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In case of Volatile Oil Reservoir the connection with surface flowrates and mass flowrates will be:
qo | q_o = \frac{ B_o \cdot ( q_O - R_v \, q_G) }{1- R_v \, R_s} |
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qO1qOm\rho_O + \rho_G \, R_s}{B_o} |
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| m_o = \rho_o \cdot q_o = \frac{\rho_O + \rho_G \, R_s}{B_o} \cdot q_o |
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qg | q_g = \frac{ B_g \cdot ( q_G - R_s \, q_O)}{1- R_v \, R_s} |
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qG1qGm\rho_G + \rho_O \, R_v}{B_g} |
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| m_g = \rho_g \cdot q_g = \frac{\rho_G + \rho_O \, R_v}{B_g} \cdot q_g |
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qwqW1qWm |
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| m_w = \rho_w \cdot q_w = \frac{\rho_W}{B_w} \cdot q_w |
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| q_t = q_o + q_g + q_w |
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| q_t = \frac{B_o - B_g \, R_v}{1-R_v \, R_s} \cdot q_O
+\frac{B_g - B_o \, R_v}{1-R_v \, R_s} \cdot q_G
+ B_w \cdot q_W |
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| q_t = \frac{B_o - B_g \, R_v}{(1-R_v \, R_s) \rho_O} \cdot m_O
+\frac{B_g - B_o \, R_v}{(1-R_v \, R_s) \, \rho_G} \cdot m_G
+ \frac{B_w}{\rho_W} \cdot m_W
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| \rho_t = (\dot m_O + \dot m_G + \dot m_G)/q_t |
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