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    DESIGN AND PERFORMANCE OF GAS LIQUID CYLINDRICAL CYCLONE

    SEPARATORS

    by

    Gene E. Kouba, Chevron Petroleum Technology Company

    Ovadia Shoham and Siamack Shirazi, The University of Tulsa

    Presented at the BHR Group 7th

    International Conference on Multiphase 95,

    Cannes, France, June 7-9, 1995

    ABSTRACT

    Current separation technology based on the conventional vessel-type separator is sev

    decades old. The vessel-type separator is large, heavy and expensive to purchase

    operate. Recently, the petroleum industry has shown interest in the developmen

    innovative alternatives to the conventional separator that are compact and low weight,have low capital and operational costs. One such alternative is the Gas Liquid Cylind

    Cyclone (GLCC) separator.

    Very few studies are available on the optimum design and performance of GLC

    Consequently, the sizing of GLCC's and estimation of the operational envelope are b

    on limited experience, without a high degree of confidence.

    This paper presents new experimental laboratory data and limited number of field dat

    the flow behavior and performance of the GLCC separator. Also, initial mechan

    models that describe the flow behavior in the GLCC are presented and compared with

    experimental data. These provide the state of the art for the design of GLCC's for

    industry.

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    INTRODUCTION

    The Petroleum Industry has relied heavily on the conventional vessel-type separ

    technology, which has not changed substantially over the last several deca

    Conventional separators are bulky, heavy and expensive in capital and operating c

    These limitations are felt most severely in offshore operations where platform costs

    escalating. The high costs associated with conventional separators have motivated

    Petroleum Industry to explore the development and application of alternative technolo

    such as compact separator systems.

    Development

    GLCCs

    FWKO

    Cyclones

    Emerging

    Gas Cyclones

    Conventional Horizontal and Vertical

    Separators

    Growth

    Finger StorageSlug Catcher

    Vessel Type

    Slug Catcher

    Maturity

    Time

    Fig. 1: S Curve for Development Ranking of Separation Technology

    Hydrocyclones

    Fig. 1 shows schematically the "S" curve for the developmental ranking of some o

    various separation technologies. As shown in the figure, conventional vessel-

    horizontal and vertical separators are very mature, with only minor improvements com

    from new developments of internal devices and control systems. Hydrocyclones

    cleanup of produced water are in the growth region. Although large diameter separare relatively mature, recent developments have given rise to an emerging class of ver

    separators known as Gas Liquid Cylindrical Cyclones (GLCC).

    The GLCC, shown in Fig. 2, is a simple, compact, low-cost separator that can be use

    an economically attractive alternative to the conventional separator. The wide varie

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    applications of GLCC's may have different performance requirements, varying from

    partial separation to a complete phase separation. Potential applications include: coof GLR for multiphase flow meters and pumps, portable well test metering, steam qu

    metering, flare gas scrubbing, primary surface or subsea separation and pre-separ

    upstream of slug catchers or primary separators.

    GAS-LIQUIDINTERFACE

    L

    Fig. 2: Gas Liquid Cylindrical Cyclone Configuration

    A representation of the available literature on cyclone separators and related phy

    phenomena is given in the bibliography section. A review of the literature reveals that

    little information is available about the optimum design and performance of GLC

    Furthermore, existing mathematical models of cyclone separators have been limite

    single phase flow with low concentration of a second dispersed phase. No reliable mo

    are available for cyclones (conical or cylindrical) that are capable of simulating full rang

    multiphase flows entering and separating in a cyclone. Moreover, no models are avail

    to account for the range of fluid properties that occur

    in the oil industry.

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    Despite the lack of performance information, GLCCs are beginning to attract s

    interest for numerous applications. Several cases of successful application of gas/licyclone separators were reported for multiphase separation, metering and pumping

    follows:

    Two studies carried out for British Petroleum by Davies and Watson8 and Da

    indicated size, cost and performance benefits (foam handling) of a modified cyclone ov

    conventional separator in offshore applications. This was confirmed by comparative

    conducted by Oranje20.

    In a different application, BHRG has developed a GLCC to control the gas liquid rati

    optimize efficiency of a multiphase pump19. Similarly, BHRG with AGIP are investiga

    using a GLCC in conjunction with multiphase meter for subsea metering applicatiGLCC's are also utilized for well testing meters (Paul Munroe Engineering; Sp

    Controls) and for limited range of gas/liquid separation such as for wet gas (Gasunie

    Natco; Porta-Test).

