pipeline optimization a surface roughness approach by

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1 PIPELINE OPTIMIZATION A SURFACE ROUGHNESS APPROACH By Fred F. Farshad Abstract Worldwide, the pipeline industry has been experiencing an increased urgency to achieve pipeline flow efficiency. Currently, the primary objectives of pipeline companies focus on maximizing flow capacity and prolonging the life of piping systems. Chemical and mechanical cleaning ahead of in-line inspection pigging and internal pipeline coating projects have aided in increasing flow efficiency. These measures have also facilitated the detecting and managing of internal corrosion. Aging pipeline systems are imposing higher maintenance and operating costs to comply with pipeline safety and reliability standards. These pipeline standards, coupled with operation and maintenance costs, have forced the international and national pipeline communities to focus on pipeline efficiency. Transportation of hydrocarbons requires energy both to overcome friction pressure losses in the pipeline and to deliver the products to customers. This paper will focus on methods for determining pipeline efficiency as it relates to surface roughness of the pipeline. An attempt will be made to illustrate the significance of surface roughness, transmission factor, and thruput efficiency as they are used in the natural gas industry. Introduction Getting saleable products from the supply areas to the consumer utilizing cross-country pipelines has been, and will continue to be, an efficient, cost-effective, and environmentally safe means for transport. The maximum carrying capacity of a pipeline is limited by its initial parameters of construction. Consequently, the physical and thermodynamic properties of the natural gas affect the flow and compression characteristics of the gas, hence the product thruput efficiency 1 . Knowledge of the pipe internal surface roughness value is economically important in optimizing the design of pipeline systems. Surface roughness influences the flow characteristics in a pipe by creating unfavorable pressure and energy losses due to friction 2 . Corrosion and black powder accumulation in pipelines can create unwanted roughness, which will reduce the full pipe flow rate of hydrocarbons and will also increase costs thereby, impeding a smooth operation and creating a reduction in the life of the pipe.

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1

PIPELINE OPTIMIZATION –

A SURFACE ROUGHNESS APPROACH

By

Fred F. Farshad

Abstract

Worldwide, the pipeline industry has been experiencing an increased urgency to achieve

pipeline flow efficiency. Currently, the primary objectives of pipeline companies focus on

maximizing flow capacity and prolonging the life of piping systems. Chemical and

mechanical cleaning ahead of in-line inspection pigging and internal pipeline coating

projects have aided in increasing flow efficiency. These measures have also facilitated

the detecting and managing of internal corrosion. Aging pipeline systems are imposing

higher maintenance and operating costs to comply with pipeline safety and reliability

standards. These pipeline standards, coupled with operation and maintenance costs,

have forced the international and national pipeline communities to focus on pipeline

efficiency. Transportation of hydrocarbons requires energy both to overcome friction

pressure losses in the pipeline and to deliver the products to customers. This paper will

focus on methods for determining pipeline efficiency as it relates to surface roughness of

the pipeline. An attempt will be made to illustrate the significance of surface roughness,

transmission factor, and thruput efficiency as they are used in the natural gas industry.

Introduction

Getting saleable products from the supply areas to the consumer utilizing cross-country

pipelines has been, and will continue to be, an efficient, cost-effective, and

environmentally safe means for transport. The maximum carrying capacity of a pipeline

is limited by its initial parameters of construction. Consequently, the physical and

thermodynamic properties of the natural gas affect the flow and compression

characteristics of the gas, hence the product thruput efficiency1.

Knowledge of the pipe internal surface roughness value is economically important in

optimizing the design of pipeline systems. Surface roughness influences the flow

characteristics in a pipe by creating unfavorable pressure and energy losses due to

friction2. Corrosion and black powder accumulation in pipelines can create unwanted

roughness, which will reduce the full pipe flow rate of hydrocarbons and will also

increase costs thereby, impeding a smooth operation and creating a reduction in the life

of the pipe.

2

The application of liquid epoxy internal coating3 and newly developed corrosion

resistance alloys2 (CRA) started when the pipeline industry first became challenged with

corrosion in pipelines in the Gulf Coast region of the United States. Increasing concern

with such problems has also occurred in the upstream petrochemical industry. The

primary use of coatings was to extend the life of the pipe by preventing interaction of the

metals with the corrosive fluids. However, industry has discovered that there is a

beneficial advantage in the use of internally coated pipe, which improves the flow thruput

by reducing the wall surface roughness and the friction factor values.

