Generalized thermoelastic medium with diffusion and initial stress with double porosity structure under 3PHL model

Generalized thermoelastic medium with diffusion and initial stress with double porosity structure under 3PHL model | 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 Generalized thermoelastic medium with diffusion and initial stress with double porosity structure under 3PHL model Nehal T. Mansour This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-6092515/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 This study examines the influence of initial stress on a two-dimensional thermoelastic medium with a doubly porous structure in the presence of diffusion. The analysis utilizes the normal mode method to derive analytical expressions for various physical parameters, where solutions are represented in an exponential form. A homogeneous thermoelastic half-space with double porosity is investigated, incorporating the effects of both diffusion and initial stress. The governing equations are formulated using the generalized thermoelasticity framework for materials with double porosity, along with the 3PHL model. Furthermore, explicit expressions for multiple physical quantities are obtained. The general solutions under specific boundary conditions are explored in detail, and numerical results are computed for further analysis. This research has potential applications in rock mechanics, geophysics, and the petroleum industry. Additionally, it may benefit researchers working in material science, smart materials, and the development of advanced materials. Earth and environmental sciences/Solid earth sciences Physical sciences/Mathematics and computing Three-Phase-Lag (3PHL) Model Thermoelastic Diffusion Double Porosity Initial Stress 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. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. 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-6092515","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Article","associatedPublications":[],"authors":[{"id":424517795,"identity":"ddac2330-e037-4d58-99ce-11cb53cbbf49","order_by":0,"name":"Nehal T. Mansour","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA9UlEQVRIiWNgGAWjYFACHgaGB2AGG+PDDxUMDAZEaUkAq2NjNpY4Q6IWNgneNiK0mLP3HvyQwPBH3ry9LUFCct5heXP25gMMPyq24dRi2XMuWQJoi+GcM8cOGBRuO2y4s+dYAmPPmds4tRjcyDEAaWGcIZHekCC57TDjBqAIM2MbHi333xj/AGqxnyH/vOEA75zD9oS13OAxA9mSOEOC7WADb8PhRMJazuSYWSQYGCfP4ElLZpY4lp684cyxhIN4/XL8jPGNDxVytjPYj5n//FBjbbvhePPBBz8qcGuBaoSzmsHkAQLqUUAdKYpHwSgYBaNghAAAmulZ7EAfS94AAAAASUVORK5CYII=","orcid":"","institution":"Al Safwa High Institute of Engineering","correspondingAuthor":true,"prefix":"","firstName":"Nehal","middleName":"T.","lastName":"Mansour","suffix":""}],"badges":[],"createdAt":"2025-02-24 01:53:22","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-6092515/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-6092515/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":78728940,"identity":"cae34429-a473-4561-8e38-394fb23175ac","added_by":"auto","created_at":"2025-03-18 07:02:04","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":520856,"visible":true,"origin":"","legend":"","description":"","filename":"Generalizedthermoelasticmediumwithdiffusionandinitialstresswithdoubleporositystructureunder3phlmodel9.pdf","url":"https://assets-eu.researchsquare.com/files/rs-6092515/v1_covered_87f9c8f9-1819-46f9-9fcb-da4238365eae.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Generalized thermoelastic medium with diffusion and initial stress with double porosity structure under 3PHL model","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":"Three-Phase-Lag (3PHL) Model, Thermoelastic Diffusion, Double Porosity, Initial Stress","lastPublishedDoi":"10.21203/rs.3.rs-6092515/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-6092515/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"This study examines the influence of initial stress on a two-dimensional thermoelastic medium with a doubly porous structure in the presence of diffusion. The analysis utilizes the normal mode method to derive analytical expressions for various physical parameters, where solutions are represented in an exponential form. A homogeneous thermoelastic half-space with double porosity is investigated, incorporating the effects of both diffusion and initial stress. The governing equations are formulated using the generalized thermoelasticity framework for materials with double porosity, along with the 3PHL model. Furthermore, explicit expressions for multiple physical quantities are obtained. The general solutions under specific boundary conditions are explored in detail, and numerical results are computed for further analysis. This research has potential applications in rock mechanics, geophysics, and the petroleum industry. Additionally, it may benefit researchers working in material science, smart materials, and the development of advanced materials.","manuscriptTitle":"Generalized thermoelastic medium with diffusion and initial stress with double porosity structure under 3PHL model","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2025-03-07 02:51:16","doi":"10.21203/rs.3.rs-6092515/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":"6b3c3ffa-7504-4641-9229-dcc51d016152","owner":[],"postedDate":"March 7th, 2025","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"posted","subjectAreas":[{"id":45238945,"name":"Earth and environmental sciences/Solid earth sciences"},{"id":45238946,"name":"Physical sciences/Mathematics and computing"}],"tags":[],"updatedAt":"2025-03-18T06:53:49+00:00","versionOfRecord":[],"versionCreatedAt":"2025-03-07 02:51:16","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-6092515","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-6092515","identity":"rs-6092515","version":["v1"]},"buildId":"8U1c8b4HqxoKbykW_rLl7","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}