    Arco14has developed a GLCC with spiral vane internals. The GLCC was tested in Al

    and exhibited gas carryunder between 2% to 18%, depending on crude foamin

    Alternatives for level control were explored in lab tests by Kolpak14, including throt

    floats and throttling diaphragm valves operated by the vessel hydrostatic head. Fin

    sensitivity of the liquid level in the GLCC to the pressure drop in the liquid and gas

    was explored.

    A gas liquid cylindrical cyclone was considered by the Naval Weapons Lab4,5 to rem

    gas from electrolyte used in large batteries. The GLCC used for this purpose had

    tangential inlet and outlet. Bandopadhyay4found that the stability of the vortex co

    influenced by the rotational angle between the inlet and the outlet. Also, the optim

    angle for the most stable core was found to be function of liquid flow rate and GL

    geometry.

    The GLCC can also be very useful for small production or stripper well operations.

    application is the measurement of fluids for production allocation and reser

    management. Typically, a battery of wells are cycled through a test separator where

    and liquids are measured before transport. A metering system based on a simple com

    separator costs less and requires fewer control systems than a typical test separator.

    also expected to operate for long periods with little or no maintenance. Another impa

    compact separators in this case is to reduce the cycle time between well tests, as sm

    separators require less purge time. This translates into less down time for wells nee

    attention.

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    Chevron15has successfully built and operated several GLCC's for use in a low GOR

    metering applications. In Chevron's configuration, gas and liquid streams are separatea simple GLCC, metered by gas and liquid flow meters and recombined for trans

    Kouba15 found that simple improvements to the GLCC resulted in greatly incre

    performance of the tested prototype. Figure 3 shows a field prototype GLCC oper

    successfully by Chevron in the Fox Deese Springer field in southern Oklahoma.

    construction and installation cost for the field prototype have totaled about $2,500 api

    Fig. 3: Gas Liquid Cylindrical Cyclone Field Prototype

    The above examples demonstrate the applicability of the GLCC concept and

    pronounced impact it can have in the Petroleum Industry . However, the GLCC's in t

    applications were utilized without a complete understanding of the hydrodynamic

    behavior. Additional research and development are needed to produce models capab

    predicting the performance of GLCCs in different configurations and applications.

    design tools resulting from these models will not only allow more predictable and reli

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    implementation of GLCC's, but will also guide the way for additional de

    improvements. Realizing the potential of GLCC's and the need for more technodevelopment in this area, the Tulsa University Separation Technology Projects (TUS

    was formed. TUSTP focuses on collecting experimental laboratory and field data on

    performance of the GLCC and developing mathematical models for the prediction o

    hydrodynamic behavior of the flow in the GLCC.

    Fig. 4: Schematics of Chevrons Multiphase Metering Loop

    EXPERIMENTAL DATA

    One of the most enthusiastically explored applications of the GLCC is for gas separatio

    multiphase measurement system. Multiphase meters that measure the full stream

    without separation suffer from size and accuracy limitations in gas dominated flows.

    size of the multiphase meter can be kept small and measurement accuracy improve

    simply pre-separating most of the gas. It was recently observed21

    that many, if not m

    of the multiphase metering applications are, in fact, gas dominated and fall outside

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    operational envelope for a typical full stream multiphase meter. Also, it was reported

    the accuracy and range of application of such meters deteriorate for in-situ gas volfraction greater than 70%. In low gas flow applications, complete gas separation in

    GLCC allows use of conventional metering technology. Fig. 4 is a schematic of Chev

    multiphase metering loop, using a GLCC. A vortex shedding meter is used to measure

    gas flow, while the oil and water are measured simultaneously with a Coriolis based ne

    computer. The coriolis based net oil computer measures the total mass flow rate and

    mixture density. These measurements combined with the knowledge of the oil and w

    densities allow the determination of the water cut and the water and oil mass or vol

    flow rates16. This configuration requires more space than a full stream multiphase m

    but is significantly cheaper and potentially more accurate. Another advantage of

    configuration is that for a wide range of flow conditions no active liquid level con

    system is required. Initial testing have confirmed this concept and defined the operatenvelope for adequate (99%) gas/liquid separation, under limited operating conditions.

    Test data have been acquired on three laboratory metering loops, incorporating GLCC

    0.0254, 0.0508 and 0.0762 m I.D, respectively. The two smaller diameter GLCC's w

    built and tested by Kouba15, and the larger 0.0762 m GLCC was built by TUSTP2,12.

