垂直井中连续管的纵向振动分析
|
摘要
直井中连续管运动时的阻尼较小,如果激励频率与固有频率相同,在较小的周期性激励下就有可能产生较大幅度的振动,这种振动有可能导致连续管的表面损伤,或加速连续管的疲劳损伤。鉴于此,建立了直井中连续管的纵向振动微分方程,经过简化,得到了连续管振动频率的特征方程,通过数值计算可以得到不同长度连续管纵向振动的固有频率。应用差分方法,计算了共振条件下振幅的增长趋势。研究结果表明:连续管下入越深,基频的频率越低;越高阶固有频率的共振,井口连续管应力振幅增加越快;激励力的频率与连续管起升或下降速度成正比,速度越大,共振时井口连续管应力振幅越大。研究结果可为连续管振动损伤预防研究奠定理论基础。
Coiled tubing( CT) suffers small damping in vertical wells. If the excitation frequency is the same as the natural frequency on CT,a large amplitude vibration may occur under a small periodic excitation,which may cause CT surface damage or accelerate CT fatigue damage. In view of this,the longitudinal vibration differential equation of coiled tubing in vertical well is established,which is then simplified to attain the characteristic equation of the CT vibration frequency. The natural frequency of the longitudinal vibration of the CT with different lengths can be obtained by numerical calculation. The difference method is used to calculate the amplitude growth trend under resonance conditions. The results show that deeper CT running results in lower frequency of the fundamental frequency,faster increase of the higher-order natural frequency resonance and the stress amplitude of the coiled tubing at the wellhead. The frequency of the excitation force is proportional to the ROH( run out of hole) or RIH( run in hole)speed of the coiled tubing. Higher speed could result in greater stress amplitude of the coiled tubing at the wellhead during resonance. The study results could lay a theoretical foundation for the study of CT vibration damage prevention.
Coiled tubing( CT) suffers small damping in vertical wells. If the excitation frequency is the same as the natural frequency on CT,a large amplitude vibration may occur under a small periodic excitation,which may cause CT surface damage or accelerate CT fatigue damage. In view of this,the longitudinal vibration differential equation of coiled tubing in vertical well is established,which is then simplified to attain the characteristic equation of the CT vibration frequency. The natural frequency of the longitudinal vibration of the CT with different lengths can be obtained by numerical calculation. The difference method is used to calculate the amplitude growth trend under resonance conditions. The results show that deeper CT running results in lower frequency of the fundamental frequency,faster increase of the higher-order natural frequency resonance and the stress amplitude of the coiled tubing at the wellhead. The frequency of the excitation force is proportional to the ROH( run out of hole) or RIH( run in hole)speed of the coiled tubing. Higher speed could result in greater stress amplitude of the coiled tubing at the wellhead during resonance. The study results could lay a theoretical foundation for the study of CT vibration damage prevention.
引文
[1]CAMPBELL J A.Coiled tubing management system:a review after two years in operation[R].SPE 36339-MS,1996.
[2]STANLEY R K.An analysis of failures in coiled tubing[C]∥Presented at IADC/SPE Drilling Conference.Dallas,Texas,March 3-6,1998.
[3]ADRICHEM V W.Coiled tubing failure statistics used to develop CT performance indicators[R].SPE 78808-PA,2002.
[4]BURGOS R,MATTOS R,BULLOCH S.Delivering value for tracking coiled-tubing failure statistics[C]∥Presented at SPE/ICo TA Coiled Tubing&Well Intervention Conference&Exhibition.The Woodlands,Texas,March 20-21,2007.
[5]CRABTREE A R.CT-failure monitoring:a decade of experience[C]∥Presented at SPE/ICo TA Coiled Tubing&Well Intervention Conference&Exhibition.The Woodlands,Texas,April 1-2,2008.
[6]PADRON T,CRAIG S H.Past and present coiled tubing string failures-history and recent new failures mechanisms[C]∥Presented at the SPE/ICo TACoiled Tubing&Well Intervention Conference&Exhibition held in The Woodlands.TX,USA,March 27-28,2018.
[7]张辉,柯珂,王磊.深水钻井作业管柱纵向振动载荷分析[J].石油机械,2014,42(4):38-42.ZHANG H,KE K,WANG L.Analysis of the longitudinal vibration load of deepwater drilling string[J].China Petroleum Machinery,2014,42(4):38-42.
[8]巨全利,仝少凯.高产气井完井管柱纵向振动特性分析[J].钻采工艺,2014,37(2):79-82.JU Q L,TONG S K.Longitudinal vibration characteristics analysis of completion tubing string in high gas rate well[J].Drilling&Production Technology,2014,37(2):79-82.
