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LaTeX Math Inline
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x✔

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x✔x✔

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x✔x✔


Volatile oil fluid model is widely used to model Volatile Oil Reservoir and Pipe Flow Simulations.

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q_O = \frac { q_o/B_o + R_v \cdot q_g/B_g } {1 - R_s R_v}
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q_G =\frac{q_g/B_g + R_s \cdot q_o/B_o}{1-R_s R_v}
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q_W =  \frac{q_w}{B_w}
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q_L =  q_O + q_W
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q_o = B_o \cdot ( q_O - R_v \, q_G)
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q_g = B_g \cdot ( q_G - R_s \, q_O)
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q_w = B_w \cdot q_W
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q_t = q_o + q_g + q_w
In-situ oil-cut:


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s_o = q_o/q_t
In-situ gas-cut:


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s_g = q_g/q_t
In-situ water-cut:


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s_w = q_w/q_t
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s_o+s_g+s_w = 1

Surface oil mass rate: 

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\dot m_O = \rho_O \cdot q_O
Surface gas mass rate: 


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\dot m_G = \rho_G \cdot q_G
Surface gas mass rate: 


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\dot m_W = \rho_W \cdot q_W
Surface total fluid mass rate: 


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\dot m = \dot m_O + \dot m_G + \dot m_W
In-situ oil mass rate:


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\dot m_o = \rho_O \cdot q_o/B_o = \rho_O \cdot (q_O - R_v \, q_G))
In-situ gas mass rate:


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\dot m_g = \rho_G \cdot q_g/B_g = \rho_O \cdot (q_G - R_s \, q_O)
In-situ water mass rate:


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\dot m_w = \rho_W \cdot q_w/B_w
In-situ total fluid mass rate:


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\dot m = \dot m_o + \dot m_g + \dot m_w
In-situ oil density:


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\rho_o = \rho_O/B_o
In-situ gas density:


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\rho_g = \rho_G/B_g
In-situ water density:


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\rho_w = \rho_W/B_w
Total fluid density:
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\rho_t = \dot m/q_t = s_o \, \rho_o + s_g \, \rho_g + s_w \, \rho_w

Total fluid compressibility:

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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 )

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