Top Banner

of 70

PE5623- Lecture 05- Natural Gas Hydrates.pdf

Feb 23, 2018

Download

Documents

Welcome message from author
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Transcript
  • 7/24/2019 PE5623- Lecture 05- Natural Gas Hydrates.pdf

    1/70

    Copyright 2003 by Faruk Civan 1

    Natural Gas Processing

    Dr. Faruk Civan, Ph. D.Professor, The University of Oklahoma

  • 7/24/2019 PE5623- Lecture 05- Natural Gas Hydrates.pdf

    2/70

    Copyright 2003 by Faruk Civan 2

    CopyrightsThis presentation contains copyrighted

    material as indicated in the attributions

    on individual slides, or by F. Civan

    2003. This material is provided insupport of class presentation and for no

    other use. Permission for any other

    use, duplication or distribution must be

    obtained from the copyright holder.

  • 7/24/2019 PE5623- Lecture 05- Natural Gas Hydrates.pdf

    3/70

    Copyright 2003 by Faruk Civan 3

    Important Notice All of Dr. Faruk Civans lecture

    notes, course syllabuses, handouts,

    homeworks, and exams are

    copyright material. They cannot be reproduced,

    recorded and copied in any way orform without the written permission

    from Dr. Faruk Civan. All rights

    reserved.

  • 7/24/2019 PE5623- Lecture 05- Natural Gas Hydrates.pdf

    4/70

    Copyright 2003 by Faruk Civan 4

    Natural GasHydrates

  • 7/24/2019 PE5623- Lecture 05- Natural Gas Hydrates.pdf

    5/70

    Copyright 2003 by Faruk Civan 5

    H2O Vapor Presence

    Critical values for water:

    Critical Pressure = 3,208 psia

    Critical Temperature = 705 oF

    Reservoir pressures are muchhigher, therefore, gases aresaturated with H

    2

    O vapor

  • 7/24/2019 PE5623- Lecture 05- Natural Gas Hydrates.pdf

    6/70

    Copyright 2003 by Faruk Civan 6

    Estimating Water

    Content

    oVapor-

    Pressure

    For H2O

    Temperature

  • 7/24/2019 PE5623- Lecture 05- Natural Gas Hydrates.pdf

    7/70

    Copyright 2003 by Faruk Civan 7

    Estimating Water

    ContentDaltons Law:

    Mole (Vol.) Fraction:

    H2O partial

    Pressure:T

    vap

    ww

    T

    ii

    n

    i

    iT

    P

    PY

    P

    PY

    PP

    =

    =

    = = 1

  • 7/24/2019 PE5623- Lecture 05- Natural Gas Hydrates.pdf

    8/70

    Copyright 2003 by Faruk Civan 8

    Estimating Water

    ContentIf the laboratory analysis shows the

    molar concentration of the species Yiin the dry gas analysis, then the

    corrected analysis for the water vaporsaturated gas can be obtained

    from the following equation:

  • 7/24/2019 PE5623- Lecture 05- Natural Gas Hydrates.pdf

    9/70

    Copyright 2003 by Faruk Civan 9

    Estimating Water

    Content

    ( ) ( ) ( )wLiCi YYY = 1

    Mole of dry

    gas/mole

    of saturated gas

    Mole of i/mole

    of dry gas

    (from lab)

    Mole of i/mole

    of saturated

    gas

  • 7/24/2019 PE5623- Lecture 05- Natural Gas Hydrates.pdf

    10/70

    Copyright 2003 by Faruk Civan 10

    Estimating Water

    ContentThus the water content of a gas is:( )

    ( ) ( )

    MMscf

    lbmW

    Y

    MYWor

    Y

    MYW

    SCF

    lbmole

    Wlbmole

    WlbmM

    gaslbmole

    Wlbmole

    Y

    YW

    HC

    w

    wwHC

    w

    wwHC

    w

    w

    wHC

    =

    =

    =

    =

    169.380

    10

    169.380

    9.380

    1

    _

    _

    _

    _

    1

    6

    Industrial Practice of reporting

    water content

    (Sales Gas Specification is 7 lbm/MMscf)

