Formation conductivity in dual water model

Input(s)

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

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

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

fdlf_{d l}: Expansion Factor (dimensionless)

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

vQv_{Q}: Volume Equivalent (cm3/meq)\left(\mathrm{cm}^{3} / \mathrm{meq}\right)

Output(s)

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

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

Formula(s)

Fo=Fs(1vQQv)Co=(1Fo)(Cwf+fdlvQQv(CwbCwf))\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.


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