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Reservoir EngineeringPVT and Rock-Fluid Properties

Cumulative Oil Production – Undersaturated Oil Reservoirs Formula

Np=Nce(BoiBo)ΔPNp = N \cdot c_e \cdot \left( \frac{B_{oi}}{B_o} \right) \cdot \Delta P

Cumulative Oil Production – Undersaturated Oil Reservoirs calculates cumulative oil production for pvt and rock-fluid properties workflows in reservoir engineering.

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How engineers use this formula

Use this formula when the listed inputs (N, c_e, Bo, Boi, dP) are known and the assumptions behind the cited pvt and rock-fluid properties 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, Np equals 5,454.545455 STB.

NSTB

1000000

c_e1/psi

5e-6

Bobbl/STB

1.1

Boibbl/STB

1.2

dPpsi

1000

Inputs

N

STB

Initial Oil-in-Place

c_e

1/psi

Effective Compressibility

Bo

bbl/STB

Oil Formation Volume Factor at Assumed Reservoir Pressure

Boi

bbl/STB

Oil Formation Volume Factor at Initial Reservoir Pressure

dP

psi

Pressure Differential

Outputs

Np

STB

Cumulative Oil Production

N

STB

Initial Oil-in-Place (rearranged)

c_e

1/psi

Effective Compressibility (rearranged)

Bo

bbl/STB

Oil FVF at Current Pressure (rearranged)

Boi

bbl/STB

Oil FVF at Initial Pressure (rearranged)

dP

psi

Pressure Differential (rearranged)

Source and review

reviewed

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

Source

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