Modified Leakage Rate Calculation Models of Natural Gas Pipelines
The leakage rate is an essential parameter for the risk assessment and failure analysis of natural gas pipelines. The leakage rate of a natural gas pipeline should be calculated quickly and accurately to minimize consequences. First, in this study, models to estimate the leakage rate of natural gas...
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| Veröffentlicht in: | Mathematical problems in engineering 2020, Vol.2020 (2020), p.1-10 |
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| creator | Xiao, Guanghua Li, Xiaoyan Yang, Daheng Hou, Qingmin Ho, Siu Chun Michael |
| description | The leakage rate is an essential parameter for the risk assessment and failure analysis of natural gas pipelines. The leakage rate of a natural gas pipeline should be calculated quickly and accurately to minimize consequences. First, in this study, models to estimate the leakage rate of natural gas pipelines are reclassified, and the theoretical range of application for each model is also analysed. Second, the impact of the leakage on the flow rate upstream of the leak point is considered, and the method of successive approximation is used to realize this feedback effect of flow rate change. Then, a modified hole-pipe model is developed to calculate the natural gas leakage rate in this paper. Compared with the leakage rate calculated by the hole-pipe model, the leakage rate calculated by the modified hole-pipe model is smaller and closer to the actual leakage rate due to the consideration of the feedback effect of the flow rate change. Finally, the leakage rate curves of the hole-pipe model and the modified hole-pipe model under different d/D conditions are obtained through simulation. The simulation results show that the modified hole-pipe model is able to calculate the leakage rate of any leak aperture, such as the hole-pipe model, and also at a higher accuracy level than the hole-pipe model. |
| doi_str_mv | 10.1155/2020/6673107 |
| format | Article |
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The leakage rate of a natural gas pipeline should be calculated quickly and accurately to minimize consequences. First, in this study, models to estimate the leakage rate of natural gas pipelines are reclassified, and the theoretical range of application for each model is also analysed. Second, the impact of the leakage on the flow rate upstream of the leak point is considered, and the method of successive approximation is used to realize this feedback effect of flow rate change. Then, a modified hole-pipe model is developed to calculate the natural gas leakage rate in this paper. Compared with the leakage rate calculated by the hole-pipe model, the leakage rate calculated by the modified hole-pipe model is smaller and closer to the actual leakage rate due to the consideration of the feedback effect of the flow rate change. Finally, the leakage rate curves of the hole-pipe model and the modified hole-pipe model under different d/D conditions are obtained through simulation. The simulation results show that the modified hole-pipe model is able to calculate the leakage rate of any leak aperture, such as the hole-pipe model, and also at a higher accuracy level than the hole-pipe model.</description><identifier>ISSN: 1024-123X</identifier><identifier>EISSN: 1563-5147</identifier><identifier>DOI: 10.1155/2020/6673107</identifier><language>eng</language><publisher>Cairo, Egypt: Hindawi Publishing Corporation</publisher><subject>Approximation ; Failure analysis ; Feedback ; Flow velocity ; Gas pipelines ; Impact analysis ; Leakage ; Mathematical models ; Mathematical problems ; Model accuracy ; Natural gas ; Pipes ; Reservoirs ; Risk assessment</subject><ispartof>Mathematical problems in engineering, 2020, Vol.2020 (2020), p.1-10</ispartof><rights>Copyright © 2020 Qingmin Hou et al.