Theoretical Modeling and Experimental Study of the Whirling Motion of Casing Drilling

  • Yinping CaoEmail author
  • Stefan Miska
  • Yihua Dou
Conference paper
Part of the Springer Series in Geomechanics and Geoengineering book series (SSGG)


In casing drilling, with the increase in rotary speed, the motion pattern of casing will transform from rotating about its own axis to wobbling and subsequently even to whirling. Energy method was adopted to calculate the critical whirling speed of casing for both pinned-pinned and fixed-fixed supports. Experiments were conducted under a realistic wellbore–casing configuration on a unique experimental setup located at the University of Tulsa. With the advantage of the transparent wellbore, observational tests were conducted to see the motion pattern of casing under different cases. For the first time, the orbital motion of casing was observed, which can be used to give a better understanding of smearing effect of casing drilling. The mathematical modeling and experimental results are very useful for casing size selection and rotary speed control.


Whirling motion Casing drilling Critical whirling speed Energy method 



Length of the casing between the two supports


Strain energy of bending


Done by the external thrust force


Done by the centrifugal force


Bending stiffness of casing

\( \omega \)

Rotary speed of casing


Thrust force


Reaction force at the support point


Weight per unit length


Length between support point and contact point


Clearance between casing and wellbore



The paper is supported by Chinese National Natural Science Foundation (51404198) and Natural Science Foundation of Shaanxi Province, China (2014JQ7289). The authors are thankful to the University of Tulsa Drilling Research Projects for the technical and facility supports.


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Copyright information

© Springer Nature Singapore Pte Ltd. 2019

Authors and Affiliations

  1. 1.Xi’an Shiyou UniversityXi’anChina
  2. 2.The University of TulsaTulsaUSA

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