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LaTeX Math Block
anchorsigma_f
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\sigmaepsilon_f = s_w \cdot \sigmaepsilon_w(T) + s_o \cdot \sigmaepsilon_o(T) + s_g \cdot \sigmaepsilon_g(T)

where

LaTeX Math Inline
bodys_w, \, s_o, \, s_g

volumetric fractions of water, oil and gas phases: 

LaTeX Math Inline
bodys_w + s_o + s_g = 1

LaTeX Math Inline
body\sigmaepsilon_w(T), \, \sigmaepsilon_o(T), \, \sigmaepsilon_g(T)

electrical conductivity of relative dielectric permittivity of water, oil and gas phases

LaTeX Math Inline
bodyT

fluid temperature

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LaTeX Math Inline
body\sigma_w(T) \gg \sigma_o(T) \gg \sigma_g(T)

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LaTeX Math Block Reference
anchorsigma_f

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LaTeX Math Block
anchorZZ7WU
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\sigma_f \approx s_w \cdot \sigma_w(T)

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anchorrhof
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See also

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Petroleum Industry /  Upstream / Subsurface E&P Disciplines / Fluid Analysis / Fluid Capacitance

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