1053_3 - univ. of campinas --- gl valve temperature

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    GAS LIFT VALVE TEMPERATURE

    DISTRIBUTION: THEORETICAL

    AND EXPERIMENTAL ANALYSIS

    Marcelo M. Ganzarolli and Carlos A. C. Altemani

    State University of Campinas, UNICAMP

    Campinas , Brazil

    Alcino Resende Almeida

    Petrobras Research and Development Center - CENPES

    Rio de Janeiro, Brazil

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    OUTLINE

    Introduction

    Experimental Apparatus

    Compact Thermal Model

    Experimental Results

    Numerical Simulation

    Final Result

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    INTRODUCTION

    production oil

    injection gas

    N2 dome

    GLV inside the

    mandrel tube

    TN2 = f(Toil,Tgas)

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    EXPERIMENTAL APPARATUS

    CONSTANT LEVEL

    CONTROL VALVES

    ROTAMETERS

    HEATER

    WATER

    Pexiglas cylinder

    with the steel tube

    and GLV inside

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    Frontal view of the experimental apparatus

    20 cm

    20 cm

    60 cm

    HOT WATER

    HOT WATER

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    Lateral view of the experimental apparatus

    COLD FLUID

    HOT WATER

    HOT WATER

    20 cm

    20 cm

    60 cm

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    Cross section of the experimental apparatus

    VGL

    Mandrel

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    Plexiglas tube, mandrel and GLV

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    View of the experimental apparatus

    heater

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    COMPACT THERMAL MODEL

    Ttp

    TN2

    Tbs

    Tpi

    Tmi

    Tms

    Tps

    Tpd

    Tij

    Thermal Resistances

    Production Temperature

    Injection Temperature

    GLV and Mandrel Nodes

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    FINAL VERSION OF THE THERMAL NETWORK

    Tpd

    TN2 Tbs

    Tij

    R=500R=500

    R=5

    R=2,5

    R=37

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    THE N2 DOME

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    COMPACT MODEL PREDICTIONS

    The axial resistance along the GLV body was

    much larger than the radial resistance from

    the dome to the mandrel tube; The GLV dome temperature would be

    determined basically by the circumferential

    temperature distribution around the mandrel

    tube;

    This distribution will be a function of bothfluid temperatures as well as the

    corresponding convective heat transfer

    coefficients.

    EXPERIMENTAL RESULTS

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    20 cm

    20 cm

    60 cm

    thermocouple

    3

    4

    5

    6

    7

    11

    12

    13

    14

    15

    16

    18 19

    20

    21

    22

    23

    26

    27

    28

    17

    29

    22.429

    67.728

    67.927

    39.426

    68.623

    57.422

    56.821

    67.620

    68.419

    68.518

    68.51752.116

    34.915

    33.414

    37.813

    32.612

    51.211

    67.57

    67.96

    67.85

    67.94

    67.83

    TTHERMOCOUPLE

    EXPERIMENTAL RESULTS

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    EXPERIMENTAL RESULTS

    30.0

    40.0

    50.0

    60.0

    70.0

    t=0

    t=5 min

    t=12 min

    T [oC]

    N2 bellow

    1311375

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    NUMERICAL SIMULATION

    The heat conduction was numerically simulated for a

    cross section of the mandrel tube;

    Convective heat transfer coefficients were specified

    for both fluid streams.

    gasoil

    gas

    TTTT*T

    =

    T*=f(position, hgas, hoil)

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    TEMPERATURE DISTRIBUTION IN THE

    MANDREL CROSS SECTION

    *

    GLV

    T*

    (OIL (T*=1)T=1) GAS (T*=0)

    T*

    *

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    MEAN TEMPERATURE AROUND THE GLVT

    *T*T

    0 100 200 300 400

    0.0

    0.4

    0.8

    hOIL/hGAS

    10

    5

    2

    1

    hOIL(W/m2 K)

    T*

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    NUMERICAL MODEL CONCLUSION

    )h

    h

    (f*Tgas

    oil

    =

    From definition*T

    TN2=Toil + (1-) Tgas

    A SIMPLE ( d i t ) THEORY

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    oil

    A SIMPLE (and approximate) THEORY

    Toil TMgTMo Tgas

    (hA)-1

    oil (Sk)-1

    (hA)-1

    gas

    TMgas

    TM = Toil + (1- )TgasTM=(TMo + TMg)/2

    Considering typical values for the

    heat transfer coefficients and for

    the conduction shape factorS

    10hA

    Sk

    )

    h

    h(f

    )h/h()A/A(1

    1

    gas

    oil

    gasoil

    oilgas

    =

    +

    The expression suggests

    a form for the functionalrelationship

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    TWO MANDREL CROSS SECTIONS

    GLV GLV

    75.0* =T73.0* =T

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    NUMERICAL SIMULATION RESULTS

    1 2 3 4 5 6 7 8 9 10 11

    0.0

    0.1

    0.2

    0.3

    0.4

    0.5

    0.6

    0.7

    0.8

    0.9

    1.0

    hoil/hgas

    Numerical Results

    Proposed Correlation

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    FINAL RESULT

    TN2=Toil + (1-) T gas

    +

    =

    gas

    oil

    h

    h

    6.11

    1

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    THE END