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Sum of oil surface flowrate 

LaTeX Math Inline
body--uriencoded--q_OO%5e%7B\uparrow%7D
and water surface flowrate
LaTeX Math Inline
body--uriencoded--q_WW%5e%7B\uparrow%7D
:
LaTeX Math Inline
body--uriencoded--q_L L%5e%7B\uparrow%7D = q_O O%5e%7B\uparrow%7D + q_WW%5e%7B\uparrow%7D
.

SymbolMetric unitOilfield unit

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body--uriencoded--q_LL%5e%7B\uparrow%7D

cmdbpd


It is related to Total sandface flowrate 

LaTeX Math Inline
body q_t
as:

LaTeX Math Block
anchorqL
alignmentleft
q_LL^{\uparrow} = \frac{q_t}{B_w Y_wW + \left[ (B_o - R_s B_g]) + (B_g - R_v B_o) \, GORY_G \right] \cdot (1-Y_wW)}  

where

LaTeX Math Inline
bodyq_t

Total sandface flowrate

LaTeX Math Inline
bodyB_w, \, B_o, \, B_g

formation volume factors between separator and sandface pressure/temperature conditions

LaTeX Math Inline
bodyR_s, \, R_v

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

LaTeX Math Inline
body--uriencoded--\displaystyle Y_w W%5e%7B\uparrow%7D = \frac{q_W}{q_L}frac%7Bq_W%5e%7B\uparrow%7D%7D%7Bq_L%5e%7B\uparrow%7D%7D

Production Water Cut

LaTeX Math Inline
body--uriencoded--\displaystyle GORY_G%5e%7B\uparrow%7D= \frac{q_G}{q_O}frac%7Bq_G%5e%7B\uparrow%7D%7D%7Bq_O%5e%7B\uparrow%7D%7D

Production Gas-Oil-Ratio



Expand
titleDerivation

Starting with definition of Total sandface flowrate 

LaTeX Math Block Reference
anchorqt_VO
pageTotal sandface flowrate = qt
 and substituting the expression of Oil surface flowrateGas surface flowrateWater surface flowrate through Liquid production rate one arrives to 
LaTeX Math Block Reference
anchorqL
.


See Also

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

...