Grouting Mechanism of Weathered Sandstone Based on Fractal Theory

Grouting Mechanism of Weathered Sandstone Based on Fractal Theory | 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PDF Article Grouting Mechanism of Weathered Sandstone Based on Fractal Theory Pengfei Qin This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-6090302/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 Water-rich weathered sandstones of tunnel, water conservancy, mining, and other engineering constructions, being exposed to water, are highly porous, strongly permeable, and have well-developed fissures posing significant safety threats during construction. Emphasizing the disorder and random uncertainty characteristics of sandstone fractures, this study explores the relationship between hydraulic conductivity and fractal dimension of sandstone based on fractal theory. Subsequently, considering the injectability of particulate slurry in fractures, a fractal model for cement dosage in grouting weathered sandstone is established. The study reveals cement dosage variations with fractal dimensions under one-dimensional and two-dimensional flow conditions. Three physically meaningful grouting zones namely the “hydraulic fracturing zone,” the “normal grouting zone,” and the “microfine fracturing zone” are defined based on the relationship curve between cement dosage and hydraulic conductivity. The field verification by data from the Qingdao metro project indicated that the measured data aligns with the theoretical patterns proposed in this study. The results indicate that the established relationship between hydraulic conductivity and cement dosage, and the defined grouting zones, are accurate and can be used to streamline engineering projects, involving weathered sandstone. Physical sciences/Engineering Physical sciences/Materials science Weathered sandstone Fractal theory Fracture network Grouting technology Hydraulic conductivity 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-6090302","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Article","associatedPublications":[],"authors":[{"id":443225103,"identity":"c4998800-bf12-4874-b24c-7186bcbeeaa7","order_by":0,"name":"Pengfei Qin","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA/ElEQVRIie3OsUrEMBzH8ZRCuvwh6z8U+gx/KHSx0FdJEHpLEUfHE6G39PaTe4rbHCsBXfIA51YRnBQOXK6LmMJt2lY3h3yHDCEf8mPM5/uHiTA0nbpCEFHDT3dqmshVXdLB5olsLD+9niFkLcnbukxpX/2SsL2iFLjRy6f3h+f+aJiIKmL93bgINkq9ABh9vb1YpKAMk80bBWs7TkJUbQpo9E1cZTFzxC2kMKjHCUe9jIGMrqXN5NGRYo64TUxuVOl+ggyHYYQzBKOa06HNEwQ3DMoFoH29vF9PkMKIj05/IhSPw7D8LBGr813XT5DvS4ej/QPw+Xw+3w99AYwhULWPZBvDAAAAAElFTkSuQmCC","orcid":"","institution":"","correspondingAuthor":true,"prefix":"","firstName":"Pengfei","middleName":"","lastName":"Qin","suffix":""}],"badges":[],"createdAt":"2025-02-23 13:23:18","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-6090302/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-6090302/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":87923619,"identity":"cd5930f6-e83f-45c9-a1b4-70721d369751","added_by":"auto","created_at":"2025-07-30 12:09:18","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":458431,"visible":true,"origin":"","legend":"","description":"","filename":"Manuscript6.pdf","url":"https://assets-eu.researchsquare.com/files/rs-6090302/v1_covered_24ff17bb-b55e-4c97-9ead-0ac773e320de.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Grouting Mechanism of Weathered Sandstone Based on Fractal Theory","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":"Weathered sandstone, Fractal theory, Fracture network, Grouting technology, Hydraulic conductivity","lastPublishedDoi":"10.21203/rs.3.rs-6090302/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-6090302/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eWater-rich weathered sandstones of tunnel, water conservancy, mining, and other engineering constructions, being exposed to water, are highly porous, strongly permeable, and have well-developed fissures posing significant safety threats during construction. Emphasizing the disorder and random uncertainty characteristics of sandstone fractures, this study explores the relationship between hydraulic conductivity and fractal dimension of sandstone based on fractal theory. Subsequently, considering the injectability of particulate slurry in fractures, a fractal model for cement dosage in grouting weathered sandstone is established. The study reveals cement dosage variations with fractal dimensions under one-dimensional and two-dimensional flow conditions. Three physically meaningful grouting zones namely the \u0026ldquo;hydraulic fracturing zone,\u0026rdquo; the \u0026ldquo;normal grouting zone,\u0026rdquo; and the \u0026ldquo;microfine fracturing zone\u0026rdquo; are defined based on the relationship curve between cement dosage and hydraulic conductivity. The field verification by data from the Qingdao metro project indicated that the measured data aligns with the theoretical patterns proposed in this study. The results indicate that the established relationship between hydraulic conductivity and cement dosage, and the defined grouting zones, are accurate and can be used to streamline engineering projects, involving weathered sandstone.\u003c/p\u003e","manuscriptTitle":"Grouting Mechanism of Weathered Sandstone Based on Fractal Theory","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2025-04-16 11:45:21","doi":"10.21203/rs.3.rs-6090302/v1","editorialEvents":[{"type":"communityComments","content":0}],"status":"published","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}}],"origin":"","ownerIdentity":"1b16d8da-d0de-4da2-9fb6-369553d20f52","owner":[],"postedDate":"April 16th, 2025","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"posted","subjectAreas":[{"id":47188219,"name":"Physical sciences/Engineering"},{"id":47188220,"name":"Physical sciences/Materials science"}],"tags":[],"updatedAt":"2025-07-30T12:08:42+00:00","versionOfRecord":[],"versionCreatedAt":"2025-04-16 11:45:21","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-6090302","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-6090302","identity":"rs-6090302","version":["v1"]},"buildId":"8U1c8b4HqxoKbykW_rLl7","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}