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In most popular practical case of a 
3-phase fluid model this will be:

Total sandface flowrate

LaTeX Math Inline
bodyq_t = q_o + q_g + q_w


Oil sandface flowrate:

LaTeX Math Inline
bodyq_o

Gas sandface flowrate

LaTeX Math Inline
bodyq_g

Water sandface flowrate

LaTeX Math Inline
bodyq_w


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In this case the relation between the surface Sandface flowrates 

LaTeX Math Inline
body--uriencoded--\%7B q_Oo, \, q_Gg, \, q_W w \%7D
 and 

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Surface Flowrates 

LaTeX Math Inline
body--uriencoded--\%7B

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q_O, \,

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q_G, \,

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q_W \%7D

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 is given by Modified Black Oil fluid @model

LaTeX Math Block
anchorq_o
alignmentleft
q_o = B_o \cdot (q_O - R_v \, q_G)
LaTeX Math Block
anchorq_g
alignmentleft
q_g = B_g \cdot ( q_G - R_s \, q_O)
LaTeX Math Block
anchorq_w
alignmentleft
q_w = B_w \, q_W

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