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Reservoir EngineeringMaterial Balance

Gas Material Balance Equation Formula

Pz=Pizi(PscTTscV)Gp\frac{P}{z} = \frac{P_i}{z_i} - \left(\frac{P_{sc}T}{T_{sc}V}\right)G_p

Gas Material Balance Equation calculates current pressure to compressibility factor ratio for material balance workflows in reservoir engineering.

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How engineers use this formula

Use this formula when the listed inputs (P_i_z_i, P_sc, T, T_sc, V, G_p) 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, P_z equals 3,983.038462 psi.

P_i_z_ipsi

4000

P_scpsia

14.7

T°R

600

T_sc°R

520

Vft³

1000000000

G_pSCF

1000000000

Inputs

P_i_z_i

psi

Initial Pressure to Compressibility Factor Ratio

P_sc

psia

Standard Pressure

T

°R

Reservoir Temperature

T_sc

°R

Standard Temperature

V

ft³

Original Gas Volume

G_p

SCF

Cumulative Gas Production

Outputs

P_z

psi

Current Pressure to Compressibility Factor Ratio

P_i_z_i

psi

Initial Pressure to Compressibility Factor Ratio

P_sc

psia

Standard Pressure

T

°R

Reservoir Temperature

T_sc

°R

Standard Temperature

V

ft³

Original Gas Volume

G_p

SCF

Cumulative Gas Production

Source and review

reviewed

Ahmed, T., McKinney, P.D. 2005. Advanced Reservoir Engineering, Gulf Publishing of Elsevier, Chapter 3, Page 203.

Source

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