</rights><rights>Copyright © 2020 Qingmin Hou et al. This is an open access article distributed under the Creative Commons Attribution License (the “License”), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. https://creativecommons.org/licenses/by/4.0</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c360t-b3a506a3785b6778a84874de1c2a29f0bd4cf5ac735f2c2456641800b7fea1193</citedby><cites>FETCH-LOGICAL-c360t-b3a506a3785b6778a84874de1c2a29f0bd4cf5ac735f2c2456641800b7fea1193</cites><orcidid>0000-0003-3615-1292</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,778,782,4012,27906,27907,27908</link.rule.ids></links><search><contributor>Wang, Yufei</contributor><contributor>Yufei Wang</contributor><creatorcontrib>Xiao, Guanghua</creatorcontrib><creatorcontrib>Li, Xiaoyan</creatorcontrib><creatorcontrib>Yang, Daheng</creatorcontrib><creatorcontrib>Hou, Qingmin</creatorcontrib><creatorcontrib>Ho, Siu Chun Michael</creatorcontrib><title>Modified Leakage Rate Calculation Models of Natural Gas Pipelines</title><title>Mathematical problems in engineering</title><description>The leakage rate is an essential parameter for the risk assessment and failure analysis of natural gas pipelines. The leakage rate of a natural gas pipeline should be calculated quickly and accurately to minimize consequences. First, in this study, models to estimate the leakage rate of natural gas pipelines are reclassified, and the theoretical range of application for each model is also analysed. Second, the impact of the leakage on the flow rate upstream of the leak point is considered, and the method of successive approximation is used to realize this feedback effect of flow rate change. Then, a modified hole-pipe model is developed to calculate the natural gas leakage rate in this paper. Compared with the leakage rate calculated by the hole-pipe model, the leakage rate calculated by the modified hole-pipe model is smaller and closer to the actual leakage rate due to the consideration of the feedback effect of the flow rate change. Finally, the leakage rate curves of the hole-pipe model and the modified hole-pipe model under different d/D conditions are obtained through simulation. The simulation results show that the modified hole-pipe model is able to calculate the leakage rate of any leak aperture, such as the hole-pipe model, and also at a higher accuracy level than the hole-pipe model.</description><subject>Approximation</subject><subject>Failure analysis</subject><subject>Feedback</subject><subject>Flow velocity</subject><subject>Gas pipelines</subject><subject>Impact analysis</subject><subject>Leakage</subject><subject>Mathematical models</subject><subject>Mathematical problems</subject><subject>Model accuracy</subject><subject>Natural gas</subject><subject>Pipes</subject><subject>Reservoirs</subject><subject>Risk assessment</subject><issn>1024-123X</issn><issn>1563-5147</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><sourceid>RHX</sourceid><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GNUQQ</sourceid><recordid>eNqF0E1Lw0AQgOFFFKzVm2dZ8KixO_vdYym1CvUDUfAWJsmubo1JzSaI_96UFDx6mjk8zMBLyCmwKwClJpxxNtHaCGBmj4xAaZEokGa_3xmXCXDxekiOYlwzxkGBHZHZXV0EH1xBVw4_8M3RJ2wdnWOZdyW2oa5oL1wZae3pPbZdgyVdYqSPYePKULl4TA48ltGd7OaYvFwvnuc3yepheTufrZJcaNYmmUDFNApjVaaNsWilNbJwkHPkU8-yQuZeYW6E8jznUmktwTKWGe8QYCrG5Hy4u2nqr87FNl3XXVP1L1MujbTKWmV6dTmovKljbJxPN034xOYnBZZuI6XbSOkuUs8vBv4eqgK_w3_6bNCuN87jn4apAbDiF_X0bjM</recordid><startdate>2020</startdate><enddate>2020</enddate><creator>Xiao, Guanghua</creator><creator>Li, Xiaoyan</creator><creator>Yang, Daheng</creator><creator>Hou, Qingmin</creator><creator>Ho, Siu Chun Michael</creator><general>Hindawi Publishing Corporation</general><general>Hindawi</general><general>Hindawi Limited</general><scope>ADJCN</scope><scope>AHFXO</scope><scope>RHU</scope><scope>RHW</scope><scope>RHX</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7TB</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>CWDGH</scope><scope>DWQXO</scope><scope>FR3</scope><scope>GNUQQ</scope><scope>HCIFZ</scope><scope>JQ2</scope><scope>K7-</scope><scope>KR7</scope><scope>L6V</scope><scope>M7S</scope><scope>P5Z</scope><scope>P62</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><orcidid>https://orcid.org/0000-0003-3615-1292</orcidid></search><sort><creationdate>2020</creationdate><title>Modified