Question:
A vertical wellbore is drilled with a 12.25-inch drill bit. While drilling, the bit could drill a total rock volume of 385 ft\(^3\) in 6.5 hr. After drilling, the hole diameter throughout the depth is found to be 12.49 inch. The average rate of penetration is ____________ ft/hr (rounded off to two decimal places).
A vertical wellbore is drilled with a 12.25-inch drill bit. While drilling, the bit could drill a total rock volume of 385 ft\(^3\) in 6.5 hr. After drilling, the hole diameter throughout the depth is found to be 12.49 inch. The average rate of penetration is ____________ ft/hr (rounded off to two decimal places).
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The average rate of penetration is directly proportional to the volume drilled and inversely proportional to the time taken.
Updated On: Dec 2, 2025
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Correct Answer: 68
Solution and Explanation
The average rate of penetration (ROP) is defined as the volume drilled per unit time. The formula to calculate the ROP is:
\[
\text{ROP} = \frac{\text{Volume drilled}}{\text{Time taken}}.
\]
Given:
- Total volume drilled = 385 ft\(^3\)
- Time taken = 6.5 hours
The average ROP is: \[ \text{ROP} = \frac{385}{6.5} = 59.23 \, \text{ft/hr}. \] Thus, the average rate of penetration is 59.23 ft/hr.
Final Answer: 59.23
- Total volume drilled = 385 ft\(^3\)
- Time taken = 6.5 hours
The average ROP is: \[ \text{ROP} = \frac{385}{6.5} = 59.23 \, \text{ft/hr}. \] Thus, the average rate of penetration is 59.23 ft/hr.
Final Answer: 59.23
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