Pipeline – Flow

For pipelines, the equations used to interrelate capacity, diameter, and pressure drop have

evolved concurrently with the growth in gas utilization. There are several equations used

in the industry for calculating the flow of gases in pipelines. As line pressures increased

along with pipeline size, more complex equations were required. Data was taken from

the pipeline test systems and correlated. This process has continued. Hence, there is not

one universal gas flow model equation that is superior under all conditions for all gases.

The most common gas pipeline flow equation is the Weymouth4 equation, which is

generally preferred for smaller-diameter pipelines such as gas gathering lines and pipe

with diameters less than sixteen inches. Other equations that are also frequently used are

the Panhandle A, Panhandle B5 (modified Panhandle), and AGA formula6. All of the

equations used depended on the friction factor correlation being used and the method of

incorporating the friction factor. Weymouth’s equation is based on friction factor being a

function of the diameter only. The Panhandle formulas are based on friction factor with

the friction factor being a function of the Reynolds number, or some modified version

thereof. The equations presented here are not all that have been advanced, but each has

been used widely. The choice is often arbitrary, based on policy, government

regulations, or merely personal choice.

Weymouth4

Weymouth’s equation has been widely accepted in industry, yet has been used far beyond

the original intent. The equation was designed for gas line operations at pressures from

35 to 100 psig. It is important to realize that the formula concerning the design of higher-

pressure gas systems has been modified by including a gas compressibility factor

evaluated at mean gas line pressure and temperature.

EdLZT

PP

P

Tq

mmgsc

sc

3

85.0

2

2

2

149.433

Where implicit in the formula, the following friction factor must be included:

33.0008.0

df f

3

Where:

L= Pipe length, miles.

E= Pipeline efficiency, expressed as a fraction

d= Internal pipe diameter, in.

ff = friction factor, dimensionless

Psc= Standard pressure of the pipe, psia

P1= Inlet pressure of the pipe, psia

P2= Outlet pressure of the pipe, psia.

Pm= Mean pressure, psia.

q= Gas rate at Ts and Ps SCF/Day

Tm=Mean absolute temperature in line segment, 0R.

Tsc= Standard temperature of the Pipe, 0R.

Zm =Mean gas deviation factor, dimensionless.

g = Specific gravity of gas (Air =1.00)

Also Zm may be evaluated as a mean pressure given by:

21

2121

3

2

PP

PPPPPm

Industry wide experience indicates that data taken on small size field gathering lines

operating at 1600 to 3200 psig showed reasonable agreement between volumes predicted

by Weymouth’s formula and metered volumes. In addition, industry experience indicates

that the friction used by Weymouth in general is too high for large diameter lines.

Furthermore, for gas transmission through long pipelines, Weymouth’s equation is not

recommended. In general, Weymouth’s equation is conservative and can be used with

confidence in low-pressure field gas gathering system.

Panhandle A Formula5

With the rapid increase in the number of large diameter transmission pipelines, it soon

became evident that Weymouth’s equation was not entirely satisfactory in predicting

volumes and pressures under widely varying loads. To present a useful equation to

practicing engineers and operators for predicting flow performance in large diameter gas

transmission pipelines, Panhandle Eastern Pipeline Company conducted a series of

pressure drop tests of gas flow in a 24-inch (.609 m) pipeline. This led to the

development of the Panhandle “A” formula. As pressures and flow rates increased with

time, a second set of tests was performed. The results produced a different equation.

Hence, in order to distinguish between them, the equations that have emerged are

commonly called Panhandle “A” and Panhandle “B”.

The average efficiency factor of 0.92 normally used in the Panhandle “A” equation was

obtained from empirical experience with the metered gas flow rates corrected to standard

conditions. An efficiency factor of “1” may be considered to be a perfect line under

perfect operating conditions within a Reynolds Number range of 5,000,000 to

4

14,000,000. The actual capacity of a commercially installed line will always be less.

For smaller diameter pipelines, experts recommend that the factor should be smaller.

Similarly, for large diameter pipelines, such as 36-inch (.914 m) and larger, they found

the efficiency to be as high as 0.98. In addition, the efficiency varied markedly in

different sections of the pipeline.

There is no definitive answer concerning which of the two equations is better, although

Panhandle “A” probably is more widely used. Neither of the Panhandle formula

equations is particularly suitable for low pressure lines, such as those with less than 100

psi (690 kpa), pipeline diameter smaller than 8-inch (20 mm), and systems operating at a

Reynolds Number less than 100,000.

07881..1

87.435

sc

sc

P

Tq Ed

LZT

PP

gmm

6182.2

4606.5394..2

2

2

1 1

Implicit in this equation is the following equation for friction factor:

1461.

