Difference between revisions of "VRR"

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__TOC__
 
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<div style='text-align: right;'>By Mikhail Tuzovskiy on {{REVISIONTIMESTAMP}}</div>
  
 
==Brief==
 
==Brief==
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[[VRR]] is calculated with the current rates and on the cumulative basis '''VRRcum'''.
 
[[VRR]] is calculated with the current rates and on the cumulative basis '''VRRcum'''.
  
===Equation===
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==Equation==
:<math> VRR = \frac{Injected\ reservoir\ volumes}{Produced\ reservoir\ volumes} = \frac{W_i B_{wi} + I_g B_{gi}}{N_p B_o + W_p B_{wp} + B_g(GOR-R_s)N_p}</math>
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:<math> VRR = \frac{Injected\ reservoir\ volumes}{Produced\ reservoir\ volumes} = \frac{W_i B_{wi} + G_{gi} B_{ginj}}{N_p B_o + W_p B_{wp} + B_g(GOR-R_s)N_p}</math>
  
 
where
 
where
  
 
:<math> B_{g} </math> = Gas formation volume factor, m3/m3
 
:<math> B_{g} </math> = Gas formation volume factor, m3/m3
:<math> B_{gi} </math> = Injected gas formation volume factor, m3/m3
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:<math> B_{ginj} </math> = Injected gas formation volume factor at reservoir pressure, m3/m3
 
:<math> B_{wi} </math> = Injected water formation volume factor, m3/m3
 
:<math> B_{wi} </math> = Injected water formation volume factor, m3/m3
 
:<math> B_{wp} </math> = Produced water formation volume factor, m3/m3
 
:<math> B_{wp} </math> = Produced water formation volume factor, m3/m3
 
:<math> B_o </math> = Oil formation volume factor, m3/m3
 
:<math> B_o </math> = Oil formation volume factor, m3/m3
 
:<math> GOR </math> = Produced gas oil ratio, m3/m3
 
:<math> GOR </math> = Produced gas oil ratio, m3/m3
:<math> I_g </math> = Injected gas volume, m3
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:<math> G_{gi} </math> = Injected gas volume, m3
 
:<math> N_p </math> = Oil produced, m3
 
:<math> N_p </math> = Oil produced, m3
 
:<math> R_s </math> = Solution gas oil ratio, m3/m3
 
:<math> R_s </math> = Solution gas oil ratio, m3/m3
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:<math> W_i </math> = Water injected, m3
 
:<math> W_i </math> = Water injected, m3
 
:<math> W_p </math> = Water produced, m3
 
:<math> W_p </math> = Water produced, m3
 
 
 
===Related definitions===
 
Pore volume:
 
:<math> PV = A * h * \phi</math>
 
 
Movable pore volume:
 
:<math> MOPV = A * h * \phi *(1-S_{wc}-S_{orw})</math>
 
 
where
 
 
:<math> S_{wc} </math> = Connate water saturation, fraction
 
:<math> S_{orw} </math> = Residual oil saturation, fraction
 
  
 
==See Also==
 
==See Also==
 +
*[[HCPV]]
 
*[[HCPVinj]]
 
*[[HCPVinj]]
 
*[[STOIIP]]
 
*[[STOIIP]]
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*[[Block]]
 
*[[Block]]
 
*[[Mature Water Flood Analysis]]
 
*[[Mature Water Flood Analysis]]
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*[[Oil Material Balance]]
  
 
[[Category:E&P Portal]]
 
[[Category:E&P Portal]]
 
[[Category:Mature Water Flood Analysis]]
 
[[Category:Mature Water Flood Analysis]]
 
  
 
{{#seo:
 
{{#seo:

Latest revision as of 05:28, 3 January 2023

By Mikhail Tuzovskiy on 20230103052823

Brief

VRR stands for voidage replacement ratio. It is the ratio of injected fluid to produced fluid at the reservoir conditions.

VRR is calculated with the current rates and on the cumulative basis VRRcum.

Equation

 VRR = \frac{Injected\ reservoir\ volumes}{Produced\ reservoir\ volumes} = \frac{W_i B_{wi} + G_{gi} B_{ginj}}{N_p B_o + W_p B_{wp} + B_g(GOR-R_s)N_p}

where

 B_{g} = Gas formation volume factor, m3/m3
 B_{ginj} = Injected gas formation volume factor at reservoir pressure, m3/m3
 B_{wi} = Injected water formation volume factor, m3/m3
 B_{wp} = Produced water formation volume factor, m3/m3
 B_o = Oil formation volume factor, m3/m3
 GOR = Produced gas oil ratio, m3/m3
 G_{gi} = Injected gas volume, m3
 N_p = Oil produced, m3
 R_s = Solution gas oil ratio, m3/m3
 VRR = Voidage replacement ratio, fraction
 W_i = Water injected, m3
 W_p = Water produced, m3

See Also