(1) |
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 |
|
(2) |
P_w = \frac{(\epsilon_w-1)(2\epsilon_w+1)}{9 \, \epsilon_w} |
|
(3) |
P_o(T) = \frac{\epsilon_o-1}{\epsilon_o+2} |
|
(4) |
P_g(T) = \frac{\epsilon_g-1}{\epsilon_g+2} |
|
(5) |
\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 |
|
(6) |
\epsilon_o(T) = 16 ÷ 20 |
|
(7) |
\epsilon_g(T) = 1 ÷ 2 |
|
where
| volumetric fractions of water, oil and gas phases:
s_w + s_o + s_g = 1 |
| electrical polarization of water, oil and gas phases |
\epsilon_w, \, \epsilon_o, \, \epsilon_g | relative dielectric permittivity of water, oil and gas phases |
| fluid temperature |
See also
Petroleum Industry / Upstream / Subsurface E&P Disciplines / Fluid Analysis / Fluid Capacitance
[ Dielectric permittivity of water @model ]