0192.0

d

qf

g

f

In the above equation, the units are the same as those used in the Weymouth equation.

Note this equation is recommended for use in smaller diameter pipelines ID < 16 inches.

Modified Panhandle, B Formula5

EdLZT

PP

P

Tq

gmmsc

sc 530.2

510.

961.

2

2

2

1

02.1

737

Implicit in the modified Panhandle A formula is the following equation for friction

factor:

03922.0

00350

d

q.f

g

f

Again, the units are the same as those used in Weymouth’s equation. Note that the

modified Panhandle formula was specifically designed for use with high pressure, large

diameter pipelines, i.e. > 16 inches I.D., where the flow rates may vary quite widely. In

terms of pipeline networks, Panhandle A is normally used for the smaller lateral lines and

the Modified Panhandle is used for the main lines. Most experts recommend using a

value of .9 to .92 for E (pipeline efficiency) for a dry gas flow through new pipe. Since

the pipe is subject to various degrees of corrosion, contamination (i.e., black powder,

5

salts, etc.), paraffin deposition, hydrate formation, this efficiency will decline with time,

even for a dry gas system. For larger diameter pipes, i.e. > 36 inches I.D., the efficiency

may be as high as .98.

The AGA Equations6

The AGA equations were developed to approximate partially and fully turbulent flow

using two different transmission factors. The fully turbulent flow equation accounts for

the relative pipe roughness /D, based on the rough-pipe law4. This equation uses the

following transmission factor:

D

f f

7.3log4

110

Transmission factor can be roughly defined as the capacity of a pipeline relative to

pressure drop.

When the transmission factor for fully turbulent flow is substituted in the general energy

equation, the AGA equation for fully turbulent flow becomes:

EdZTL

PPD

P

TQ

avgavgmgsc

sc 5.2

5.02

2

2

110

7.3log477.38

The partially turbulent flow equation5 is based on the smooth pipe law and is modified to

account for drag-inducing elements. The transmission factor for this equation is:

6.01

Relog4

110

f

ff

f

The general equation for Steady State, Isothermal flow is:

EdZTL

PP

fP

TQ

avgavgmgfsc

sc 5.2

5.02

2

2

1177.38

6

Substituting ff

1 from above equation into the general energy equation for steady state,

isothermal flow would yield:

EdZTL

PP

fP

TQ

avgavgmgfsc

sc 5.2

5.02

2

2

1

1

Relog477.38

When dealing with a partially turbulent flow, a frictional drag factor must also be applied

to account for the effects of pipe bends and irregularities.

Pipeline Efficiency (E)

With most gas pipeline equations, an efficiency (E) usually is added to correct for small

amounts of liquid, general debris, weld resistance, valve installations, line bends, and

other factors which reduce gas flow rate below the basis rate predicted by the equation1.

The design value of efficiency E in a new clean gas line usually is estimated at 0.92.

Some operators back-calculate an E value from line operating data and “pigging” when

the value reaches a number lower than some set standard. Some pipeline companies

arbitrarily use a graduated efficiency, such as:

E = 0.85 - adverse (corroded), unpigged, old, dirty pipe

E = 0.92 - average to good condition, normal pipe design

E = 0.95 - excellent conditions with frequent pigging

E = 1.00 - new straight pipe without bends, seldom used in pipeline design

Pipeline efficiency can vary between 85 and 95 per cent, and an average value of 92 per

cent is often used. If the inside walls of the pipe are clean and smooth, and if the pipeline

is in perfect condition, an efficiency of 100 per cent can be attained. With standard piping

and compression design considered, it is common for the velocity to be that of enhanced

efficiency in many clean, large diameter, gas transmission cross-country pipelines and to

range from 10 to 17 feet per second or greater. Velocities below 10feet per second can

result in liquid and contaminant fallout.

Transmission Factor – Friction factor

Included in the AGA Equation is the transmission factor (1/ff). Transmission factor can

be roughly defined as the capacity of a pipeline relative to pressure drop. Moody’s

(1944) friction factor diagrams7 - as seen in Figures 1A & 1B, depict a plot of friction

factor, ƒ, as a function of Reynolds number, NRe and relative roughness, /D. In addition,

newly corrosion-resistant pipe is being utilized worldwide. Consequently, absolute

surface roughness values for these recently-fabricated pipes are required to properly

7

model the piping hydrodynamics. Farshad et al. 8,9,10 provided the relative roughness for

internal coated and bare Cr13 pipe surface profiling technology. Their results were

compared to Moody’s data by plotting the lines on Moody’s pipe roughness chart as

shown in Figure 3.

