固井套管柱振动响应畸变相似关系确定方法研究

doi:10.3901/JME.2025.07.406

摘要/Abstract

摘要： 为解决原型固井套管柱振动测试试验成本高、难度大的问题，该文提出了一种固井套管柱模型试验畸变相似设计方法。首先，运用有限元法建立固井套管柱动力学模型并基于模态叠加原理进行振动响应求解，然后，通过试验验证动力学模型的正确性和准确性。其次，运用方程分析法推导具有扶正器分布支撑的固井套管柱畸变模型振动响应相似关系。最后，通过数值计算进行不同畸变参数相似比下固井套管柱振动响应相似性分析，结合数值计算分析结果和畸变相似模型试验验证固井套管柱畸变相似关系的正确性。研究表明，该方法能够很好的预测大尺度畸变固井套管柱的固有频率和振动响应，为固井套管柱因等比缩尺造成的壁厚过小而无法加工和试验成本高的问题提出了有效解决方案。

关键词: 固井套管柱, 方程分析法, 振动响应, 相似关系, 模型试验

Abstract: To solve the problem of prototype vibration test’s high cost and difficulty of the cementing casing string vibration test, a similarity design method for cementing casing string distortion model test is proposed. Firstly, the finite element method is used to establish the dynamic model of the cementing casing string, and the vibration response is solved based on the modal superposition principle. Then, the correctness and accuracy of the dynamic model are verified by experiments. Secondly, the equation analysis method is used to derive the similarity relationship of vibration response of cementing casing string distortion model with centralizer distribution support. Finally, the similarity analysis of the vibration response of the cementing casing string under different distortion parameter similarity ratios is carried out by numerical calculation, and the correctness of the distortion similarity relationship of the cementing casing string is verified by the results of numerical calculation analysis and distortion similarity model test. The research reveals that the natural frequency and vibration response of the large-scale distorted cementing casing string can be well predicted by this method, which put forward an effective solution for the problems of too small wall thickness caused by equal scale scaling of cementing casing string to manufacture and the high cost of tests.

Key words: cementing casing string, equation analysis, uibration response, similarity relation, model test

中图分类号:

TE256
O327

齐林山, 尹宜勇, 王立琰, 曲从锋, 于永金, 刘斌辉, 夏修建, 张晓兵, 白翰钦. 固井套管柱振动响应畸变相似关系确定方法研究[J]. 机械工程学报, 2025, 61(7): 406-420.

QI Linshan, YIN Yiyong, WANG Liyan, QU Congfeng, YU Yongjin, LIU Binhui, XIA Xiujian, ZHANG Xiaobing, BAI Hanqin. Research on Determining Method of Distorted Scaling Laws of Vibration Response of Cementing Casing String Distortion Model[J]. Journal of Mechanical Engineering, 2025, 61(7): 406-420.

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