Leakage Rate Calculation Models of Natural Gas Pipelines</title><author>Xiao, Guanghua ; Li, Xiaoyan ; Yang, Daheng ; Hou, Qingmin ; Ho, Siu Chun Michael</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c360t-b3a506a3785b6778a84874de1c2a29f0bd4cf5ac735f2c2456641800b7fea1193</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Approximation</topic><topic>Failure analysis</topic><topic>Feedback</topic><topic>Flow velocity</topic><topic>Gas pipelines</topic><topic>Impact analysis</topic><topic>Leakage</topic><topic>Mathematical models</topic><topic>Mathematical problems</topic><topic>Model accuracy</topic><topic>Natural gas</topic><topic>Pipes</topic><topic>Reservoirs</topic><topic>Risk assessment</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Xiao, Guanghua</creatorcontrib><creatorcontrib>Li, Xiaoyan</creatorcontrib><creatorcontrib>Yang, Daheng</creatorcontrib><creatorcontrib>Hou, Qingmin</creatorcontrib><creatorcontrib>Ho, Siu Chun Michael</creatorcontrib><collection>الدوريات العلمية والإحصائية - e-Marefa Academic and Statistical Periodicals</collection><collection>معرفة - المحتوى العربي الأكاديمي المتكامل - e-Marefa Academic Complete</collection><collection>Hindawi Publishing Complete</collection><collection>Hindawi Publishing Subscription Journals</collection><collection>Hindawi Publishing Open Access</collection><collection>CrossRef</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>Middle East & Africa Database</collection><collection>ProQuest Central Korea</collection><collection>Engineering Research Database</collection><collection>ProQuest Central Student</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Computer Science Collection</collection><collection>Computer Science Database</collection><collection>Civil Engineering Abstracts</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Advanced Technologies & Aerospace Database</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><jtitle>Mathematical problems in engineering</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Xiao, Guanghua</au><au>Li, Xiaoyan</au><au>Yang, Daheng</au><au>Hou, Qingmin</au><au>Ho, Siu Chun Michael</au><au>Wang, Yufei</au><au>Yufei Wang</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Modified Leakage Rate Calculation Models of Natural Gas Pipelines</atitle><jtitle>Mathematical problems in engineering</jtitle><date>2020</date><risdate>2020</risdate><volume>2020</volume><issue>2020</issue><spage>1</spage><epage>10</epage><pages>1-10</pages><issn>1024-123X</issn><eissn>1563-5147</eissn><abstract>The leakage rate is an essential parameter for the risk assessment and failure analysis of natural gas pipelines. The leakage rate of a natural gas pipeline should be calculated quickly and accurately to minimize consequences. First, in this study, models to estimate the leakage rate of natural gas pipelines are reclassified, and the theoretical range of application for each model is also analysed. Second, the impact of the leakage on the flow rate upstream of the leak point is considered, and the method of successive approximation is used to realize this feedback effect of flow rate change. Then, a modified hole-pipe model is developed to calculate the natural gas leakage rate in this paper. Compared with the leakage rate calculated by the hole-pipe model, the leakage rate calculated by the modified hole-pipe model is smaller and closer to the actual leakage rate due to the consideration of the feedback effect of the flow rate change. Finally, the leakage rate curves of the hole-pipe model and the modified hole-pipe model under different d/D conditions are obtained through simulation. 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| subjects | Approximation Failure analysis Feedback Flow velocity Gas pipelines Impact analysis Leakage Mathematical models Mathematical problems Model accuracy Natural gas Pipes Reservoirs Risk assessment |
| title | Modified Leakage Rate Calculation Models of Natural Gas Pipelines |
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