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    GAS FIELD ENGINEERING

    Gas Gathering and Transportation

    1

    CONTENTS

    3.1 Introduction

    3.2 Pipeline Design

    3.3 Reynolds Number

    3.4 Relative Roughness

    3.5 Friction Factors3.6 Pipeline Equations (Weymouth, Panhandle, Modified

    Panhandle, Clinedist )

    3.7 Series, Parallel, and Looped Lines

    2

    LESSON LEARNING OUTCOME

    At the end of the session, students should be able to:

    Apply pipeline flow equations

    Design gas transportation, gathering, and distribution

    systems.

    3

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    3.1 INTRODUCTION

    Transmission of natural gas to consumer be divided into threedistinct pipeline units: gathering system, main trunk linetransportation system, and distribution system.

    Focuses on design and operation of natural gas pipelines inonshore and offshore gas fields.

    4

    3.2 Pipeline Design

    Factors to be considered in the design of long-distance gas

    pipe-lines.

    the volume and composition of the gas to be transmitted,

    the length of the line

    the type of terrain to be crossed

    maximum elevation of the route

    Note: Pipe line must be larger to accommodate the greater

    volume of gas.

    5

    3.2 Pipeline Design

    Several designs are usually made so that the economical one

    can be selected.

    Maximum capacity of a pipeline is limited by higher

    transmission pressures and strong materials.

    For economic operation, better to preserve full pipeline

    utilization.

    6

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    3.2.1 Sizing Pipelines

    Capacity of gas transmission is controlled mainly by its size.

    Complex equations have been developed for sizing natural

    gas pipelines in various flow conditions.

    oThe Weymouth equation

    oThe Panhandle equation

    oThe Modified-Panhandle equation

    By using these equations, various combinations of pipe

    diameterand wall thickness for a desired rate of gas

    throughout can be calculated.

    7

    3.3 Friction Factor

    Friction losses:

    o Internal losses due to viscosity effects

    o losses due to the roughness of the inner wall of the

    pipeline

    Friction factor is a function of the Reynolds number and of

    the relative roughness of pipe.

    NRe = Reynolds Number

    e = absolute roughness of pipe

    D = diameter of pipe

    f =f (NRe, eD)

    8

    Equation that relates lost work per unit length of pipe and

    the flow variables is

    3.3 Friction Factor

    9

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    Reynolds Number

    Reynolds number (NRe) is defined as the ratio of fluid

    momentum force to viscous shear force.

    The Reynolds number can be expressed as a dimensionlessgroup defined as

    10

    Reynolds Number

    Reynolds numberis used as a parameterto distinguish

    between flow regimes.

    Flow Type NRe, smooth pipes

    Laminar

    Critical

    TransitionTurbulent

    < 2000

    2000 3000

    3000 -4000> 4000

    11

    Reynolds Number

    For all practical purposes, the Reynolds number for

    natural gas flow problems may be expressed as

    12

    (11.8)

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    Relative Roughness

    From a microscopic sense, wall roughness is not uniform,

    and thus the distance from the peaks to valleys on the wall

    surface will vary greatly.

    This is measured in terms of absolute roughness,

    13

    Relative Roughness

    eD, is defined as the ratio of the absolute roughness to the

    pipe internal diameter:

    and Dhave the same unit.

    If roughness not known, take =0.0006

    14

    (11.9)

    Absolute RoughnessTy pe o f P ip e (in.)

    Aluminiun pipe 0.0002

    Plastic-lined pipe 0.0002- 0.0003

    Commercial steel or wrought iron 0.0018

    Asphalted cast iron 0.0048

    Galvanized iron 0.006

    Cast iron 0.0102

    Cement-lined 0.012-0.12

    Riveted steel 0.036-0.36

    Commonly used well tubing and line pipe

    New pipe 0.0005-0.0007

    12-months old 0.0015024-months old 0.00175

    .

    15

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    3.4 Equation for Friction Factor

    Figure is a Moody friction factor chart log-log graph of

    (logf) versus (log NRe).

    16

    Laminar Single-Phase Flow

    Friction factor for laminar flow can be determined

    analytically.

    17

    (11.11)

    (11.12)

    Turbulent Single-Phase Flow

    Out of a number of empirical correlations for friction factors

    are available, only the most accurate ones are presented.

    Forsmooth wall pipes in the turbulent flow region.

