...
...
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 |
|
...
|
| LaTeX Math Block |
|---|
| anchor | sigma_f |
|---|
| alignment | left |
|---|
| P_w = \frac{(\epsilon_w-1)(2\epsilon_w+1)}{9 \, \epsilon_w} |
| | LaTeX Math Block |
|---|
| anchor | sigma_f |
|---|
| alignment | left |
|---|
| P_o(T) = \frac{\epsilon_o-1}{\epsilon_o+ |
|
...
| | LaTeX Math Block |
|---|
| anchor | sigma_f |
|---|
| alignment | left |
|---|
| P_g(T) = \frac{\epsilon_g-1}{\epsilon_g+2} |
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| LaTeX Math Block |
|---|
| anchor | epsilon_w |
|---|
| alignment | left |
|---|
| \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 |
| | LaTeX Math Block |
|---|
| anchor | epsilon_o |
|---|
| alignment | left |
|---|
| \epsilon_o(T) = 16 ÷ 20 |
| | LaTeX Math Block |
|---|
| anchor | epsilon_g |
|---|
| alignment | left |
|---|
| \epsilon_g(T) = 1 ÷ 2 |
|
where
| volumetric fractions of water, oil and gas phases: |
| \sigma | (T) | \sigma | (T) | \sigma | (T) | electrical | conductivity of polarization of water, oil and gas phases |
| T | fluid temperature |
...
...
| LaTeX Math Inline |
|---|
| body | \sigma_w(T) \gg \sigma_o(T) \gg \sigma_g(T) |
|---|
|
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| LaTeX Math Block Reference |
|---|
|
...
| LaTeX Math Block |
|---|
|
\sigma_f \approx s_w \cdot \sigma_w(T) |
...
| LaTeX Math Block |
|---|
|
\rho_f = \sigma_f^{-1} |
See also
...
Petroleum Industry / Upstream / Subsurface E&P Disciplines / Fluid Analysis / Fluid Capacitance
[ Dielectric permittivity of water @model ]