  • 7/24/2019 PE5623- Lecture 05- Natural Gas Hydrates.pdf

    11/70

    Copyright 2003 by Faruk Civan 11

    Estimating Water

    ContentLooking back to the previous equationand substituting the value of Y

    w

    ( ) 69.38010 6

    =

    =

    vapw

    w

    vap

    w

    HC

    T

    vap

    ww

    PP

    MPW

    P

    PY

  • 7/24/2019 PE5623- Lecture 05- Natural Gas Hydrates.pdf

    12/70

    Copyright 2003 by Faruk Civan 12

    Vapor-

    PressureFor H2O

    Temperature

    P1P2

    P3

    P4

    P1

  • 7/24/2019 PE5623- Lecture 05- Natural Gas Hydrates.pdf

    13/70

    Copyright 2003 by Faruk Civan 13

    W

    aterContent,lb/

    MMscf

    Temperature, T

    Pres

    sure(

    Isob

    ars)

    ,

    WHC!

    WHC2

    ps

    ia

    Mcketta and WeheChart

  • 7/24/2019 PE5623- Lecture 05- Natural Gas Hydrates.pdf

    14/70

    Copyright 2003 by Faruk Civan 14

    Most Common chart used in the

    processing industry

    This chart is for hydrocarbongases only

    It has been used in design since1958

    Source: GPSA Figure-20.3

    Mcketta and WeheChart

  • 7/24/2019 PE5623- Lecture 05- Natural Gas Hydrates.pdf

    15/70

    Copyright 2003 by Faruk Civan 15

    Estimating Water

    ContentHydrogen sulfide and carbon dioxideare very common contaminants innatural gas.

    Correction factors are applied tocorrect the water content estimation

    in natural gas

  • 7/24/2019 PE5623- Lecture 05- Natural Gas Hydrates.pdf

    16/70

    Copyright 2003 by Faruk Civan 16

    Estimating Water

    ContentGeneral Formula (GPSA):

    SHSHCOCOHCHCtotal WYWYWYW2222 ++=

    where, Y is the molar volumeconcentration and W is the water

    content in lbm/MMscf (read from

    charts)

  • 7/24/2019 PE5623- Lecture 05- Natural Gas Hydrates.pdf

    17/70

    Copyright 2003 by Faruk Civan 17

    Correction for CO2

    Source: GPSA Figure-20.9

    Isobars

    Temperature

    Effective

    Water

    Con

    tent,L

    b/MMscf

    o

  • 7/24/2019 PE5623- Lecture 05- Natural Gas Hydrates.pdf

    18/70

    Copyright 2003 by Faruk Civan 18

    Isobars

    TemperatureEffective

    Water

    Con

    tent,L

    b/MMscf

    Source: GPSA Figure-20.8

    o

    Correction for H2S

  • 7/24/2019 PE5623- Lecture 05- Natural Gas Hydrates.pdf

    19/70

    Copyright 2003 by Faruk Civan 19

    Hydrate As defined by GPSA: Hydrate is a

    physical combination of water andother small molecules to produce asolid which has an ice-likeappearance but possesses a

    different structure.

  • 7/24/2019 PE5623- Lecture 05- Natural Gas Hydrates.pdf

    20/70

    Copyright 2003 by Faruk Civan 20

    Hydrate

    Why hydrate is not desired ?Creates various transmissionproblems such as plugging:

    Pipeline Equipment

    Instrumentation

    and hence restricts the flow

  • 7/24/2019 PE5623- Lecture 05- Natural Gas Hydrates.pdf

    21/70

    Copyright 2003 by Faruk Civan 21

    HydrateWhen gas is produced to the surface,

    there are two hydrate inducing

    factors:

    Reduction in temperature

    Reduction in pressure

  • 7/24/2019 PE5623- Lecture 05- Natural Gas Hydrates.pdf

    22/70

    Copyright 2003 by Faruk Civan 22

    Hydrate

    SpecificGravity

    1.0

    HydrateFormation

    Pressure

    Temperature

  • 7/24/2019 PE5623- Lecture 05- Natural Gas Hydrates.pdf

    23/70

    Copyright 2003 by Faruk Civan 23

    PT Chart forHydrate Formation

    Metha

    ne

    0.6Sp

    .Gr.

