Studying on the solution of fractal composite reservoir seepage model with linear fault under elastic outer boundary

Studying on the solution of fractal composite reservoir seepage model with linear fault under elastic outer boundary | 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 Studying on the solution of fractal composite reservoir seepage model with linear fault under elastic outer boundary Tingrong Jiang, Pengshe Zheng, Lin Xu, Lihui Leng This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-3719948/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 In this paper, a fractal composite reservoir seepage model considering wellbore storage and skin factor is established for composite reservoirs with linear faults. The traditional three ideal external boundary conditions are generalized into elastic external boundary conditions. Through the dimensionless transformation and laplace transformation of the seepage model, combined with the mirror reflection method and the superposition principle, the similar structure solution of the dimensionless bottom hole pressure with the fault located in the inner zone and the mirror well located in the inner and outer zones is obtained by using the similar structure method. The Stehfest numerical inversion method is used to draw the typical characteristic curve of dimensionless bottom hole pressure and pressure derivative in real space, and the sensitivity analysis of the parameters is carried out. The results show that on the one hand, the distance between the fault and the production well has a great influence on the dimensionless pressure at the bottom of the well. On the other hand, the introduction of the elastic outer boundary can better describe the seepage characteristics of the reservoir and is more general. The research results are of great significance to the mining strategy of composite reservoirs, and also provide a new theoretical basis for further study of composite reservoirs with linearfaults. composite reservoir linear fault fractal theory elasticity similar structure method 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-3719948","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":257139511,"identity":"0d7986c4-08cd-4f4f-ae8e-45574b39da45","order_by":0,"name":"Tingrong Jiang","email":"","orcid":"","institution":"Xihua University","correspondingAuthor":false,"submittingAuthor":false,"prefix":"","firstName":"Tingrong","middleName":"","lastName":"Jiang","suffix":""},{"id":257139514,"identity":"4fd18f16-dd4c-4030-82b2-aff0ef35d8ce","order_by":1,"name":"Pengshe Zheng","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA+0lEQVRIiWNgGAWjYDACCQglx8DA2HiAgeEAiGNAlBZjoJYG0rQkNjCA1ROhRX5287GHX3fUpa9tP9xwgLHtTmIDe/M2CYaaOzi1MM45lm4se+Zw7rYziUCHnXmW2MBzrEyC4dgznFqYJXLMpCXbDuRuOwDSUnE4sQEoIsHYcBinFjaJ/G9ALXXpZucfArUYALXIv8GvhUcih03yYxtzgtkNuC08+LVISKSZSTOeOWy47QbQloQzh43beNKKLRKO4dYiPyP5meTPHXXyZufTHz742HZYtp/98MYbH2pwawEHAW8DlJUA8h2MgQ8w/mwgoGIUjIJRMApGNgAA/qVdiP8QvAoAAAAASUVORK5CYII=","orcid":"","institution":"Xihua University","correspondingAuthor":true,"submittingAuthor":false,"prefix":"","firstName":"Pengshe","middleName":"","lastName":"Zheng","suffix":""},{"id":257139517,"identity":"2ff95f6e-78d1-47e7-ab25-23cac260deb8","order_by":2,"name":"Lin Xu","email":"","orcid":"","institution":"Xihua University","correspondingAuthor":false,"submittingAuthor":false,"prefix":"","firstName":"Lin","middleName":"","lastName":"Xu","suffix":""},{"id":257139521,"identity":"1997cad2-373d-4842-89d8-6e98ad81a1a1","order_by":3,"name":"Lihui Leng","email":"","orcid":"","institution":"Xihua University","correspondingAuthor":false,"submittingAuthor":false,"prefix":"","firstName":"Lihui","middleName":"","lastName":"Leng","suffix":""}],"badges":[],"createdAt":"2023-12-07 10:59:24","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-3719948/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-3719948/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":48356710,"identity":"067521f7-ade5-4c8a-9683-3793ef0d48ef","added_by":"auto","created_at":"2023-12-17 21:52:23","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":6520273,"visible":true,"origin":"","legend":"","description":"","filename":"sntanyou.pdf","url":"https://assets-eu.researchsquare.com/files/rs-3719948/v1_covered_97e77c43-d9c6-4ee7-8d54-04376db654b2.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Studying on the solution of fractal composite reservoir seepage model \nwith linear fault under elastic outer boundary","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":"composite reservoir, linear fault, fractal theory, elasticity, similar structure method","lastPublishedDoi":"10.21203/rs.3.rs-3719948/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-3719948/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"In this paper, a fractal composite reservoir seepage model considering wellbore storage and skin factor is established for composite reservoirs with linear faults. The traditional three ideal external boundary conditions are generalized into elastic external boundary conditions. Through the dimensionless transformation and laplace transformation of the seepage model, combined with the mirror reflection method and the superposition principle, the similar structure solution of the dimensionless bottom hole pressure with the fault located in the inner zone and the mirror well located in the inner and outer zones is obtained by using the similar structure method. The Stehfest numerical inversion method is used to draw the typical characteristic curve of dimensionless bottom hole pressure and pressure derivative in real space, and the sensitivity analysis of the parameters is carried out. The results show that on the one hand, the distance between the fault and the production well has a great influence on the dimensionless pressure at the bottom of the well. On the other hand, the introduction of the elastic outer boundary can better describe the seepage characteristics of the reservoir and is more general. The research results are of great significance to the mining strategy of composite reservoirs, and also provide a new theoretical basis for further study of composite reservoirs with linearfaults.","manuscriptTitle":"Studying on the solution of fractal composite reservoir seepage model \nwith linear fault under elastic outer boundary","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2023-12-11 11:24:18","doi":"10.21203/rs.3.rs-3719948/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":"eb0bc02a-d051-4d83-bbcc-ae839b7e7d68","owner":[],"postedDate":"December 11th, 2023","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"posted","subjectAreas":[],"tags":[],"updatedAt":"2023-12-17T21:44:11+00:00","versionOfRecord":[],"versionCreatedAt":"2023-12-11 11:24:18","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-3719948","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-3719948","identity":"rs-3719948","version":["v1"]},"buildId":"FbvkV6FR0MCFSLy54lSbu","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}