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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 |
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LaTeX Math Block |
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anchor | sigma_f |
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alignment | left |
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| P_w = |
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\frac{(\epsilon_w-1)(2\epsilon_w+1)}{9 \, \epsilon_w} |
| LaTeX Math Block |
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anchor | sigma_f |
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alignment | left |
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| P_o(T) = \frac{\epsilon_o-1}{\epsilon_o+ |
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...
| LaTeX Math Block |
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anchor | sigma_f |
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alignment | left |
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| P_g(T) = \frac{\epsilon_g-1}{\epsilon_g+2} |
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LaTeX Math Block |
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anchor | epsilon_w |
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alignment | left |
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| \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 |
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anchor | epsilon_o |
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alignment | left |
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| \epsilon_o(T) = 16 ÷ 20 |
| LaTeX Math Block |
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anchor | epsilon_g |
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alignment | left |
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| \epsilon_g(T) = 1 ÷ 2 |
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where
| volumetric fractions of water, oil and gas phases: |
| electrical polarization of water, oil and gas phases |
LaTeX Math Inline |
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body | \epsilon_w(T), \, \epsilon_o(T), \, \epsilon_g(T) |
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|
| relative dielectric permittivity of water, oil and gas phases |
| fluid temperature |
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[ Dielectric permittivity of water @model ]