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Produced flowrate of live oil across the well-reservoir contact with the volumes measured at the sandface temperature and pressure conditions.


For volatile oil 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:

LaTeX Math Block
anchor1
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q_o = B_o \, (q_O - R_v \, q_G)

where

LaTeX Math Inline
bodyq_O, \, q_G

crude oil and natural gas surface flowrates

LaTeX Math Inline
bodyB_o

oil formation volume factor between separator and sandface pressure/temperature conditions

LaTeX Math Inline
bodyR_v

Vaporized oil ratio at sandface pressure/temperature conditions



It simplifies for the Black Oil model to:

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anchorZ7UHJ
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q_o =  B_o \, q_O


See also


Non-linear multi-phase diffusion derivation @model