Difference between revisions of "VRR"

Latest revision as of 05:28, 3 January 2023

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.

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

@@ Line 1: / Line 1: @@
 __TOC__
+<div style='text-align: right;'>By Mikhail Tuzovskiy on {{REVISIONTIMESTAMP}}</div>
 ==Brief==
@@ Line 7: / Line 8: @@
 [[VRR]] is calculated with the current rates and on the cumulative basis '''VRRcum'''.
-===Equation===
+==Equation==
-:<math> VRR = \frac{Injected\ reservoir\ volumes}{Produced\ reservoir\ volumes} = \frac{W_i B_{wi} + G_{gi} B_{gi}}{N_p B_o + W_p B_{wp} + B_g(GOR-R_s)N_p}</math>
+:<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
 :<math> B_{g} </math> = Gas formation volume factor, m3/m3
-:<math> B_{gi} </math> = Injected gas formation volume factor, m3/m3
+:<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_{wp} </math> = Produced water formation volume factor, m3/m3