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Reservoir EngineeringMaterial Balance and Production

Oil in Place for Undersaturated Oil Reservoirs without Fluid Injection Formula

N=NpBoBoBoi+Boi(Swicw+cf1Swi)ΔPN=\frac{N_pB_o}{B_o-B_{oi}+B_{oi}\left(\frac{S_{wi}c_w+c_f}{1-S_{wi}}\right)\Delta P}

Oil in Place for Undersaturated Oil Reservoirs without Fluid Injection calculates oil in place for material balance and production workflows in reservoir engineering.

Calculate

How engineers use this formula

Use this formula when the listed inputs (N_p, B_o, B_oi, S_wi, c_w, c_f, dP) 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 equals 1,827,485.380117 STB.

N_pSTB

100000

B_orb/STB

1.25

B_oirb/STB

1.2

S_wifraction

0.25

c_w1/psi

0.000003

c_f1/psi

0.000005

dPpsi

2000

Inputs

N_p

STB

Produced Oil

B_o

rb/STB

Oil Formation Volume Factor

B_oi

rb/STB

Initial Oil Formation Volume Factor

S_wi

fraction

Initial Water Saturation

c_w

1/psi

Water Compressibility

c_f

1/psi

Formation Compressibility

dP

psi

Pressure Differential

Outputs

N

STB

Oil in Place

N_p

STB

Produced Oil

B_o

rb/STB

Oil Formation Volume Factor

dP

psi

Pressure Differential

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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