    0.7

    0.8 Hydrate-Free

    RegionP

    ressure

    Source: GPSA Figure-20.15

    Temperature

  • 7/24/2019 PE5623- Lecture 05- Natural Gas Hydrates.pdf

    24/70

    Copyright 2003 by Faruk Civan 24

    Gas Expansion andJoule-Thomson EffectThe Joule-Thomson coefficient

    > 0, then P and T

    H

    JP

    T

    =

    < 0, then P and T

    Pi and

    Ti

    Pfand

    Tf

  • 7/24/2019 PE5623- Lecture 05- Natural Gas Hydrates.pdf

    25/70

    Copyright 2003 by Faruk Civan 25

    Hydrate Formation forcertain gravity gas

    Source: GPSA

    Figure-20.16

    Temperature

    o

    o

    Tinitial

    isotherm

    Tfinal

    isothermHydrateformation

    No

    hydrates

    Intersection

    with the 45o

    line gives the

    finaltemperature

    to be reached

    after

    expansionInitialPres

    sure

    Pinitial

    Final PressurePfinal

  • 7/24/2019 PE5623- Lecture 05- Natural Gas Hydrates.pdf

    26/70

    Copyright 2003 by Faruk Civan 26

    Example 2 Expansion /Hydrate FormationGiven:

    Initial P = 3000 psia, T=160 oF; and gas

    specific gravity is 0.7Required:

    What is the minimum pressure towhich the gas can be expanded

    without forming hydrate and to what

    temperature will the gas be cooled ?

    S

  • 7/24/2019 PE5623- Lecture 05- Natural Gas Hydrates.pdf

    27/70

    Copyright 2003 by Faruk Civan 27

    Example 2Temperature

    Final Pressure

    InitialPressure 160oF

    59o

    F

    158 psia

    Source:

    GPSA

    Figure-

    20.17

    SpecificGravity = 0.7

    3,000 psia

  • 7/24/2019 PE5623- Lecture 05- Natural Gas Hydrates.pdf

    28/70

    Copyright 2003 by Faruk Civan 28

    Example 2Given:

    A 0.7 gravity natural gas is saturatedwith water vapor at 150 oF and 3,000

    psia. This gas is expanded through achoke and its pressure is reduced to a

    pressure of 1000 psia.

    Required:Will hydrate be formed at the outlet of

    the choke?

  • 7/24/2019 PE5623- Lecture 05- Natural Gas Hydrates.pdf

    29/70

    Copyright 2003 by Faruk Civan 29

    Example 2 (Solution)Determine first the final temperaturefrom Mollier-Diagram

    Entropy, Btu/lbmoleoF

    Pressure, psia

    IsobarsEn

    thalpy

    Btu

    /lbmole

    Temperature, oF

    Isotherms

  • 7/24/2019 PE5623- Lecture 05- Natural Gas Hydrates.pdf

    30/70

    Copyright 2003 by Faruk Civan 30

    Example 2 (Solution)

    Second check the hydrate region

    No hydrate will be formed

    Metha

    ne

    0.6Sp

    .Gr.

    0.7

    0.8 Hydrate-Free

    Region

    Temperature

    P

    ressure

  • 7/24/2019 PE5623- Lecture 05- Natural Gas Hydrates.pdf

    31/70

    Copyright 2003 by Faruk Civan 31

    Vapor-SolidEquilibriumReference: SPE15306 and SPE 50749

    Solidhydrate

    Vapor

  • 7/24/2019 PE5623- Lecture 05- Natural Gas Hydrates.pdf

    32/70

    Copyright 2003 by Faruk Civan 32

    Vapor-SolidEquilibriumLet:

    Xi = Mole fraction of component i in

    the solid hydrate phase on a water-

    free (or dry) basis

    Yi = Mole fraction of component i in

    the vapor phase on a water-free (dry)

    basis

  • 7/24/2019 PE5623- Lecture 05- Natural Gas Hydrates.pdf

    33/70

    Copyright 2003 by Faruk Civan 33

    Vapor-Solid

    EquilibriumThe vapor-solid equilibrium ratio forspecies i is given by:

    ),( TPKXYK

    ii vs

    i

    ivs ==

    Similar to dew-point calculation, forthe first hydrate phase formed, it is true

    that

    ====

    11

    1),(

    1i vs

    i

    i i TPK

    YX

    i

  • 7/24/2019 PE5623- Lecture 05- Natural Gas Hydrates.pdf

    34/70

    Copyright 2003 by Faruk Civan 34

    Vapor-Solid

    EquilibriumApplication:

    yi is normally given or measured

    Solve for P if T is given, or Solve for T if P is given.