    5 shows the operational data obtained for three different 0.0508 m I.D. laboratory GL

    prototypes. The fluids used were air and water and the operating pressures w

    approximately 205, 308 and 446 kPa (absolute). The x and y axes represent the in-situ

    and liquid superficial velocities, respectively. The different data sets indicate the ons

    liquid carryover in the gas stream. The data were obtained by establishing a liquid

    rate and increasing the gas flow rate until the onset of liquid carryover was observed. mechanism for liquid carryover is generally churn flow, except for very high gas rates

    low liquid rates, where the liquid is carried over by mist flow. Therefore, the approp

    operating region for a complete gas/liquid separation lies to the left of the data points

    each lab prototype. The region to the right of each data set represents liquid carryove

    the corresponding GLCC prototype.

    The lower left data set was generated for a laboratory prototype GLCC with a tange

    inlet oriented perpendicular to the axis of the separator. This configuration is typica

    conventional vertical separators with a tangential inlet as commonly found in indu

    applications. The performance for this configuration suffers because the swirling li

    passes in front of the GLCC inlet, forcing gas to blow through and entrain liquid.

    result is that liquid is carried over at relatively low gas flow rates.

    The performance of the second single stage prototype is significantly improved by sim

    inclining the GLCC inlet downward. The downward inclined inlet promotes stratific

    and initial pre-separation of gas and liquid before entry into the GLCC. Kouba15obse

    that the optimum inclination angle of the inlet is approximately -27, which causes

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    swirling liquid to pass below the inlet, allowing the gas unobstructed passage into

    upper part of the GLCC. This resulted in more than a two-fold increase inperformance envelope, as shown in the figure.

    0.00

    0.20

    0.40

    0.60

    0.80

    1.00

    1.20

    0 5 10 15 20

    Superficial Gas Velocity (m/s)

    SuperficialLiquidVelocity(m/s)

    One Stage Perpendicular Inlet 308 kPa (abs)

    One Stage Inclined Inlet 336 kPa (abs)

    Two Stage Inclined Inlets 308 kPa (abs)

    Two Stage Inclined Inlets 205 kPa (abs)

    Fig. 5: Operational Envelope Defined by the Gas Capacity Limits to Avoid

    Configuration Pressure

    Theory, [Eq.(13)] 205 kPa (abs)

    Theory, [Eq.(13)] 308 kPa (abs)

    ////////// Region of field

    Liquid Carryover in a 0.0508 m I.D GLCC

    The third data set in Fig. 5 was obtained from a two stage configuration in which a sec

    GLCC was placed in series with the first one. In this configuration the gas outlet o

    first GLCC was connected to the inlet of the second GLCC. Liquid was carried overmist flow for the near vertical segment of the operational envelope. This is the ons

    annular mist flow, which represents the theoretical limit to the performance of the GL

    Data for the third set of runs were collected at 308 kPa (abs.). The effect of pressur

    the performance of the GLCC was studied by lowering the pressure in the GLCC.

    fourth set of data was taken at 205 kPa (abs.). Comparison between the third and fo

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    sets of data reveals that increase in the GLCC pressure results in a decrease of

    operational envelope. This indeed is the effect of pressure on the transition to annularflow, which is the mechanism for liquid carryover for high liquid loadings in the two-s

    GLCC. The data for low liquid loadings seem to indicate little advantage of two st

    over one stage under similar conditions.

    The shaded region in the lower left corner of Fig. 5 indicates the region where Chevr

    field prototypes have successfully operated. The boundaries for this region were b

    average flow rates. Instantaneous flow rates, i. e., superficial velocities were gene

    more than double the average rates.

    A critical parameter for the prediction of liquid carryover is the maximum allowable li

    holdup in the GLCC above the inlet, as a function of the gas velocity. Measurementhis liquid holdup were made for zero net liquid flow conditions in the upper region o

    GLCC. The GLCC was first filled with water and the liquid exit blocked. A low gas

    rate was then established, which initially removed part of the liquid from the upper re

    of the GLCC. This resulted in a special two phase flow above the inlet, where the

    flows through the liquid, but no liquid is carried over, i.e., zero net liquid flow conditio

    The experiments were repeated for increasing gas flow rates. Each gas flow rate resu

    in a unique maximum allowable liquid holdup which decreased as the gas flow

    increased, as shown in Fig. 6. The liquid holdup above the GLCC inlet is calculated a

    ratio of the liquid volume above the inlet to the volume of the GLCC from the inlet to

    highest point reached by the liquid. At the gas capacity limit prior to liquid carryoverhighest point that the liquid reaches is the GLCC gas exit. Gas flowing conditions

    under the capacity limit when the highest excursion point of the liquid falls below the

    exit.

