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PetrophysicsElectrical Properties

Wellbore Electric Voltage Generation Formula

V=Ve,wΔVeln(r/rw)ln(re/rw)V=V_{e,w}-\Delta V_e\frac{\ln(r/r_w)}{\ln(r_e/r_w)}

Wellbore Electric Voltage Generation calculates voltage for electrical properties workflows in petrophysics.

Calculate

How engineers use this formula

Use this formula when the listed inputs (V_e_w, DeltaV_e, r, r_e, r_w) 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, V equals 1.651468 V.

V_e_wV

2

DeltaV_eV

0.5

rft

100

r_eft

1000

r_wft

0.5

Inputs

V_e_w

V

Electric Voltage at Wellbore Radius

DeltaV_e

V

Voltage Drop Between Wellbore Radius and Drainage Radius

r

ft

Specific Radial Location

r_e

ft

Drainage Radius

r_w

ft

Wellbore Radius

Outputs

V

V

Voltage

V_e_w

V

Electric Voltage at Wellbore Radius

DeltaV_e

V

Voltage Drop Between Wellbore Radius and Drainage Radius

r

ft

Specific Radial Location

r_e

ft

Drainage Radius

Source and review

reviewed

Thermal Recovery, Prats, M. (1986)

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

Source

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