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


For MBO fluid @model the total sandface flowrate Usually abbreviated as 

LaTeX Math Inline
bodyq_t
 or
w
is related to surface flowrates of water 
LaTeX Math Inline
bodyqB
.For the volatile oil fluid model the total sandface flowrate is related to surface flowrates of fluid components as
q_W
 as (see derivation):

LaTeX Math Block
anchor1
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q_tw = B_w \, q_W + \frac{B_o - R_v B_g}{1 - R_v R_s} \, q_O + \frac{B_g - R_s B_o}{1 - R_v R_s} \, q_G

where

water, oil, gas surface flowrates LaTeX Math Inlinebody\{

LaTeX Math Inline
body

\{ q_W, \, q_O, \, q_G \}

B_w

, \, B_o, \, B_g \}

formation volume factors 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_t = 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