    Two different methods were used to measure the volume of the liquid above the inlet.

    liquid volume was measured statically in the first method by simultaneously stopping

    gas flow and trapping the liquid in the GLCC. This method ignores the small amou

    gas entrained below the inlet. In the second method the differential pressure across

    GLCC was measured under flowing conditions and attributed entirely to the hydros

    head across the GLCC.

    The differential pressure was converted to an equivalent fluid column height, and the li

    holdup in the upper part of the GLCC was calculated based on the amount of liquid ab

    the inlet. As can be seen from Fig. 6, the two sets of data fall close together, which im

    that the assumptions made in the two methods are valid. These are: neglecting entra

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    gas below the inlet in the first method, and neglecting frictional pressure drop in

    second method.

    0

    0.2

    0.4

    0.6

    0.8

    1

    0 1 2 3 4 5 6

    Superficial Gas Velocity (m/s)

    LiquidHoldupinGLC

    CAboveInlet

    Gas flow, trapping (capacity)

    Gas flow, trapping (under capacity)

    Gas flow, pressure difference (capacity)

    Two-phase, pressure difference (under capacity)

    Fig. 6: Liquid Holdup Above GLCC Inlet vs. Superficial Gas Velocity

    The fourth set of data was obtained under flowing conditions for both gas and liquid.

    liquid holdup was measured by the second method. The close agreement between the

    sets indicate that the method is a reasonable means to obtain liquid holdup in the u

    part of the GLCC.

    MECHANISTIC MODELING

    The models presented in this section represent initial mechanistic models developed fo

    prediction of the hydrodynamic flow behavior in the GLCC. The models enable

    prediction of the equilibrium liquid level, bubble trajectory and onset of annular mist flo

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    Lg2

    Lg1

    LvcL in

    Leq

    P1

    L l2aLl2m

    Ll2b

    D2

    D1

    L l3

    P2

    Lg3

    D3

    GAS

    METER

    Fig. 7: Gas Liquid Cylindrical Cyclone Nomenclature for Mechanistic Model

    in the GLCC. The equilibrium liquid level and the onset of annular mist flow are ne

    for the prediction of liquid carryover. The bubble trajectory will enable the predictio

    gas carryunder. The mechanistic models are necessary to properly scale the results

    the laboratory experiments to field conditions. In particular the occurrence of slug

    which can be handled easily in the laboratory, might be a potential problem under

    conditions, where long slugs may occur in large diameter flowlines.

    Equilibrium Liquid LevelFor proper operation of a GLCC the liquid level should be maintained below the inle

    order to avoid gas blowing through the liquid phase and carrying liquid in the gas str

    Under static no-flow conditions, the liquid phase will have the same level in the GLCC

    in the recombination section. As the liquid flow increases, the liquid level in the G

    will rise up due to hydrostatic head gain needed to compensate for frictional losses in

    liquid section. For two phase flow the liquid level in the GLCC may be above or unde

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    inlet, depending on the operational conditions. Thus, it is essential to be able to predic

    liquid level in the GLCC.

    The proposed model determines the liquid level from a simple pressure balance betw

    the inlet and outlet of the GLCC. This simple model neglects any hydrodyn

    interactions between the gas and the liquid phases. Refer to Fig. 7 for the geomet

    parameters.

    The pressure drops in the liquid and gas sections are given, respectively, by

    ( ) ( ) P g L L g L Lf L

    D

    vl l l l g in l l

    l l l l = + +

    1 3 1

    1 1 1

    1

    2

    2

    P g L Lg g g g g= ( )3 1 (2

    where l and g are the frictional pressure losses in the liquid and gas secti

    respectively, as given by

    ll i i i

    i

    i i

    l

    f L v

    DK v= +

    2

    2 2

    g g i i ii

    i i

    g

    f L vD

    K v= +

    2

    2 2

    The first terms in the parentheses of Eqs. (3) and (4) represent the frictional losses in

    different pipe segments of the loop. Note that consistent with Eq. (1), the first term in

    (3) does not include the frictional losses in the GLCC itself. The second terms in

    parentheses represent the resistive losses such as through reductions and elbows .

