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The concept applies both to producing and injecting wells.

The main purpose of describing the intakes and offtakes in terms of the Total sandface flowrate 

LaTeX Math Inline
bodyq_t
 is that it measures the actual flowing volumes in porous formations and as such directly relate to reservoir pressure.


For volatile oil fluid model the total sandface flowrate is related to surface flowrates of fluid components as:

LaTeX Math Block
anchor1
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q_t = q_w + q_o + q_g = B_w \, q_W + (B_o - R_s \, B_g) \, q_O + (B_g - R_v \, B_o) \, q_G

where

LaTeX Math Inline
bodyq_w, \, q_o, \, q_g

water, oil and gas sandface flowrates

LaTeX Math Inline
bodyq_W, \, q_O, \, q_G

water, crude oiland natural gas surface flowrates

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



It simplifies for the Black Oil model to:

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q_t = q \cdot B


See

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Also

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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 ] [ Liquid production rate ]

Non-linear multi-phase diffusion derivation @model ]