Discussion
In a petroleum well the bottom hole temperature at 3.2 km recorded 80°C. The mean surface temperature in the region is 25°C. What will be the geothermal gradient ?
Answer: A
The geothermal gradient is about 17.17°C/km, the first option.
The gradient is the rise in temperature divided by the depth:
\[ \begin{aligned} G &= \frac{80 - 25}{3.2} \\ &= \frac{55}{3.2} \approx 17.2\ ^{\circ}\text{C/km} \end{aligned} \]
The exact quotient is 17.19, and 17.17°C/km is the option that matches it; the others differ by whole tens of degrees per kilometre. 07.17 would be obtained by ignoring most of the temperature rise, and 27.17 or 37.17 by adding to it, so none follows from the data.
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