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Reservoir EngineeringPressure Transient Analysis

Radius of Investigation from Flow Time Formula

ri=kt948ϕμctr_i=\sqrt{\frac{kt}{948\phi\mu c_t}}

Radius of Investigation from Flow Time calculates radius of investigation for pressure transient analysis workflows in reservoir engineering.

Calculate

How engineers use this formula

Use this formula when the listed inputs (k, t, phi, mu, c_t) are known and the assumptions behind the cited pressure transient analysis 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, r_i equals 765.525354 ft.

kmD

50

th

24

phifraction

0.18

mucP

1.2

c_t1/psi

0.00001

Inputs

k

mD

Permeability

t

h

Flow Time

phi

fraction

Porosity

mu

cP

Oil Viscosity

c_t

1/psi

Total Compressibility

Outputs

r_i

ft

Radius of Investigation

k

mD

Permeability

t

h

Flow Time

phi

fraction

Porosity

mu

cP

Oil Viscosity

c_t

1/psi

Total Compressibility

Source and review

reviewed

Matthews, C. S. and Russell, D. G. Pressure Buildup and Flow Tests in Wells, Page 116.

Source

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