Difference between revisions of "VRR"

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where
 
where
  
:<math> A </math> = Area, m2
+
:<math> B_{g} </math> = Gas formation volume factor, m3/m3
:<math> h </math> = Net pay, oil saturated thickness, m
+
:<math> B_{gi} </math> = Injected gas formation volume factor, m3/m3
:<math> HCPV </math> = Hydrocarbon pore volume, m3
+
:<math> B_{wi} </math> = Injected water formation volume factor, m3/m3
:<math> \phi </math> = Porosity, fraction
+
:<math> B_{wp} </math> = Produced water formation volume factor, m3/m3
:<math> S_o </math> = Oil saturation, fraction
+
:<math> B_o </math> = Oil formation volume factor, m3/m3
 +
:<math> GOR </math> = Produced gas oil ratio, m3/m3
 +
:<math> I_g </math> = Injected gas volume, m3
 +
:<math> N_p </math> = Oil produced, m3
 +
:<math> R_s </math> = Solution gas oil ratio, m3/m3
 +
:<math> VRR </math> = Voidage replacement ratio, fraction
 +
:<math> W_i </math> = Water injected, m3
 +
:<math> W_p </math> = Water produced, m3
 +
 
 +
 
  
 
===Related definitions===
 
===Related definitions===

Revision as of 14:10, 23 March 2022

Brief

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

Equation

 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}

where

 B_{g} = Gas formation volume factor, m3/m3
 B_{gi} = Injected gas formation volume factor, 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
 I_g = 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


Related definitions

Pore volume:

 PV = A * h * \phi

Movable pore volume:

 MOPV = A * h * \phi *(1-S_{wc}-S_{orw})

where

 S_{wc} = Connate water saturation, fraction
 S_{orw} = Residual oil saturation, fraction

See Also