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Reservoir EngineeringMaterial Balance and Production

Cumulative Oil Production in Undersaturated Oil Reservoirs Formula

Np=Nce(BoBoi)ΔPN_p=Nc_e\left(\frac{B_o}{B_{oi}}\right)\Delta P

Cumulative Oil Production in Undersaturated Oil Reservoirs calculates cumulative oil production for material balance and production workflows in reservoir engineering.

Calculate

How engineers use this formula

Use this formula when the listed inputs (N, c_e, B_o, B_oi, DeltaP) 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, N_p equals 14,400 STB.

NSTB

1000000

c_e1/psi

0.000015

B_obbl/STB

1.2

B_oibbl/STB

1.25

DeltaPpsi

1000

Inputs

N

STB

Initial Oil in Place

c_e

1/psi

Effective Compressibility

B_o

bbl/STB

Oil Formation Volume Factor at Assumed Reservoir Pressure

B_oi

bbl/STB

Oil Formation Volume Factor at Initial Reservoir Pressure

DeltaP

psi

Pressure Decline

Outputs

N_p

STB

Cumulative Oil Production

N

STB

Initial Oil in Place

c_e

1/psi

Effective Compressibility

B_o

bbl/STB

Oil Formation Volume Factor at Assumed Reservoir Pressure

B_oi

bbl/STB

Oil Formation Volume Factor at Initial Reservoir Pressure

DeltaP

psi

Pressure Decline

Source and review

reviewed

Advanced Reservoir Engineering, Ahmed, T., McKinney, P.D. (2005)

Ahmed, T. and McKinney, P.D. 2005. Advanced Reservoir Engineering, Gulf Publishing of Elsevier, Chapter 5, Page 333.

Source

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