Methods for estimating downhole weight on bit and rate of penetration using acceleration measurements

1. A method of estimating one or more downhole qualities of a drilling apparatus, the method comprising:

obtaining axial acceleration data downhole by measuring an axial acceleration of a bottom hole assembly;

using the downhole axial acceleration data to estimate a first one or more downhole qualities of the drilling apparatus, the first one or more downhole qualities comprising one or more of:

a first downward weight on a drill bit of the drilling apparatus; or

a first rate of penetration of the drill bit;

acquiring training data at least in part by measuring from a surface a second one or more downhole qualities, the second one or more downhole qualities comprising one or more of:

a second downward weight on the drill bit; or

a second rate of penetration of the drill bit; and

using the training data to train an artificial intelligence model to estimate a third one or more downhole qualities, the third one or more downhole qualities comprising one or more of:

a third downward weight on the drill bit; or

a third rate of penetration of the drill bit.

2. The method of claim 1 , wherein the axial acceleration is measured using one or more single source sensors.

3. The method of claim 1 , wherein the axial acceleration is measured via one or more direct measurements of axial acceleration or one or more indirect measurements of axial acceleration.

4. The method of claim 3 , wherein the one or more indirect measurements of axial acceleration are acquired by estimating, calculating, or measuring axial acceleration based at least in part on data representing one or more vibrations of the bottom hole assembly.

5. The method of claim 4 , wherein an excitation frequency of the bottom hole assembly's axial vibrations is estimated, calculated, or measured based at least in part on a frequency of the bottom hole assembly's stick slip vibrations.

6. The method of claim 1 , further comprising acquiring one or more additional inputs, the one or more additional inputs comprising one or more of a rotational velocity of the drill bit, a position of the drill bit, an angle of inclination of the drill bit, an azimuth of the drill bit, a flow rate, one or more formation indicators, a mass of the bottom hole assembly, a mass of a drill pipe system, a cumulative length of a drill pipe, a speed of sound in the drill pipe, or a stick-slip index.

7. The method of claim 6 , wherein estimating the first one or more downhole qualities is performed by using the axial acceleration data in conjunction with the one or more additional inputs.

8. The method of claim 1 , further comprising using the first rate of penetration of the drill bit to improve directional control of the bottom hole assembly.

9. A system for estimating one or more downhole qualities of a drilling apparatus, the system comprising:

a bottom hole assembly;

one or more downhole sensors disposed upon the bottom hole assembly;

at least one drill bit disposed upon the bottom hole assembly; and

an information handling system in electronic communication with the one or more downhole sensors, the information handling system comprising:

a processor, and

a non-transitory computer readable medium for storing one or more instructions that, when executed, causes the processor to:

obtain axial acceleration data downhole by measuring, via the one or more downhole sensors, an axial acceleration of the bottom hole assembly; and

use the downhole axial acceleration data to estimate a first one or more downhole qualities of the drilling apparatus, the first one or more downhole qualities comprising one or more of:

a first downward weight on the drill bit; or

a first rate of penetration of the drill bit;

acquire training data at least in part by measuring from a surface a second one or more downhole qualities, the second one or more downhole qualities comprising one or more of:

a second downward weight on the drill bit; or

a second rate of penetration of the drill bit; and

use the training data to train an artificial intelligence model to estimate a third one or more downhole qualities, the third one or more downhole qualities comprising one or more of:

a third downward weight on the drill bit; or

a third rate of penetration of the drill bit.

10. The system of claim 9 , wherein the one or more downhole sensors are single source sensors.

11. The system of claim 9 , wherein the axial acceleration is measured via one or more direct measurements of axial acceleration or one or more indirect measurements of axial acceleration.

12. The system of claim 11 , wherein the one or more indirect measurements of axial acceleration are acquired by estimating, calculating, or measuring axial acceleration based at least in part on data representing one or more vibrations of the bottom hole assembly.

13. The system of claim 12 , wherein an excitation frequency of the bottom hole assembly's axial vibrations is estimated, calculated, or measured based at least in part on a frequency of the bottom hole assembly's stick slip vibrations.

14. The system of claim 9 , further comprising acquiring one or more additional inputs, the one or more additional inputs comprising one or more of a rotational velocity of the drill bit, a position of the drill bit, an angle of inclination of the drill bit, an azimuth of the drill bit, a flow rate, one or more formation indicators, a mass of the bottom hole assembly, a mass of a drill pipe system, a cumulative length of a drill pipe, a speed of sound in the drill pipe, or a stick-slip index.

15. The system of claim 14 , wherein estimating the first one or more downhole qualities is performed by using the axial acceleration data in conjunction with the one or more additional inputs.

16. The system of claim 9 , further comprising using the first rate of penetration of the drill bit to improve directional control of the bottom hole assembly.