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| volumetric fractions of water, oil and gas phases: |
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| body | \sigma_w(T), \, \sigma_o(T), \, \sigma_g(T) |
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| electrical conductivity of water, oil and gas phases |
| fluid temperature |
In many practical applications the electrical conductivity of hydrocarbons is much less than that of produced water
| LaTeX Math Inline |
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| body | \sigma_w(T) \gg \sigma_o(T) \gg \sigma_g(T) |
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so that | LaTeX Math Block Reference |
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can be approximated as:| LaTeX Math Block |
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\sigma_f \approx s_w \cdot \sigma_w(T) |
Fluid Resistivity of the miltiphase fluid mix can be found as:
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\rho_f = \sigma_f^{-1} |
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