linear flow systems

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  • 7/28/2019 Linear Flow Systems

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    1Linear Flow Systems

    For

    The RPI Users Group

    BJ Services

    Conference Room

    May 21, 1998

    Copyright Performance Sciences, Inc. - 1999. All Rights Reserved

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    Types of Systems:

    1.Bar Sand Environments

    Lake Uintah south shore

    2.Channel Sand Environments

    Morrow/Springer Channels

    Red Fork

    D Sand2

    Copyright Performance Sciences, Inc. - 1999. All Rights Reserved

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    Naturally Fractured Reservoirs3

    Sparsely Fractured

    Moderately Fractured (Compartmentalized)

    Intensely Fractured (approaching Radial Flow)

    Copyright Performance Sciences, Inc. - 1999. All Rights Reserved

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    Theory:4

    Copyright Performance Sciences, Inc. - 1999. All Rights Reserved

    ct

    khxqt

    f

    s

    s

    wi

    = )(

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    An Example:5

    K = .25 mDs. Xe = 200 ft. Xf = 50 ft. Ad = .9183 Ac.

    Copyright Performance Sciences, Inc. - 1999. All Rights Reserved

    Production History

    0

    100

    200

    300

    400

    500

    600

    0 10 20 30 40 50 60 70 80 90 100

    Elapsed Time (Days)

    GasRate(MCF/D)

    0

    500

    1000

    1500

    2000

    2500

    3000

    BackPressure(PSIA)

    Rate

    Pressure

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    The MDH Plot:

    6

    Copyright Performance Sciences, Inc. - 1999. All Rights Reserved

    RPI - MDH

    BaseCase - Linear Flow

    0

    200

    400

    600

    800

    1000

    1200

    1400

    1600

    1800

    2000

    -1.5 -1 -0.5 0 0.5 1 1.5 2 2.5

    Log of Elapsed Time (Days)

    ReciprocalProductivityIndex

    Drawdown

    Permeability =

    Skin =

    0.255

    0.52

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    The Root Plot

    7

    Copyright Performance Sciences, Inc. - 1999. All Rights Reserved

    Square Root Plot

    0

    100

    200

    300

    400

    500

    600

    700

    800

    900

    1000

    0 1 2 3 4 5 6

    Square Root of Elapsed Time

    RPI

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    The Agarwal Gringarten Type Curve

    8

    Copyright Performance Sciences, Inc. - 1999. All Rights Reserved

    Agarwal - Gringarten Type Curve

    BaseCase - Linear Flow

    0.10

    1.00

    10.00

    100.00

    0.10 1.00 10.00 100.00 1000.00

    Dimensionless Time

    DimensionlessPressure

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    A Compartment Response:

    9

    K=.25 mDs. xe=200 ft. xf=50 ft. Blk Bdry=75 ft. Threshhold Pressure = 200 psi.

    Copyright Performance Sciences, Inc. - 1999. All Rights Reserved

    Agarwal - Gringarten Type Curve

    BaseCase - Linear Flow

    0.10

    1.00

    10.00

    100.00

    0.10 1.00 10.00 100.00 1000.00

    Dimensionless Time

    DimensionlessPressure

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    10Fig. 3 Production Decline Curve for Expl. #3 Boundary

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    Fig. 1 Agarwal-Gringarten Type Curve for Expl. #3 Boundary11

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    12Fig. 2 RPI-MDH Plot for Expl. #3 Boundary

    Copyright Performance Sciences, Inc. - 1999. All Rights Reserved

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    Conclusions:

    Geologically controlled linear flow regimes can beevaluated

    Use the MDH plot at early time to estimatepermeability

    Use Root Plot and AGTC to evaluate length offracture face

    Expectations created by assumed radial flow cause

    frequent disappointing completions13

    Copyright Performance Sciences, Inc. - 1999. All Rights Reserved