Estimating formation properties from drill bit motion

1. A method for formation property prediction, comprising:

drilling a borehole into a formation using 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:

measuring one or more parameters of drill bit motion with one or more sensors disposed on an outer surface and within the shank or 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; and

inputting the one or more para meters of the drill bit motion into a formation property prediction model which outputs one or more properties of the formation.

2. The method of claim 1 , further including altering the drilling of the borehole based at least in part on the outputs of the one or more properties of the formation.

3. The method of claim 1 , wherein the formation property prediction model outputs gamma concentration, wherein the one or more parameters of the drill bit motion include at least one a bit wobble, a bit whirl, or revolutions-per-minute.

4. The method of claim 1 , wherein the formation property prediction model outputs hole shape, wherein the one or more parameters include at least one of a bit whirl or a bit wobble.

5. The method of claim 1 , further including updating the formation property prediction model with one or more additional drill bit measurements.

6. The method of claim 5 , wherein the one or more parameters of the drill bit motion are measured with the one or more sensors that include at least one of an accelerometer, a magnetometer unit, or a gyroscope unit.

7. The method of claim 1 , wherein the one or more parameters of the drill bit motion are measured with the one or more sensors that include a gyroscope unit configured to measure pitch and yaw of the drill bit.

8. 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.

9. The method of claim 8 , further comprising updating the data packets with the drill bit measurements.

10. The method of claim 8 , wherein the formation property prediction model predicts gamma concentration in response to an input of at least one a bit wobble, a bit whirl, or revolutions-per-minute.

11. The method of claim 8 , wherein the formation property prediction model outputs hole shape in response to an input of at least one of a bit whirl or a bit wobble.

12. 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.

13. The system of claim 12 , wherein the information handling system is further configured to update the formation property prediction model based at least in part on the output of the one or more properties of the formation.

14. The system of claim 12 , wherein the formation property prediction model is configured to output gamma concentration in response to an input of at least one a bit wobble, a bit whirl, or revolutions-per-minute.

15. The system of claim 12 , wherein the formation property prediction model is configured to output hole shape in response to an input of at least one of a bit whirl or a bit wobble.

16. The system of claim 12 , wherein the gyroscope unit, the magnetometer unit, or an accelerometer measure angular velocity about at least two axes of the drill bit.

17. The system of claim 12 , wherein the gyroscope unit, the magnetometer unit, or an accelerometer measure a bit wobble and the gyroscope unit is configured to measure pitch and yaw of the drill bit.

18. The system of claim 12 , wherein the gyroscope unit, the magnetometer unit, or an accelerometer measure revolutions-per-minute and wherein the gyroscope unit is configured to measure roll of the drill bit.

19. The system of claim 18 , wherein the information handling system is further configured to calculate stick slip from the revolutions-per-minute measurements.

20. The system of claim 12 , wherein the gyroscope unit, the magnetometer unit, or an accelerometer measure a bit wobble.