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LaTeX Math Block
anchorqO
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V_O = \frac{V_o}{B_o} + R_v \,\frac{V_g}{B_g}
LaTeX Math Block
anchorqG
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V_G = \frac{V_g}{B_g} + R_s \, \frac{V_o}{B_o}
LaTeX Math Block
anchorqW
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V_W =  \frac{q_w}{B_w}
LaTeX Math Block
anchorqL
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V_L =  V_O + V_W
LaTeX Math Block
anchorq_o
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V_o = \frac{B_o \cdot (V_O - R_v \, V_G)}{1- R_v \, R_s}
LaTeX Math Block
anchorq_g
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V_g = \frac{B_g \cdot (V_G - R_s \, V_O)}{1- R_v \, R_s}
LaTeX Math Block
anchorq_w
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V_w = B_w \cdot V_W
LaTeX Math Block
anchorqt
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V_t = V_o + V_g + V_w
In-situ oil-cut:


LaTeX Math Block
anchors_o
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s_o = V_o/V_t
In-situ gas-cut:


LaTeX Math Block
anchors_g
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s_g = V_g/V_t
In-situ water-cut:


LaTeX Math Block
anchors_w
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s_w = V_w/V_t
LaTeX Math Block
anchors
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s_o+s_g+s_w = 1

Surface oil mass rate: 

LaTeX Math Block
anchorm_O1
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m_O = \rho_O V_O
Surface gas mass rate: 


LaTeX Math Block
anchorm_G1
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 m_G = \rho_G V_G
Surface gas mass rate: 


LaTeX Math Block
anchorm_W1
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m_W = \rho_W V_W
Surface total fluid mass rate: 


LaTeX Math Block
anchorm_tSURF
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m = m_O + m_G + m_W 
In-situ oil mass:


LaTeX Math Block
anchorm_o
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m_o = (\rho_O + \rho_G \cdot R_s) \cdot \frac{V_o}{B_o} 
In-situ gas mass:


LaTeX Math Block
anchorm_g
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m_g = (\rho_G + \rho_O \cdot R_v) \cdot \frac{V_g}{B_g}
In-situ water mass:


LaTeX Math Block
anchorm_w
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m_w = \rho_W \cdot V_w/B_w
In-situ total fluid mass:


LaTeX Math Block
anchorm_tSUB
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m = m_o + m_g + m_w 
In-situ oil density:


LaTeX Math Block
anchorrho_o
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\rho_o = \frac{\rho_O + \rho_G \cdot R_s}{B_o}
In-situ gas density:


LaTeX Math Block
anchorrho_g
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\rho_g = \frac{\rho_G + \rho_O \cdot R_v}{B_g}
In-situ water density:


LaTeX Math Block
anchorrho_w
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\rho_w = \frac{\rho_W}{B_w}
In-situ Total fluid density:
LaTeX Math Block
anchorrho_t
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\rho_t = m/V_t = s_o \, \rho_o + s_g \, \rho_g + s_w \, \rho_w  

In-situ total fluid compressibility:

LaTeX Math Block
anchorc
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c = \rho_t^{-1} \cdot ( s_o \, \rho_o \, c_o + s_g \, \rho_g \, c_g + s_w \, \rho_w \, c_w )

where 

LaTeX Math Inline
bodyB_o, \, B_g, \, B_w, \, R_s, \, R_v
 are Dynamic fluid properties.

See Also

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Petroleum Industry / Upstream / Subsurface E&P Disciplines / Fluid (PVT) Analysis / Fluid @model

[ Volatile Oil ][ Volatile Oil Reservoir ][  PVT correlations ][ Oil correlations ][ Gas correlations ][ Water correlations ]

[ Dynamic fluid properties ]


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