p311_00c_hwk_7_spe19577_rev

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Petroleum Engineering 311 Reservoir Petrophysics Homework 7 — Correlation of Resistivity Index: Waxman-Smits Model 20 November 2000 — Due: Monday 27 November 2000 Problem : Evaluation of Resistivity Index Using the Waxman- Smits Model. For each individual data set you are to: 7.1. You are to analyze the Resistivity Index (I=R t /R o ) data taken from paper SPE 19577. Use the Waxman- Smits water saturation model. 7.2. Discuss your results—and comment on the applicability of the Waxman-Smits water saturation model. You are REQUIRED to work these tasks by hand—you can CHECK your work with a computer product such as MS Excel, but you will be expected to be able to work pro-blems of this type BY HAND. Data : Resistivity Index Data (from paper SPE 19577) Point S w (fractio n) <AUS12*2 > I (R t /R o ) <CON5*1> I (R t /R o ) <CON5*2> I (R t /R o ) 1 0.20 --- --- 3.20 2 0.25 --- 6.47 2.99 3 0.30 --- 5.58 2.78 4 0.35 4.19 4.57 2.57 5 0.40 3.70 4.08 2.38 6 0.45 3.25 3.61 2.21 7 0.50 2.84 3.21 2.05 8 0.55 2.49 2.85 1.90 9 0.60 2.18 2.53 1.74 10 0.65 1.95 2.25 1.63 11 0.70 1.74 1.99 1.48 12 0.75 1.57 1.79 1.38 13 0.80 1.40 1.59 1.29 14 0.85 1.30 1.42 1.21 15 0.90 1.19 1.26 1.13 16 0.95 --- 1.12 1.05

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Page 1: P311_00C_Hwk_7_SPE19577_rev

Petroleum Engineering 311Reservoir Petrophysics

Homework 7 — Correlation of Resistivity Index: Waxman-Smits Model20 November 2000 — Due: Monday 27 November 2000

Problem: Evaluation of Resistivity Index Using the Waxman-Smits Model.

For each individual data set you are to:

7.1. You are to analyze the Resistivity Index (I=Rt/Ro) data taken from paper SPE 19577. Use the Waxman-Smits water saturation model.

7.2. Discuss your results—and comment on the applicability of the Waxman-Smits water saturation model.

You are REQUIRED to work these tasks by hand—you can CHECK your work with a computer product such as MS Excel, but you will be expected to be able to work pro-blems of this type BY HAND.

Data: Resistivity Index Data (from paper SPE 19577)

PointSw

(fraction)

<AUS12*2>I

(Rt/Ro)

<CON5*1>I

(Rt/Ro)

<CON5*2>I

(Rt/Ro)1 0.20 --- --- 3.202 0.25 --- 6.47 2.993 0.30 --- 5.58 2.784 0.35 4.19 4.57 2.575 0.40 3.70 4.08 2.386 0.45 3.25 3.61 2.217 0.50 2.84 3.21 2.058 0.55 2.49 2.85 1.909 0.60 2.18 2.53 1.74

10 0.65 1.95 2.25 1.6311 0.70 1.74 1.99 1.4812 0.75 1.57 1.79 1.3813 0.80 1.40 1.59 1.2914 0.85 1.30 1.42 1.2115 0.90 1.19 1.26 1.1316 0.95 --- 1.12 1.05

Page 2: P311_00C_Hwk_7_SPE19577_rev

Petroleum Engineering 311Reservoir Petrophysics

Homework 7 — Correlation of Resistivity Index: Waxman-Smits Model20 November 2000 — Due: Monday 27 November 2000

Archie/Waxman-Smits Resistivity Index Correlation: Data Grid

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Page 3: P311_00C_Hwk_7_SPE19577_rev

Petroleum Engineering 311Reservoir Petrophysics

Homework 7 — Correlation of Resistivity Index: Waxman-Smits Model20 November 2000 — Due: Monday 27 November 2000

