 1.1 * xA(O.6) R= 0.98

y = 3.1 * xA(O.68) R= 1~ T=60C

“T=80c~

10

1 I

0.3 0.4 0.5 0.6 0.7 0.8 0.9 1

Overall water fraction

Figure 14. Coefficient ‘a’ vs overall water fraction forcarbon dioxide partial pressure of 0.79MPa

() T=40C y=l.9*x A0.74[ 1 T=60C y=3.7*x A0.76A T=70C y=4. O*xAO.75m T=80C

@

0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1

COZ Partial Pressure (MPa)

Figure 15. Coefficient “c” vs carbon dioxide partial pressure

19/15

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8

7

6

5Gz

4

3

2

1

k(T)= kl*T*exp(-E/RT)

Value Error

k1 31.15 25.69

E/R 2671 290.7 ●

Chisq 0.3185 NAR 0.9905 NA

310 320 330 340 350 360 370

Temperature (K)

Figure 16. Coeftlcient ‘k(T)’ vs temperature

80

70

60

so

40

30

20

10

0

● “,.

●✌✏

✎✌✎✎

/-”/“ ‘o

.,,4” ●

● ☛+’.>” .* “

●,. ”.**. //* .

0 10 20 30 40 50 60 70 80

CR (experimental) (mm/year)

Figure 17. Predicted corrosion rates vs experimental corrosion ratesfor various oil compositions

19/16

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35

30

25

20

15

10

s

1 ,

——.——de Waard (1995) (V, =Vq=6m/s),.

II Experimental values I()

slug flow

[.1

II Full pipe flow

I I I I I I

30 40 50 60 70 80 90 100

Temperature (C)

Figure 18. Predicted corrosion rate vs temperature for brine 0.27 MPa

120

100

80

60

40

20

0

I 1 I I I I I

~ de Waard (1995), (V, = V$=6m/s)

L! Experimental values

l-l

L

I I I I I i I

o 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8

COZ partial pressure (MPa)

Figure 19. Predicted corrosion rates vs carbon dioxide partial pressurefor brine at 80C.

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