    Valid over a wide range of Reynolds numbers

    18

    (11.13)

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    Turbulent Single-Phase Flow

    Forrough pipes fully developed turbulent flow :

    Nikuradses Correlation

    19

    (11.14)

    Note: Velocity profile and pressure gradient are very sensitive to pipe

    roughness.

    Turbulent Single-Phase Flow

    Colebrook equation

    Jain equation

    20

    Jain presented an explicit correlation for friction factor.

    (11.15)

    (11.16)

    Applicable to smooth pipes and transition and fully turbulent flow.

    Eqn is not explicit in friction factor f. Use Newton-Raphson I terat ion.

    Pipeline Equations

    Weymouth equation

    Panhandle equation

    Modified Panhandle equation

    Clinedist equation

    Weymouth equation is preferred forsmaller-diameterlines

    (D < 15 in).

    Panhandle equation and the Modified Panhandle equationare betterforlarger-sized lines.

    21

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    Weymouth Equation for Horizontal Flow

    Basic pipeline flow equation for steady state horizontal flow

    where unit of gas flow rate is in scfh(standard cubic feet/hour)

    is:

    where qh = scf/hr

    22

    (11.22)

    (11.24)

    Weymouth Equation for Horizontal Flow

    23

    Variables in horizontal pipeline flow equation are;

    L = length of pipe (mile)

    D = Diameter of pipe(in.)

    P1 = upstream pressure(psia)

    P2 = downstream pressure(psia)z = compressibility factor

    Tb = base temperature(R)

    Pb = base pressure (R)

    Weymouth Equation for Horizontal Flow

    24

    When applying the above Eqn (11.22), trial and error

    calculation procedure is needed.

    To eliminate trial and error calculation, Weymouth proposed

    that f varies as a function of diameter in inches as follows:

    (11.25)

    With this simplification, Eqn (11.22) reduces to

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    Weymouth Equation for Horizontal Flow

    where qh= scf/hr

    This form of the Weymouth equation commonly used in the natural gas industry.

    D = pipe internal diameter, in

    L = Length of pipe, mile

    25

    (11.26)

    With this simplification, Eqn(11.22 reduces to

    Eqn (11.22) Basic equation, needs trail & error

    Weymouth equation

    Weymouth Equation for Horizontal Flow

    Assumptions for use of the Weymouth equation including

    no mechanical work,

    steady flow,

    isothermal flow,

    Constant compressibility factor, horizontal flow,

    and no kinetic energy

    change.

    These assumptions can affect accuracy of calculation results.

    26

    Example (1 )For the following data given for a horizontal pipeline, predict gas

    flow rate in cubic ft/hrthrough the pipeline.

    The problem can be solved using (a)Equation (11.22) with the

    trial-and-error method for friction factor, and (b) Weymouth

    equation without the Reynolds number-dependent friction

    factor(Eqn 11.26).

    Solution

    27

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    Example (1 )

    The average pressure is:

    28

    Relative roughness:

    A. Trial-and-Error Calculation:

    First Trial :

    29

    (11.24)

    By applying Jain Equation,

    (11.16)

    30

    (11.16)

    By applying Eqn(11.22)

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    Second Trial :

    31

    (11.22)

    (11.24)

    (11.16)

    Third Trial :

    32

    (11.22)

    (11.24)

    (11.16)

    which is close to the previous assumed 1,186,759 cfh

    B. Using the Weymouth equation:

    33

    (11.26)

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    34

    For the following data given for a horizontal pipeline, predict

    gas flow rate in ft3/hr through the pipeline by applying

    example(1) with trial and error method for friction factor

    calculation , and (2) Weymouth Equation(11.26).

    Diameter of pipeline = 16 in

    Length = 190 miles

    Average temperature = 80 deg F

    Specific g ravity o f gas = 0.63Upstream pressure = 1 050-psia

    Downst reampressure = 430-ps ia

    Absolute roughness of pipe= 0.0006-in

    Standard t emperature = 60 d eg F

    Standard pressure = 14.7 psia

    Average z factor = 0.8533

    Viscosity of gas = 0.0097

    Tolerance limit = 1500

    Quiz (3)

    Panhandle A Equation-Horizontal Flow

    35

    (11.37)

    Panhandle A equation assumes the following Reynolds

    number dependent friction factor:

    Panhandle A Equation-Horizontal Flow

    Then pipeline flow equation is:

    where qis the gas flow rate in cfd measured at Tband pb, and

    other terms are the same as in the Weymouth equation.