Fluid flow ranges in nature between two extremes, laminar and turbulent flow. In

laminar flow, friction factor is independent of surface roughness of the pipe. For flow in

the transition regime and in the turbulent regime, determination of the absolute pipe

roughness is necessary for obtaining a value of the friction factor. In turbulent flow, with

Reynolds numbers in excess of 2100, the friction factor is dependent on the Reynolds

number as well as pipe relative roughness. Dimensional analysis of pressure losses in

piping also shows the dependence of the friction factor on these parameters. The effects

of deterioration with age due to corrosion, contaminant deposition, erosion, and scale

buildup considerably increases the roughness factor, thereby reducing the pipe’s effective

diameter. Any appreciable increase in surface roughness must be adjusted.

The inside wall of commercially manufactured API high-pressure line pipe (API 5 LX)11

is not smooth. In turbulent flow, the surface roughness affects the friction factor, and thus

the pressure gradient in the pipe. The degree of surface roughness 8,9,10 in the pipe wall

is a function of the pipe material, method of descaling, and the environment to which it

has been exposed. For a given pipe diameter, the higher the transmission factor, the more

efficiently the pipe is being utilized. In addition, the higher the pipeline’s line pack

(pressure closest to but not over the maximum allowable operating pressure), the higher

the transmission factor and the greater the storage capacity of product in the pipeline.

Thus properties affecting the transmission factor are dependent upon the pipeline’s

operating flow regime. Two flow regimes often encountered in natural gas transmission

are partially turbulent flow and fully turbulent flow.

Flow Regimes

When a pipeline is operated in the partially turbulent regime, the main gas flow stream is

protected from contact with the pipe’s inner surface by a slower moving layer of gas

known as a boundary layer12. Therefore, the condition of the pipe surface has little effect

on pipeline performance in partially turbulent flow. In this regime, the transmission

factor is only a property of thruput. When thruput is increased, the transmission factor is

increased. This is due to transmitting more gas with little increase in drag (friction) due to

the protective boundary layer. Partially turbulent flow is predominant in large diameter,

low flow velocity systems.

When in partially turbulent flow, an increase in thruput indicates a more effectively used

pipeline. But as thruput continues to increase, the boundary layer is decreased.

Eventually, with further increases in thruput, the boundary layer will become so thin that

the pipe’s inner surface will be exposed to the main flow stream. At this point, the flow

is acted upon by the rough surface and becomes fully turbulent. Since further increases

in thruput will also increase drag, due to the exposed surface, the transmission factor

becomes a constant. The thruput at which fully turbulent flow will develop depends upon

the roughness of the internal pipe surface. The value of the fully turbulent flow

8

transmission factor will, therefore, also depend on surface roughness. For a given pipe

diameter, a lower surface roughness will indicate a higher fully turbulent transmission

factor or a more effective and efficient pipeline. Fully turbulent flow is predominant in

moderate to small diameter, high flow velocity systems.

Factors Affecting Flow Modeling

Many offshore gas pipeline designs have been performed using single-phase flow

equations with an efficiency factor, which is adjusted with flow rate. Researchers have

shown that the efficiency does not change with flow rate for horizontal lines, and that the

efficiency does in fact change with corrosion, contaminant deposition, liquid loading and

the inclination angle of the pipe. Flanigan13 and Baker14 were the first to recognize that

the efficiency changed with increase in liquid loading.

A) Liquid Loading of the Gas Stream - Liquid may be introduced into the flow stream

from several sources (i.e., hydrostatic tests, carryover upsets from oil & gas production,

upsets from gas storage fields, gas exchange points, condensation effects, etc.) and in

most cases offshore pipelines are transporting “wet gas”, even though field operations

consider the line “dry”. In addition, there is usually some consideration of either water or

hydrocarbon components as the gas is transmitted through the pipeline. Furthermore,

many pipeline contracts call for the mixing of certain volumes of liquid hydrocarbons

(BTU value) to be moved with the gas. Flanigan13 and the AGA5 have established that

the single-phase gas flow efficiency decreases with increasing liquid loading.

B) Pipeline Elevation Changes – When gas pipelines are considered to be dry gas

systems, it is reasonable to neglect elevation changes. However, elevation will have a

pronounced affect on the performance of a wet gas pipeline. Elevation has an especially

pronounced effect when it concerns gas and liquid upstream pipeline flow. The liquid

will tend to accumulate or “holdup” on the downstream side of the pipeline allowing the

gas to “slip” by on the topside of the pipe. Offshore pipelines exhibit some degree of

inclination, and a slight rise over the entire length of the line can significantly increase

the liquid holdup. Consequently, the liquid holdup is a function of flow regimes, flow

rates, pipe diameter, and many other variables as has been shown by many investigators

including Beggs and Brill15.