    Equating the pressure drop in the liquid and gas sections, one can solve for the liquid l

    in the GLCC, as follows

    LgL g L L L

    gv f

    D

    l

    l g l l g in g g

    l g

    l l l1

    3 1 3

    1

    21

    12

    = + +

    ( )

    ( )

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    The prediction of Eq. (5) for the liquid level in the 0.0508 m lab GLCC prototype

    function of the operational conditions is presented in Fig. 8. As will be discussed laterequilibrium liquid level can be used for the prediction of liquid carryover in the GLCC.

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    -0.2

    0.0

    0.2

    0.4

    0.6

    0.8

    0.0 0.2 0.4 0.6 0.8 1.0

    Superficial Liquid Velocity ( m/s)

    LiquidLevelinGLCCwrtoutlet(m)

    vsg = 0.30 m/svsg = 3.0 m/s

    vsg = 6.1 m/s

    Fig. 8: Equilibrium Liquid Level for 0.0508 m I.D GLCC

    with Air - Water Flow

    Bubble Trajectory

    The swirl created below the GLCC inlet causes a radial separation of the gas and the li

    phases due to the buoyant and centrifugal forces acting on them. The liquid phase m

    towards the GLCC wall and the gas bubbles towards the centerline. Prediction of

    bubble trajectory can be used to determine the "fate" of the bubbles, i.e., whether

    bubbles are carried under with the liquid or caught in the updraft with the gas core. S

    of the bubbles will move radially inward sufficiently to merge with the gas core, and wi

    carried upwards in the gas stream. Other bubbles will not merge with the gas core but

    be carried by the liquid stream out of the GLCC.

    The radial motion of a gas bubble can be determined from a force balance on the bub

    In this simple model the forces acting on a bubble in the radial direction are the centrifu

    buoyant and drag forces. Equating these forces yields the radial velocity distribution

    gas bubble, as follows

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    ( ) ( )( ) ( )( )

    v rr v r

    r

    D

    Cd rr

    m g

    l

    t b= 43

    2

    where the mixture density distribution m(r) and the circumferential velocity distributio(r) are approximated, respectively, by

    ( ) m g l g s

    m

    r r

    R( ) = +

    v r v r

    Rt ts

    s

    n

    ( ) =

    (

    In Eqs. (7) and (8) r/Rs is the ratio of the radial location to the GLCC radius, and the v

    used for both the exponents m and n is 0.9.

    The drag coefficient proposed by Turton and Levenspiel10is used in this study, as follo

    ( )

    ( ) ( )( )

    Cd r

    r

    r r( )

    . Re

    Re

    .413

    , Re

    .

    .=

    +

    + +

    24 1 0 1730

    1 16 300

    0 657

    1 09 (

    where the Reynolds number is determined from

    ( )

    ( ) ( )

    Re r

    r v r Dm r b

    l

    =

    (

    For a short time increment dt, the differential distance traveled by the gas bubble in

    axial direction is

    dz

    dr

    v r vrz= ( ) (

    where vz is the axial liquid velocity in the GLCC. Thus, Eqs. (11) and (6) enable

    determination of the bubble trajectory, i. e. z(r). The total axial distance traveled by

    gas bubble in the GLCC is determined from the integration of Eq. (11), yielding

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    Z v

    v rdrt

    z

    rR

    r

    s

    =

    ( ) (

    Figure 9 shows the prediction of a 0.5 mm bubble trajectory in the 0.0508 m laboratory

    Fig. 9: Bubble Trajectory for Air-Water Flow in a 0.0508 m I.D GLCC

    -0.6

    -0.5

    -0.4

    -0.3

    -0.2

    -0.1

    0

    0.000 0.005 0.010 0.015 0.020 0.025 0.030

    Radial Distance From Wall (m)

    AxialDistanceFrom

    Inlet(m)

    Ga

    scoreboundary

    Centerline

    T = 27 deg. C

    qg = 1,700 sm^3/d

    Dc = 6.35 mm

    D = 0.0508 m

    ql = 63.6 m^3/d

    P = 345 kPa (abs.)

    Db = 0.5 mm

    GLCC operating with air and water. For these conditions, the GLCC length below

    inlet should be at least 0.4 m long in order to avoid gas carryunder.

