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Reservoir EngineeringPressure Transient AnalysisIn-depth reference

Radius of Investigation Calculator

ri=0.0359ktϕμctr_i=0.0359\sqrt{\frac{kt}{\phi\mu c_t}}

Enter the required inputs, confirm the units, and run the calculator to solve r_i. Review the formula source and assumptions before using the result in engineering work.

Tabular solver

Inputs

Defaults provide a quick field-unit example for the equation.

5 variables

Your input values and calculation stay in this browser.

Engineering reference summary

Calculation context and source notes

Radius of Investigation calculates radius of investigation for pressure transient analysis workflows in reservoir engineering. The page keeps the declared variables, units, source relationship, and output definition visible for technical review.

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.

Solves for

r_i (ft)

Formula reference

Formula, variables, and default calculation

ri=0.0359ktϕμctr_i=0.0359\sqrt{\frac{kt}{\phi\mu c_t}}

Reproducible default result

With the default values shown below, the calculation returns r_i = 846.171115 ft. Defaults demonstrate the implementation; they are not recommended field values.

kmD

50

th

24

phifraction

0.18

mucP

1.2

c_t1/psi

0.00001

Input definitions

k

mD

Permeability

t

h

Elapsed Investigation Time

phi

fraction

Porosity

mu

cP

Fluid Viscosity

c_t

1/psi

Total Compressibility

Output definitions

r_i

ft

Radius of Investigation

k

mD

Permeability

t

h

Elapsed Investigation Time

phi

fraction

Porosity

mu

cP

Fluid Viscosity

c_t

1/psi

Total Compressibility

Engineering use, assumptions, and limits

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.

Frequently asked questions

What inputs does the Radius of Investigation calculator need?

The calculation uses Permeability (k), Elapsed Investigation Time (t), Porosity (phi), Fluid Viscosity (mu), Total Compressibility (c_t). Enter values on the units shown beside each field.

What result does this calculator return?

The primary result is radius of investigation in ft. The formula section shows the declared relationship, variables, and a reproducible default calculation.

What should I check before using the result?

Confirm the unit basis, source applicability, and input quality. The calculation does not replace a full engineering model or operating procedure. Mixing unit systems without converting the inputs.

Source and record status

Source metadata identifies the relationship implemented by the calculator. Check the cited edition, unit basis, and scope against the engineering case before operational use.

reviewedguidance published

Ahmed, T. and McKinney, P. D. Advanced Reservoir Engineering, Gulf Publishing of Elsevier, Chapter 1, Page 134.

Open source reference

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