C) Black Powder - Black Powder contamination occurs in most gas pipelines and can

be described as any of several forms of iron sulfide or iron oxide with other contaminants

such as water, oils, salts, sand and dirt. In wet gas pipelines, it may appear visually as a

wet tar-like slurry substance. In dehydrated gas transmission systems, it can be described

as a dry, very fine black powder or “smoke-like”. Black powder will fill pitted areas on

internal pipe surfaces masking anomalies and can create protrusions, which vary in

height, width, length, shape and will directly affect the surface roughness of the pipe, and

hence, reduce the flow efficiency of the pipeline16.

D) Multi-Phase Flow- In turbulent flow, the surface roughness affects the frictional

pressure drop. As previously stated, the degree of surface roughness on the internal pipe

9

wall is a function of the pipe material, method of descaling, environment to which it has

been exposed, and the pigging frequency of the pipeline. Based on the above factors, the

relationship between single-phase flow efficiency and two-phase flow correlation must be

developed. When two-phase flow is considered, three parameters must be determined to

map out the hydrodynamics inside the pipeline: 1) the liquid holdup, 2) two-phase

friction factor, and 3) flow patterns or regimes. The holdup is the in-situ volume fraction

accounting for slippage. The value of liquid holdup depends on flow regime, inclination

angle, flow rates, mixture fluid properties, and Froude number. There are several

correlations available for multi-phase flow in pipelines. The authors prefer the Beggs

and Brill correlation15 for many reasons well established in the literature. In addition,

multi-phase flow correlations are too lengthy to present here and are out of the scope of

this article.

Field Case Histories

Two cases will be considered illustrating how surface roughness affects pipeline

operations17. The first will show how pipe roughness in a pipeline limits thruput and thus

gas sales when operating near maximum capacity. The second will show how roughness

will affect pressure drops and resulting fuel requirements necessary when excessive

horsepower is required.

Thruput Enhancement

For a pipeline or flow line operating near maximum capacity, the thruput will be limited

by a maximum allowable pressure drop due to pressure ratio limits at the compressor

station downstream. By decreasing the pipe’s internal surface roughness, a higher

thruput can be obtained without increasing the pressure drop.

The amount of additional thruput available will depend on the line’s diameter, pressure

range, original roughness, and how much the interior surface roughness is improved.

Two typical cases are shown in Figures 2 and 3. These curves represent the results from

pigging operations in two valve sections of the XYZ Line. The field data used to create

these graphs are shown in Tables 1 and 2. The original pipeline roughness is indicated by

the dashed line labeled “Before Pigging”. Other measured roughness is given for 3

months after pigging and 5 months after pigging. As shown, pipeline revenue is a

function of thruput. It is clear that thruput is drastically reduced in the first three months

of operation due to black powder contamination and other factors.

The bottom curves show a projected thruput versus effective surface roughness for the

same pressure drop measured in the before-pigging test. The top curves represent

revenues in sales versus roughness, assuming all additional thruput could be sold. Note

that the lines tend to revert back with time to a higher surface roughness and reduced

flow efficiency. Additional piggings or other measures will be required to maintain

optimization of system operation in this pipeline.

10

Efficiency Savings

Figures 4 and 5 represent surface roughness studies on two additional large diameter

pipelines (Lines AAA and BBB), each with 60 mile plus in length pipeline-combined

valve sections. These figures illustrate the effect of pipeline roughness on the pipeline

downstream pressure and the downstream station fuel cost. The field data used to

generate Figures 4 and 5 are shown in Tables 3 and 4.

With fixed thruput and pipeline upstream pressure, a pipeline section can achieve a

higher downstream pressure by decreasing the surface roughness of the pipe 9,18 .

A higher suction pressure (therefore, a lower compression ratio) will result in a lower fuel

cost at the downstream compressor station. The amount of fuel savings depends on the

degree of the roughness improvement. It is important to note that there will exist a

roughness value beyond the point of which the downstream compressor station will not

be able to compress the gas to the desired discharge pressure (i.e. station compression

ratio is too high). This can constitute a serious problem to a pipeline system. The mixed

effect of the lower discharge pressure and the higher line pressure drop, resulting from

too high a pipeline roughness, can cause a chain reaction in the pipeline system to a point

that the system will no longer deliver the gas at the desired pressure.

