Formation conductivity in dual water model

Input(s)

$F_{s}$: Shaly-Sand Formation Resistivity Factor (dimensionless)

$C_{w f}$: Free Water Conductivity (m ohm meter)

$C_{w b}$: Bound Water Apparent Conductivity (m ohm meter)

$f_{d l}$: Expansion Factor (dimensionless)

$Q_{v}$: Volume Concentration of Clay Exchange Cations (meq/mL)

$v_{Q}$: Volume Equivalent $\left(\mathrm{cm}^{3} / \mathrm{meq}\right)$

Output(s)

$F_{o}$: Salinity Dependent Formation Resistivity Factor (dimensionless)

$C_{o}$: Brine Saturated Rock Conductivity (m ohm meter)

Formula(s)

$$ \begin{gathered} F_{o}=F_{s} *\left(1-v_{Q} * Q_{v}\right) \\ C_{o}=\left(\frac{1}{F_{o}}\right) *\left(C_{w f}+f_{d l} * v_{Q} * Q_{v} *\left(C_{w b}-C_{w f}\right)\right) \end{gathered} $$

Reference(s)

Bassiouni, Z., 1994, Theory, Measurement, and Interpretation of Well Logs. SPE Textbook Series Vol. 4. Chapter 1, Page: 19.