Formation conductivity in dual water model


\(F_{s}\): 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 \(\left(\mathrm{cm}^{3} / \mathrm{meq}\right)\)


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

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


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


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

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