聚能射孔爆轰产生的冲击载荷作用于井下射孔段管柱系统，导致管柱发生屈曲断裂等事故。结合管柱自重、射孔液阻尼、地层围压和爆炸冲击载荷的影响，建立射孔冲击载荷下油管—射孔枪动力学模型，得到射孔段管柱纵向振动微分方程。应用有限元软件，对射孔段管柱进行显示动力学响应分析，并将模拟结果同理论数值解进行对比验证。结果显示，应力波由管柱底端向上传播，管柱等效应力和轴向位移均呈现周期性变化，且逐渐衰减。分析不同油管长度、外径、壁厚和单发装药量对管柱动态响应的影响。基于数值模拟结果，利用MATLAB软件进行多元非线性回归，拟合得到射孔段管柱应力峰值经验公式，并与现场试验数据进行对比，验证公式可靠性。
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.
关键词
冲击载荷 /
射孔管柱 /
振动力学 /
动态响应
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Key words
impact loading /
perforating string /
vibration mechanics /
dynamic response
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