| (1) | \sigma_f = s_w \cdot \sigma_w(T) + s_o \cdot \sigma_o(T) + s_g \cdot \sigma_g(T) |
where
s_w, \, s_o, \, s_g | volumetric fractions of water, oil and gas phases: s_w + s_o + s_g = 1 |
\sigma_w(T), \, \sigma_o(T), \, \sigma_g(T) | electrical conductivity of water, oil and gas phases |
T | fluid temperature |
In many practical applications the electrical conductivity of hydrocarbons is much less than that of produced water
\sigma_w(T) \gg \sigma_o(T) \gg \sigma_g(T) so that
(1) can be approximated as:
| (2) | \sigma_f \approx s_w \cdot \sigma_w(T) |
Fluid Resistivity of the miltiphase fluid mix can be found as:
| (3) | \rho_f = \sigma_f^{-1} |
See also
Petroleum Industry / Upstream / Subsurface E&P Disciplines / Fluid Analysis / Fluid Conductivity & Fluid Resistivity