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.

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