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\dot m = \rho_O \,cdot q_O +  \rho_G \,cdot q_G  + \rho_W \cdot q_W = \dot m_O  + \dot m_G + \dot m_W

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which means that total mass flux of all fluid phases is equal to the total mass flux of all fluid components.

As volatile oil model does not assume water-component exchange between phases the equality 

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 can be broken down into two equalities:


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\dot m_{HC} = \dot m_o + \dot m_g = \dot m_O + \dot m_G



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 \dot m_w = \dot m_W