Vibration mechanics analysis of a perforating string under the influence of multiple factors
YANG Wenwu1,LI Hao1,LIN Yong2,REN Siwu3,ZHANG Zhiliang1,4,XU Shaojun5,LI Fuqiang5
1.School of Mechanical and Electrical Engineering, Southwest Petroleum University, Chengdu 610500, China;
2.Sichuan Baoshi Machinery Petroleum Drill Bit Co., Ltd., Chengdu 610052, China;
3 Downhole Operation Company of CNPC Western Drilling Engineering Co., Ltd., Karamay 834000, China;
4.School of Automation, Chengdu University of Information Technology, Chengdu 610200, China;
5.Engineering Technology Research Institute of China Petroleum Western Drilling Engineering Co., Ltd., Urumqi 830011, China
Abstract：The impact load produced by the shaped charge perforating detonation acts on the downhole perforating string system, causing accidents such as tubing fracture and buckling. The effects of self-weight, perforating fluid damping, stratigraphic confining pressure, and explosive impact load were incorporated, and a dynamic model for the tubing-perforating gun system under perforation impact load was established. The differential equation for longitudinal vibration of the string in the perforation interval was derived. Finite element software was employed to conduct a dynamic response analysis of the perforated interval of the string. The simulated results were compared and validated against theoretical numerical solutions. The results reveal that stress waves propagate from the bottom of the string upward. Both the equivalent stress of the string and the axial displacement exhibit periodic changes and gradually attenuate. Analyzed the effects of different tubing lengths, outer diameters, wall thicknesses, and single explosive quantities of the perforating gun on the dynamic response of the string. Based on the numerical simulation results, the empirical formula for the peak stress of the string in the perforated interval was obtained by fitting with multiple nonlinear regression using MATLAB software. The formula was then compared with the field test data to verify the reliability of the formula.
杨文武1，李浩1，林勇2，任四武3，张智亮1,4，徐少俊5，李富强5. 多因素影响下射孔段管柱振动力学分析[J]. 振动与冲击, 2024, 43(10): 223-229.
YANG Wenwu1,LI Hao1,LIN Yong2,REN Siwu3,ZHANG Zhiliang1,4,XU Shaojun5,LI Fuqiang5. Vibration mechanics analysis of a perforating string under the influence of multiple factors. JOURNAL OF VIBRATION AND SHOCK, 2024, 43(10): 223-229.
[1] 窦益华，朱晓栋，范永均，等. 考虑炸高和相位角影响的射孔枪卡枪及强度流固耦合分析[J]. 振动与冲击，2022, 41(09): 167-173.
DOU Yihua, ZHU Xiaodong, FAN Yongjun, et al. Fluid-solid interaction analysis for perforation gun jamming and strength considering effects of blasting height and phase angle[J]. Journal of Vibration and Shock, 2022, 41(09): 167-173.
[2] 何新兴，陈建波，刘洪涛，等. 射孔管柱断裂失效分析及其控制措施[J]. 测井技术，2021, 45(02): 222-226.
HE Xinxing, CHEN Jianbo, LIU Hongtao, et al. Perforation string fracture failure analysis and its control measures[J]. Well Logging Technology, 2021, 45(02): 222-226.
[3] 高德利，黄文君. 井下管柱力学与控制方法若干研究进展[J]. 力学进展，2021, 51(03): 620-647.
GAO Deli, HUANG Wenjun. Several research advances in downhole string mechanics and control methods[J]. Advances in Mechanics, 2021, 51(03): 620-647.
[4] 李子丰. 油气井管柱冲击动力问题研究概况和发展趋势[J]. 石油学报，2019, 40(05): 604-610.
LI Zifeng. Research situation and development trend of string dynamic shock in oil and gas wells[J]. Acta Petrolei Sinica, 2019, 40(05): 604-610.
[5] CANAL A, REPSOL, MILETTO P. Predicting pressure behavior and dynamic shock loads on completion hardware during perforating [C] // Offshore Technology Conference. Houston: OTC, 2010.
