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| \frac{1}{R_t} = \frac{\phi_e^m \, s_w^n }{A R_w} \quad \Rightarrow \quad s_w = \Big (left[ \frac{A}{\phi_e^m} \; \sqrt{\frac{R_w1}{R_t}}}{ \Big) ^{1/n} |
where constant is defined by formation shaliness | LaTeX Math Inline |
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\frac{1}{A} = 1 + \Big( \frac{^{\left( 1-0.5 \, V_{sh}^{2-V} \right)}}{\sqrt{R_{sh}}} + \sqrt{ \frac{\phi_ee^m}{A \, \frac{R_w}{R_{sh}} \Big)right]^{1/2} \, (2/n)} |
where
| formation water saturation |
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| effective porosity |
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| shaliness |
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| specific electrical resistivity from OH logs |
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| specific electrical resistivity of formation water |
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| specific electrical resistivity of wet shales |
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| formation matrix cementation exponent | 1.5 ÷ 2.5, default value is 2 |
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| formation matrix water-saturation exponent | 1.5 ÷ 2.5, default value is 2 |
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See Also
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Petroleum Industry / Upstream / Subsurface E&P Disciplines / Petrophysics
Well & Reservoir Surveillance / Well logging / Reservoir Data Logs (RDL) / Formation Resistivity Log @model
Reference
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Poupon, André, and J. Leveaux. "Evaluation Of Water Saturation In Shaly Formations." Paper presented at the SPWLA 12th Annual Logging Symposium, Dallas, Texas, May 1971.