  • 7/24/2019 PE5623- Lecture 05- Natural Gas Hydrates.pdf

    35/70

    Copyright 2003 by Faruk Civan 35

    Vapor-SolidEquilibriumIso-bars

    IncreasingPressureX

    YK=

    Temperature

    Note: Each component has its own chart

  • 7/24/2019 PE5623- Lecture 05- Natural Gas Hydrates.pdf

    36/70

    Copyright 2003 by Faruk Civan 36

    Hydrate PreventionHydrate formation can be avoided by

    using the following methods:

    Operating outside the thermodynamic

    condition (P&T) of hydrate formation.This is done by adjusting the values of

    temperature and pressure

    Using dehydrating processes to

    remove free water

    Adding hydrates inhibitors

  • 7/24/2019 PE5623- Lecture 05- Natural Gas Hydrates.pdf

    37/70

    Copyright 2003 by Faruk Civan 37

    Kinetic Hydrate

    InhibitorsA polymeric material that delays thehydrate crystal growth

    N-vinylpyrrolidone

    N-vinylcaprolactam

    Saccarides

  • 7/24/2019 PE5623- Lecture 05- Natural Gas Hydrates.pdf

    38/70

    Copyright 2003 by Faruk Civan 38

    Anti-agglomerates forHydrate Inhibition

    Prevents agglomerations of hydrate

    crystals from growing into large

    size

    Alkyl aromatic sulphonate Quaternary ammonium salt

    Alkyl glycoside surfactant

  • 7/24/2019 PE5623- Lecture 05- Natural Gas Hydrates.pdf

    39/70

    Copyright 2003 by Faruk Civan 39

    ThermodynamicHydrate Inhibitors

    Methanol

    Ethanol

    Iso-propanol

    Ethylene glycol

    Propylene glycol

    Diethylene glycol

  • 7/24/2019 PE5623- Lecture 05- Natural Gas Hydrates.pdf

    40/70

    Copyright 2003 by Faruk Civan 40

    Controlling OperatingConditions

    a. Controlling hydrate temperature.

    b. Controlling of hydrate formationpressure.

  • 7/24/2019 PE5623- Lecture 05- Natural Gas Hydrates.pdf

    41/70

    Copyright 2003 by Faruk Civan 41

    Controlling hydrateformation temperatureKeeping gas above hydrate formation

    temperature.

    a. Heating the transmission line

    continuously by means of electricalheater. Temperature normally has

    limitation to protect pipeline integrity.

  • 7/24/2019 PE5623- Lecture 05- Natural Gas Hydrates.pdf

    42/70

    Copyright 2003 by Faruk Civan 42

    Controlling hydrateformation temperatureb. Heating can also be accomplished by

    an exothermic chemical reaction.

    NaNO2 + NH4NO3 N2 + 2H2O

    +NaNO3 + Heat

    Risk: N2 gas can overpressure the

    system

  • 7/24/2019 PE5623- Lecture 05- Natural Gas Hydrates.pdf

    43/70

    Copyright 2003 by Faruk Civan 43

    Controlling hydrateformation pressure

    Rapid pressure reduction causes

    overcooling and hydrate formation Lower the pressure gradually at

    isothermal conditions Avoid sudden pressure reduction

  • 7/24/2019 PE5623- Lecture 05- Natural Gas Hydrates.pdf

    44/70

    Copyright 2003 by Faruk Civan 44

    DehydrationProcessesRemove free water by two means:

    Using solid adsorbent

    Using liquid absorbent

    Detailed evaluation of dehydration

    processes will be discussed later.

  • 7/24/2019 PE5623- Lecture 05- Natural Gas Hydrates.pdf

    45/70

    Copyright 2003 by Faruk Civan 45

    Hydrates

    Inhibitors Salts Alcohols

    Ammonia

    Monoethanolamine

  • 7/24/2019 PE5623- Lecture 05- Natural Gas Hydrates.pdf

    46/70

    Copyright 2003 by Faruk Civan 46

    Salts InhibitorsAqueous solutions salts are:

    Electrolytes are very effective

    inhibitors. These prevent formation of lattice

    around the gas molecules.

    Salts also cause corrosion.