[6] RODGERS J P. Perforation gun string energy propagation management with tuned mass damper: PCT/US12/56164/[P]. 2012-09-19.
[7] Baumann C, Lazaro A, Valdivia P, et al. Perforating gunshock loads-Prediction and mitigation[C]. // Drilling Conference and Exhibition. Netherlands: SPE, 2013.
[8] Baumann C, Williams H, Korf T, et al. Perforating high-pressure deepwater wells in the Gulf of Mexico[C]. // SPE Annual Technical Conference and Exhibition. United states: SPE, 2011.
[9] HOWEVER I. Study on dynamic response of downhole tools under perforation impact load [J]. Shock and Vibration, 2017(2):1-10.
[10] 蔡履忠，赵烜，薛世峰，等. 射孔作业过程管柱结构动态响应分析[J]. 石油矿场机械，2015, 44(05): 26-30.
CAI Lvzhong, ZHAO Xuan, XUE Shifeng, et al. Dynamic response analysis of string structure during perforating process[J]. Oil Field Equipment, 2015, 44(05): 26-30.
[11] 李明飞，徐绯，窦益华. 爆轰冲击载荷作用下射孔段管柱动力响应分析[J]. 振动与冲击，2019, 38(18): 185-191.
LI Mingfei, XU Fei, DOU Yihua. Dynamic response analysis of a perforated pipe string under detonation impact load[J]. Journal of Vibration and Shock, 2019, 38(18): 185-191.
[12] Liu H, Dou Y, Cao L, et al. Dynamic Response Analysis of Tubular String under Perforating Gun-shock Loads[J]. Journal of physics, 2020, 1549(3): 32132.
[13] 徐成.射孔段管柱动力响应模型建立及数值分析[D].西安：西安石油大学，2017.
XU Cheng. Numerical Analysis and Model Establishment of Dynamic Response of Perforating String[D]. Xi'an: Xi'an Shiyou University, 2017.
[14] 于洋，李博，林彬，等. 套管柱-钻井液-水泥浆耦合系统横向振动特性分析[J]. 科学技术与工程，2020, 20(30): 12397-12402.
YU Yang, LI Bo, LIN Bin, et al. Analysis of lateral vibration characteristics of casing-drilling fluid-cement slurry coupling system[J]. Science Technology and Engineering, 2020, 20(30): 12397-12402.
[15] 李元龙，王金相，申向军，等. 水下爆炸冲击波作用下屏蔽装药的冲击引爆理论和仿真研究[J]. 振动与冲击，2019, 38(11): 31-36.
LI Yuanlong, WANG Jinxiang, SHEN Xiangjun, et al. Initiation theory of shield explosive impacted by underwater explosion shock wave and its simulation[J]. Journal of Vibration and Shock, 2019, 38(11): 31-36.
[16] 刘静，王川，郝晨，等. 井下段钻柱耦合振动及钻井液压力分析[J]. 石油机械，2021, 49(07): 16-22.
LIU Jing, WANG Chuan, HAO Chen, et al. Analysis of drill string coupled vibration and drilling fluid pressure in downhole section[J]. China Petroleum Machinery, 2021, 49(07): 16-22.
[17] Zhang Z, Jin W. Finite element modeling of the shaped charge jet and design of the reusable perforating gun[J]. Petroleum Science, 2020, 17(5): 1389-1399.
[18] Zhao X, Duan C, Tang J, et al. Simulation of Jet Penetrating Concrete Target Process[J]. IOP Conference Series, 2019, 267(4): 42013.
[19] 张行，唐步云，刘彤，等. 油气管道柔性测径传感器设计及其结构优化[J]. 仪器仪表学报，2022, 43(12): 15-25.
ZHANG Hang, TANG Buyun, LIU Tong, et al. Design and structural optimization of the flexible sizing sensors for oil and gas pipelines[J]. Chinese Journal of Scientific Instrument, 2022, 43(12): 15-25
