Analytical solution for heave of underlying shield tunnel caused by adjacent tunnelling considering shear deformation

Analytical solution for heave of underlying shield tunnel caused by adjacent tunnelling considering shear deformation | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article Analytical solution for heave of underlying shield tunnel caused by adjacent tunnelling considering shear deformation Zheng Wei This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4175345/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract Excavating a shield tunnel may cause a series of unforeseen adverse impacts on the adjacent underlying in-service tunnels. Therefore, it is significant to reasonably evaluate the influence of the newly excavated tunnel on the existing underlying shield tunnel to ensure safety and applicability of the existing tunnels. In this study, a simplified analytical solution is proposed to rapidly evaluate the responses of an existing underlying tunnel caused by newly tunnel construction. An elastic Timoshenko beam model, considering the shearing deformation of the existing shield tunnel as well as the interaction between adjacent segments, is presented for evaluating the responses of underlying shield tunnel associated with the tunnelling-induced free ground settlement. An equilibrium differential equation, combined with the finite difference analysis, is derived for the responses of the underlying in-service tunnel. The adaptability and reliability of proposed analytical solution is verified in comparison with published measurements. The predicted values were compared with the calculation results of different foundation coefficients. Parametric analyses are showed to evaluate the effects of various factors on the responses of underlying in-service tunnel, including the skew angle, equivalent shear stiffness and bending stiffness of underlying existing tunnel. Shield tunnel adjacent tunnelling Mindlin solution Timoshenko beam shear deformation Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Posted Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. 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Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-4175345","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":285670236,"identity":"75dba9a3-d1ab-41a5-b3f8-7f449bee9fcb","order_by":0,"name":"Zheng Wei","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAABQklEQVRIie3Rz2rCMBzA8V8JpJeUXhX35xUCgmwM6qss9FqH4EWGjEigXsRdHYztFdwbVH5gLz5AQWGWgSdvBRlDZCbbGBTnroP1S6Ek/D4lNABFRX8ySxL9osTqLgBKR3oRmWdX6RBxbaX4boYB/ZUAGFLux6EeMAQOER4rlTXbc2+UiPA66ZwxOO2l2Hybi1tJxjMG3lWeTMeyOpwufU1mwUQfjHG8GyzFMKL+BQO/lSO1REjfCdHnhlBDAJ0+ChmxWoVBJGSOPKcSne0HaQVbTeyFIY+Ru95LEqurHIleuT8OSSM0f4wje0UxihjdR+pToQib4KVrd1WlMSgxSgOOu49Un5BWz++5nyflXvySsQ7WKbHTLFjfnLhE72zw+CFWabJqe3ny1fe+uRYrhM/74vvn9QFz682Pk0VFRUX/r3dyN3rITBVw0wAAAABJRU5ErkJggg==","orcid":"","institution":"Tsinghua University","correspondingAuthor":true,"prefix":"","firstName":"Zheng","middleName":"","lastName":"Wei","suffix":""}],"badges":[],"createdAt":"2024-03-27 10:32:13","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-4175345/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-4175345/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":55870399,"identity":"e441db48-fe86-42ee-9479-302d78eb4823","added_by":"auto","created_at":"2024-05-05 11:42:33","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":1132501,"visible":true,"origin":"","legend":"","description":"","filename":"manuscript2024327.pdf","url":"https://assets-eu.researchsquare.com/files/rs-4175345/v1_covered_401cfde3-6f07-4de0-8710-dad6eb03d4a5.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Analytical solution for heave of underlying shield tunnel caused by adjacent tunnelling considering shear deformation","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":true,"highlight":"","institution":"","isAcceptedByJournal":false,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true},"keywords":"Shield tunnel, adjacent tunnelling, Mindlin solution, Timoshenko beam, shear deformation","lastPublishedDoi":"10.21203/rs.3.rs-4175345/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-4175345/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eExcavating a shield tunnel may cause a series of unforeseen adverse impacts on the adjacent underlying in-service tunnels. Therefore, it is significant to reasonably evaluate the influence of the newly excavated tunnel on the existing underlying shield tunnel to ensure safety and applicability of the existing tunnels. In this study, a simplified analytical solution is proposed to rapidly evaluate the responses of an existing underlying tunnel caused by newly tunnel construction. An elastic Timoshenko beam model, considering the shearing deformation of the existing shield tunnel as well as the interaction between adjacent segments, is presented for evaluating the responses of underlying shield tunnel associated with the tunnelling-induced free ground settlement. An equilibrium differential equation, combined with the finite difference analysis, is derived for the responses of the underlying in-service tunnel. The adaptability and reliability of proposed analytical solution is verified in comparison with published measurements. 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