  • 7/24/2019 PE5623- Lecture 05- Natural Gas Hydrates.pdf

    47/70

    Copyright 2003 by Faruk Civan 47

    Salts InhibitorsChlorides: Effectiveness sequenceAl+3 > Mg+2 > Ca+2 > Na+ > K+

    AlCl3 MgCl2 CaCl2 NaCl KCl

    Preferred because of low cost

    Sulfates: Na2SO4, MgSO4, Al(SO4)3

    Phosphates: Na3PO4

  • 7/24/2019 PE5623- Lecture 05- Natural Gas Hydrates.pdf

    48/70

    Copyright 2003 by Faruk Civan 48

    Alcohols InhibitorsTypes:

    Glycol base (Ethylene glycol is the

    preferred)

    Methanol base

  • 7/24/2019 PE5623- Lecture 05- Natural Gas Hydrates.pdf

    49/70

    Copyright 2003 by Faruk Civan 49

    Alcohols

    InhibitorsApplications for cryogenicprocesses:

    Methanol amine is preferred

    because the glycol viscositymakes separation difficult at

    cryogenic conditions.

  • 7/24/2019 PE5623- Lecture 05- Natural Gas Hydrates.pdf

    50/70

    Copyright 2003 by Faruk Civan 50

    Alcohols

    InhibitorsApplications for non-cryogenicconditions:

    Glycol is desired because of low

    cost.

    Ethylene glycol is also used as a

    car antifreeze.

  • 7/24/2019 PE5623- Lecture 05- Natural Gas Hydrates.pdf

    51/70

    Copyright 2003 by Faruk Civan 51

    Ammonia & Mono-Ethanol-Amine InhibitorsAmmonia: Very effective but has undesirable

    properties also. May cause corrosion problems

    Toxic

    Forms carbonates with CO2Monoethanolamine:

    Very effective

  • 7/24/2019 PE5623- Lecture 05- Natural Gas Hydrates.pdf

    52/70

    Copyright 2003 by Faruk Civan 52

    Hydrate

    Inhibitors EffectAlCl3

    C

    aCl2

    CH

    3OH

    EGor

    TEG

    Wt % inwater

    oT

  • 7/24/2019 PE5623- Lecture 05- Natural Gas Hydrates.pdf

    53/70

    Copyright 2003 by Faruk Civan 53

    Hydrate Inhibitor Effecton Hydrate Formation

    Temperature Depression

    Hammerschmidt (1939) equation:

    WW

    MKT

    w

    H

    =

    100

    Hydrate Inhibitor Effect

  • 7/24/2019 PE5623- Lecture 05- Natural Gas Hydrates.pdf

    54/70

    Copyright 2003 by Faruk Civan 54

    on Hydrate FormationTemperature Depression

    T = oF

    Mw = Inhibitor molecular weight

    lbm/lb-moleW = weight percent of inhibitor

    KH = Empirical factor 1,297 formethanol and 2,222 for ethylene

    glycol

  • 7/24/2019 PE5623- Lecture 05- Natural Gas Hydrates.pdf

    55/70

    Copyright 2003 by Faruk Civan 55

    ExerciseAnswer the following questions:

    1. What are the basic methods used in

    hydrate prevention?2. Describe the various methods

    available for prevention of hydrateformation and their operatingprinciples.

    3. List the primary hydrate inhibitors.

  • 7/24/2019 PE5623- Lecture 05- Natural Gas Hydrates.pdf

    56/70

    Copyright 2003 by Faruk Civan 56

    ExerciseEthylene glycol (C2H6O2) will be usedas a hydrate inhibitor at a 25 wt. %

    concentration in water. Answer the

    following questions:

    1. What is the molecular weight of ethyleneglycol?

    2.How much will the ethylene glycolsolution lower the temperature for

    hydrate formation?

  • 7/24/2019 PE5623- Lecture 05- Natural Gas Hydrates.pdf

    57/70

    Copyright 2003 by Faruk Civan 57

    ExerciseA reservoir contains a 0.65 specificgravity natural gas at 200 oF and4,000 psia conditions. The wellhead

    conditions are 130 oF and 2,000psia. The wellhead gas is expandedthrough a choke to reduce itspressure to 1,200 psia. Determine:

  • 7/24/2019 PE5623- Lecture 05- Natural Gas Hydrates.pdf

    58/70

    Copyright 2003 by Faruk Civan 58

    Exercise1. The amount of free water present

    in the fluid system entering thechoke.

    2. The amount of additional waterthat will be separated at the outletof the choke.

    3. Will hydrate be formed at theoutlet conditions of the choke?

  • 7/24/2019 PE5623- Lecture 05- Natural Gas Hydrates.pdf

    59/70

    Copyright 2003 by Faruk Civan 59

    ExerciseDevelopment and Demonstration of aHydrate Prediction Program.

