Downhole system for determining a rate of penetration of a downhole tool and related methods

A downhole system for determining a rate of penetration of a drill string, the downhole system comprising:

• a drill string including a drill bit configured to drill through a subterranean formation;
• a first identification tag and at least a second identification tag disposed within a component of a bottomhole assembly of the drill string;
• at least one reader coupled to a member of the drill string and configured to identify a location of the first identification tag and the second identification tag relative to the at least one reader;
• and
• a controller comprising a memory and a processor coupled to the at least one reader, the processor configured to:
• determine a duration between when the at least one reader receives, from each of the first identification tag and the at least a second identification tag, a unique signal comprising identification information associated with each of the respective first identification tag and the at least a second identification tag when the at least one reader is located proximate each of the respective first identification tag and the at least a second identification tag;
• and
• determine a rate of penetration of the drill string based on the duration and a distance between the first identification tag and the at least a second identification tag.

A method of determining a rate of penetration of a drill bit, the method comprising:

• introducing a drill string including a drill bit configured to drill through a subterranean formation in a wellbore, the drill string comprising a static-pitot tube coupled to an inner wall thereof and another static-pitot tube coupled to an outer wall thereof;
• advancing the drill string in a wellbore with the drill bit;
• determining a dynamic pressure of fluid within the drill string and a dynamic pressure of fluid within an annular space between the outer wall of the drill string and a wall of the wellbore;
• and
• determining, using a processor and associated memory, a rate of penetration of the drill string with the processor based at least in part on the dynamic pressure of the fluid within the drill string and the dynamic pressure of the fluid within the annular space.