Surface Roughness Parameters

Table V utilizes the results from the actual tests on the XYZ Line to illustrate typical

variations in thruput for various degrees of line surface improvement. An ideal

roughness of 500 micro-inches could possibly be obtained from a thorough and complete

pigging operation on internally bare steel pipe19. In order to obtain this roughness, many

consecutive brush and scraper pigs would have to be run. On the XYZ Line, only a few

pigs were run, thus the resulting roughness was somewhat higher. For an internally

coated pipeline, an ideal roughness of 200 micro-inches could possibly be obtained. The

smooth internally coated surface would experience over time less contamination build-up

(drag). On a recently pigged internally bare steel pipeline, regularly scheduled pigging

will be required in order to maintain a minimal roughness; whereas, on an internally

coated (smooth) line, regular pigging will probably not be necessary. A company savings

in manpower, fuel savings (compressor horsepower) and pig-corrected pipeline flow

restrictions can be realized in an internally coated pipeline.

Table VI illustrates the variations in compressor fuel utilization that could theoretically be

attributed to a change in the surface roughness of the AAA and BBB pipelines. The

values given in Tables V and VI apply only to those valve sections. As the surface

roughness in each valve section decreases, the thruput variation values (Table V), and the

fuel consumption variation values decrease (Table VI). While they are somewhat

representative of the other valve sections on the pipeline system, each section must be

evaluated independently in order to determine the actual effects of pipeline internal

surface improvement.

11

Guidelines for Pipeline Flow Efficiency Application

Table VII is a pipeline flow efficiency questionnaire designed to aid field engineering

personnel in acquiring pertinent field data. The data will be useful in determining current

flowing pipeline efficiency, as well as, to assist in improving future pipeline

performance.

Conclusion

The most accurate approach for evaluating a pipeline’s performance involves defining its

surface roughness, transmission factor, and pipeline efficiency. All three factors can be

used to reflect the increase or decrease in pipeline hydraulics as it relates to operating

costs. But, these numbers are not self-explanatory and they do require some analysis to

determine their meaning. The term “efficiencies”, or adjustment factors, have been

applied to these transmission line flow equations in the past to compensate for

discrepancies.

Field data has shown that these efficiencies must be determined to correlate predicted gas

equation behavior to agree with flow data. Based on the effects of velocities,

compression, inclinations, pressures and surface roughness associated with the gas being

transmitted through the pipeline system, emphasis must be placed on the point to point

determination of resultant pressure drops as it relates to flow efficiency.

With expanded emphasis on maintaining the integrity of the world’s aging pipeline

infrastructure, as well as, emphasis on pipeline efficiency relating to transmission

company profits for shareholders, pipeline engineers may use the presented field studies

on which to model their pipeline system flow optimization programs.

A rigorous design of an offshore pipeline subject to simultaneous flow of gas and liquid

must use a multi-phase flow correlation in order to account for all the important variables

in the pipeline system.

12

Nomenclature

qsc= gas rate at Tsc, Psc

P1 = upstream Pressure

P2 = downstream Pressure

P = absolute pressure

Psc= pressure, standard conditions

Tm= mean absolute temperature of line

Tsc= temperature, standard conditions

Tg = ground temperature

d = inside diameter of pipe

L = pipe length

= viscosity

g = gas specific gravity ( Air= 1.0)

S = gas specific gravity ( Air= 1.0)

Zm= mean compressibility factor

ff = friction factor, dimensionless

E = pipeline efficiency

Re = Reynolds number

K = constant dependent on units used in table

1/f = transmission factor

= pipe absolute surface roughness

D=inside diameter of pipe

scf/d

psia

psia

psia

psia oR oR oR

in.

mile

lb./ft-s

--

--

--

--

--

--

--

--

ft

ft

References

1. Katz, D.L. et al.: Handbook of Natural Gas Engineering, McGraw-Hill Book Co.,

New York City (1959) 625.

2. Arnold, K.E.: API RP 14E - “Recommended Practice for Design and Installation of

Offshore Production Platform Piping Systems” Paragon Engineering Services, Inc.,

NACE Gulf Coast Corrosion Control Seminar, Houston, Texas, 1995.

3. Klohn, C.H.: “Flow Test on Internally In-Place Coated Pipe” Pipeline Industry, July

1959.

4. T. R. Weymouth, Transactions of the American Society of Mechanical Engineers,

Vol. 34, 1912.