    Carry out the following project basedon Paper SPE 15306, Hydrate

    Prediction on a Microcomputer byB.K. Berge, 1986. However, you canalso use other relevant references.

  • 7/24/2019 PE5623- Lecture 05- Natural Gas Hydrates.pdf

    60/70

    Copyright 2003 by Faruk Civan 60

    HydratePrediction Determine the mathematical

    equations leading to the model for

    hydrate prediction forcompositional and non-

    compositional gases in SPE 15306.Summarize the equations in a

    consistent unit system, such as SI

    or FPS.

  • 7/24/2019 PE5623- Lecture 05- Natural Gas Hydrates.pdf

    61/70

    Copyright 2003 by Faruk Civan 61

    Hydrate

    PredictionPresent the equations separatelyfor:(a) Compositional gases

    (b) Non-compositional gases

  • 7/24/2019 PE5623- Lecture 05- Natural Gas Hydrates.pdf

    62/70

    Copyright 2003 by Faruk Civan 62

    Hydrate

    Prediction Prepare a step-by-step

    computational algorithm required tocarry out calculations for hydrateprediction for compositional and

    non-compositional gases in alogically sequenced manner.

  • 7/24/2019 PE5623- Lecture 05- Natural Gas Hydrates.pdf

    63/70

    Copyright 2003 by Faruk Civan 63

    HydratePrediction Prepare an information flow chart to

    implement the above algorithm.

    Prepare a spreadsheet program to

    implement the above algorithm.

  • 7/24/2019 PE5623- Lecture 05- Natural Gas Hydrates.pdf

    64/70

    Copyright 2003 by Faruk Civan 64

    Hydrate

    Prediction Describe the capabilities of your

    program by presenting a list oftasks that it can perform.

  • 7/24/2019 PE5623- Lecture 05- Natural Gas Hydrates.pdf

    65/70

    Copyright 2003 by Faruk Civan 65

    Hydrate Prediction Carry out the following

    applications:(a) Prepare typical charts for

    vapor-solid ratios of various lighthydrocarbon components, similar

    to typical vapor-liquid equilibrium

    ratio charts for compositionalgases. You may present charts in 2-

    and 3-variables forms.

  • 7/24/2019 PE5623- Lecture 05- Natural Gas Hydrates.pdf

    66/70

    Copyright 2003 by Faruk Civan 66

    Hydrate

    Prediction(b) Prepare typical charts forhydrate prediction for non-compositional gases. You may

    present charts in 2- and 3-variablesforms.

  • 7/24/2019 PE5623- Lecture 05- Natural Gas Hydrates.pdf

    67/70

    Copyright 2003 by Faruk Civan 67

    HydratePrediction(c) Demonstrate several applications of

    your program using typical datasimilar to those presented in SPE15306. Decide and present

    representative applications, whichbest illustrate the capabilities ofyour program.

    Hydrate

  • 7/24/2019 PE5623- Lecture 05- Natural Gas Hydrates.pdf

    68/70

    Copyright 2003 by Faruk Civan 68

    Hydrate

    Prediction Submit a written report in the

    form of a technical paper by

    December 3, 2002 preparedaccording to the SPE papersubmission guidelines (see SPE

    web page for instructions).Present the details of calculationsand results in an appendix.

  • 7/24/2019 PE5623- Lecture 05- Natural Gas Hydrates.pdf

    69/70

    Copyright 2003 by Faruk Civan 69

    References K. Arnold and M. Stewart, Surface

    Production Operations- Design ofGas-handling Systems and Facilities,Second Ed., Volume 2, Gulf

    Publishing Company, 1999.

    Y.E. Makogan and S. A. Holditch,

    Experiments Illustrats Hydrate,Oil&Gas Journal, Feb. 12, 2001, pp.45-50.

  • 7/24/2019 PE5623- Lecture 05- Natural Gas Hydrates.pdf

    70/70

    Copyright 2003 by Faruk Civan 70

    References Y.E. Makogan and S. A. Holditch, Lab

    Work Clarifies Gas Hydrate, Oil&GasJournal, Feb. 5, 2001, pp. 47-52.

    Berge, B.K., Hydrate Predictions on a

    Microcomputer, SPE Paper 15306, SPESym. On Petroleum Industry Applicationsof Microcomputers held in Silver Creek,

    CO, June 18-20, 1986. SPE Paper 50749