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PetrophysicsElectrical Properties

Electric Resistance to Radial Current from a Wellbore Formula

Re=ln(re/rw)2πhσR_e=\frac{\ln(r_e/r_w)}{2\pi h\sigma}

Electric Resistance to Radial Current from a Wellbore calculates electric resistance to radial current for electrical properties workflows in petrophysics.

Calculate

How engineers use this formula

Use this formula when the listed inputs (r_e, r_w, h, sigma_e) are known and the assumptions behind the cited electrical properties 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_e equals 1.209721 ohm.

r_eft

1000

r_wft

0.5

hft

50

sigma_e1/(ohm ft)

0.02

Inputs

r_e

ft

Drainage Radius

r_w

ft

Wellbore Radius

h

ft

Reservoir Height

sigma_e

1/(ohm ft)

Electric Conductivity

Outputs

R_e

ohm

Electric Resistance to Radial Current

h

ft

Reservoir Height

sigma_e

1/(ohm ft)

Electric Conductivity

Source and review

reviewed

Prats, M. 1986. Thermal Recovery. Society of Petroleum Engineers, Chapter 14, Page 188.

Source

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