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Reservoir EngineeringMaterial Balance

Modified Cole Plot for Water-Drive Gas Reservoirs Formula

FEt=G+WeEt\frac{F}{E_t}=G+\frac{W_e}{E_t}

Modified Cole Plot for Water-Drive Gas Reservoirs calculates fluid withdrawal divided by total expansion term for material balance workflows in reservoir engineering.

Calculate

How engineers use this formula

Use this formula when the listed inputs (G, W_e, E_t) are known and the assumptions behind the cited material balance 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_over_Et equals 1,020,000,000 SCF.

GSCF

1000000000

W_ebbl

100000

E_tbbl/SCF

0.005

Inputs

G

SCF

Gas in Place

W_e

bbl

Cumulative Water Influx

E_t

bbl/SCF

Total Expansion Term

Outputs

F_over_Et

SCF

Fluid Withdrawal Divided by Total Expansion Term

G

SCF

Gas in Place

W_e

bbl

Cumulative Water Influx

E_t

bbl/SCF

Total Expansion Term

Source and review

reviewed

Ahmed, T. and McKinney, P.D. 2005. Advanced Reservoir Engineering, Gulf Publishing of Elsevier, Chapter 3, Page 212.

Source

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