Wellbore electric voltage generation

Input(s)

$V_{e, w}$: Electric Voltage at Wellbore Radius (V)

$\Delta V_{e}$: Voltage Drop Between Wellbore Radius and Drainage Radius (V)

$\mathrm{r}$: Specific Location $(\mathrm{ft})$

$r_{e}$: Drainage Radius $(\mathrm{ft})$

$r_{w}$: Wellbore Radius $(\mathrm{ft})$

Output(s)

V: Voltage (V)

Formula(s)

$$ V=V_{e, w}-\Delta V_{e} *\left[\frac{\ln \left(\frac{r}{r_{w}}\right)}{\ln \left(\frac{r_{e}}{r_{w}}\right)}\right] $$

Reference(s)

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