Chaotic Vibration Analysis of the Bottom Rotating Drill String
Drill string vibration is a widely studied topic. This paper developed a real-time measurement system near the drilling bit and extracted the lateral vibration, longitudinal vibration time series of bottom rotating drill string. In order to reconstruct the phase space, we estimated the delay time wi...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2014/429164 |
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| _version_ | 1850223108331405312 |
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| author | Qilong Xue Ruihe Wang Feng Sun Zhiyuan Huang |
| author_facet | Qilong Xue Ruihe Wang Feng Sun Zhiyuan Huang |
| author_sort | Qilong Xue |
| collection | DOAJ |
| description | Drill string vibration is a widely studied topic. This paper developed a real-time measurement system near the drilling bit and extracted the lateral vibration, longitudinal vibration time series of bottom rotating drill string. In order to reconstruct the phase space, we estimated the delay time with mutual information and calculated the embedding dimension through Cao’s method. Finally, the chaotic characterization of the system is analyzed by calculating the correlation dimension and the largest Lyapunov exponent. The results show that such system can exhibit positive finite-time Lyapunov exponents and a clear convergence toward the correlation dimension, which is a strong indicator for the chaotic behavior of the system. It is expected that the new dynamics found in this paper could be of potential implication to the control methods of the drill string vibration. |
| format | Article |
| id | doaj-art-6a6aa4fce736459ca71d49220bc7cc4a |
| institution | OA Journals |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-6a6aa4fce736459ca71d49220bc7cc4a2025-08-20T02:06:05ZengWileyShock and Vibration1070-96221875-92032014-01-01201410.1155/2014/429164429164Chaotic Vibration Analysis of the Bottom Rotating Drill StringQilong Xue0Ruihe Wang1Feng Sun2Zhiyuan Huang3College of Petroleum Engineering, China University of Petroleum, Qingdao 266580, ChinaCollege of Petroleum Engineering, China University of Petroleum, Qingdao 266580, ChinaDrilling Technology Research Institute, Sinopec Shengli Oil field Administration, Dongying 257000, ChinaDrilling Technology Research Institute, Sinopec Shengli Oil field Administration, Dongying 257000, ChinaDrill string vibration is a widely studied topic. This paper developed a real-time measurement system near the drilling bit and extracted the lateral vibration, longitudinal vibration time series of bottom rotating drill string. In order to reconstruct the phase space, we estimated the delay time with mutual information and calculated the embedding dimension through Cao’s method. Finally, the chaotic characterization of the system is analyzed by calculating the correlation dimension and the largest Lyapunov exponent. The results show that such system can exhibit positive finite-time Lyapunov exponents and a clear convergence toward the correlation dimension, which is a strong indicator for the chaotic behavior of the system. It is expected that the new dynamics found in this paper could be of potential implication to the control methods of the drill string vibration.http://dx.doi.org/10.1155/2014/429164 |
| spellingShingle | Qilong Xue Ruihe Wang Feng Sun Zhiyuan Huang Chaotic Vibration Analysis of the Bottom Rotating Drill String Shock and Vibration |
| title | Chaotic Vibration Analysis of the Bottom Rotating Drill String |
| title_full | Chaotic Vibration Analysis of the Bottom Rotating Drill String |
| title_fullStr | Chaotic Vibration Analysis of the Bottom Rotating Drill String |
| title_full_unstemmed | Chaotic Vibration Analysis of the Bottom Rotating Drill String |
| title_short | Chaotic Vibration Analysis of the Bottom Rotating Drill String |
| title_sort | chaotic vibration analysis of the bottom rotating drill string |
| url | http://dx.doi.org/10.1155/2014/429164 |
| work_keys_str_mv | AT qilongxue chaoticvibrationanalysisofthebottomrotatingdrillstring AT ruihewang chaoticvibrationanalysisofthebottomrotatingdrillstring AT fengsun chaoticvibrationanalysisofthebottomrotatingdrillstring AT zhiyuanhuang chaoticvibrationanalysisofthebottomrotatingdrillstring |