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Reservoir EngineeringMaterial Balance and Production

Oil Reservoir Underground Withdrawal Formula

F=Np[Bo+(RpRs)Bg]+WpBwF = N_p\left[B_o + (R_p-R_s)B_g\right] + W_pB_w

Oil Reservoir Underground Withdrawal calculates underground withdrawal for material balance and production workflows in reservoir engineering.

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How engineers use this formula

Use this formula when the listed inputs (N_p, B_o, R_p, R_s, B_g, W_p, B_w) are known and the assumptions behind the cited material balance and production 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, F equals 631,000 RB.

N_pSTB

200000

B_oRB/STB

1.15

R_pscf/STB

900

R_sscf/STB

550

B_gRB/scf

0.005

W_pSTB

50000

B_wRB/STB

1.02

Inputs

N_p

STB

Cumulative Oil Production

B_o

RB/STB

Oil Formation Volume Factor

R_p

scf/STB

Cumulative Producing Gas-Oil Ratio

R_s

scf/STB

Solution Gas-Oil Ratio at Current Pressure

B_g

RB/scf

Gas Formation Volume Factor

W_p

STB

Cumulative Water Production

B_w

RB/STB

Water Formation Volume Factor

Outputs

F

RB

Underground Withdrawal

N_p

STB

Cumulative Oil Production

B_o

RB/STB

Oil Formation Volume Factor

R_p

scf/STB

Cumulative Producing Gas-Oil Ratio

R_s

scf/STB

Solution Gas-Oil Ratio at Current Pressure

B_g

RB/scf

Gas Formation Volume Factor

W_p

STB

Cumulative Water Production

B_w

RB/STB

Water Formation Volume Factor

Source and review

reviewed

Petroleum Office. Underground Withdrawal and Expansion Terms; Havlena and Odeh material balance notation.

Source

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