Energy Equipartition a Tool to Study Tsunami/Bathymetry Interaction

Energy Equipartition a Tool to Study Tsunami/Bathymetry Interaction | 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 Energy Equipartition a Tool to Study Tsunami/Bathymetry Interaction Dmitry Brazhnikov, Zygmunt Kowalik This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4542402/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 We propose a new approach to investigate tsunami propagation and interaction with bathymetry by considering the partitioning of the kinetic and potential energy in the total energy. Investigations of the total energy in time show that the equipartition of potential and kinetic energies is frequently disrupted due to wave interactions with varying bathymetry. First, the approach is tested in the channel with abrupt changes in the bathymetry. Along with usual, incident, reflected, and transmitted waves at the depth jump, the lack of equipartition of energy has been observed. The strength of differences between energies depends on the depth difference between the shallow and deep parts of the channel. Therefore, the differences between energies are correlated with reflection and transmission coefficients. Application to the ocean tsunami is made for the Japan/Tohoku tsunami of 2011. The observed kinetic and potential energies show equipartition along the considerable propagation distance until the wave impinges on prominent bathymetric features like Koko Guyot Seamount and Hess Rise. The energy difference again strongly depends on the relative depth between the ocean bottom plain and the seamount top. This research applied to Koko Guyot uncovered somewhat unusual signal amplification over the seamount. The modification of tsunami amplification and the wavefronts radiating energy to Hess Rise were related to the amplification of the negative sea level. This strong negative level is directed towards Crescent City as a secondary wave. Tsunami Energy equipartition Wave/bottom interaction North Pacific 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. 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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-4542402","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":315539679,"identity":"b420eb9a-12bb-49d9-a376-ea464f1a6cf3","order_by":0,"name":"Dmitry Brazhnikov","email":"","orcid":"","institution":"University of Alaska","correspondingAuthor":false,"prefix":"","firstName":"Dmitry","middleName":"","lastName":"Brazhnikov","suffix":""},{"id":315539680,"identity":"fe99a975-9b1b-47c6-8261-8f79be75d831","order_by":1,"name":"Zygmunt Kowalik","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA4klEQVRIiWNgGAWjYDACHhBRIGHAz8DcwMBwAMRLIEaLgYSBZAMjaVoYDAwOEKtFvufwMYkfBhbGxscPNn78ccaOgZ89xwCvFsbetjTJHgMJM7Mzic3SPDeSGSR73uDXwszPY3aDx0DCxuxAYoM0wwdmBoMbBGxhA2q5+Qeoxbj/YfPPHx/qGewJaeHh7TG7DbTFzEAisU2C58ZhYOgR0CLBcyz9t4yBhLHEjYdt1jxnjvNInHlWgFeLfE/yYcM3FXWG/f3Jh2/+OFYtx9+evAGvFkyXkqZ8FIyCUTAKRgFWAADAXkRwFNP3+wAAAABJRU5ErkJggg==","orcid":"","institution":"University of Alaska","correspondingAuthor":true,"prefix":"","firstName":"Zygmunt","middleName":"","lastName":"Kowalik","suffix":""}],"badges":[],"createdAt":"2024-06-06 20:53:16","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-4542402/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-4542402/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":80994704,"identity":"6b9dae33-4c2d-4cb6-ae53-a74ecd7014e6","added_by":"auto","created_at":"2025-04-21 04:46:50","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":3946649,"visible":true,"origin":"","legend":"","description":"","filename":"snarticle.pdf","url":"https://assets-eu.researchsquare.com/files/rs-4542402/v1_covered_0e71f187-3d4b-4c0f-aed7-d31293b3194f.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Energy Equipartition a Tool to Study Tsunami/Bathymetry Interaction","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":"Tsunami, Energy equipartition, Wave/bottom interaction, North Pacific","lastPublishedDoi":"10.21203/rs.3.rs-4542402/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-4542402/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"We propose a new approach to investigate tsunami propagation and interaction with bathymetry by considering the partitioning of the kinetic and potential energy in the total energy. 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