GLOSSARY

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anchorepsilonf
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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 + s_o P_g + s_g P_g
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anchorsigma_f
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P_w =  \frac{(\epsilon_w-1)(2\epsilon_w+1)}{9 \, \epsilon_w}
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anchorsigma_f
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P_o(T) = \frac{\epsilon_o-1}{\epsilon_o+2}
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anchorsigma_f
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P_g(T) = \frac{\epsilon_g-1}{\epsilon_g+2}
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anchorepsilon_w
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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
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anchorepsilon_o
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\epsilon_o(T) = 316 ÷ 20
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anchorepsilon_g
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\epsilon_og(T) = 1 ÷ 2

where

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bodys_w, \, s_o, \, s_g

volumetric fractions of water, oil and gas phases: 

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bodys_w + s_o + s_g = 1

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bodyP_w, \, P_o, \, P_g

electrical polarization of water, oil and gas phases

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body\epsilon_w, \, \epsilon_o, \, \epsilon_g

relative dielectric permittivity of water, oil and gas phases

LaTeX Math Inline
bodyT

fluid temperature

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