    Onset of Annular Mist Flow

    The onset to annular mist flow represents the theoretical gas capacity limit to

    performance of the GLCC. Under these gas flow rates conditions the first fine drople

    liquid are atomized and carried over in the gas stream. The criterion for this transitio

    similar to the one suggested by Taitel et al.

    23

    for the transition boundary between sluannular flow in vertical pipes, as follows

    v Wea ml g

    g

    =

    2 3351

    2

    0 25

    .

    .

    (

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    Taitel et al.23 used a value of We=20 for large droplets encountered in the trans

    boundary between slug to annular flow. In this study a value of We=7 is used to reprethe fine droplets occurring in annular mist flow. As shown in Fig. 5, an exce

    agreement is obtained between the prediction of Eq. (13) and the experimental data fo

    high liquid loading region for the two sets of data.

    FUTURE WORK

    The models presented in this study provide qualitative guidance for GLCC de

    However, enhancements of these models are underway that will enable prediction of

    GLCC performance. For example, the proposed equilibrium liquid level model can pr

    the operational envelope (Fig. 5) for liquid carryover, if provided with the followingactual liquid holdup in the region above the GLCC inlet, and the maximum allowable li

    holdup prior to liquid carryover. The actual liquid holdup will be determined from

    prediction of the shape of the gas liquid interface, applying free vortex theory.

    maximum allowable liquid holdup will be predicted from zero net liquid flow analysi

    the gas region above the inlet. This is shown empirically in Fig. 6. The bubble trajec

    model will be improved to account for bubble swarm and turbulent diffusivity effects.

    Additional work being planned for this project include:

    1. Field testing of GLCC prototypes.

    2. Collection of laboratory and field data into a data bank.3. Investigate passive and active controls for the GLCC.

    5. Analyze response of the GLCC to severely fluctuating flows.

    6. Development of a dedicated multiphase multidimensional CFD simulator for

    GLCC.

    CONCLUSIONS

    GLCC's are finding a broad range of applications in the Petroleum Industry. Succe

    applications have been reported despite of lack of understanding of the optimum de

    and performance of the GLCC. Potential applications abound but are dependent up

    more complete understanding of the hydrodynamic behavior of the flow in the GLCC.

    New data and rudimentary models have been presented which are the building block

    the design tools that will allow better performance prediction and application of

    GLCC. The operational envelope developed in the laboratory prototype was found t

    exclusively governed by the liquid carryover in the gas stream. The operational env

    was found to be significantly enhanced by using an inclined inlet. Furthermore, using

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    GLCC's in series reached the theoretical performance limit due to the onset of annular

    flow. Mechanistic models were proposed for the prediction of the equilibrium liquid lbubble trajectory and onset of annular mist flow in the GLCC. Further enhancemen

    these model were discussed that will enable the prediction of the GLCC operati

    envelope.

    NOMENCLATURE

    Cd = drag coefficient

    D = diameter

    f = friction factor

    g = acceleration of gravityK = resistance coefficient for elbow or tee

    L = length

    m = mixture density exponent, m = 0.9

    n = tangential velocity exponent, n = 0.9

    q = volumetric flow rate

    r = radial coordinate

    Re = Reynolds Number

    Rs = radius of GLCC

    T = temperature

    v = velocity

    z = axial coordinateZt = axial distance

    We = Weber Number, We= 7

    P = pressure drop = frictional lossesl = liquid viscosity = density = surface tension

    Subscripts

    b = bubble

    c = core

    g = gas

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    l = liquid

    m = mixturer = radial

    s = slot

    t = tangential

    z = axial

    REFERENCES

    1. Arato, E.G., Barnes, N.D., "In-line Free Vortex Separator Used for

    Gas/Liquid Separation within a Novel Two-Phase Pumping System",

    Hydrocyclones - analysis and application. Editors: L. Svarovsky, M. T. Thew.Brookfield, VT: Kluwer-Academic (1992), pp. 377-396.

    2. Arpandi, I., "Gas Carryunder in Gas Liquid Cylindrical Cyclones Separators -

    Experiments and Modeling", M.S. Thesis in Progress, The University of Tulsa

    (1995).

    3. Baker, A.C., Entress, J.H., "VASPS (Vertical Annular Separation Pumping

    System) Subsea Separation and Pumping System", Trans I Chem E., v. 70,

    Part A (Jan. 1992), p. 9-16. Paper presented at the Institution of Chemical

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