The full of reference has shown in https://www.ericcointernational.com/application/borehole-north-finding-shock-vibration-compensation-for-mems-gyroscope.html

Nowadays, MEMS gyroscope is being used more and more widely, and oil drilling is one of them. The borehole north finding system based on MEMS gyro needs to overcome the complex environment, and shock vibration is one of the main factors affecting the measurement accuracy of borehole north finding with MEMS gyroscopes. When shock vibration occurs, MEMS gyro is sensitive not only to the horizontal component of earth rotation, but also to the angular velocity component generated by shock vibration interference. Therefore, in order to improve the precision of north finding while drilling, it is necessary to compensate the error of MEMS gyro under shock vibration. In the following, the influence of vibration on borehole north finding, the application of Mallat algorithm in borehole north finding while drilling system, and the shock vibration error compensation experiment and result analysis of MEMS gyro are discussed.

-Effect of vibration on borehole north finding-

When the drill bit is drilling, it will not only cause the tilting of the base of the north finder, but also cause high frequency interference due to shock vibration. In practice, the situation is very complicated, MEMS gyroscope will be sensitive to other signals in addition to the Earth’s angular rate component, such as drilling the base Angle to produce additional angular speed. The final output of a MEMS gyro consists of a superposition of many signals. In this section, the angle vibration of drilling bit is taken as the main research object, and the error caused by it is analyzed. Bit drilling will make the transverse roller and pitch axis of MEMS gyro do different angular vibration, the specific characteristics are as follows:
β(τ)=βmsinΩτ
γ(τ)=γmcosΩτ

In the formula, βm and γm represent the vibration amplitude of the MEMS attitude meter around the pitch axis and the transverse roller axis, and Ω is the vibration frequency, then the influence angular velocity brought by the drill bit drilling is...


Pls read the reference.