<p>The structural design of the ball valve significantly impacts the maximum pressure-holding capability of pressure-retaining coring tools. In this study, the pressure-bearing structure of the ball valve was optimized, and a theoretical model for its pressure resistance was established. Through numerical simulation, the maximum von Mises stress <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2025_2158_Article_IEq1.gif" Format="GIF" Height="13" Rendition="HTML" Resolution="72" Type="Linedraw" Width="34" /> </InlineMediaObject> <EquationSource Format="TEX">\({\upsigma }_{{\max}}\)</EquationSource> </InlineEquation> and effective seal width S were established as evaluation indicators for the valve’s pressure retention performance. Based on a sensitivity analysis of the ball valve’s structural dimensions, three key design parameters were identified: the valve body inner diameter <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2025_2158_Article_IEq2.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="22" /> </InlineMediaObject> <EquationSource Format="TEX">\({D}_{5}\)</EquationSource> </InlineEquation>, the sealing surface adjustment amount <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2025_2158_Article_IEq3.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="TEX">\({L}_{2}\)</EquationSource> </InlineEquation>, and the pressure surface adjustment amount <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2025_2158_Article_IEq4.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="TEX">\({L}_{6}\)</EquationSource> </InlineEquation>. Using response surface methodology (RSM) and central composite design (CCD), a regression model was developed to correlate&#xa0;<InlineEquation ID="IEq5"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2025_2158_Article_IEq2.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="22" /> </InlineMediaObject> <EquationSource Format="TEX">\({D}_{5}\)</EquationSource> </InlineEquation>,&#xa0;<InlineEquation ID="IEq6"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2025_2158_Article_IEq3.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="TEX">\({L}_{2}\)</EquationSource> </InlineEquation>, and&#xa0;<InlineEquation ID="IEq7"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2025_2158_Article_IEq4.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="TEX">\({L}_{6}\)</EquationSource> </InlineEquation> with&#xa0;<InlineEquation ID="IEq8"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2025_2158_Article_IEq1.gif" Format="GIF" Height="13" Rendition="HTML" Resolution="72" Type="Linedraw" Width="34" /> </InlineMediaObject> <EquationSource Format="TEX">\({\upsigma }_{{\max}}\)</EquationSource> </InlineEquation> and S. The Non-dominated Sorting Genetic Algorithm II (NSGA-II) was then applied for multi-objective optimization, yielding optimal parameters: <InlineEquation ID="IEq9"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2025_2158_Article_IEq2.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="22" /> </InlineMediaObject> <EquationSource Format="TEX">\({D}_{5}\)</EquationSource> </InlineEquation> = 60&#xa0;mm,&#xa0;<InlineEquation ID="IEq10"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2025_2158_Article_IEq3.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="TEX">\({L}_{2}\)</EquationSource> </InlineEquation> = 37&#xa0;mm, and&#xa0;<InlineEquation ID="IEq11"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2025_2158_Article_IEq4.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="TEX">\({L}_{6}\)</EquationSource> </InlineEquation> = 35&#xa0;mm, the corresponding values of&#xa0;<InlineEquation ID="IEq12"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2025_2158_Article_IEq1.gif" Format="GIF" Height="13" Rendition="HTML" Resolution="72" Type="Linedraw" Width="34" /> </InlineMediaObject> <EquationSource Format="TEX">\({\upsigma }_{{\max}}\)</EquationSource> </InlineEquation>&#xa0;and S are 806.67&#xa0;MPa and 11.02&#xa0;mm, respectively. The optimized results were compared with numerical simulations, showing errors of 3.53% for&#xa0;<InlineEquation ID="IEq13"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2025_2158_Article_IEq1.gif" Format="GIF" Height="13" Rendition="HTML" Resolution="72" Type="Linedraw" Width="34" /> </InlineMediaObject> <EquationSource Format="TEX">\({\upsigma }_{{\max}}\)</EquationSource> </InlineEquation>&#xa0;and 6.9% for S, thereby validating the accuracy of the predictive model. Compared to the initial design, the optimized configuration reduced&#xa0;<InlineEquation ID="IEq14"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2025_2158_Article_IEq1.gif" Format="GIF" Height="13" Rendition="HTML" Resolution="72" Type="Linedraw" Width="34" /> </InlineMediaObject> <EquationSource Format="TEX">\({\upsigma }_{{\max}}\)</EquationSource> </InlineEquation> by 8.1% and increased S by 118.2%, significantly enhancing the pressure-bearing strength and sealing performance of the ball valve. This research proposes a novel approach to enhance the pressure-holding capacity of ball valves, providing certain theoretical guidance for improving the performance of pressure-retaining coring equipment.</p>

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Multiobjective optimization of a pressure maintaining ball valve structure based on RSM and NSGA-II

  • Pengyun Wen,
  • Suling Wang,
  • Jinbo Li,
  • Kangxing Dong,
  • Zhihui Ren,
  • Yanchun Li,
  • Ruyi Qu,
  • Tingting Li

摘要

The structural design of the ball valve significantly impacts the maximum pressure-holding capability of pressure-retaining coring tools. In this study, the pressure-bearing structure of the ball valve was optimized, and a theoretical model for its pressure resistance was established. Through numerical simulation, the maximum von Mises stress \({\upsigma }_{{\max}}\) and effective seal width S were established as evaluation indicators for the valve’s pressure retention performance. Based on a sensitivity analysis of the ball valve’s structural dimensions, three key design parameters were identified: the valve body inner diameter \({D}_{5}\) , the sealing surface adjustment amount \({L}_{2}\) , and the pressure surface adjustment amount \({L}_{6}\) . Using response surface methodology (RSM) and central composite design (CCD), a regression model was developed to correlate  \({D}_{5}\) \({L}_{2}\) , and  \({L}_{6}\) with  \({\upsigma }_{{\max}}\) and S. The Non-dominated Sorting Genetic Algorithm II (NSGA-II) was then applied for multi-objective optimization, yielding optimal parameters: \({D}_{5}\) = 60 mm,  \({L}_{2}\) = 37 mm, and  \({L}_{6}\) = 35 mm, the corresponding values of  \({\upsigma }_{{\max}}\)  and S are 806.67 MPa and 11.02 mm, respectively. The optimized results were compared with numerical simulations, showing errors of 3.53% for  \({\upsigma }_{{\max}}\)  and 6.9% for S, thereby validating the accuracy of the predictive model. Compared to the initial design, the optimized configuration reduced  \({\upsigma }_{{\max}}\) by 8.1% and increased S by 118.2%, significantly enhancing the pressure-bearing strength and sealing performance of the ball valve. This research proposes a novel approach to enhance the pressure-holding capacity of ball valves, providing certain theoretical guidance for improving the performance of pressure-retaining coring equipment.