linear flow systems
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1Linear Flow Systems
For
The RPI Users Group
BJ Services
Conference Room
May 21, 1998
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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
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Naturally Fractured Reservoirs3
Sparsely Fractured
Moderately Fractured (Compartmentalized)
Intensely Fractured (approaching Radial Flow)
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Theory:4
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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.
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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
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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
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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
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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.
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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
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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
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