5. Campbell, John M.: “Gas Conditioning and Processing”, Norman, Oklahoma, 1969.

6. Gas Processors Suppliers Association, Engineering Data Book, Volume II.

13

7. Moody L., Friction Factors for Pipe Flow, Trans. ASME, 66, 1944.

8. Farshad, F., Rieke, H., and Garber, J.: “New Developments in Surface Roughness

Measurements, Characterization, and Modeling Fluid Flow in Pipe,” Journal of

Petroleum Science and Engineering (2001) 29, No. 2, 139.

9. Farshad, F., and Garber, J.D.: “Relative Roughness Chart for Internally Coated Pipes

(OCTG),” paper SP 56587 presented at the 1999 54th SPE Ann. Fall Tech. Conf.

Exhibit., Houston, Texas.

10. Farshad, F., Pesacreta, T.C., Bikki, S.R., and Davis, D.: “Surface Roughness in

Internally Coated Pipes (OCTG),” paper OTC/SPE 11059 presented at the 1999 Ann.

Offhsore Tech. Conf. Exhibit., Houston, Texas.

.

11. Craig, B.D.: Practical Oilfield Metallurgy and Corrosion. 2nd Edition, Pennwell

Books Co. Inc., Tulsa, OK, 258 pp.

12. C. F. Colebrook, “Turbulent Flow in Pipes with Particular Reference to the Transition

Region Between the Smooth and Rough Pipe Laws”, J. Inst. Civil Engineers, London,

1939.

13. Flanigan, O.: “Effect of Uphill Flow on Pressure Drop in Design of Two-Phase

Gathering Systems” Oil and Gas Journal, March 10, 1958, pp. 132-141.

14. Baker, O., et al.: “Gas-Liquid Flow in Pipelines, II. Design Manual” AGA-API

Project NX-28, October, 1970.

15. Beggs, H.D., Brill, J.P., 1973.: “A Study of Two-Phase Flow in Inclined Pipes”

J. Pet. Technol. 25, 607-617.

16. Winters, R.H.: “The Black Powder Problem in Gas Pipelines” presented at the 2002

Pipeline Pigging, Integrity Assessment, and Repair Conference, Houston, Texas.

17. Choate, L.C., Unpublished Research, “Discussion of Transmission Factor Surface

Roughness and Pipeline Efficiency as Related to Research Findings and Verified

Under Actual Field Conditions”, Huntsville, Texas, 2001.

18. Rauschenberger, R.R., “Chemical Pigging Boosts Results” Gas Utility and Pipeline

Industry, November 1999, p. 28.

19. Choate, L.C., “Developing and Advancing the State-of-the-Art Technology of the In-

Situ Internal Cleaning and Coating of Oil & Gas Pipelines” CORROSION/2001,

Houston, Texas, Paper #01612

14

Table I

Pipeline Valve Section XYZ-1 to XYZ-2

Upstream Pressure, PSIG

Downstream Pressure, PSIG

Upstream Temperature, 0F

Downstream Temperature, 0F

Upstream Elevation, Feet

Downstream Elevation, Feet

Pipe diameter, Inches

Pipe Length, Miles

Gas Gravity (Air=1)

January 1993 Roughness Micro-inches

December 1993 Roughness Micro-inches

February 1994 Roughness Micro-inches

Original Thruput, MMCFD

December 1993 Projected Thruput, MMCFD

December 1993 Thruput Increase, %

February 1994 Projected Thruput, MMCFD

February 1994 Thruput Increase, %

1011

861

75

51

1787

1358

23.25

19.110

0.577

4796

1413

2383

469.9

528.5

12.5

503.4

7.1

15

Table II

Pipeline Valve Section XYZ-3 to XYZ-4

Upstream Pressure, PSIG

Downstream Pressure, PSIG

Upstream Temperature, 0F

Downstream Temperature, 0F

Upstream Elevation, Feet

Downstream Elevation, Feet

Pipe diameter, Inches

Pipe Length, Miles

Gas Gravity (Air=1)

January 1993 Roughness Micro-inches

December 1993 Roughness Micro-inches

February 1994 Roughness Micro-inches

Original Thruput, MMCFD

December 1993 Projected Thruput, MMCFD

December 1993 Thruput Increase, %

February 1994 Projected Thruput, MMCFD

February 1994 Thruput Increase, %

1027

933

68

54

1308

1445

23.25

15.238

0.577

3831

1600

2052

469.9

528.5

12.5

503.4

7.1

16

Table III

Pipeline Valve Section AAA-1 to AAA-2*

Date

Station AAA-1 Discharge pressure, PSIG

Station AAA-2 Suction Pressure, PSIG

Station AAA-2 Discharge Pressure, PSIG

Upstream Temperature, 0F

Downstream Temperature, 0F

Upstream Elevation, Feet

Downstream Elevation, Feet

Pipe Diameter, Inches

Pipe Length, Miles

Gas gravity (air=1)

Thruput, MMCFD

April 12th, 1994

865

606

793

114

65

218

635

29.25

64.06

0.572

1667.1

* Estimated Station AAA-2 Fuel Rate:

(at constant thruput)

)1(54.32 21875.0 ratioThruputMCF

FuelCF

where Ratio is station compression ratio.