    36

    (11.38)

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    Panhandle B Equation-Horizontal Flow

    (Modified Panhandle)

    Panhandle B equation is most widely used one for long

    transmission and delivery lines, it assumes that f varies as

    q = gas flow rate (cfd)Units are same as in Panhandle A eqn:

    37

    (11.39)

    (11.40)

    Then it takes the form,

    Clinedinst Equation-Horizontal Flow

    Considers the deviation of natural gas from ideal gas through

    integration. It takes the following form:

    38

    (11.41)

    Empirical Pipeline Equation

    A general non-iterative pipeline flow equation is written as

    q in cfd

    The values of the constants are given in Table for the different

    pipeline flow equations.

    Table Constants for Empirical Pipeline Flow Equations 39

    (11.42)

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    Pipeline Efficiency

    40

    E in the equation denotes Pipeline Efficiency Factor

    Pipeline flow equations are developed for 100% efficient

    condition

    In real case, water, condensate, scale etc in the line E represents the actual flow rate as a fraction of theoretical

    flow rate

    E ~ 0.85 0.95 represent a clean line

    Some Typical Values for E is shown in the Table

    Series, Parallel, and Looped Pipelines

    Pipelines in Series

    41

    Adding pressure drops for the three segments pipeline in series

    Wym Eqn

    Series, Parallel, and Looped Pipelines

    Pipelines in Series

    Consider a three-segment pipeline in a series of total length L

    depicted in Figure

    (1)

    (2)

    (3)

    42

    (11.43)

    (11.44)

    (11.45)

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    Series, Parallel, and Looped Pipelines

    Adding Eqns: (1), (2) and (3) gives

    (4)

    OR

    (5)

    Capacity of a single-diameter (D1) pipeline for the same

    pressure drop is expressed as:

    (6)

    43

    (11.46)

    (11.47)

    (11.48)

    Series, Parallel, and Looped Pipelines

    Dividing Equation (5) (11.47) by Equation (6) (11.48) yields:

    Figure (a)

    (11.49)

    Sketch of series pipeline

    44

    Series, Parallel, and Looped Pipelines

    Figure (b) Sketch of parallel pipeline

    45

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    Example (11.2 )

    Consider a 4-in pipeline that is 10 miles long. Assuming that the

    compression and delivery pressures will maintain unchanged,

    calculate gas capacity increases by using the following measures

    of improvement: (a) Replace three miles of the 4-in pipeline by a6-in pipeline segment; (b) Place a 6-in parallel pipeline to share

    gas transmission; and (c) Loop three miles of the 4-in pipeline

    with a 6-in pipeline segment.

    Solution

    (a) This problem can be solved with Equation (11.49)

    L = 10 mi

    L1 = 7 mi

    L2 = 3 mi

    49

    D1 = 4 in

    D2 = 6 in

    = 1.1668, or 16.68% increase in flow capacity

    (b) This problem can be solved with Equation (11.54)

    D1 = 4 in

    D2 = 6 in

    = 3.9483, or 294.83% increase in flow capacity

    50

    (c) This problem can be solved with Equation (11.61)

    L = 10 mi

    L1 = 3 mi

    L3 = 7 mi

    D1 = 4 in

    D2 = 6 in

    = 1.1791, or 17.91%

    increase in flow capacity

    51

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    QUIZZ(1)QUIZ(4)

    1. Your customer from Thailand Company PTTEP is

    currently buying 700 MMSCFD of gas from you. The

    company is mentioning that they want more gas to buy1200 MMSCFD by next year. The length of pipe line is

    500 miles from your gas field. It is impossible to install a

    new larger pipe line within one year. What is your

    opinion for solving this issue?. The important point is to

    meet their requirement gas volume.

    52

    QUIZZ(1)ASSIGNMENT 2

    1. Explain, in your words, the natural gas prices(up to 2013)

    and its scope in the oil and gas industry of Malaysia, and

    compare the results with other companies around the

    world, with references.

    2. What is the difference between Natural Gas and LNG?

    Explain the scope of LNG in Malaysia

    To be submitted individually not later than 28 Feb 2013

    5:00pm.

    53

    Thank You

    54

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    Q & A

    55