Archie Resistivity Index Correlation: Type Curve Plot

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Page 4: P311_00C_Hwk_7_SPE19577_rev

Petroleum Engineering 311Reservoir Petrophysics

Homework 7 — Correlation of Resistivity Index: Waxman-Smits Model20 November 2000 — Due: Monday 27 November 2000

Archie/Waxman-Smits Resistivity Index Correlation: Type Curve Plot (n=1.0)

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Page 5: P311_00C_Hwk_7_SPE19577_rev

Petroleum Engineering 311Reservoir Petrophysics

Homework 7 — Correlation of Resistivity Index: Waxman-Smits Model20 November 2000 — Due: Monday 27 November 2000

Archie/Waxman-Smits Resistivity Index Correlation: Type Curve Plot (n=1.2)

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Page 6: P311_00C_Hwk_7_SPE19577_rev

Petroleum Engineering 311Reservoir Petrophysics

Homework 7 — Correlation of Resistivity Index: Waxman-Smits Model20 November 2000 — Due: Monday 27 November 2000

Archie/Waxman-Smits Resistivity Index Correlation: Type Curve Plot (n=1.4)

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Page 7: P311_00C_Hwk_7_SPE19577_rev

Petroleum Engineering 311Reservoir Petrophysics

Homework 7 — Correlation of Resistivity Index: Waxman-Smits Model20 November 2000 — Due: Monday 27 November 2000

Archie/Waxman-Smits Resistivity Index Correlation: Type Curve Plot (n=1.6)

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Page 8: P311_00C_Hwk_7_SPE19577_rev

Petroleum Engineering 311Reservoir Petrophysics

Homework 7 — Correlation of Resistivity Index: Waxman-Smits Model20 November 2000 — Due: Monday 27 November 2000

Archie/Waxman-Smits Resistivity Index Correlation: Type Curve Plot (n=1.8)

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Page 9: P311_00C_Hwk_7_SPE19577_rev

Petroleum Engineering 311Reservoir Petrophysics

Homework 7 — Correlation of Resistivity Index: Waxman-Smits Model20 November 2000 — Due: Monday 27 November 2000

Archie/Waxman-Smits Resistivity Index Correlation: Type Curve Plot (n=2.0)

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Page 10: P311_00C_Hwk_7_SPE19577_rev

Petroleum Engineering 311Reservoir Petrophysics

Homework 7 — Correlation of Resistivity Index: Waxman-Smits Model20 November 2000 — Due: Monday 27 November 2000

Archie/Waxman-Smits Resistivity Index Correlation: Type Curve Plot (n=2.2)

10

Page 11: P311_00C_Hwk_7_SPE19577_rev

Petroleum Engineering 311Reservoir Petrophysics

Homework 7 — Correlation of Resistivity Index: Waxman-Smits Model20 November 2000 — Due: Monday 27 November 2000

Archie/Waxman-Smits Resistivity Index Correlation: Type Curve Plot (n=2.4)

11

Page 12: P311_00C_Hwk_7_SPE19577_rev

Petroleum Engineering 311Reservoir Petrophysics

Homework 7 — Correlation of Resistivity Index: Waxman-Smits Model20 November 2000 — Due: Monday 27 November 2000

Data Plot from SPE 19577: Case AUS12*2

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Page 13: P311_00C_Hwk_7_SPE19577_rev

Petroleum Engineering 311Reservoir Petrophysics

Homework 7 — Correlation of Resistivity Index: Waxman-Smits Model20 November 2000 — Due: Monday 27 November 2000

Data Plot from SPE 19577: Case CON5*1

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Page 14: P311_00C_Hwk_7_SPE19577_rev

Petroleum Engineering 311Reservoir Petrophysics

Homework 7 — Correlation of Resistivity Index: Waxman-Smits Model20 November 2000 — Due: Monday 27 November 2000

Data Plot from SPE 19577: Case CON5*2

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