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One of the saturation from resistivity models:
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| s_w = \left[ \frac{\sqrt{\frac{1}{R_t}}}{ 1 + \sqrt{ \frac{\phiV_e^m}{A \, R_w}}} \right]{sh}^{\, (2/n)} |
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| \frac{1}{R_t} = \frac{\phi_e^mleft( 1-0.5 \, sV_w^n }{A R_w} \quad \Rightarrow \quad s_w = \Big ( \frac{A}{\phi_e^m} \; \frac{R_w}{R_t} \Big) ^{1/n} |
where constant is defined by formation shaliness : LaTeX Math Block |
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| \frac{1}{A} = 1 + \Big( \frac{V_{sh}^{2-V_{sh}}}{\phi_e} \, \frac{R_w}{R_{sh}} \Big)^{1/2} |
{sh} \right)}}{\sqrt{R_{sh}}} + \sqrt{ \frac{\phi_e^m}{A \, R_w}}} \right]^{\, (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.