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Reservoir EngineeringWell Performance

Deliverability Equation for Shallow Gas Reservoirs Formula

C=kh1422Tμgz(ln(rerw)0.5)C = \frac{k \cdot h}{1422 \cdot T \cdot \mu_g \cdot z \cdot \left(\ln\left(\frac{r_e}{r_w}\right) - 0.5\right)}

Deliverability Equation for Shallow Gas Reservoirs calculates performance coefficient for well performance workflows in reservoir engineering.

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How engineers use this formula

Use this formula when the listed inputs (k, h, T, mu_g, z, re, rw) are known and the assumptions behind the cited well performance 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, C equals 0.052256 dimensionless.

kmD

100

hft

50

T°R

520

mu_gcP

0.02

zdimensionless

0.85

reft

1000

rwft

0.3

Inputs

k

mD

Permeability

h

ft

Reservoir Thickness

T

°R

Reservoir Temperature

mu_g

cP

Gas Viscosity

z

dimensionless

Gas Compressibility Factor

re

ft

Drainage Radius

rw

ft

Wellbore Radius

Outputs

C

dimensionless

Performance Coefficient

k

mD

Permeability (rearranged)

h

ft

Reservoir Thickness (rearranged)

T

°R

Reservoir Temperature (rearranged)

mu_g

cP

Gas Viscosity (rearranged)

z

dimensionless

Gas Compressibility Factor (rearranged)

re

ft

Drainage Radius (rearranged)

rw

ft

Wellbore Radius (rearranged)

Source and review

reviewed

Ahmed, T., McKinney, P.D. (2005). Advanced Reservoir Engineering, Gulf Publishing of Elsevier, Chapter: 3, Page: 287.

Source

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