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Production EngineeringInjection Wells

Voidage Replacement Ratio Formula

VRR=WiBwi+GiBginjNpBo+WpBwp+Bg(GORRs)NpVRR=\frac{W_iB_{wi}+G_iB_{ginj}}{N_pB_o+W_pB_{wp}+B_g(GOR-R_s)N_p}

Voidage Replacement Ratio calculates voidage replacement ratio for injection wells workflows in production engineering.

Calculate

How engineers use this formula

Use this formula when the listed inputs (W_i, B_wi, G_i, B_ginj, N_p, B_o, W_p, B_wp, B_g, GOR, R_s) are known and the assumptions behind the cited injection wells relationship match the engineering case being checked.

Assumptions

  • Input values are representative for the well, reservoir, fluid, or equipment case being evaluated.
  • The declared units match the field-unit constants used in the formula.
  • The cited formula applies to the selected petroleum engineering workflow.

Limitations

  • The calculation does not replace a full engineering model or operating procedure.
  • Accuracy depends on the source correlation, assumptions, input quality, and unit consistency.

Common mistakes

  • Mixing unit systems without converting the inputs.
  • Using default example values as field recommendations.
  • Applying the formula outside the source assumptions.

Default example

Using the default inputs, VRR equals 0.976357 dimensionless.

W_iSTB

100000

B_wirb/STB

1.02

G_iMscf

0

B_ginjrb/Mscf

0.005

N_pSTB

70000

B_orb/STB

1.2

W_pSTB

20000

B_wprb/STB

1.02

B_grb/Mscf

0.005

GORMscf/STB

0.8

R_sMscf/STB

0.6

Inputs

W_i

STB

Water Injected

B_wi

rb/STB

Injected Water Formation Volume Factor

G_i

Mscf

Gas Injected

B_ginj

rb/Mscf

Injected Gas Formation Volume Factor

N_p

STB

Oil Produced

B_o

rb/STB

Oil Formation Volume Factor

W_p

STB

Water Produced

B_wp

rb/STB

Produced Water Formation Volume Factor

B_g

rb/Mscf

Produced Gas Formation Volume Factor

GOR

Mscf/STB

Produced Gas-Oil Ratio

R_s

Mscf/STB

Solution Gas-Oil Ratio

Outputs

VRR

dimensionless

Voidage Replacement Ratio

Source and review

reviewed

PengTools Wiki. VRR; IHS Harmony material balance analysis theory, voidage replacement ratio definition.

Source

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