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A proxy model of watercut GOR in producing well with reservoir saturation 

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bodys=\{ s_w, \, s_o, \, s_g \}
 and reservoir pressure
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bodyp_e
:

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{\rm Y_{wm}}GOR = \frac{1}{1R_s + \frac{M_{rorg}}{M_{rwro}}  \cdot \frac{B_wo}{B_o} g}

where

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bodyM_{ro}(s)

Relative oil mobility

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bodyM_{rwrg}(s)

Relative water gas mobility

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bodyB_o(p_e)

Oil formation volume factor (Bo)

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bodyB_wg(p_e)

Water Gas formation volume factor (Bw)

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bodys

Reservoir saturation

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body\{ s_w, \, s_o, \, s_g \}

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bodyp_e

Current formation pressure

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s_wg(t) = s_{wi} + {\rm RF}(t)/E_S \cdot (1-s_{wi}-s_{or}) \cdot \rm RF(t)/E_S


See also

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Water cut (Yw)