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Example

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In Appendix E4 of Craig's "The Reservoir Engineering Aspects of Waterflooding", he presents the following example for calculating the Composite WOR Recovery Performance

 

General Input Data

Oil viscosity [cP]

1

Water viscosity [cP]

0.5

Oil FVF, Bo [rb/stb]

1.2

Water FVF, Bw [rb/stb]

1

 

 

Residual Oil Saturation, Sor [fraction]

0.3

Initial Water Saturation, Swc [fraction]

0.1

Initial Gas Saturation, Sgi [fraction]

0.15

 

 

Injector wellbore radius [ft]

1

Pressure difference injector-producer [psi]

3000

Half distance between injectors [ft]

660

Distance injector to producer [ft]

932

Pattern Area, Acres

40

 

 

Base Layer Reservoir Thickness [ft]

5

Base Layer Permeability [mD]

31.5

Base Layer Porosity [fraction]

0.2

 

 

Relative Permeability Data

Sw

kro

krw

0.1

1

0

0.3

0.373

0.07

0.4

0.21

0.169

0.45

0.148

0.226

0.5

0.1

0.3

0.55

0.061

0.376

0.6

0.033

0.476

0.65

0.012

0.6

0.7

0

0.74

 

 

Layer Properties

Layer Number

Thickness [ ft ]

Permeability [ mD ]

Porosity [ fraction ]

1

5

31.5

0.2

2

5

20.5

0.2

3

5

16

0.2

4

5

13.1

0.2

5

5

10.9

0.2

6

5

8.2

0.2

7

5

7.7

0.2

8

5

6.3

0.2

9

5

4.9

0.2

10

5

3.2

0.2

 

Once the user has successfully input all the required data, as shown in the following two screen captures, they can press the calculate button to calculate all stages of the performance prediction.

 

The user can choose to enter Relative Permeability table values, as shown below, or choose to enter Corey coefficients for Oil and Water curvature, since all the other endpoint parameters are required for other calculation steps [ kro, krw, Sor, Swc ].

 

 

 

Stage 1 : Start to Interference

 

The Stage 1 - Start to Interference is calculated if the user input an initial gas saturation value > 0.

 

Note that all data within the tables can be output to the clipboard by pressing CTRL+C

 

Stage 2 : Interference to Fillup

 

The Stage 2 - Interference to Fillup is also calculated if the user input an initial gas saturation value > 0.

 

 

Stage 3 : Fillup to Water Breakthrough

 

The Stage 3 - Fillup to Water Breakthrough calculation panel is shown below :

 

Note that all data within the tables can be output to the clipboard by pressing CTRL+C

 

Stage 4 : Post Water Breakthrough

 

The Stage 4 - Post Water Breakthrough calculation output panel is shown below :

 

Note that all data within the tables can be output to the clipboard by pressing CTRL+C

 

Stage 5 : Combined Base Layer Profile Prediction

 

The combined base layer performance output panel and charts are shown below :

 

Note that all data within the tables can be output to the clipboard by pressing CTRL+C

 

 

 

To switch between a Linear Y Axis and a Logarithmic Y Axis on the above WOR v's Er plot, select the chart's context menu by a single right mouse click within the chart area.

 

Stage 6 : Combined All Layers Profile Prediction

 

The combined all layers performance output panel and charts are shown below.

 

Note that all data within the tables can be output to the clipboard by pressing CTRL+C

 

 

 

The user can choose to display the Y axis of the WOR versus recovery factor as a logarithmic scale, in line with common industry practice. To switch between a Linear Y Axis and a Logarithmic Y Axis on the above plot, select the chart's context menu by a single right mouse click within the chart area.

References:

Craig, Jr., F., "The Reservoir Engineering Aspects of Waterflooding", Society of Petroleum Engineers, 1971

 


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