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For volatile oil fluid model the total sandface flowrate 

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bodyq_w
is related to surface flowrates of water 
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bodyq_W
 as as (see derivation):

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q_w = B_w \, q_W

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bodyB_w

formation volume factors between separator and sandface pressure/temperature conditions


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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 ]Non-linear multi-phase diffusion derivation @model