基于响应面法的分级注水泥器结构优化

Structural Optimization of Stage Cementing Collar Based on the Response Surface Methodology

分级注水泥器在实际使用过程中结构刚度不能完全达到固井需求,经常由于结构变形造成循环孔打开或关闭失败。为此,采用响应面优化方法对分级注水泥器本体和滑套的5个关键尺寸参数进行改进,以达到提高结构刚度的目的。优化结果表明:采用拉丁超立方试验设计法的计算结果拟合出滑套最大变形量与质量,本体总变形、径向变形及质量的响应曲面;根据拟合的响应面,通过多目标遗传算法预测出滑套和本体设计变量的最优参数组合,并进一步构建了相应的优化模型;通过对滑套及本体进行热流固耦合分析可得,优化后滑套最大变形量减少了47.3%,本体最大总变形量减少了32.0%,本体最大径向变形量减少了62.7%。所得结论可为分级注水泥器设计提供理论参考。

The structural stiffness of the stage cementing collar cannot meet the requirement during applications, and the sliding sleeve often fails to open or close ports, due to structural deformation.Given this, the optimization of five key dimension parameters of the main part of the stage cementing collar and sliding sleeve are optimized via the response surface methodology, to improve the structural stiffness.Based on the calculation results of the Latin hypercube test design method, the response surfaces of the maximum deformation and mass of the sliding sleeve and the total deformation, radial deformation and mass of the main cementing collar are fitted.Moreover, according to the fitted response surfaces, the optimal parameter combination of design variables of the sliding sleeve and main cementing collar are identified using the multi-objective genetic algorithm, and the corresponding optimization model is developed.The thermal-fluid-solid coupling analysis is performed for the sliding sleeve and main cementing collar, respectively, which shows that the maximum deformation of the sliding sleeve reduces by 47.3% after optimization;the maximum total deformation of the main cementing collar shrinks by 32.0%,and the corresponding maximum radial deformation, by 62.7%.The findings of this research provide theoretical references for the design of stage cementing collars.