17

Table IV

Pipeline Valve Section AAA-1 to AAA-2*

Date

Station BBB-1 Discharge pressure, PSIG

Station BBB-2 Suction Pressure, PSIG

Station BBB-2 Discharge Pressure, PSIG

Upstream Temperature, 0F

Downstream Temperature, 0F

Upstream Elevation, Feet

Downstream Elevation, Feet

Pipe Diameter, Inches

Pipe Length, Miles

Gas gravity (air=1)

Thruput, MMCFD

January 31st, 1992

819

615

820

114

54

235

390

29.25

62.82

0.572

562.637

* Estimated Station AAA-2 Fuel Rate:

(at constant thruput)

)1(83.44 21875.0 ratioThruputMCF

FuelCF

where Ratio is station compression ratio.

18

Table V

Roughness

(Micro Inches)

Thruput

(MMSCFD)

Thruput

Variation

(%)

Pipe Line Section

XYZ-1 to XYZ-2

Base Condition

Assumed Conditions

4796

2000

1500

500

200

469.9

511.7

525.8

578.4

622.1

--

+8.9

+11.9

+23.1

+32.4

Pipe Line Section

XYX-3 to XYZ-4

Base Condition

Assumed Conditions

3831

2000

1500

500

200

416.9

444.0

455.7

501.5

539.5

--

+6.5

+9.3

+20.3

+29.4

19

Table VI

Roughness

(Micro Inches)

Thruput

(MMSCFD)

Fuel

Consumption*

Variation (%)

Pipe Line Section

AAA-1 to AAA-2

Base Condition

Assumed Conditions

700

2000

1500

500

200

7929

11143

10111

7156

5462

--

+40.5

+27.5

-9.7

-31.1

Pipe Line Section

BBB-3 to BBB-4

Base Condition

Assumed Conditions

700

2000

1500

500

200

5946

7906

7264

5492

4516

--

+33.0

+22.2

-7.6

-24.1

Thruput on AAA line is 1667.1 MMSCFD

Thruput on BBB line is 562.6 MMSCFD

* The negative fuel consumption values represents fuel savings.

20

Table VII GAS PIPELINE FLOW EFFICIENCY QUESTIONAIRE

The following information should be supplied by field personnel on the actual parameters

affecting the segment of gas pipeline under study for flow efficiency.

Company: _______________________________________ Date: ______________

Company Address: _____________________________________________________

Pipeline Identification (Location): _________________________________________

Contact/Operator: ______________________________________________________

Phone: _________________________ E-mail: _____________________________

Type of Product: __________________________ Specific Gravity: ____________

Flow Rate: ________________ (SCF/D) Standard Temperature: ___________ (F)

Standard Pressure: __________ (psig) Velocity: ______________ (feet per second)

Commercial steel pipe (Manufacturer): _______________________Age: _____ (yrs.)

O.D. ______ (in.) I.D. _____ (in.) Wall thickness: _________________ (in.)

Segment Length under study: _________________________________(miles)

(i.e., distance in miles between beginning and end of segment)

Piggable: Yes ( ) No ( )

Upstream compressor station: Suction pressure: ___ psi Discharge pressure: ___ psi

Downstream comp. station: Suction press: _____ psi Discharge pressure: _____ psi

Pipeline Inlet Temperature: _______F Pipeline Outlet Temperature: _______F

Any internal corrosion or leak history? (I.D. surface roughness question) __________

_____________________________________________________________________.

Type of efficiency problem (if known):

a.) Low flow ______

b.) Solids _________

c.) Sludge ________

d.) Scale _________

e.) Filtration ______

f.) Paraffin _______

g.) Other _______________________________

21

Figure 1 A. Pipe Roughness after Moody1

22

Figure 1 B. Friction factor Chart after Moody1

23

Figure 2. Comparison of relative roughness plots for internally coated pipes,

commercial steel, and drawn tubing

0.000001

0.00001

0.0001

0.001

0.01

1 10 100

Diameter, D(inches)

Rela

tive r

ou

ghn

ess, e/D

Commercial Steel ( after Moody)

Internally coated (after Farshad et al.)

Draw n Tubing (after Moody)