Estimating formation properties from drill bit motion

A method for forming a formation property model, comprising:

• acquiring one or more formation properties and one or more parameters of drill bit motion using one or more sensors disposed on an outer surface and within a shank or a bit body of a drill bit, the drill bit comprising a through bore that traverses through the shank and the bit body, wherein the one or more sensors are connected to a sensor subassembly by one or more channels that are inside the bit body, wherein the sensor subassembly is attached to an inner surface of the through bore adjacent to the one or more sensors;
• forming one or more data packets that comprise the one or more formation properties and the one or more parameters of drill bit motion;
• storing the one or more data packets in a database;
• and
• correlating the one or more data packets in the database to form the formation property prediction model that predicts a formation property based at least in part on drill bit measurements.

A system comprising:

• a drill bit, wherein the drill bit comprises a shank, a bit body, and a through bore that traverses through the shank and the bit body;
• one or more sensors disposed on an outer surface and within the shank or the bit body are connected to a sensor subassembly by one or more channels that are inside the bit body, wherein the sensor subassembly is attached to an inner surface of the through bore;
• a gyroscope unit coupled to the drill bit in a known positional relationship;
• a magnetometer unit coupled to the drill bit;
• and
• an information handling system configured to:
• record one or more parameters of a drill bit motion from at least the gyroscope unit and the magnetometer unit;
• input the one or more parameters of the drill bit motion into a formation property prediction model;
• and
• output one or more properties of the formation.