Analytical Solution for Evaluating the Responses of Existing Pile Caused by Adjacent Tunnel Excavation

Analytical Solution for Evaluating the Responses of Existing Pile Caused by Adjacent Tunnel Excavation | 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for Evaluating the Responses of Existing Pile Caused by Adjacent Tunnel Excavation Zheng Wei This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4168344/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 22 Aug, 2024 Read the published version in Environmental Earth Sciences → Version 1 posted 9 You are reading this latest preprint version Abstract Tunnel excavation in short distance will change the physical equilibrium stress field of stratum and cause adverse effects on adjacent existing pile. A simplified analytical solution to calculate the horizontal displacement of existing pile under the influence of unloading in adjacent tunnel excavation is presented. First, consider that the existing pile is a Euler-Bernoulli beam resting on the Pasternak foundation model. Then, the free ground settlement of existing pile caused by a modified Loganathan’s formula during shield tunnel excavation is considered. The differential equation of lateral displacement of existing pile is established by combining the displacement coupling condition of tunnel-soil-pile foundation. Finally, the analytical solution of lateral displacement of pile caused by adjacent tunnelling is obtained by finite difference method. The reliability of the analytical solution is validated by comparing with boundary element program, finite element simulation and field measurement. Then, results of different factors such as tunnel buried depth, tunnel excavation radius, clearance distance between tunnel and pile on existing pile is analyzed. Through parameter analysis, the theoretical formula of maximum horizontal displacement of pile caused by tunnel excavation is put forward. The research content can provide theoretical verification for the investigation on the influence of adjacent tunnelling on deformation of existing pile. Adjacent tunnel excavation Existing pile Simplified mathematical model Prediction formula Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Published Journal Publication published 22 Aug, 2024 Read the published version in Environmental Earth Sciences → Version 1 posted Editorial decision: Revision requested 06 Jul, 2024 Reviews received at journal 04 Jun, 2024 Reviewers agreed at journal 08 May, 2024 Reviewers agreed at journal 07 May, 2024 Reviewers agreed at journal 06 May, 2024 Reviewers invited by journal 05 May, 2024 Editor assigned by journal 30 Mar, 2024 Submission checks completed at journal 27 Mar, 2024 First submitted to journal 26 Mar, 2024 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-4168344","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":285670067,"identity":"8bc6e188-2ae1-4a6e-a34c-20db7e7934b3","order_by":0,"name":"Zheng Wei","email":"data:image/png;base64,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","orcid":"","institution":"Tsinghua University","correspondingAuthor":true,"prefix":"","firstName":"Zheng","middleName":"","lastName":"Wei","suffix":""}],"badges":[],"createdAt":"2024-03-26 08:42:20","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-4168344/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-4168344/v1","draftVersion":[],"editorialEvents":[{"content":"https://doi.org/10.1007/s12665-024-11815-8","type":"published","date":"2024-08-22T15:57:38+00:00"}],"editorialNote":"","failedWorkflow":false,"files":[{"id":63300691,"identity":"93b78696-5b3f-4f72-813f-61d960f1b01e","added_by":"auto","created_at":"2024-08-26 16:16:39","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":793361,"visible":true,"origin":"","legend":"","description":"","filename":"manuscript0325.pdf","url":"https://assets-eu.researchsquare.com/files/rs-4168344/v1_covered_2282b5c6-e1bf-41e3-89ad-3060501e25be.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Analytical Solution for Evaluating the Responses of Existing Pile Caused by Adjacent Tunnel Excavation","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":false,"highlight":"","institution":"","isAcceptedByJournal":true,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"environmental-earth-sciences","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"enge","sideBox":"Learn more about [Environmental Earth Sciences](https://www.springer.com/journal/12665)","snPcode":"12665","submissionUrl":"https://submission.nature.com/new-submission/12665/3","title":"Environmental Earth Sciences","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"em","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false},"keywords":"Adjacent tunnel excavation, Existing pile, Simplified mathematical model, Prediction formula","lastPublishedDoi":"10.21203/rs.3.rs-4168344/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-4168344/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eTunnel excavation in short distance will change the physical equilibrium stress field of stratum and cause adverse effects on adjacent existing pile. A simplified analytical solution to calculate the horizontal displacement of existing pile under the influence of unloading in adjacent tunnel excavation is presented. First, consider that the existing pile is a Euler-Bernoulli beam resting on the Pasternak foundation model. Then, the free ground settlement of existing pile caused by a modified Loganathan\u0026rsquo;s formula during shield tunnel excavation is considered. The differential equation of lateral displacement of existing pile is established by combining the displacement coupling condition of tunnel-soil-pile foundation. Finally, the analytical solution of lateral displacement of pile caused by adjacent tunnelling is obtained by finite difference method. The reliability of the analytical solution is validated by comparing with boundary element program, finite element simulation and field measurement. Then, results of different factors such as tunnel buried depth, tunnel excavation radius, clearance distance between tunnel and pile on existing pile is analyzed. Through parameter analysis, the theoretical formula of maximum horizontal displacement of pile caused by tunnel excavation is put forward. 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