[9]阳明君,李海涛,蒋睿,等.尤拉屯高产气井完井管柱振动损伤研究[J].西南石油大学学报(自然科学版),2016,38(1):158-163.YANG M J,LI H T,JIANG R,et al.Research on vibration damage of completion string in Yolotan high-yield gas well[J].Journal of Southwest Petroleum University(Science&Technology Edition),2016,38(1):158-163.
[10]周志宏,余礼.注入头链条传动中各夹持块提升力的分布[J].石油机械,2018,46(4):13-16.ZHOU Z H,YU L.Distribution of gripper lift force during chain transmitting in coiled tubing injector head[J].China Petroleum Machinery,2018,46(4):13-16.
[11]梁昆淼.数学物理方法[M].4版.北京:高等教育出版社,2010.
[12]胡志强,杨高,刘菲,等.连续管夹持力学特性研究[J].石油机械,2016,44(11):89-93.HU Z Q,YANG G,LIU F,et al.Study on mechanical properties of coiled tubing under clamping state[J].China Petroleum Machinery,2016,44(11):89-93.
[13]李银银,周志宏,臧传贞,等.连续管卷绕破坏分析[J].石油机械,2015,43(10):81-85.LI Y Y,ZHOU Z H,ZANG C Z,et al.Analysis of coiled tubing failure caused by winding[J].China Petroleum Machinery,2015,43(10):81-85.
[2]STANLEY R K.An analysis of failures in coiled tubing[C]∥Presented at IADC/SPE Drilling Conference.Dallas,Texas,March 3-6,1998.
[3]ADRICHEM V W.Coiled tubing failure statistics used to develop CT performance indicators[R].SPE 78808-PA,2002.
[4]BURGOS R,MATTOS R,BULLOCH S.Delivering value for tracking coiled-tubing failure statistics[C]∥Presented at SPE/ICo TA Coiled Tubing&Well Intervention Conference&Exhibition.The Woodlands,Texas,March 20-21,2007.
[5]CRABTREE A R.CT-failure monitoring:a decade of experience[C]∥Presented at SPE/ICo TA Coiled Tubing&Well Intervention Conference&Exhibition.The Woodlands,Texas,April 1-2,2008.
[6]PADRON T,CRAIG S H.Past and present coiled tubing string failures-history and recent new failures mechanisms[C]∥Presented at the SPE/ICo TACoiled Tubing&Well Intervention Conference&Exhibition held in The Woodlands.TX,USA,March 27-28,2018.
[7]张辉,柯珂,王磊.深水钻井作业管柱纵向振动载荷分析[J].石油机械,2014,42(4):38-42.ZHANG H,KE K,WANG L.Analysis of the longitudinal vibration load of deepwater drilling string[J].China Petroleum Machinery,2014,42(4):38-42.
[8]巨全利,仝少凯.高产气井完井管柱纵向振动特性分析[J].钻采工艺,2014,37(2):79-82.JU Q L,TONG S K.Longitudinal vibration characteristics analysis of completion tubing string in high gas rate well[J].Drilling&Production Technology,2014,37(2):79-82.
[9]阳明君,李海涛,蒋睿,等.尤拉屯高产气井完井管柱振动损伤研究[J].西南石油大学学报(自然科学版),2016,38(1):158-163.YANG M J,LI H T,JIANG R,et al.Research on vibration damage of completion string in Yolotan high-yield gas well[J].Journal of Southwest Petroleum University(Science&Technology Edition),2016,38(1):158-163.
[10]周志宏,余礼.注入头链条传动中各夹持块提升力的分布[J].石油机械,2018,46(4):13-16.ZHOU Z H,YU L.Distribution of gripper lift force during chain transmitting in coiled tubing injector head[J].China Petroleum Machinery,2018,46(4):13-16.
[11]梁昆淼.数学物理方法[M].4版.北京:高等教育出版社,2010.
[12]胡志强,杨高,刘菲,等.连续管夹持力学特性研究[J].石油机械,2016,44(11):89-93.HU Z Q,YANG G,LIU F,et al.Study on mechanical properties of coiled tubing under clamping state[J].China Petroleum Machinery,2016,44(11):89-93.
[13]李银银,周志宏,臧传贞,等.连续管卷绕破坏分析[J].石油机械,2015,43(10):81-85.LI Y Y,ZHOU Z H,ZANG C Z,et al.Analysis of coiled tubing failure caused by winding[J].China Petroleum Machinery,2015,43(10):81-85.