Development and Application of a BHA Vibrations Analysis Model

Meng CUI


BHA lateral vibration has been identified as one limiter that may hinder the rate of penetration (ROP). Based on Newton’s equations of motion and Euler-Bernoulli beam bending equation, a steady-state forced-frequency response dynamic model was developed to analyze vibration performance for a single point mass in the BHA surrogate. Wherein, the connection between points relied on massless springs or dampers. The frequency-domain model more accurately represented actual mechanical states for a particular BHA configuration. On this basis, the state vector for a mass point was calculated by the semi-analytical transfer function matrix method at any given position in the BHA surrogate, which greatly reduced the number of discrete elements and the associated computing time. It caused rapid screening of a large number of design alternatives on a PC. The state vector included the lateral and angular deflections, as well as the beam bending moment and shear load, which were integrated as a dynamic vibration performance index called Lateral Vibration Strength Estimate (LSE) utilized to quantitatively evaluate the lateral vibration state. The field application demonstrates that the methods for modeling bottom hole assembly (BHA) vibration performance during drilling to enable improved design in pre-drill and operation for enhanced drilling rate of penetration, to reduce downhole equipment failure in drilling. Field validation for the surveillance tool was performed by comparing high-frequency downhole memory sensor data (100samples/second data rate).


Lateral vibration; Transfer matrix; LSE; State vector; Quantitatively evaluate

Full Text:



Bill, L., Maja, I., & Firas, Z. (2011). Testing the combination of high frequency surface and downhole drilling mechanics and dynamics data under a variety of drilling conditions. SPE/IADC, 140347. doi: 10.2118/140347-MS

Bailley, J. R., Elsborg, C. C., & James, R. W. (2013). Design evolution of drilling tools to mitigate vibrations, SPE/IADC, 163503. doi: 10.2118/163503-PA

Jacobsen Plutt, L. A., & Pere, A. L. (2009). Achieving improved performance through drilling optimization and vibration management at a GoM development project. SPE/IADC, 119299. doi: 10.2118/119299-MS



  • There are currently no refbacks.

Copyright (c) 2018 cui meng

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.

Share us to:   


  • How to do online submission to another Journal?
  • If you have already registered in Journal A, then how can you submit another article to Journal B? It takes two steps to make it happen:

1. Register yourself in Journal B as an Author

  • Find the journal you want to submit to in CATEGORIES, click on “VIEW JOURNAL”, “Online Submissions”, “GO TO LOGIN” and “Edit My Profile”. Check “Author” on the “Edit Profile” page, then “Save”.

2. Submission

  • Go to “User Home”, and click on “Author” under the name of Journal B. You may start a New Submission by clicking on “CLICK HERE”.

We only use three mailboxes as follows to deal with issues about paper acceptance, payment and submission of electronic versions of our journals to databases:;;

 Articles published in Advances in Petroleum Exploration and Development are licensed under Creative Commons Attribution 4.0 (CC-BY)


Address:1055 Rue Lucien-L'Allier, Unit #772, Montreal, QC H3G 3C4, Canada.

Telephone: 1-514-558 6138
Website: Http://

Copyright © 2010 Canadian Research & Development Centre of Sciences and Cultures