Vibration error modeling while drilling based on the H model

YANG Jinxian,ZHAO Chun

Journal of Vibration and Shock ›› 2021, Vol. 40 ›› Issue (20) : 56-62.

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Journal of Vibration and Shock ›› 2021, Vol. 40 ›› Issue (20) : 56-62.

Vibration error modeling while drilling based on the H model

  • YANG Jinxian,ZHAO Chun
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Abstract

During measurement while drilling (MWD), the vibration of drilling tools can distort the measured signal of acceleration.To make up for measurement error, obtain the true acceleration while drilling, a nonlinear vibration error model needs to be established.In consideration of various vibration forms of drilling tools, it is difficult to construct a unified model to conduct research.In this work, vibration was treated as a kind of colored noise, and a Hammerstein (H)-based acceleration random vibration error model was proposed on the condition that intermediate variables are unmeasurable.The proposed model uses an improved recursive Bayes algorithm to identify the estimated values of parameter vectors online, merely with a small amount of input and output.Meanwhile, the model introduces conditional thresholds and adjustment coefficients, and associates the drill bit’s motion state during MWD with the adjustment coefficients to modify the proposed model and improve the identification sensitivity.The experimental results show that the model fits the acceleration random vibration error sequence well, which verifies the effectiveness and reliability.

Key words

acceleration while drilling / Hammerstein model / random vibration / error modeling

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YANG Jinxian,ZHAO Chun. Vibration error modeling while drilling based on the H model[J]. Journal of Vibration and Shock, 2021, 40(20): 56-62

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