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Rock Course HW#6
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Petroleum Engineering 311Reservoir Petrophysics
Homework 6 – Correlation of Formation Resistivity Factor: Waxman-Smits CasesRevision of 22 November 2000 — Due: Monday 27 November 2000
Problem: Evaluation of Formation Resistivity Factor in Shaly Sands (Waxman-Smits)
For each individual data set you are to:
6.1. Determine the "Archie" model parameters using a plot of the logarithm of forma-tion factor versus the logarithm of porosity. Archie model: F=a-m
6.2. Determine the "Archie" model parameters using a plot of the logarithm of forma-tion factor versus the logarithm of permeability. Archie model: F=k-
6.3. Correlate permeability and porosity using:—k=AB (log(k) versus log())—k=Aexp(B) (log(k) versus )
6.4. Describe your results for each task—devote a summary paragraph to each task.
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.
a. Waxman-Smits "Clean Sand" Case
PointPorosity(fraction)
kair(md)
kliquid(md)
Fapparent(Ro/Rw)
1 0.217 --- 48.1 17.62 0.166 0.38 0.04 36.33 0.244 --- 166 13.74 0.202 --- 290 16.65 0.242 --- 119 12.96 0.212 28 19.6 16.87 0.205 34 21.5 17.78 0.208 51 36.2 17.69 0.204 59 40.1 17.2
10 0.245 --- 220 12.611 0.145 0.19 --- 49.7
b. Waxman-Smits "Shaly Sand" Case 1
PointPorosity(fraction)
kair(md)
kliquid(md)
Fapparent(Ro/Rw)
1 0.202 80 56.3 19.42 0.211 141 70 18.23 0.258 --- 440 11.44 0.193 67 40 24.75 0.207 226 158 18.76 0.200 146 83 20.87 0.189 95 132 22.18 0.182 48 33 28.29 0.161 12 6.9 33
10 0.149 3.3 1.1 36.311 0.159 1.3 0.16 37.112 0.116 0.3 0.05 74.313 0.186 59 31 25.114 0.174 5.9 2.1 31.215 0.163 3.7 16.2 35.8
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Petroleum Engineering 311Reservoir Petrophysics
Homework 6 – Correlation of Formation Resistivity Factor: Waxman-Smits CasesRevision of 22 November 2000 — Due: Monday 27 November 2000
c. Waxman-Smits "Shaly Sand" Case 2
PointPorosity(fraction)
kair(md)
kliquid(md)
Fapparent(Ro/Rw)
1 0.054 0.08 0.011 2322 0.261 --- 94 163 0.259 436 191 14.44 0.239 69 48.9 175 0.248 704 226 14.66 0.257 --- 210 14.5
d. Waxman-Smits "Very Shaly Sand"
PointPorosity(fraction)
kair(md)
kliquid(md)
Fapparent(Ro/Rw)
1 0.150 --- --- 89.42 0.119 0.35 --- 1193 0.087 0.09 0.06 1684 0.255 --- --- 29.85 0.253 --- 0.001 336 0.172 0.83 --- 117.97 0.272 --- 0.006 25.38 0.290 --- 0.15 18.89 0.267 --- 0.04 22
10 0.262 --- 0.02 24.911 0.284 --- 0.28 17.512 0.277 --- 0.04 21.113 0.253 --- 0.001 3214 0.232 --- 0.001 31.115 0.298 --- 0.44 16.816 0.128 0.38 0.0004 97.517 0.275 4.4 0.09 20.118 0.314 --- 0.33 14.919 0.290 5.8 0.24 17.820 0.322 --- 0.19 18.821 0.302 --- 0.04 20.422 0.290 --- 0.01 22.623 0.272 --- 0.002 24.6
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Archie Formation Resistivity Factor Correlation: Type Curve Plot4
Archie Formation Resistivity Factor Correlation: Data Grid5
Archie Formation Resistivity Factor Correlation: Data Grid—All Waxman-Smits Cases6
Formation Factor—Permeability Correlation: Data Grid7
Permeability—Porosity Correlation: Log-Log Data Grid8
Permeability—Porosity Correlation: Semilog Data Grid9
Homework 6 — Correlation of Formation Resistivity Factor: Waxman-Smits Cases
Archie Formation Resistivity Factor Correlation: Waxman-Smits "Clean Sand" Case
Archie Formation Resistivity Factor Correlation: Waxman-Smits "Shaly Sand" Case 1
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Homework 6 – Correlation of Formation Resistivity Factor: Waxman-Smits Cases
Archie Formation Resistivity Factor Correlation: Waxman-Smits "Shaly Sand" Case 2
Archie Formation Resistivity Factor Correlation: Waxman-Smits "Very Shaly Sand" Case
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