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For MBO fluid model the oil sandface flowrate 

LaTeX Math Inline
bodyq_o
is related to surface flowrates of crude oil 
LaTeX Math Inline
bodyq_O
 and natural gas
LaTeX Math Inline
bodyq_G
 as (see derivation as below (see Derivation):

LaTeX Math Block
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q_o = \frac{B_o \cdot (q_O - R_v \, q_G)}{1- R_v \, R_s}

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