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Total produced or injected flowrate of all fluids Produced flowrate of live oil across the well-reservoir contact with the volumes measured at the sandface temperature and pressure conditions.


For MBO fluid model the oil sandface flowrate Usually abbreviated as 

LaTeX Math Inline
bodyq_t
 or
o
is related to surface flowrates of crude oil 
LaTeX Math Inline
bodyqB
.For the volatile oil fluid model the total sandface flowrate is related to surface flowrates of fluid components as
q_O
 and natural gas
LaTeX Math Inline
bodyq_G
as below (see Derivation):

LaTeX Math Block
anchor1
alignmentleft
q_to = B_w \, q_W + \frac{B_o -\cdot R_v B_g}{1(q_O - R_v R_s} \, q_O + \frac{B_g - R_s B_oG)}{1 - R_v \, R_s} \, q_G

where

...

LaTeX Math Inline
body\{ q_W, \, q_O, \, q_G \}

...

LaTeX Math Inline
body

\{

B_

w, \, B_

o

, \, B_g \}

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

LaTeX Math Inline
body

\{

R_

s, \, R_

v

\}

Solution GOR and
Vaporized oil ratio at sandface pressure/temperature conditions


It simplifies for the Black Oil model to:

LaTeX Math Block
anchorZ7UHJ
alignmentleft
q_to = B_w \, q_W + B_o \, q_O + (B_g - R_s B_o) \, q_G

and simplifies further down to production from undersaturated reservoir as:

LaTeX Math Block
anchor4OV4F
alignmentleft
q_t = B_w \, q_W + B_o \, q_O 

and even simpler for single-phase fluid with  surface flow rate

LaTeX Math Inline
bodyq
 and formation volume factor B:

LaTeX Math Block
anchorVKDEW
alignmentleft
q_t = q \cdot B

See also



See Also

...

Petroleum Industry / Upstream / Subsurface E&P Disciplines / Well Testing (WT) / Flowrate Testing / Flowrate

Well & Reservoir Surveillance ]

[ Sandface flowrates ] [ Oil sandface flowrate ] [ Gas sandface flowrate ] [ Water sandface flowrate ]

Surface flowrates ] [ Oil surface flowrate ] [ Gas surface flowrate ] [ Water surface flowrate ]Non-linear multi-phase diffusion derivation @model