s_w  \cdot \frac{(\epsilon -1)(2\epsilon+1)}{9\epsilon} + \left( 1-s_w \right) \cdot \frac{\epsilon-1}{\epsilon+2} = s_w P_w + s_o P_g + s_g P_g

P_w =  \frac{(\epsilon_w-1)(2\epsilon_w+1)}{9 \, \epsilon_w}

P_o(T) = \frac{\epsilon_o-1}{\epsilon_o+2}

P_g(T) = \frac{\epsilon_g-1}{\epsilon_g+2}

\epsilon_w(T) = 87.74 - 0.40008 \cdot T + 9.398 \cdot  10^{-4} \cdot T^2
- 1.41  \cdot  10^{-6} \cdot T^3

\epsilon_o(T) = 16 ÷ 20

\epsilon_g(T) = 1 ÷ 2

where

	volumetric fractions of water, oil and gas phases:
	electrical polarization of water, oil and gas phases
	relative dielectric permittivity of water, oil and gas phases
	fluid temperature

References

See also