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LaTeX Math Block
anchorSimandoux
alignmentleft
\frac{1}{R_t} =   \frac{\phi_e^m \, s_w^n}{A R_w (1-V_{sh})}    + \frac{V_{sh}}{R_{sh}} s_w^{n/2}

where

LaTeX Math Inline
bodys_w

formation water saturation

LaTeX Math Inline
body\phi_e

effective porosity

LaTeX Math Inline
bodyV_{sh}

shaliness

LaTeX Math Inline
bodyR_t

specific electrical resistivity from OH logs

LaTeX Math Inline
bodyR_w

specific electrical resistivity of formation water

LaTeX Math Inline
bodyR_{sh}

specific electrical resistivity of wet shales

LaTeX Math Inline
bodyA


dimensionless constant, characterizing the rock matrix contribution to the total electrical resistivity

0.5 ÷ 1, default value is 1 for sandstones and 0.9 for limestones

LaTeX Math Inline
bodym

formation matrix cementation exponent1.5 ÷ 2.5, default value is 2

LaTeX Math Inline
bodyn

formation matrix water-saturation exponent

1.5 ÷ 2.5, default value is 2


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